sequence_id
stringlengths 7
7
| sequence_name
stringlengths 4
573
| sequence
listlengths 1
348
| keywords
listlengths 1
8
| score
int64 1
2.35k
| offset_a
int64 -14,827
666,262,453B
| offset_b
int64 0
635M
⌀ | cross_references
listlengths 1
128
⌀ | former_ids
listlengths 1
3
⌀ | author
stringlengths 7
231
⌀ | timestamp
timestamp[us]date 1999-12-11 03:00:00
2025-07-19 00:40:46
| filename
stringlengths 29
29
| hash
stringlengths 32
32
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A384780
|
Consecutive states of the linear congruential pseudo-random number generator 127107890972165*s mod 2^48 when started at 1.
|
[
"1",
"127107890972165",
"97936613129241",
"273514721657469",
"208157768792689",
"190871074753077",
"130077535940873",
"140242115373869",
"12589906159073",
"144775771571045",
"83191635750649",
"67018942496989",
"27094905090641",
"40503495991701",
"211801672787433",
"25600309900173"
] |
[
"nonn",
"easy"
] | 14 | 1 | 2 |
[
"A384546",
"A384547",
"A384548",
"A384549",
"A384550",
"A384551",
"A384552",
"A384696",
"A384746",
"A384775",
"A384776",
"A384778",
"A384779",
"A384780"
] | null |
Sean A. Irvine, Jun 09 2025
| 2025-06-11T10:11:37 |
oeisdata/seq/A384/A384780.seq
|
f93a7ea59209582fd4849ab4caa28dae
|
A384781
|
Number of values of s, 0 < s <= n - 1, such that (-s)^s == s (mod n).
|
[
"0",
"1",
"0",
"0",
"1",
"2",
"1",
"0",
"1",
"4",
"0",
"1",
"1",
"3",
"3",
"0",
"0",
"4",
"0",
"1",
"2",
"3",
"1",
"1",
"3",
"6",
"1",
"3",
"1",
"6",
"1",
"0",
"3",
"2",
"2",
"3",
"3",
"3",
"2",
"1",
"1",
"6",
"0",
"3",
"5",
"3",
"1",
"1",
"3",
"8",
"2",
"2",
"2",
"4",
"3",
"2",
"1",
"5",
"0",
"3",
"3",
"3",
"7",
"0",
"5",
"6",
"0",
"1",
"3",
"8",
"1",
"3",
"3",
"8",
"5",
"3",
"4",
"6",
"1",
"1",
"4",
"3",
"0",
"5",
"2",
"4",
"6",
"2",
"4",
"10",
"5",
"2",
"3",
"3",
"2",
"1",
"4",
"8",
"5",
"5"
] |
[
"nonn"
] | 18 | 1 | 6 |
[
"A065295",
"A151821",
"A373901",
"A382752",
"A384781",
"A384854"
] | null |
Juri-Stepan Gerasimov, Jun 09 2025
| 2025-06-17T19:29:31 |
oeisdata/seq/A384/A384781.seq
|
d32527e408693487c3986bac10b3f80a
|
A384782
|
Triangle read by rows: T(n,k) is the number of face-connected polyhedral components consisting of k cuboctahedra and n-k octahedra in the rectified cubic honeycomb up to translation, rotation, and reflection of the honeycomb, 0<=k<=n.
|
[
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"3",
"4",
"2",
"0",
"3",
"18",
"12",
"7",
"0",
"6",
"60",
"126",
"75",
"23",
"0",
"3",
"165",
"751",
"1025",
"473",
"112",
"0",
"3",
"346",
"3784",
"9414",
"8936",
"3539",
"607",
"0",
"1",
"565",
"14112",
"66503",
"108739",
"80531",
"27027",
"3811",
"0",
"1",
"723",
"42420",
"362939",
"994542",
"1204093",
"725795",
"212122",
"25413",
"0",
"0",
"723",
"101237",
"1586479",
"7065791",
"13389295",
"12792264",
"6512671",
"1678783",
"178083"
] |
[
"nonn",
"tabl"
] | 24 | 0 | 8 |
[
"A365970",
"A384254",
"A384486",
"A384755",
"A384782"
] | null |
Peter Kagey and Bert Dobbelaere, Jun 09 2025
| 2025-06-15T14:36:56 |
oeisdata/seq/A384/A384782.seq
|
a741a217e5b295177de014871394fd57
|
A384783
|
The number of unordered factorizations of the n-th powerful number into 1 and prime powers p^e where p is prime and e >= 2 (A025475).
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"4",
"1",
"2",
"1",
"1",
"1",
"1",
"4",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"7",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"8",
"1",
"4",
"2",
"2",
"1",
"1",
"4",
"2",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"12",
"1",
"1",
"4",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"1",
"4",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"14",
"1",
"4",
"1",
"1",
"7",
"1",
"2"
] |
[
"nonn",
"easy"
] | 9 | 1 | 5 |
[
"A001694",
"A025475",
"A188585",
"A384783",
"A384784",
"A384785"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T11:34:23 |
oeisdata/seq/A384/A384783.seq
|
8c313aacd734d9664ac09eb66f3eec2b
|
A384784
|
Numbers with a record number of unordered factorizations into 1 and prime powers p^e where p is prime and e >= 2 (A025475).
|
[
"1",
"16",
"64",
"256",
"512",
"1024",
"2048",
"4096",
"8192",
"16384",
"32768",
"65536",
"131072",
"262144",
"524288",
"1048576",
"2097152",
"4194304",
"8388608",
"16777216",
"33554432",
"67108864",
"134217728",
"268435456",
"536870912",
"1073741824",
"2147483648",
"4294967296",
"8589934592",
"17179869184",
"34359738368"
] |
[
"nonn"
] | 9 | 1 | 2 |
[
"A001694",
"A025475",
"A025487",
"A046055",
"A181800",
"A188585",
"A384783",
"A384784",
"A384786"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T08:41:35 |
oeisdata/seq/A384/A384784.seq
|
4ec19a1c82f98dd284b3143f89d21001
|
A384785
|
The number of unordered factorizations of the n-th cubefull number into 1 and prime powers p^e where p is prime and e >= 3 (A246549).
|
[
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"3",
"1",
"1",
"4",
"1",
"1",
"2",
"1",
"1",
"5",
"1",
"1",
"2",
"1",
"1",
"6",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"9",
"1",
"1",
"2",
"1",
"2",
"3",
"1",
"3",
"1",
"2",
"10",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"4",
"1",
"2",
"2",
"2",
"13",
"1",
"1",
"2",
"1",
"1",
"4",
"1",
"3",
"1",
"2",
"2",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"1",
"2",
"3",
"17",
"2"
] |
[
"nonn",
"easy"
] | 10 | 1 | 6 |
[
"A008483",
"A036966",
"A246549",
"A384783",
"A384785",
"A384786"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T11:34:38 |
oeisdata/seq/A384/A384785.seq
|
13959d8d39bc61ad3ab073801700de4e
|
A384786
|
Numbers with a record number of unordered factorizations into 1 and prime powers p^e where p is prime and e >= 3 (A246549).
|
[
"1",
"64",
"256",
"512",
"1024",
"2048",
"4096",
"8192",
"16384",
"32768",
"65536",
"131072",
"262144",
"524288",
"1048576",
"2097152",
"4194304",
"8388608",
"16777216",
"33554432",
"67108864",
"134217728",
"268435456",
"536870912",
"1073741824",
"2147483648",
"4294967296",
"8589934592",
"17179869184",
"34359738368",
"68719476736"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A001694",
"A008483",
"A025487",
"A046055",
"A181800",
"A246549",
"A384784",
"A384785",
"A384786"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T11:36:37 |
oeisdata/seq/A384/A384786.seq
|
7cc3d1a107158b80391ce1dfe66df6ac
|
A384787
|
E.g.f. A(x) satisfies A(x) = exp( x*A(x) * A(2*x*A(x)) ).
|
[
"1",
"1",
"7",
"148",
"7381",
"801536",
"186678019",
"93865986880",
"102755888482153",
"245872091164966912",
"1285664593514044479391",
"14650473009515606022910976",
"362327823926201727094352145661",
"19359048028300511200690402408529920",
"2224311455921555052696103713299884826395"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A140049",
"A384787",
"A384788"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T12:52:21 |
oeisdata/seq/A384/A384787.seq
|
05355a2e7e81f12be2ef10ca845fa34d
|
A384788
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384787.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"148",
"0",
"1",
"4",
"27",
"338",
"7381",
"0",
"1",
"5",
"40",
"576",
"16240",
"801536",
"0",
"1",
"6",
"55",
"868",
"26829",
"1697602",
"186678019",
"0",
"1",
"7",
"72",
"1220",
"39424",
"2701488",
"384962560",
"93865986880",
"0",
"1",
"8",
"91",
"1638",
"54325",
"3828164",
"595921743",
"190657584770",
"102755888482153",
"0"
] |
[
"nonn",
"tabl"
] | 11 | 0 | 8 |
[
"A000007",
"A379168",
"A384787",
"A384788"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:57:10 |
oeisdata/seq/A384/A384788.seq
|
45d447153779d41937406589edb3c98b
|
A384789
|
The number of ways in which the n-th cubefull number can be expressed as b^3 * c^4 * d^5, with b, c and d >= 1.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"4",
"1",
"1"
] |
[
"nonn",
"easy"
] | 8 | 1 | 12 |
[
"A008680",
"A036966",
"A057523",
"A384789",
"A384791"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T11:36:49 |
oeisdata/seq/A384/A384789.seq
|
d1254f67078de855cd7a54e541b9e63d
|
A384790
|
Numbers with a record number of ways in which they can be expressed as b^2 * c^3, with b and c >= 1.
|
[
"1",
"64",
"4096",
"46656",
"2985984",
"191102976",
"2176782336",
"12230590464",
"46656000000",
"2985984000000",
"34012224000000",
"191102976000000",
"2176782336000000",
"139314069504000000",
"351298031616000000",
"4001504141376000000",
"22483074023424000000",
"256096265048064000000",
"16390160963076096000000"
] |
[
"nonn"
] | 17 | 1 | 2 |
[
"A001694",
"A002182",
"A025487",
"A046055",
"A057523",
"A181800",
"A370256",
"A384790",
"A384791"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-06-10T12:36:07 |
oeisdata/seq/A384/A384790.seq
|
2da2060b6ac428b8b7aa08dc19160f50
|
A384791
|
Numbers with a record number of ways in which they can be expressed as b^3 * c^4 * d^5, with b, c and d >= 1.
|
[
"1",
"256",
"4096",
"32768",
"262144",
"1048576",
"8388608",
"16777216",
"134217728",
"268435456",
"1073741824",
"4294967296",
"8589934592",
"34359738368",
"68719476736",
"110075314176",
"549755813888",
"557256278016",
"1761205026816",
"4458050224128",
"7044820107264",
"8916100448256",
"56358560858112",
"71328803586048"
] |
[
"nonn"
] | 29 | 1 | 2 |
[
"A008680",
"A025487",
"A036966",
"A046055",
"A181800",
"A384789",
"A384790",
"A384791"
] | null |
Amiram Eldar, Jun 10 2025
| 2025-07-04T19:51:27 |
oeisdata/seq/A384/A384791.seq
|
824a6e8b0a43405f19dd34f34d5d6db2
|
A384792
|
Smallest number with a n-character traditional Japanese notation.
|
[
"1",
"11",
"21",
"121",
"221",
"1121",
"1221",
"11121",
"11221",
"111221",
"211221",
"1211221",
"2211221",
"11211221",
"12211221",
"111211221",
"112211221",
"1112211221",
"2112211221",
"12112211221",
"22112211221",
"112112211221",
"122112211221",
"1112112211221"
] |
[
"nonn",
"easy",
"fini",
"full"
] | 35 | 1 | 2 | null | null |
Renaud Gaudron, Jun 10 2025
| 2025-07-04T01:20:06 |
oeisdata/seq/A384/A384792.seq
|
62522e7afc42e1e0dc033da4b942c5e6
|
A384793
|
a(n) is the start of the first occurrence of exactly n consecutive zeroless primes (A038618).
|
[
"461717",
"162119",
"75431",
"81421",
"19661",
"5923",
"4813",
"1319",
"2917",
"1117",
"1721",
"521",
"911",
"613",
"311",
"11519",
"25411",
"7321",
"7717",
"8819",
"9413",
"5519",
"9613",
"2311",
"2",
"41213",
"16319",
"1423",
"21121",
"8219",
"162221",
"71233",
"113",
"68521",
"148627",
"192611",
"86531",
"48413",
"269219",
"13313",
"275521",
"11113",
"111521"
] |
[
"nonn",
"base"
] | 30 | 1 | 1 |
[
"A038618",
"A052382",
"A384793",
"A384794"
] | null |
Hugo Pfoertner, based on an idea by René-Louis Clerc, Jun 20 2025
| 2025-07-03T09:29:35 |
oeisdata/seq/A384/A384793.seq
|
2ab795fcb5d44561fe7aa930405027f9
|
A384794
|
a(n) is the index of A384793(n) in A038618.
|
[
"25854",
"10283",
"5501",
"5861",
"1734",
"638",
"535",
"178",
"353",
"154",
"226",
"89",
"141",
"101",
"59",
"1053",
"2110",
"758",
"800",
"899",
"949",
"593",
"970",
"282",
"1",
"3184",
"1463",
"186",
"1769",
"836",
"10285",
"5190",
"26",
"5075",
"9495",
"12124",
"6222",
"3733",
"16123",
"1205",
"16463",
"1011",
"7153",
"59960",
"19815",
"10030",
"23986"
] |
[
"nonn"
] | 4 | 1 | 1 |
[
"A038618",
"A052382",
"A384793",
"A384794"
] | null |
Hugo Pfoertner, Jun 29 2025
| 2025-06-29T18:28:50 |
oeisdata/seq/A384/A384794.seq
|
8eb097ba1043bc537eb4aa2f8a962603
|
A384795
|
Sorted list of sums of 5 prices in minor currency units for a currency that has a 2-decimal minor unit, such that the riddle "sum of prices equals product of prices" has a solution, with prices expressed as floating point numbers with 2 decimals.
|
[
"759",
"760",
"762",
"765",
"770",
"770",
"774",
"777",
"779",
"780",
"780",
"780",
"783",
"783",
"784",
"785",
"786",
"791",
"791",
"792",
"792",
"792",
"795",
"798",
"798",
"798",
"798",
"798",
"799",
"799",
"800",
"804",
"804",
"805",
"805",
"805",
"806",
"808",
"810",
"810",
"810",
"810",
"810",
"810",
"810",
"810",
"812",
"812",
"813",
"816",
"816",
"816",
"817",
"817",
"817"
] |
[
"nonn",
"fini"
] | 12 | 1 | 1 |
[
"A380887",
"A381619",
"A381621",
"A382510",
"A384795"
] | null |
Hugo Pfoertner, Jun 15 2025
| 2025-06-22T00:51:43 |
oeisdata/seq/A384/A384795.seq
|
bbf811a40428219377cb7f8589328f8b
|
A384796
|
Combined output of the Wichmann-Hill pseudo-random number generator multiplied by the product of its 3 internal moduli, 27817185604309.
|
[
"2754208631",
"470970160205",
"24903444211891",
"3101366430392",
"26134991275992",
"3566993679349",
"4951570111121",
"8340345602949",
"9728181819298",
"1649210285891",
"22865151158696",
"24517988506432",
"4452776901870",
"18020118105109",
"13572449960958",
"8737468266210",
"5324174073106",
"26277704743891"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A384796",
"A385031",
"A385032",
"A385033"
] | null |
Hugo Pfoertner, Jun 17 2025
| 2025-06-19T09:26:08 |
oeisdata/seq/A384/A384796.seq
|
aff484e5857d9c202bab7b883a7cab4f
|
A384797
|
a(n) = A047800(n) - A047800(n-1).
|
[
"2",
"3",
"4",
"5",
"5",
"7",
"7",
"8",
"9",
"10",
"10",
"12",
"11",
"12",
"14",
"15",
"13",
"17",
"15",
"18",
"18",
"19",
"17",
"21",
"21",
"21",
"22",
"23",
"22",
"26",
"23",
"26",
"27",
"24",
"28",
"31",
"28",
"29",
"29",
"34",
"28",
"34",
"32",
"32",
"37",
"34",
"35",
"38",
"36",
"38",
"38",
"39",
"34",
"40",
"42",
"44",
"43",
"44",
"42",
"49",
"42",
"42",
"46",
"45",
"51",
"50",
"46",
"47",
"50"
] |
[
"nonn",
"easy",
"new"
] | 14 | 1 | 1 |
[
"A047800",
"A160663",
"A384797",
"A384798",
"A384799"
] | null |
Hugo Pfoertner, Jun 17 2025
| 2025-07-07T20:19:52 |
oeisdata/seq/A384/A384797.seq
|
73ab57a6983d60bef8fba758d9fc2d82
|
A384798
|
Records in A384797.
|
[
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"10",
"12",
"14",
"15",
"17",
"18",
"19",
"21",
"22",
"23",
"26",
"27",
"28",
"31",
"34",
"37",
"38",
"39",
"40",
"42",
"44",
"49",
"51",
"56",
"58",
"64",
"69",
"71",
"73",
"77",
"79",
"82",
"92",
"94",
"101",
"104",
"108",
"109",
"111",
"116",
"118",
"120",
"129",
"136",
"140",
"141",
"155",
"160",
"172",
"174",
"181",
"190",
"193",
"194",
"208",
"209"
] |
[
"nonn",
"new"
] | 13 | 1 | 1 |
[
"A047800",
"A384797",
"A384798",
"A384799"
] | null |
Hugo Pfoertner, Jun 17 2025
| 2025-07-07T20:28:23 |
oeisdata/seq/A384/A384798.seq
|
0c18fa24ef06455c6b5c681375c30484
|
A384799
|
Positions of records in A384797.
|
[
"1",
"2",
"3",
"4",
"6",
"8",
"9",
"10",
"12",
"15",
"16",
"18",
"20",
"22",
"24",
"27",
"28",
"30",
"33",
"35",
"36",
"40",
"45",
"48",
"52",
"54",
"55",
"56",
"60",
"65",
"70",
"78",
"80",
"90",
"95",
"100",
"105",
"108",
"110",
"120",
"130",
"135",
"140",
"150",
"155",
"156",
"160",
"165",
"168",
"180",
"190",
"200",
"205",
"210",
"225",
"240",
"255",
"260",
"270",
"280",
"285",
"300"
] |
[
"nonn",
"new"
] | 12 | 1 | 2 |
[
"A047800",
"A384797",
"A384798",
"A384799"
] | null |
Hugo Pfoertner, Jun 17 2025
| 2025-07-07T20:30:07 |
oeisdata/seq/A384/A384799.seq
|
97df304cd4a822e85a5fcf2cecdf8124
|
A384800
|
a(n) = A384727(A368538(n)).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"1",
"1",
"7",
"1",
"1",
"5",
"1",
"6",
"1",
"1",
"2",
"4",
"1",
"1",
"23",
"1",
"13",
"2"
] |
[
"nonn",
"more"
] | 21 | 1 | 7 |
[
"A368538",
"A384727",
"A384800"
] | null |
Richard Stanley, Jun 10 2025
| 2025-06-14T12:11:12 |
oeisdata/seq/A384/A384800.seq
|
2bca411e4497176010fda0b57868f849
|
A384801
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A213108.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"3",
"0",
"1",
"3",
"8",
"10",
"0",
"1",
"4",
"15",
"38",
"41",
"0",
"1",
"5",
"24",
"90",
"216",
"76",
"0",
"1",
"6",
"35",
"172",
"633",
"1162",
"-2183",
"0",
"1",
"7",
"48",
"290",
"1424",
"4668",
"2236",
"-54998",
"0",
"1",
"8",
"63",
"450",
"2745",
"12724",
"30177",
"-102282",
"-1045567",
"0",
"1",
"9",
"80",
"658",
"4776",
"28300",
"113080",
"43914",
"-3135056",
"-15948296",
"0"
] |
[
"sign",
"tabl"
] | 11 | 0 | 8 |
[
"A000007",
"A213108",
"A384801"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:57:03 |
oeisdata/seq/A384/A384801.seq
|
baa5871466b30639b010b67bc211a308
|
A384802
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A213109.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"3",
"0",
"1",
"3",
"8",
"22",
"0",
"1",
"4",
"15",
"62",
"233",
"0",
"1",
"5",
"24",
"126",
"696",
"3716",
"0",
"1",
"6",
"35",
"220",
"1497",
"11082",
"77257",
"0",
"1",
"7",
"48",
"350",
"2768",
"24228",
"229756",
"2026606",
"0",
"1",
"8",
"63",
"522",
"4665",
"46004",
"504657",
"5961846",
"63726497",
"0",
"1",
"9",
"80",
"742",
"7368",
"80100",
"969400",
"13042326",
"185814320",
"2333516392",
"0"
] |
[
"nonn",
"tabl"
] | 10 | 0 | 8 |
[
"A000007",
"A213109",
"A384802"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:57:06 |
oeisdata/seq/A384/A384802.seq
|
ecd09a08d034487f241c714f0fdb4865
|
A384803
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^4) ).
|
[
"1",
"1",
"3",
"28",
"365",
"7456",
"198967",
"6600448",
"260641817",
"11805179392",
"603174969611",
"34119591645184",
"2107808150141509",
"140656454965522432",
"10045467848093258687",
"762717885873201995776",
"61259933997939643876913",
"5188866020593647457533952",
"463236056771875012276202899"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A213108",
"A213109",
"A384803",
"A384804"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T12:53:24 |
oeisdata/seq/A384/A384803.seq
|
ee044bd67f4e678ac2be7254183c2365
|
A384804
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384803.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"3",
"0",
"1",
"3",
"8",
"28",
"0",
"1",
"4",
"15",
"74",
"365",
"0",
"1",
"5",
"24",
"144",
"1008",
"7456",
"0",
"1",
"6",
"35",
"244",
"2037",
"20242",
"198967",
"0",
"1",
"7",
"48",
"380",
"3584",
"40848",
"535936",
"6600448",
"0",
"1",
"8",
"63",
"558",
"5805",
"72484",
"1076427",
"17641290",
"260641817",
"0",
"1",
"9",
"80",
"784",
"8880",
"119200",
"1909120",
"35239872",
"693025024",
"11805179392",
"0"
] |
[
"nonn",
"tabl"
] | 10 | 0 | 8 |
[
"A000007",
"A384803",
"A384804"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:56:59 |
oeisdata/seq/A384/A384804.seq
|
d6f889d090e2825136fece64c7965065
|
A384805
|
Consider triangles ABC satisfying (sin A)^2 + (sin B)^2 = sin C. Sequence gives A_0 (in radians), the maximum A such that more than one triple (A,B,C) is possible.
|
[
"2",
"2",
"3",
"2",
"9",
"6",
"5",
"3",
"3",
"8",
"8",
"4",
"5",
"5",
"6",
"8",
"4",
"5",
"7",
"9",
"5",
"3",
"6",
"3",
"0",
"4",
"0",
"6",
"8",
"6",
"6",
"0",
"8",
"8",
"4",
"0",
"5",
"4",
"4",
"8",
"4",
"4",
"0",
"9",
"1",
"7",
"2",
"4",
"3",
"3",
"9",
"6",
"3",
"2",
"6",
"0",
"7",
"4",
"5",
"2",
"5",
"2",
"0",
"0",
"0",
"9",
"6",
"7",
"5",
"1",
"3",
"3",
"5",
"4",
"6",
"8",
"9",
"6",
"6",
"6",
"8",
"3",
"1",
"8",
"3",
"2",
"3",
"7",
"5",
"6"
] |
[
"nonn",
"cons",
"easy"
] | 10 | 0 | 1 |
[
"A384805",
"A384807"
] | null |
Jianing Song, Jun 10 2025
| 2025-06-10T08:59:13 |
oeisdata/seq/A384/A384805.seq
|
5902555c2b4b1ad01cf2091581d38882
|
A384806
|
Simple continued fraction expansion of arctan(1/2)/Pi.
|
[
"0",
"6",
"1",
"3",
"2",
"5",
"1",
"6",
"5",
"3",
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"2",
"3",
"2",
"2",
"2",
"2",
"3",
"2",
"1",
"1",
"3",
"1",
"3",
"2",
"1",
"1",
"3",
"1",
"17",
"1",
"5",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"4",
"7",
"11",
"1",
"2",
"1",
"583",
"1",
"2",
"1",
"1",
"2",
"22",
"7",
"3",
"23",
"2",
"6",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"3",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"2",
"3",
"17",
"6",
"2",
"70",
"1",
"6"
] |
[
"nonn",
"cofr"
] | 8 | 0 | 2 |
[
"A000796",
"A073000",
"A086203",
"A384806"
] | null |
Stefano Spezia, Jun 10 2025
| 2025-06-10T08:46:37 |
oeisdata/seq/A384/A384806.seq
|
8524877726728ddb9c462043c7c632f0
|
A384807
|
Consider triangles ABC satisfying (sin A)^2 + (sin B)^2 = sin C. Sequence gives A_0 (in degrees), the maximum A such that more than one triple (A,B,C) is possible.
|
[
"1",
"2",
"7",
"9",
"3",
"9",
"4",
"8",
"9",
"7",
"1",
"4",
"8",
"5",
"0",
"8",
"4",
"3",
"9",
"8",
"8",
"6",
"1",
"2",
"2",
"7",
"5",
"0",
"2",
"8",
"7",
"9",
"8",
"1",
"6",
"7",
"9",
"9",
"2",
"0",
"3",
"1",
"6",
"0",
"5",
"0",
"8",
"9",
"3",
"7",
"8",
"0",
"8",
"1",
"6",
"4",
"2",
"8",
"9",
"2",
"3",
"6",
"2",
"9",
"9",
"2",
"2",
"4",
"9",
"3",
"1",
"0",
"9",
"7",
"0",
"5",
"2",
"4",
"7",
"7",
"7",
"2",
"8",
"7",
"3",
"9",
"8",
"7",
"4"
] |
[
"nonn",
"cons",
"easy"
] | 9 | 2 | 2 |
[
"A384805",
"A384807"
] | null |
Jianing Song, Jun 10 2025
| 2025-06-10T08:59:20 |
oeisdata/seq/A384/A384807.seq
|
74de8adc4f2f8c1e2a2919720c5c9f30
|
A384808
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384617.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"5",
"0",
"1",
"3",
"12",
"13",
"0",
"1",
"4",
"21",
"56",
"-63",
"0",
"1",
"5",
"32",
"135",
"128",
"-2279",
"0",
"1",
"6",
"45",
"256",
"753",
"-3888",
"-51167",
"0",
"1",
"7",
"60",
"425",
"2016",
"-1797",
"-135752",
"-423387",
"0",
"1",
"8",
"77",
"648",
"4145",
"8224",
"-224775",
"-2099032",
"13717889",
"0",
"1",
"9",
"96",
"931",
"7392",
"31725",
"-256016",
"-5236809",
"3294432",
"885044593",
"0"
] |
[
"sign",
"tabl"
] | 10 | 0 | 8 |
[
"A000007",
"A384617",
"A384808"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:56:55 |
oeisdata/seq/A384/A384808.seq
|
da6b23f3544b43a5bd60a44b8fde8056
|
A384809
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^2)^2 ).
|
[
"1",
"1",
"5",
"25",
"153",
"-799",
"-82787",
"-2990343",
"-98020367",
"-2473062911",
"-22379003019",
"3535310560409",
"426542722323721",
"33942691393940577",
"2320589389274335117",
"131491185267395291641",
"4583444982950062321377",
"-254657491559719266483967",
"-86887910247671284788294683"
] |
[
"sign"
] | 10 | 0 | 3 |
[
"A052750",
"A213110",
"A213111",
"A384617",
"A384809",
"A384810",
"A384811"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T16:33:25 |
oeisdata/seq/A384/A384809.seq
|
a35c2b12bf6df0476119b222bf0e41ef
|
A384810
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^3)^2 ).
|
[
"1",
"1",
"5",
"37",
"417",
"4761",
"33313",
"-1509339",
"-135791359",
"-8149132943",
"-455269648959",
"-24532196772291",
"-1260399381304511",
"-56411711489070807",
"-1357347436103060191",
"146282852689561868821",
"35003916010171558562817",
"5112183093788001812407521",
"647998390863196992450043777"
] |
[
"sign"
] | 12 | 0 | 3 |
[
"A052750",
"A213110",
"A213111",
"A384617",
"A384809",
"A384810",
"A384813"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T16:33:29 |
oeisdata/seq/A384/A384810.seq
|
f391fac8c9776ba5fbccaf320796f20e
|
A384811
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384809.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"5",
"0",
"1",
"3",
"12",
"25",
"0",
"1",
"4",
"21",
"80",
"153",
"0",
"1",
"5",
"32",
"171",
"656",
"-799",
"0",
"1",
"6",
"45",
"304",
"1689",
"2432",
"-82787",
"0",
"1",
"7",
"60",
"485",
"3456",
"13443",
"-139712",
"-2990343",
"0",
"1",
"8",
"77",
"720",
"6185",
"37184",
"-100755",
"-7039744",
"-98020367",
"0",
"1",
"9",
"96",
"1015",
"10128",
"79925",
"143104",
"-11110677",
"-267665152",
"-2473062911",
"0"
] |
[
"sign",
"tabl"
] | 11 | 0 | 8 |
[
"A000007",
"A384809",
"A384811"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:56:52 |
oeisdata/seq/A384/A384811.seq
|
a31da9eb31afd395835a78d509d61dc7
|
A384812
|
If n = Product prime(i)^e(i) then a(n) = Sum prime(e(i)).
|
[
"0",
"2",
"2",
"3",
"2",
"4",
"2",
"5",
"3",
"4",
"2",
"5",
"2",
"4",
"4",
"7",
"2",
"5",
"2",
"5",
"4",
"4",
"2",
"7",
"3",
"4",
"5",
"5",
"2",
"6",
"2",
"11",
"4",
"4",
"4",
"6",
"2",
"4",
"4",
"7",
"2",
"6",
"2",
"5",
"5",
"4",
"2",
"9",
"3",
"5",
"4",
"5",
"2",
"7",
"4",
"7",
"4",
"4",
"2",
"7",
"2",
"4",
"5",
"13",
"4",
"6",
"2",
"5",
"4",
"6",
"2",
"8",
"2",
"4",
"5",
"5",
"4",
"6",
"2",
"9",
"7",
"4",
"2",
"7",
"4",
"4",
"4",
"7",
"2",
"7"
] |
[
"nonn"
] | 6 | 1 | 2 |
[
"A001222",
"A001414",
"A008472",
"A066328",
"A181819",
"A366988",
"A384812"
] | null |
Ilya Gutkovskiy, Jun 10 2025
| 2025-06-16T19:15:08 |
oeisdata/seq/A384/A384812.seq
|
f7ef42411451371ea694af3191f63910
|
A384813
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384810.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"5",
"0",
"1",
"3",
"12",
"37",
"0",
"1",
"4",
"21",
"104",
"417",
"0",
"1",
"5",
"32",
"207",
"1280",
"4761",
"0",
"1",
"6",
"45",
"352",
"2769",
"17392",
"33313",
"0",
"1",
"7",
"60",
"545",
"5088",
"42363",
"213688",
"-1509339",
"0",
"1",
"8",
"77",
"792",
"8465",
"85344",
"656505",
"-472456",
"-135791359",
"0",
"1",
"9",
"96",
"1099",
"13152",
"153325",
"1521904",
"6181815",
"-254502688",
"-8149132943",
"0"
] |
[
"sign",
"tabl"
] | 11 | 0 | 8 |
[
"A000007",
"A384808",
"A384810",
"A384811",
"A384813"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-10T13:57:18 |
oeisdata/seq/A384/A384813.seq
|
9aeeb41ffd0f6ca8860258e6f8336060
|
A384814
|
Integers k such that there exists an integer 0<m<k such that (1/sigma(m) + 1/sigma(k))*(m+k) = 2.
|
[
"28",
"56",
"66",
"88",
"90",
"114",
"132",
"174",
"220",
"234",
"238",
"246",
"284",
"306",
"308",
"312",
"340",
"348",
"356",
"496",
"532",
"534",
"552",
"618",
"620",
"654",
"668",
"728",
"752",
"760",
"786",
"812",
"856",
"963",
"990",
"992",
"996",
"1052",
"1092",
"1148",
"1180",
"1196",
"1210",
"1220",
"1232",
"1244",
"1288",
"1320",
"1326",
"1364",
"1372",
"1474",
"1494",
"1580"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A000203",
"A000396",
"A002025",
"A002046",
"A383964",
"A384814"
] | null |
S. I. Dimitrov, Jun 10 2025
| 2025-06-19T00:46:31 |
oeisdata/seq/A384/A384814.seq
|
0a07950070637c7795b839d39bc00d1e
|
A384815
|
Sum of the cubes of the exponents in the prime factorization of n.
|
[
"0",
"1",
"1",
"8",
"1",
"2",
"1",
"27",
"8",
"2",
"1",
"9",
"1",
"2",
"2",
"64",
"1",
"9",
"1",
"9",
"2",
"2",
"1",
"28",
"8",
"2",
"27",
"9",
"1",
"3",
"1",
"125",
"2",
"2",
"2",
"16",
"1",
"2",
"2",
"28",
"1",
"3",
"1",
"9",
"9",
"2",
"1",
"65",
"8",
"9",
"2",
"9",
"1",
"28",
"2",
"28",
"2",
"2",
"1",
"10",
"1",
"2",
"9",
"216",
"2",
"3",
"1",
"9",
"2",
"3",
"1",
"35",
"1",
"2",
"9",
"9",
"2",
"3",
"1",
"65",
"64",
"2",
"1",
"10",
"2",
"2",
"2",
"28",
"1",
"10"
] |
[
"nonn",
"easy"
] | 15 | 1 | 4 |
[
"A001222",
"A001620",
"A005064",
"A090885",
"A360970",
"A384815"
] | null |
Ilya Gutkovskiy, Jun 10 2025
| 2025-07-03T08:40:19 |
oeisdata/seq/A384/A384815.seq
|
ea1f1bb391794427e8216d85aa2b1b7f
|
A384816
|
Sum of the cubes of the indices of distinct prime factors of n.
|
[
"0",
"1",
"8",
"1",
"27",
"9",
"64",
"1",
"8",
"28",
"125",
"9",
"216",
"65",
"35",
"1",
"343",
"9",
"512",
"28",
"72",
"126",
"729",
"9",
"27",
"217",
"8",
"65",
"1000",
"36",
"1331",
"1",
"133",
"344",
"91",
"9",
"1728",
"513",
"224",
"28",
"2197",
"73",
"2744",
"126",
"35",
"730",
"3375",
"9",
"64",
"28",
"351",
"217",
"4096",
"9",
"152",
"65",
"520",
"1001",
"4913",
"36",
"5832",
"1332",
"72",
"1",
"243",
"134",
"6859",
"344",
"737",
"92"
] |
[
"nonn"
] | 7 | 1 | 3 |
[
"A000720",
"A005064",
"A066328",
"A332385",
"A384816"
] | null |
Ilya Gutkovskiy, Jun 10 2025
| 2025-06-16T19:14:43 |
oeisdata/seq/A384/A384816.seq
|
afd4aa37e50ae831df088c3edce6ead4
|
A384817
|
Numerator of the sum of the reciprocals of all square divisors of all positive integers <= n.
|
[
"1",
"2",
"3",
"17",
"21",
"25",
"29",
"17",
"173",
"191",
"209",
"463",
"499",
"535",
"571",
"2473",
"2617",
"2777",
"2921",
"3101",
"3245",
"3389",
"3533",
"3713",
"96569",
"100169",
"34723",
"36223",
"37423",
"38623",
"39823",
"20699",
"21299",
"21899",
"22499",
"69997",
"71797",
"73597",
"75397",
"77647",
"79447",
"81247",
"83047",
"85297"
] |
[
"nonn",
"frac"
] | 7 | 1 | 2 |
[
"A007406",
"A017667",
"A284648",
"A309125",
"A373439",
"A384817",
"A384818"
] | null |
Ilya Gutkovskiy, Jun 10 2025
| 2025-06-16T18:52:58 |
oeisdata/seq/A384/A384817.seq
|
0f9e7946d5ab1726b348afb27a0cd47d
|
A384818
|
Denominator of the sum of the reciprocals of all square divisors of all positive integers <= n.
|
[
"1",
"1",
"1",
"4",
"4",
"4",
"4",
"2",
"18",
"18",
"18",
"36",
"36",
"36",
"36",
"144",
"144",
"144",
"144",
"144",
"144",
"144",
"144",
"144",
"3600",
"3600",
"1200",
"1200",
"1200",
"1200",
"1200",
"600",
"600",
"600",
"600",
"1800",
"1800",
"1800",
"1800",
"1800",
"1800",
"1800",
"1800",
"1800",
"600",
"600",
"600",
"1200",
"58800",
"58800",
"58800",
"58800",
"58800"
] |
[
"nonn",
"frac"
] | 7 | 1 | 4 |
[
"A007407",
"A017668",
"A284650",
"A309125",
"A373440",
"A384817",
"A384818"
] | null |
Ilya Gutkovskiy, Jun 10 2025
| 2025-06-16T18:53:04 |
oeisdata/seq/A384/A384818.seq
|
5e63231a7a6b7283f836831ac011898c
|
A384819
|
Nonnegative numbers a(n) < n for n >= 1 such that exp( Sum_{n>=1} (n^2 - a(n))*x^n/n ) is a power series with integral coefficients.
|
[
"0",
"1",
"2",
"1",
"4",
"3",
"6",
"1",
"2",
"7",
"10",
"3",
"12",
"11",
"3",
"1",
"16",
"3",
"18",
"15",
"14",
"19",
"22",
"3",
"4",
"23",
"2",
"27",
"28",
"12",
"30",
"1",
"15",
"31",
"7",
"3",
"36",
"35",
"32",
"7",
"40",
"37",
"42",
"7",
"21",
"43",
"46",
"3",
"6",
"7",
"27",
"11",
"52",
"3",
"34",
"35",
"50",
"55",
"58",
"44",
"60",
"59",
"5",
"1",
"18",
"0",
"66",
"19",
"39",
"40",
"70",
"3",
"72",
"71",
"3",
"23",
"1",
"19",
"78",
"55",
"2",
"79",
"82",
"41",
"47",
"83",
"51",
"47",
"88",
"84",
"74",
"31",
"86",
"91",
"17",
"3",
"96",
"11",
"42",
"15",
"100"
] |
[
"nonn"
] | 14 | 1 | 3 |
[
"A082579",
"A384819",
"A384820"
] | null |
Paul D. Hanna, Jun 18 2025
| 2025-06-22T00:51:48 |
oeisdata/seq/A384/A384819.seq
|
2c14fb435eec46c32486406e56474d85
|
A384820
|
G.f. A(x) = exp( Sum_{n>=1} (n^2 - A384819(n))*x^n/n ) where A384819(k) < k for k >= 1 such that A(x) is a power series with integral coefficients.
|
[
"1",
"1",
"2",
"4",
"8",
"14",
"25",
"43",
"74",
"124",
"205",
"335",
"543",
"869",
"1379",
"2170",
"3388",
"5249",
"8079",
"12353",
"18776",
"28375",
"42651",
"63782",
"94923",
"140614",
"207384",
"304578",
"445528",
"649200",
"942495",
"1363447",
"1965697",
"2824676",
"4046190",
"5778273",
"8227533",
"11681632",
"16540183",
"23357053",
"32898242"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A082579",
"A384819",
"A384820"
] | null |
Paul D. Hanna, Jun 18 2025
| 2025-06-22T00:51:52 |
oeisdata/seq/A384/A384820.seq
|
2dcb1c66909b9fdbb21bc1a9a5ddb85b
|
A384821
|
G.f. A(x) satisfies -1/x = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+2).
|
[
"1",
"2",
"5",
"22",
"91",
"416",
"1978",
"9738",
"49181",
"253572",
"1328528",
"7053672",
"37866294",
"205188765",
"1120824743",
"6165155890",
"34119043994",
"189839648588",
"1061344406923",
"5959197795092",
"33588952625106",
"189986944364176",
"1078034452020854",
"6134848540680166",
"35005230073846833",
"200229444332667654"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T02:59:32 |
oeisdata/seq/A384/A384821.seq
|
71053ed895e9b08ca938417a0820e3fa
|
A384822
|
G.f. A(x) satisfies 1/x^5 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+4).
|
[
"1",
"1",
"5",
"19",
"109",
"598",
"3592",
"22110",
"140467",
"911136",
"6014277",
"40260501",
"272682397",
"1865181921",
"12866239311",
"89403333632",
"625211046931",
"4396844409898",
"31075863324446",
"220618909826500",
"1572549447431889",
"11249693613964519",
"80743512234554655",
"581272589032594530",
"4196118995069449989"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:05:09 |
oeisdata/seq/A384/A384822.seq
|
269ecd0bb717a555fa9b203fc868e7b2
|
A384823
|
G.f. A(x) satisfies -1/x^11 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+6).
|
[
"1",
"1",
"4",
"28",
"173",
"1262",
"9593",
"75928",
"618342",
"5149640",
"43650123",
"375347585",
"3266282211",
"28709930633",
"254526671024",
"2273271614848",
"20435110855838",
"184745786960642",
"1678668998195885",
"15321962225034079",
"140418372363945954",
"1291587696225346583",
"11919771215919819476",
"110338977972166474055"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:07:29 |
oeisdata/seq/A384/A384823.seq
|
7066ec73d72a7edd45cd666bb2ea60eb
|
A384824
|
G.f. A(x) satisfies 1/x^19 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+8).
|
[
"1",
"1",
"5",
"38",
"319",
"2871",
"27507",
"273925",
"2808973",
"29457644",
"314470771",
"3405995019",
"37334767867",
"413397265017",
"4617060957512",
"51951448775027",
"588371324004508",
"6701761863368579",
"76723673176823126",
"882342098781937683",
"10188542630975395255",
"118082022786322630334",
"1373108879790849494070"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:10:05 |
oeisdata/seq/A384/A384824.seq
|
24c4ed34764a9193fa76dcf3c8b3b4f8
|
A384825
|
G.f. A(x) satisfies -1/x^29 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+10).
|
[
"1",
"1",
"6",
"54",
"542",
"5955",
"69114",
"835140",
"10391843",
"132262619",
"1713785727",
"22531557603",
"299817809184",
"4030217936308",
"54646151953660",
"746513545616000",
"10264746883787021",
"141955200254335604",
"1973170863256461516",
"27551902179444882489",
"386288077655575999571",
"5435910477286670671340"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:12:35 |
oeisdata/seq/A384/A384825.seq
|
3874440a9a68b33d7655567c351314e1
|
A384826
|
G.f. A(x) satisfies 1/x^41 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+12).
|
[
"1",
"1",
"7",
"73",
"861",
"11112",
"151828",
"2159179",
"31627690",
"473917665",
"7230164079",
"111926802631",
"1753762735460",
"27760507986844",
"443257137593369",
"7130838718144623",
"115469073853104486",
"1880570694656739472",
"30784302913287253256",
"506228988080918570208",
"8358750672258509735440",
"138528877561300962357350"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:14:48 |
oeisdata/seq/A384/A384826.seq
|
dd2afdd84b3ff00590700d68cbd15a7e
|
A384827
|
G.f. A(x) satisfies -1/x^55 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+14).
|
[
"1",
"1",
"8",
"95",
"1288",
"19116",
"300511",
"4918268",
"82918049",
"1430142380",
"25115651237",
"447578072658",
"8073426806649",
"147122009148252",
"2704441907759235",
"50088849266618466",
"933792151007378231",
"17509062834076661230",
"329985690688947517626",
"6247533413700369107192",
"118768564127167799819733"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:16:50 |
oeisdata/seq/A384/A384827.seq
|
3730b6d3e3fa474cd54b77cd19699ba8
|
A384828
|
G.f. A(x) satisfies 1/x^71 = Sum_{n=-oo..+oo} A(x)^n * x^n * (1 - x^n)^(n+16).
|
[
"1",
"1",
"9",
"120",
"1839",
"30862",
"548783",
"10160786",
"193811734",
"3782270289",
"75158649892",
"1515578476370",
"30935212293083",
"637920390487505",
"13269865608471203",
"278121828806207328",
"5867506406619195047",
"124502776024601555996",
"2655381364988431518262",
"56892952987400631546208",
"1223972213493916563960331"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A366731",
"A384821",
"A384822",
"A384823",
"A384824",
"A384825",
"A384826",
"A384827",
"A384828"
] | null |
Paul D. Hanna, Jun 10 2025
| 2025-06-11T03:18:38 |
oeisdata/seq/A384/A384828.seq
|
90943fa89c24c7830eddf1e34334cc65
|
A384829
|
G.f. satisfies A(x) = Sum_{n>=0} x^(n*(n+1)/2) * A(x)^(n*(n+1)).
|
[
"1",
"1",
"2",
"6",
"22",
"87",
"359",
"1535",
"6758",
"30431",
"139442",
"648001",
"3046730",
"14467286",
"69281190",
"334211603",
"1622568398",
"7921905397",
"38871120255",
"191586353683",
"948083155952",
"4708743978840",
"23463673225988",
"117271827518778",
"587744334759630",
"2953138645722287",
"14872864243128300",
"75066312240321173"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A106336",
"A109085",
"A384829"
] | null |
Paul D. Hanna, Jun 13 2025
| 2025-06-13T07:01:45 |
oeisdata/seq/A384/A384829.seq
|
c84eb71ea06e18130c2df2e4131c319f
|
A384830
|
G.f. satisfies A(x) = A(x^3 - 3*x*A(x)^3) / A(x^2 - 2*x*A(x)^2).
|
[
"1",
"-1",
"4",
"-21",
"110",
"-616",
"3738",
"-23619",
"152470",
"-1003776",
"6726702",
"-45720504",
"314307018",
"-2181641134",
"15269811260",
"-107651952999",
"763745165826",
"-5448656285938",
"39063995033178",
"-281309141648214",
"2033846965665156",
"-14757571862304042",
"107431429198117338",
"-784411267743868602",
"5743068864740600214"
] |
[
"sign",
"new"
] | 10 | 1 | 3 |
[
"A038464",
"A376226",
"A384270",
"A384830"
] | null |
Paul D. Hanna, Jul 11 2025
| 2025-07-16T03:42:21 |
oeisdata/seq/A384/A384830.seq
|
3487eaaa25637c7b382ee544ebd22b48
|
A384831
|
G.f. A(x) satisfies x + x^2 = A(A(x)) - A(A(A(x)))^2.
|
[
"1",
"1",
"2",
"11",
"64",
"446",
"3420",
"28428",
"252072",
"2360784",
"23187228",
"237586156",
"2529557212",
"27898101068",
"317939375512",
"3736715692256",
"45216913769794",
"562576653920012",
"7188297232200600",
"94231521967695334",
"1266217030228294392",
"17426887813843435996",
"245483608643275477496",
"3536990534237805030068"
] |
[
"nonn"
] | 7 | 1 | 3 | null | null |
Paul D. Hanna, Jun 29 2025
| 2025-06-30T10:17:31 |
oeisdata/seq/A384/A384831.seq
|
e33faf14ea5c208b0f67e6c1bc757faa
|
A384832
|
G.f. A(x) = Sum_{n>=0} x^n * Product_{k=0..n} ((1+x)^(n-k+1) - x^k).
|
[
"1",
"2",
"4",
"13",
"41",
"144",
"533",
"2072",
"8463",
"36142",
"160852",
"744491",
"3576342",
"17796825",
"91587499",
"486686277",
"2666612930",
"15045088274",
"87301643726",
"520416443472",
"3183640482658",
"19967208261651",
"128273336978302",
"843360769602607",
"5670286993205471",
"38957428760628861",
"273318099568893757",
"1956848333035887861"
] |
[
"nonn"
] | 9 | 1 | 2 |
[
"A121690",
"A384832"
] | null |
Paul D. Hanna, Jun 29 2025
| 2025-06-30T10:17:28 |
oeisdata/seq/A384/A384832.seq
|
0401c867aa939c59789f77dcdd6823c1
|
A384833
|
G.f. satisfies A(x) = x + A(x^2)*A(x^3) with A(0) = 1.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"3",
"4",
"4",
"3",
"7",
"4",
"6",
"6",
"7",
"5",
"12",
"6",
"9",
"11",
"11",
"8",
"18",
"10",
"14",
"16",
"16",
"13",
"29",
"14",
"22",
"25",
"26",
"18",
"40",
"22",
"32",
"35",
"35",
"29",
"60",
"31",
"44",
"52",
"51",
"38",
"84",
"44",
"66",
"71",
"71",
"55",
"118",
"59",
"88",
"101",
"98",
"75",
"158",
"84",
"121",
"132",
"131",
"102",
"222",
"109",
"163",
"183",
"183",
"132",
"288",
"149",
"220"
] |
[
"nonn"
] | 13 | 0 | 7 |
[
"A382126",
"A384833"
] | null |
Paul D. Hanna, Jun 29 2025
| 2025-06-30T10:03:58 |
oeisdata/seq/A384/A384833.seq
|
c1e181cdf3f2e5d4dfa896946d063026
|
A384835
|
The exponents (j, k) of the numbers 2^j*3^k that are averages of twin primes, with both j and k > 0, in the order of their sum, and then by j.
|
[
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"3",
"3",
"2",
"4",
"3",
"6",
"1",
"5",
"4",
"7",
"2",
"3",
"10",
"6",
"7",
"2",
"15",
"12",
"5",
"18",
"1",
"18",
"5",
"21",
"4",
"24",
"5",
"27",
"4",
"11",
"24",
"30",
"7",
"32",
"9",
"33",
"8",
"31",
"12",
"36",
"7",
"43",
"2",
"32",
"15",
"43",
"8",
"50",
"9",
"63",
"2",
"66",
"25",
"79",
"20",
"99",
"10",
"57",
"64",
"82",
"63",
"63",
"88",
"56",
"99",
"148",
"27"
] |
[
"nonn",
"tabf"
] | 41 | 1 | 4 |
[
"A027856",
"A384639",
"A384835"
] | null |
Ken Clements, Jun 10 2025
| 2025-07-05T00:23:34 |
oeisdata/seq/A384/A384835.seq
|
e97545876da266f73cf79e4ae8ab038f
|
A384836
|
a(n) = Sum_{k=0..floor(n/4)} |Stirling1(n,4*k)|.
|
[
"1",
"0",
"0",
"0",
"1",
"10",
"85",
"735",
"6770",
"67320",
"724550",
"8427650",
"105615500",
"1420941600",
"20448793300",
"313670857500",
"5111631733000",
"88224807112000",
"1608190674259000",
"30879323250633000",
"623074177992110000",
"13182400475167560000",
"291842125111122170000",
"6748135840840046510000"
] |
[
"nonn"
] | 10 | 0 | 6 |
[
"A000110",
"A000142",
"A001710",
"A024430",
"A143815",
"A357828",
"A365525",
"A365528",
"A384836",
"A384837"
] | null |
Vaclav Kotesovec, Jun 10 2025
| 2025-06-10T14:51:32 |
oeisdata/seq/A384/A384836.seq
|
4273f32d331bc60ab3dd520b7199e5ca
|
A384837
|
a(n) = Sum_{k=0..floor(n/5)} |Stirling1(n,5*k)|.
|
[
"1",
"0",
"0",
"0",
"0",
"1",
"15",
"175",
"1960",
"22449",
"269326",
"3416985",
"45997655",
"657262606",
"9959178229",
"159758917956",
"2707741441460",
"48389066401764",
"909877831207125",
"17965423056654249",
"371766710374672096",
"8047954162682335066",
"181941000229690525197",
"4288430328840863166236",
"105226297616943093770399"
] |
[
"nonn"
] | 9 | 0 | 7 |
[
"A000110",
"A000142",
"A001710",
"A024430",
"A143815",
"A357828",
"A365525",
"A365528",
"A384836",
"A384837"
] | null |
Vaclav Kotesovec, Jun 10 2025
| 2025-06-10T14:51:17 |
oeisdata/seq/A384/A384837.seq
|
9ac18d8c52fc083948b1bd49f4e1cb83
|
A384838
|
Numbers k for which sigma(k - x) + sigma(k + x) = 5*k has at least one nonnegative solution.
|
[
"24",
"53",
"56",
"63",
"66",
"74",
"75",
"79",
"82",
"84",
"95",
"112",
"168",
"192",
"216",
"227",
"245",
"252",
"255",
"274",
"280",
"282",
"288",
"308",
"312",
"347",
"348",
"351",
"360",
"365",
"392",
"395",
"408",
"420",
"431",
"432",
"434",
"458",
"465",
"466",
"471",
"476",
"496",
"528",
"532",
"560",
"576",
"579",
"588",
"624",
"628",
"644",
"670",
"694",
"716",
"720",
"784"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A000203",
"A141643",
"A383268",
"A383758",
"A384838",
"A384839",
"A384840",
"A384841"
] | null |
Michel Marcus, Jun 10 2025
| 2025-06-12T09:08:57 |
oeisdata/seq/A384/A384838.seq
|
0925d1bff6a8184b8e2da9587b61e3eb
|
A384839
|
Numbers k for which sigma(k - x) + sigma(k + x) = 6*k has at least one nonnegative solution.
|
[
"93",
"120",
"204",
"211",
"231",
"239",
"254",
"269",
"274",
"280",
"315",
"336",
"343",
"360",
"366",
"372",
"375",
"378",
"395",
"396",
"402",
"420",
"466",
"475",
"496",
"592",
"604",
"672",
"708",
"724",
"726",
"774",
"821",
"822",
"827",
"836",
"840",
"844",
"845",
"862",
"870",
"880",
"898",
"919",
"926",
"952",
"964",
"976",
"982",
"996",
"997",
"1023",
"1077",
"1080"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A000203",
"A005820",
"A383268",
"A383758",
"A384838",
"A384839",
"A384840",
"A384841"
] | null |
Michel Marcus, Jun 10 2025
| 2025-06-20T18:56:25 |
oeisdata/seq/A384/A384839.seq
|
298645a52b5a509375eb82e0272d5786
|
A384840
|
Numbers k for which sigma(k - x) + sigma(k + x) = 7*k has at least one nonnegative solution.
|
[
"1952",
"1992",
"2016",
"2160",
"2520",
"2640",
"3314",
"3744",
"3801",
"4320",
"4484",
"4500",
"4566",
"4620",
"4680",
"4994",
"5016",
"5948",
"6072",
"6096",
"6194",
"6384",
"6492",
"6552",
"6654",
"6870",
"7056",
"7200",
"7224",
"7382",
"7435",
"7440",
"7470",
"7794",
"7812",
"7920",
"7956",
"8376",
"8480",
"8604",
"8616",
"8702",
"8892",
"9284",
"9360",
"9408"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A000203",
"A055153",
"A383268",
"A383758",
"A384838",
"A384839",
"A384840",
"A384841"
] | null |
Michel Marcus, Jun 10 2025
| 2025-06-12T14:25:05 |
oeisdata/seq/A384/A384840.seq
|
99c891bbe72a84728508613bc7aae325
|
A384841
|
Numbers k for which sigma(k - x) + sigma(k + x) = 8*k has at least one nonnegative solution.
|
[
"14412",
"17640",
"25581",
"25623",
"25659",
"26208",
"30240",
"31110",
"31380",
"31500",
"32340",
"32736",
"32760",
"34958",
"35112",
"44211",
"44343",
"45048",
"45324",
"45444",
"46578",
"48090",
"49368",
"51674",
"52045",
"52290",
"53103",
"53127",
"53460",
"54000",
"54180",
"59400",
"59940",
"60228",
"60903",
"60914",
"60987",
"61920",
"62340",
"62370"
] |
[
"nonn"
] | 14 | 1 | 1 |
[
"A000203",
"A027687",
"A383268",
"A383758",
"A384838",
"A384839",
"A384840",
"A384841"
] | null |
Michel Marcus, Jun 10 2025
| 2025-06-16T15:27:36 |
oeisdata/seq/A384/A384841.seq
|
fd15f256817beaaf1c42a56440ef7ede
|
A384842
|
a(n) is the n-th number which can be represented as the sum of n distinct n-almost primes in exactly n ways, or -1 if fewer than n such numbers exist.
|
[
"2",
"24",
"75",
"211",
"522",
"1332",
"3588",
"8900",
"20552",
"48304",
"118768",
"256864",
"558272",
"1564608",
"2863360"
] |
[
"nonn",
"more"
] | 9 | 1 | 1 |
[
"A091538",
"A365494",
"A384842"
] | null |
Robert Israel, Jun 10 2025
| 2025-06-11T01:01:43 |
oeisdata/seq/A384/A384842.seq
|
c7685d87c9c2b3c22f86364f8bf2abfe
|
A384843
|
Wiener index of the n-Dorogovtsev-Goltsev-Mendes graph.
|
[
"1",
"3",
"21",
"204",
"2130",
"22245",
"229119",
"2325966",
"23319708",
"231384327",
"2276119977",
"22228324368",
"215745006246",
"2082918495849",
"20017195390995",
"191593142789010",
"1827283815276144",
"17372064324294411",
"164687169445632573",
"1557231841690641492",
"14690512431146615802"
] |
[
"nonn"
] | 19 | 0 | 2 |
[
"A384843",
"A384844"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-18T16:52:35 |
oeisdata/seq/A384/A384843.seq
|
508ee165a86c1398e852855642d7e9ff
|
A384844
|
Triangle read by rows: T(n,k) is the number of unordered pairs of nodes at distance k in the n-Dorogovtsev-Goltsev-Mendes graph.
|
[
"3",
"9",
"6",
"27",
"57",
"21",
"81",
"351",
"369",
"60",
"243",
"1806",
"3582",
"1716",
"156",
"729",
"8472",
"26346",
"24216",
"6648",
"384",
"2187",
"37683",
"165375",
"241032",
"128880",
"22896",
"912",
"6561",
"162177",
"938907",
"1946676",
"1670280",
"584784",
"72624",
"2112",
"19683",
"683112",
"4979928",
"13697148",
"16889340",
"9580368",
"2366256",
"216768",
"4800"
] |
[
"nonn",
"tabl"
] | 12 | 1 | 1 |
[
"A000244",
"A113070",
"A384843",
"A384844"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-14T03:40:18 |
oeisdata/seq/A384/A384844.seq
|
878befb84e280ffa0f2176bbfd39bc40
|
A384845
|
Array read by antidiagonals: T(n,m) is the number of spanning trees in the n X m rook graph K_n X K_m.
|
[
"1",
"1",
"1",
"3",
"4",
"3",
"16",
"75",
"75",
"16",
"125",
"3456",
"11664",
"3456",
"125",
"1296",
"300125",
"5647152",
"5647152",
"300125",
"1296",
"16807",
"42467328",
"6291456000",
"34359738368",
"6291456000",
"42467328",
"16807",
"262144",
"8931928887",
"13556617751088",
"564859072962000",
"564859072962000",
"13556617751088",
"8931928887",
"262144"
] |
[
"nonn",
"tabl"
] | 6 | 1 | 4 |
[
"A000272",
"A006236",
"A193137",
"A384845"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-10T16:26:11 |
oeisdata/seq/A384/A384845.seq
|
fddd3b57c112fa5ecf3f164cb1180bfc
|
A384846
|
Number of spanning trees in the n-triangular honeycomb bishop graph.
|
[
"1",
"1",
"30",
"25168",
"664401820",
"634543847913456",
"25062233595938217514752",
"46288337050885561953513132275712",
"4471323660789245565301209855109407779782656",
"25018309187086133240059638160242724409548249615719137280",
"8903346030392451220795207850196917536479365714361743085011780990140416"
] |
[
"nonn"
] | 5 | 1 | 3 |
[
"A384845",
"A384846",
"A384847"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-10T16:57:46 |
oeisdata/seq/A384/A384846.seq
|
52c0d3555f87313f579b5d596676a85b
|
A384847
|
Number of spanning trees in the n X n black bishop graph.
|
[
"1",
"1",
"9",
"960",
"11154000",
"719213811120",
"13979695039203246080",
"1189479898434851932473556992",
"59490642495288058341403673304760320000",
"11645428233837424031731122865772802780489910560000",
"2207327946153908676600111470799606037757241457466405065001533440"
] |
[
"nonn"
] | 6 | 1 | 3 |
[
"A384846",
"A384847",
"A384848"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-10T16:57:40 |
oeisdata/seq/A384/A384847.seq
|
037db8d7d43fb9c58fa79cc1e5ee3bde
|
A384848
|
Number of spanning trees in the n X n white bishop graph.
|
[
"1",
"4",
"960",
"1843200",
"719213811120",
"1391765093351424000",
"1189479898434851932473556992",
"4228796210572964243075940986388480000",
"11645428233837424031731122865772802780489910560000",
"121990507997921730280241882782262561248455235330514092032000000"
] |
[
"nonn"
] | 6 | 2 | 2 |
[
"A384846",
"A384847",
"A384848"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-10T16:57:29 |
oeisdata/seq/A384/A384848.seq
|
fff6e8c500325782e74cf63a640ec470
|
A384849
|
Triangle read by rows: T(n,k) is the number of simple graphs on n unlabeled nodes with degeneracy k, 0 <= k < n.
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"5",
"4",
"1",
"1",
"9",
"18",
"5",
"1",
"1",
"19",
"85",
"43",
"7",
"1",
"1",
"36",
"471",
"442",
"85",
"8",
"1",
"1",
"75",
"3378",
"6979",
"1758",
"144",
"10",
"1",
"1",
"152",
"31782",
"166258",
"70811",
"5421",
"231",
"11",
"1",
"1",
"328",
"385205",
"5892753",
"5164116",
"547170",
"15239",
"342",
"13",
"1"
] |
[
"nonn",
"tabl"
] | 7 | 1 | 5 |
[
"A000088",
"A005195",
"A352067",
"A384849"
] | null |
Andrew Howroyd, Jun 10 2025
| 2025-06-11T17:51:54 |
oeisdata/seq/A384/A384849.seq
|
7df85eef06b20b339ebdb00a8defaaee
|
A384850
|
Triangle read by rows: T(n,k) is the number of unsensed simple planar maps with n edges and k vertices, 1 <= k <= n+1.
|
[
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"0",
"0",
"2",
"3",
"0",
"0",
"0",
"1",
"7",
"6",
"0",
"0",
"0",
"1",
"7",
"22",
"12",
"0",
"0",
"0",
"0",
"5",
"42",
"76",
"27",
"0",
"0",
"0",
"0",
"2",
"49",
"237",
"271",
"65",
"0",
"0",
"0",
"0",
"1",
"35",
"442",
"1293",
"1001",
"175",
"0",
"0",
"0",
"0",
"0",
"18",
"510",
"3539",
"6757",
"3765",
"490"
] |
[
"nonn",
"tabl"
] | 11 | 0 | 10 |
[
"A006082",
"A006395",
"A054923",
"A212438",
"A277741",
"A342060",
"A372892",
"A384850",
"A384963",
"A384967"
] | null |
Andrew Howroyd, Jun 13 2025
| 2025-06-15T14:39:26 |
oeisdata/seq/A384/A384850.seq
|
1c0b81dc5bba04aec4a539febe10b634
|
A384851
|
Decimal expansion of minimal radius of a circle that contains 14 non-overlapping unit disks.
|
[
"4",
"3",
"2",
"8",
"4",
"2",
"8",
"5",
"5",
"4",
"8",
"6",
"0",
"8",
"3",
"6",
"6",
"8",
"1",
"4",
"0",
"3",
"9",
"0",
"9",
"3",
"6",
"7",
"4",
"7",
"8",
"1",
"8",
"1",
"0",
"9",
"1",
"6",
"0",
"8",
"4",
"9",
"5",
"7",
"2",
"9",
"6",
"5",
"8",
"6",
"7",
"5",
"7",
"0",
"1",
"2",
"4",
"5",
"7",
"5",
"4",
"8",
"5",
"5",
"2",
"2",
"1",
"1",
"3",
"3",
"7",
"0",
"4",
"5",
"4",
"0",
"2",
"1",
"3",
"8",
"6",
"3",
"1",
"9",
"7",
"5",
"7"
] |
[
"nonn",
"cons"
] | 11 | 1 | 1 |
[
"A084618",
"A121570",
"A121598",
"A121601",
"A121602",
"A281115",
"A282279",
"A384851"
] | null |
Jinyuan Wang, Jun 10 2025
| 2025-06-16T22:08:25 |
oeisdata/seq/A384/A384851.seq
|
1489faac2fb55067756417b3f7a72c61
|
A384852
|
a(n) = 2*binomial(n,2) + 3*binomial(n,3) + 4*binomial(n,4).
|
[
"0",
"0",
"2",
"9",
"28",
"70",
"150",
"287",
"504",
"828",
"1290",
"1925",
"2772",
"3874",
"5278",
"7035",
"9200",
"11832",
"14994",
"18753",
"23180",
"28350",
"34342",
"41239",
"49128",
"58100",
"68250",
"79677",
"92484",
"106778",
"122670",
"140275",
"159712",
"181104",
"204578",
"230265",
"258300",
"288822",
"321974",
"357903",
"396760"
] |
[
"nonn",
"easy"
] | 29 | 0 | 3 |
[
"A004006",
"A384852"
] | null |
Enrique Navarrete, Jun 19 2025
| 2025-06-24T16:16:25 |
oeisdata/seq/A384/A384852.seq
|
20b1e1d834bde4dcba1dc585ac8ac9c9
|
A384853
|
Squared length of interior diagonal of n-th (U, V)-crossbox, where U = (1, 0, 1) and V = (0, 1, 0), as in Comments.
|
[
"1",
"5",
"9",
"21",
"57",
"165",
"489",
"1461",
"4377",
"13125",
"39369",
"118101",
"354297",
"1062885",
"3188649",
"9565941",
"28697817",
"86093445",
"258280329",
"774840981",
"2324522937",
"6973568805",
"20920706409",
"62762119221",
"188286357657",
"564859072965",
"1694577218889",
"5083731656661"
] |
[
"nonn",
"new"
] | 8 | 1 | 2 |
[
"A000079",
"A008776",
"A052548",
"A384853"
] | null |
Clark Kimberling, Jul 02 2025
| 2025-07-06T23:28:45 |
oeisdata/seq/A384/A384853.seq
|
2aa72698459ad888e9b12be562ce33ca
|
A384854
|
The number of divisors d of n such that (-d)^d = d (mod n).
|
[
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"5",
"1",
"1",
"1",
"2",
"2",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"3",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A000005",
"A032741",
"A065295",
"A384237",
"A384781",
"A384854"
] | null |
Juri-Stepan Gerasimov, Jun 10 2025
| 2025-06-17T16:44:22 |
oeisdata/seq/A384/A384854.seq
|
bd4647a4b86ff543d47fddbc94f26531
|
A384855
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x))^3 ).
|
[
"1",
"1",
"7",
"10",
"-503",
"-8564",
"-103751",
"3479554",
"327940225",
"8613464536",
"-36391967279",
"-24834942253274",
"-2356662167845487",
"-88482481533921500",
"1825569695231959993",
"704791058412273699106",
"88829364712362626504449",
"5460031123686211024338736",
"23871425875449192877470625"
] |
[
"sign"
] | 11 | 0 | 3 |
[
"A052752",
"A213108",
"A213112",
"A213113",
"A384617",
"A384855",
"A384856",
"A384857",
"A384858",
"A384859"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-11T10:11:40 |
oeisdata/seq/A384/A384855.seq
|
0dc37983c6e7929322ab91b71a4c419f
|
A384856
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^2)^3 ).
|
[
"1",
"1",
"7",
"28",
"-107",
"-11744",
"-519101",
"-12366080",
"-101065751",
"19899785728",
"2369020104991",
"160985802059776",
"8664193820140093",
"137309806362677248",
"-48557247646714851365",
"-9196626471351773732864",
"-1230646715294157585659951",
"-124354471985557029636669440",
"-8657982884640209349171498569"
] |
[
"sign"
] | 11 | 0 | 3 |
[
"A052752",
"A213112",
"A213113",
"A384855",
"A384856",
"A384857",
"A384858",
"A384860"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-11T10:11:34 |
oeisdata/seq/A384/A384856.seq
|
2fbff65dbee2460955b7af74360497ce
|
A384857
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^3)^3 ).
|
[
"1",
"1",
"7",
"46",
"361",
"-6284",
"-632951",
"-31583474",
"-1484748191",
"-51928436312",
"-303653774159",
"219248741052826",
"35743757192135425",
"4097960104621191004",
"408462300514973323753",
"33384541884258873033406",
"1521231207001104466842049",
"-200132739000502301652035888",
"-84772475888572203988197350303"
] |
[
"sign"
] | 13 | 0 | 3 |
[
"A052752",
"A213109",
"A213112",
"A213113",
"A384855",
"A384856",
"A384857",
"A384858",
"A384861"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-11T10:11:25 |
oeisdata/seq/A384/A384857.seq
|
bb107e2ce93035fe954918b6b7141aa6
|
A384858
|
E.g.f. A(x) satisfies A(x) = exp( x/A(-x*A(x)^8)^3 ).
|
[
"1",
"1",
"7",
"136",
"3781",
"163216",
"9103699",
"646696576",
"55084545289",
"5491386074368",
"625131329307391",
"79898089652402176",
"11312691034562944525",
"1755128489880477528064",
"295767148537661982373963",
"53734366029378178883731456",
"10459045695948264117117132049",
"2169330513346145105101803814912"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A052752",
"A213112",
"A213113",
"A384855",
"A384856",
"A384857",
"A384858",
"A384862"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-11T10:11:21 |
oeisdata/seq/A384/A384858.seq
|
254f916cac644cb39aa811b50d9ae297
|
A384859
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384855.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"10",
"0",
"1",
"4",
"27",
"62",
"-503",
"0",
"1",
"5",
"40",
"162",
"-632",
"-8564",
"0",
"1",
"6",
"55",
"316",
"-135",
"-20758",
"-103751",
"0",
"1",
"7",
"72",
"530",
"1264",
"-31572",
"-413900",
"3479554",
"0",
"1",
"8",
"91",
"810",
"3865",
"-34316",
"-919647",
"2636678",
"327940225",
"0",
"1",
"9",
"112",
"1162",
"7992",
"-20500",
"-1552472",
"-5475222",
"679001872",
"8613464536",
"0"
] |
[
"sign",
"tabl"
] | 15 | 0 | 8 |
[
"A000007",
"A384801",
"A384808",
"A384855",
"A384859"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-12T08:28:42 |
oeisdata/seq/A384/A384859.seq
|
7982cc972e849d2f3270c8b10b967c4e
|
A384860
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384856.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"28",
"0",
"1",
"4",
"27",
"98",
"-107",
"0",
"1",
"5",
"40",
"216",
"304",
"-11744",
"0",
"1",
"6",
"55",
"388",
"1485",
"-20638",
"-519101",
"0",
"1",
"7",
"72",
"620",
"3712",
"-20592",
"-1185920",
"-12366080",
"0",
"1",
"8",
"91",
"918",
"7285",
"-3836",
"-1908657",
"-35662030",
"-101065751",
"0"
] |
[
"sign",
"tabl"
] | 17 | 0 | 8 |
[
"A000007",
"A058127",
"A384811",
"A384856",
"A384860"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-12T08:28:57 |
oeisdata/seq/A384/A384860.seq
|
8f1bc71c4161e2cecf201679a911ccfc
|
A384861
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384857.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"46",
"0",
"1",
"4",
"27",
"134",
"361",
"0",
"1",
"5",
"40",
"270",
"1384",
"-6284",
"0",
"1",
"6",
"55",
"460",
"3321",
"-2518",
"-632951",
"0",
"1",
"7",
"72",
"710",
"6448",
"18468",
"-1223180",
"-31583474",
"0",
"1",
"8",
"91",
"1026",
"11065",
"65524",
"-1591407",
"-72713338",
"-1484748191",
"0"
] |
[
"sign",
"tabl"
] | 17 | 0 | 8 |
[
"A000007",
"A384802",
"A384813",
"A384857",
"A384861"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-12T08:29:55 |
oeisdata/seq/A384/A384861.seq
|
407a68f97853e0d702a09778e6babd50
|
A384862
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384858.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"7",
"0",
"1",
"3",
"16",
"136",
"0",
"1",
"4",
"27",
"314",
"3781",
"0",
"1",
"5",
"40",
"540",
"8944",
"163216",
"0",
"1",
"6",
"55",
"820",
"15741",
"383282",
"9103699",
"0",
"1",
"7",
"72",
"1160",
"24448",
"672768",
"21329920",
"646696576",
"0",
"1",
"8",
"91",
"1566",
"35365",
"1045924",
"37392543",
"1504825562",
"55084545289",
"0"
] |
[
"nonn",
"tabl"
] | 14 | 0 | 8 |
[
"A000007",
"A384858",
"A384862"
] | null |
Seiichi Manyama, Jun 10 2025
| 2025-06-12T08:29:34 |
oeisdata/seq/A384/A384862.seq
|
92ef6c76c56406b5a8e889035711aff7
|
A384863
|
Consecutive states of the linear congruential pseudo-random number generator G05CAF when started at s=1.
|
[
"1",
"302875106592253",
"458357793578900489",
"130117127544889829",
"214028503895537745",
"129723886062288141",
"506561892515206873",
"27366493393768821",
"104092279467936161",
"249472354291378461",
"22695394996597417",
"331563264261234181",
"550296776567063537",
"359770781871757869"
] |
[
"nonn",
"easy"
] | 13 | 1 | 2 |
[
"A384217",
"A384387",
"A384863"
] | null |
Sean A. Irvine, Jun 10 2025
| 2025-06-12T21:55:58 |
oeisdata/seq/A384/A384863.seq
|
4657de10f886adc0ae04190e853ef57e
|
A384864
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A213091.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"3",
"3",
"2",
"0",
"1",
"4",
"6",
"6",
"4",
"0",
"1",
"5",
"10",
"13",
"13",
"11",
"0",
"1",
"6",
"15",
"24",
"30",
"34",
"31",
"0",
"1",
"7",
"21",
"40",
"59",
"78",
"96",
"98",
"0",
"1",
"8",
"28",
"62",
"105",
"156",
"220",
"296",
"317",
"0",
"1",
"9",
"36",
"91",
"174",
"286",
"442",
"669",
"952",
"1070",
"0",
"1",
"10",
"45",
"128",
"273",
"492",
"820",
"1336",
"2136",
"3182",
"3685",
"0"
] |
[
"sign",
"tabl"
] | 17 | 0 | 8 |
[
"A000007",
"A213091",
"A384864"
] | null |
Seiichi Manyama, Jun 11 2025
| 2025-06-12T08:29:45 |
oeisdata/seq/A384/A384864.seq
|
c8397453079e547cc7bc7579035b4be8
|
A384865
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A213092.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"3",
"3",
"3",
"0",
"1",
"4",
"6",
"8",
"8",
"0",
"1",
"5",
"10",
"16",
"23",
"31",
"0",
"1",
"6",
"15",
"28",
"48",
"84",
"120",
"0",
"1",
"7",
"21",
"45",
"87",
"171",
"327",
"511",
"0",
"1",
"8",
"28",
"68",
"145",
"308",
"664",
"1372",
"2234",
"0",
"1",
"9",
"36",
"98",
"228",
"516",
"1192",
"2760",
"5980",
"9988",
"0"
] |
[
"tabl",
"sign"
] | 15 | 0 | 8 |
[
"A000007",
"A213092",
"A384865"
] | null |
Seiichi Manyama, Jun 11 2025
| 2025-06-12T08:29:25 |
oeisdata/seq/A384/A384865.seq
|
79367d8c6154d1c704dd10357f91120d
|
A384866
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A213093.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"1",
"0",
"1",
"3",
"3",
"4",
"0",
"1",
"4",
"6",
"10",
"13",
"0",
"1",
"5",
"10",
"19",
"35",
"62",
"0",
"1",
"6",
"15",
"32",
"69",
"158",
"297",
"0",
"1",
"7",
"21",
"50",
"119",
"303",
"760",
"1523",
"0",
"1",
"8",
"28",
"74",
"190",
"516",
"1453",
"3868",
"8091",
"0",
"1",
"9",
"36",
"105",
"288",
"821",
"2462",
"7359",
"20487",
"43243",
"0"
] |
[
"tabl",
"sign"
] | 14 | 0 | 8 |
[
"A000007",
"A213093",
"A384866"
] | null |
Seiichi Manyama, Jun 11 2025
| 2025-06-12T08:29:10 |
oeisdata/seq/A384/A384866.seq
|
301553eb4bfcc2a395b2161bc266ceb6
|
A384867
|
Array A(T,k) read down antidiagonals: Number of typed decorated trees of cardinality T on k vertices with D=2 decorations.
|
[
"2",
"4",
"2",
"14",
"8",
"2",
"52",
"52",
"12",
"2",
"214",
"376",
"114",
"16",
"2",
"916",
"2998",
"1228",
"200",
"20",
"2",
"4116",
"25256",
"14568",
"2864",
"310",
"24",
"2",
"18996",
"222128",
"18",
"3132",
"45140",
"5540",
"444",
"28",
"2"
] |
[
"nonn",
"tabl",
"more"
] | 11 | 1 | 1 |
[
"A038055",
"A136794",
"A242249",
"A384867"
] | null |
R. J. Mathar, Jun 11 2025
| 2025-06-11T09:57:08 |
oeisdata/seq/A384/A384867.seq
|
aa3d7a1f54550c6dd737e58333bf9bb6
|
A384868
|
a(n) = Sum_{i=1...|b|} i*(-1)^b_i where b is the lexicographically n-th binary string.
|
[
"0",
"1",
"-1",
"3",
"-1",
"1",
"-3",
"6",
"0",
"2",
"-4",
"4",
"-2",
"0",
"-6",
"10",
"2",
"4",
"-4",
"6",
"-2",
"0",
"-8",
"8",
"0",
"2",
"-6",
"4",
"-4",
"-2",
"-10",
"15",
"5",
"7",
"-3",
"9",
"-1",
"1",
"-9",
"11",
"1",
"3",
"-7",
"5",
"-5",
"-3",
"-13",
"13",
"3",
"5",
"-5",
"7",
"-3",
"-1",
"-11",
"9",
"-1",
"1",
"-9",
"3",
"-7",
"-5",
"-15",
"21",
"9",
"11",
"-1",
"13",
"1",
"3",
"-9",
"15",
"3",
"5",
"-7",
"7",
"-5",
"-3",
"-15",
"17"
] |
[
"sign",
"tabf",
"look",
"easy"
] | 44 | 0 | 4 |
[
"A000079",
"A000217",
"A000225",
"A007931",
"A100575",
"A231204",
"A365968",
"A377170",
"A384868"
] | null |
Christopher Purcell, Jun 11 2025
| 2025-06-18T21:18:34 |
oeisdata/seq/A384/A384868.seq
|
93d289f2a85adab252a6ecc6befe02ac
|
A384869
|
For n >= 1, a(n) = Sum_{k = 1..n} gcd(n, floor((n/k)*10^x)), where x = A121341(k/gcd(n,k)).
|
[
"1",
"3",
"7",
"8",
"17",
"21",
"31",
"27",
"53",
"33",
"71",
"58",
"85",
"74",
"103",
"75",
"129",
"118",
"145",
"70",
"209",
"141",
"199",
"146",
"197",
"194",
"309",
"191",
"281",
"175",
"301",
"206",
"427",
"271",
"339",
"297",
"397",
"306",
"503",
"157",
"481",
"432",
"505",
"336",
"559",
"395",
"553",
"388",
"607",
"303",
"777",
"454",
"677",
"620",
"605",
"467"
] |
[
"base",
"nonn"
] | 49 | 1 | 2 |
[
"A003592",
"A018804",
"A051626",
"A051628",
"A085837",
"A121341",
"A384869"
] | null |
Ctibor O. Zizka, Jun 11 2025
| 2025-06-26T17:54:15 |
oeisdata/seq/A384/A384869.seq
|
c1468274d09ed29d1286c2313b894b19
|
A384870
|
The largest k such that the set {1^n, 2^n, ..., k^n} has uniquely distinct subset sums.
|
[
"1",
"2",
"4",
"5",
"8",
"11",
"15",
"19",
"21",
"28",
"30",
"37",
"42",
"45",
"45"
] |
[
"nonn",
"hard",
"more"
] | 43 | 0 | 2 |
[
"A000124",
"A208531",
"A332101",
"A384870"
] | null |
Yuto Tsujino, Jun 11 2025
| 2025-06-22T23:42:55 |
oeisdata/seq/A384/A384870.seq
|
e2b467851e9332f3e52b662a79c74fcd
|
A384871
|
Decimal expansion of the volume of a pentagonal orthocupolarotunda with unit edge.
|
[
"9",
"2",
"4",
"1",
"8",
"0",
"8",
"2",
"8",
"6",
"4",
"5",
"7",
"8",
"9",
"5",
"2",
"0",
"0",
"8",
"5",
"2",
"4",
"4",
"5",
"1",
"4",
"3",
"1",
"9",
"0",
"1",
"5",
"8",
"8",
"2",
"3",
"8",
"3",
"4",
"6",
"2",
"1",
"5",
"8",
"2",
"5",
"2",
"4",
"0",
"1",
"1",
"9",
"2",
"5",
"5",
"6",
"4",
"3",
"6",
"9",
"2",
"6",
"1",
"2",
"7",
"1",
"9",
"1",
"8",
"5",
"9",
"5",
"0",
"7",
"8",
"7",
"6",
"0",
"2",
"0",
"7",
"1",
"1",
"3",
"3",
"6",
"3",
"3",
"5"
] |
[
"nonn",
"cons",
"easy"
] | 10 | 1 | 1 |
[
"A002163",
"A384144",
"A384283",
"A384285",
"A384624",
"A384871",
"A384872"
] | null |
Paolo Xausa, Jun 11 2025
| 2025-06-12T08:36:58 |
oeisdata/seq/A384/A384871.seq
|
3edf58c0d760ca6ba0c3177fe8f19ab9
|
A384872
|
Decimal expansion of the surface area of a pentagonal orthocupolarotunda with unit edge.
|
[
"2",
"3",
"5",
"3",
"8",
"5",
"3",
"2",
"3",
"3",
"2",
"5",
"0",
"6",
"0",
"5",
"8",
"3",
"1",
"0",
"0",
"4",
"1",
"0",
"0",
"7",
"6",
"2",
"2",
"3",
"6",
"7",
"2",
"8",
"8",
"5",
"7",
"1",
"8",
"8",
"7",
"1",
"3",
"8",
"8",
"9",
"1",
"8",
"6",
"0",
"3",
"1",
"5",
"6",
"5",
"9",
"6",
"5",
"8",
"9",
"3",
"9",
"1",
"2",
"2",
"1",
"1",
"1",
"8",
"3",
"1",
"7",
"5",
"8",
"8",
"7",
"0",
"7",
"6",
"3",
"7",
"5",
"8",
"3",
"8",
"1",
"3",
"8",
"6",
"8"
] |
[
"nonn",
"cons",
"easy"
] | 12 | 2 | 1 |
[
"A002163",
"A002194",
"A384284",
"A384286",
"A384625",
"A384871",
"A384872"
] | null |
Paolo Xausa, Jun 11 2025
| 2025-06-12T12:59:56 |
oeisdata/seq/A384/A384872.seq
|
057a7e13d310a7943c3b2ce0ac406f18
|
A384873
|
a(n) is the smallest n-digit zeroless prime.
|
[
"2",
"11",
"113",
"1117",
"11113",
"111119",
"1111151",
"11111117",
"111111113",
"1111111121",
"11111111113",
"111111111149",
"1111111111139",
"11111111111123",
"111111111111229",
"1111111111111123",
"11111111111111119",
"111111111111111131",
"1111111111111111111",
"11111111111111111131"
] |
[
"nonn",
"base"
] | 30 | 1 | 1 |
[
"A004022",
"A052382",
"A068693",
"A096497",
"A384873"
] | null |
Gonzalo Martínez, Jun 11 2025
| 2025-06-23T22:21:42 |
oeisdata/seq/A384/A384873.seq
|
5f7c418bfb2c5ebb62b4daccadca239e
|
A384874
|
a(n) is the first prime encountered when iterating the map x -> x/2 if x is even, x*lpf(x) + 1 otherwise, where lpf(x) is the least prime factor of x, on n >= 2; or -1 if a prime is never reached.
|
[
"2",
"3",
"2",
"5",
"3",
"7",
"2",
"7",
"5",
"11",
"3",
"13",
"7",
"23",
"2",
"17",
"7",
"19",
"5",
"2",
"11",
"23",
"3",
"313",
"13",
"41",
"7",
"29",
"23",
"31",
"2",
"313",
"17",
"11",
"7",
"37",
"19",
"59",
"5",
"41",
"2",
"43",
"11",
"17",
"23",
"47",
"3",
"43",
"313",
"5869",
"13",
"53",
"41",
"13",
"7",
"43",
"29",
"59",
"23",
"61",
"31",
"313",
"2",
"163",
"313",
"67",
"17",
"13",
"11"
] |
[
"nonn"
] | 12 | 2 | 1 |
[
"A006370",
"A320028",
"A384698",
"A384874"
] | null |
Ya-Ping Lu, Jun 11 2025
| 2025-06-21T22:15:34 |
oeisdata/seq/A384/A384874.seq
|
5c99b313777f579867b98a29815d29d2
|
A384875
|
Irregular triangle T(n,k) = 2^(floor(n/3)-k) * nextprime(2^(n-2*(floor(n/3)-k))), with k = 0..floor(n/3)-1.
|
[
"6",
"10",
"22",
"20",
"34",
"44",
"74",
"68",
"134",
"88",
"148",
"262",
"136",
"268",
"514",
"296",
"524",
"1042",
"272",
"536",
"1028",
"2062",
"592",
"1048",
"2084",
"4106",
"1072",
"2056",
"4124",
"8198",
"1184",
"2096",
"4168",
"8212",
"16418",
"2144",
"4112",
"8248",
"16396",
"32822",
"4192",
"8336",
"16424",
"32836",
"65542",
"4288",
"8224",
"16496",
"32792",
"65644",
"131074"
] |
[
"nonn",
"tabf",
"easy",
"changed"
] | 22 | 3 | 1 |
[
"A006881",
"A010846",
"A100484",
"A384875"
] | null |
Michael De Vlieger, Jun 11 2025
| 2025-07-06T10:01:56 |
oeisdata/seq/A384/A384875.seq
|
ecdbd487d3cb163227cb1dcd27afb0c0
|
A384876
|
Smallest number m such that both m-1 and m+1 are products of at least n (not necessarily distinct) primes.
|
[
"3",
"5",
"17",
"55",
"161",
"1457",
"2431",
"13121",
"101249",
"153089",
"2086399",
"7991297",
"65071999",
"72630271",
"2829746177",
"2975006719",
"68278476799",
"75389157377",
"159703334911",
"1570258288639",
"9714181341185",
"91845775327231",
"551785225781249",
"2123044908695551",
"4560483868737535",
"4560483868737535",
"424428773098651649"
] |
[
"nonn"
] | 37 | 1 | 1 |
[
"A000040",
"A001222",
"A099047",
"A154704",
"A176462",
"A384372",
"A384876"
] | null |
Sinuhe Perea, Jun 12 2025
| 2025-06-14T21:42:54 |
oeisdata/seq/A384/A384876.seq
|
b9b25a157b3bdcd7128fc2e9b68daab1
|
A384877
|
Irregular triangle read by rows where row k lists the lengths of maximal anti-runs (increasing by more than 1) in the binary indices of n.
|
[
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"2",
"3",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"2",
"3",
"1",
"2",
"1",
"1",
"2",
"2",
"3",
"3",
"1",
"3",
"1",
"2",
"2",
"2"
] |
[
"nonn",
"tabf"
] | 9 | 0 | 6 |
[
"A000120",
"A023758",
"A044813",
"A048793",
"A052499",
"A069010",
"A164707",
"A243815",
"A245562",
"A245563",
"A246029",
"A328592",
"A355393",
"A355394",
"A356606",
"A356607",
"A384175",
"A384176",
"A384177",
"A384877",
"A384879",
"A384890",
"A384893"
] | null |
Gus Wiseman, Jun 17 2025
| 2025-06-18T07:35:50 |
oeisdata/seq/A384/A384877.seq
|
78002c18610cf4976b32ff99895d2e68
|
A384878
|
Position of first appearance of n in the flattened version of the triangle A384877, whose m-th row lists the lengths of maximal anti-runs in the binary indices of m.
|
[
"1",
"6",
"34",
"178",
"882",
"4210",
"19570",
"89202",
"400498",
"1776754"
] |
[
"nonn",
"more"
] | 12 | 1 | 2 |
[
"A000120",
"A001792",
"A023758",
"A044813",
"A048793",
"A052499",
"A069010",
"A245562",
"A245563",
"A384175",
"A384176",
"A384877",
"A384878",
"A384879",
"A384890",
"A384893"
] | null |
Gus Wiseman, Jun 23 2025
| 2025-06-25T18:04:30 |
oeisdata/seq/A384/A384878.seq
|
41df23ef9c0bf52ea3b81052cf998432
|
A384879
|
Numbers whose binary indices have all distinct lengths of maximal anti-runs (increasing by more than 1).
|
[
"1",
"2",
"4",
"5",
"8",
"9",
"10",
"11",
"13",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"25",
"26",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"40",
"41",
"42",
"43",
"44",
"49",
"50",
"52",
"53",
"64",
"65",
"66",
"67",
"68",
"69",
"70",
"72",
"73",
"74",
"75",
"76",
"80",
"81",
"82",
"83",
"84",
"85",
"86",
"88",
"97",
"98",
"100",
"101",
"104",
"105",
"106",
"128",
"129",
"130"
] |
[
"nonn"
] | 5 | 1 | 2 |
[
"A000120",
"A023758",
"A044813",
"A048793",
"A069010",
"A098859",
"A164707",
"A242882",
"A243815",
"A245562",
"A245563",
"A246029",
"A325325",
"A328592",
"A336866",
"A356606",
"A356607",
"A384175",
"A384176",
"A384177",
"A384877",
"A384878",
"A384879",
"A384884",
"A384886",
"A384890",
"A384893"
] | null |
Gus Wiseman, Jun 17 2025
| 2025-06-18T07:36:04 |
oeisdata/seq/A384/A384879.seq
|
f8d558854ef275892d955a1054ad4abf
|
A384880
|
Number of strict integer partitions of n with all distinct lengths of maximal anti-runs (decreasing by more than 1).
|
[
"1",
"1",
"1",
"1",
"2",
"2",
"3",
"4",
"6",
"6",
"9",
"10",
"12",
"15",
"18",
"21",
"25",
"30",
"34",
"41",
"46",
"55",
"63",
"75",
"85",
"99",
"114",
"133",
"152",
"178",
"201",
"236",
"269",
"308",
"352",
"404",
"460",
"525",
"594",
"674",
"763",
"865",
"974",
"1098",
"1236",
"1385",
"1558",
"1745",
"1952",
"2181",
"2435",
"2712",
"3026",
"3363",
"3740",
"4151",
"4612"
] |
[
"nonn"
] | 6 | 0 | 5 |
[
"A000009",
"A000041",
"A008289",
"A047993",
"A089259",
"A098859",
"A239455",
"A242882",
"A325324",
"A325325",
"A329739",
"A336866",
"A351293",
"A351294",
"A351295",
"A357982",
"A381432",
"A381433",
"A384175",
"A384176",
"A384177",
"A384178",
"A384880",
"A384884",
"A384885",
"A384886"
] | null |
Gus Wiseman, Jun 13 2025
| 2025-06-14T23:51:34 |
oeisdata/seq/A384/A384880.seq
|
171ee3737bb6c584af1e5ddce80a8d0d
|
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