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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A365401
|
The number of divisors of the largest unitary divisor of n that is a square.
|
[
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"3",
"1",
"1",
"1",
"5",
"1",
"3",
"1",
"3",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"3",
"1",
"1",
"5",
"3",
"3",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"3",
"7",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"1",
"1",
"3",
"3",
"1",
"1",
"1",
"5",
"5",
"1",
"1",
"3",
"1",
"1",
"1"
] |
[
"nonn",
"easy",
"mult"
] | 12 | 1 | 4 |
[
"A000005",
"A000290",
"A212181",
"A268335",
"A350388",
"A351568",
"A365401",
"A365402"
] | null |
Amiram Eldar, Sep 03 2023
| 2023-09-05T04:30:28 |
oeisdata/seq/A365/A365401.seq
|
812d6aac2bb6dafb5259b983ca21853f
|
A365402
|
The number of divisors of the largest unitary divisor of n that is an exponentially odd number.
|
[
"1",
"2",
"2",
"1",
"2",
"4",
"2",
"4",
"1",
"4",
"2",
"2",
"2",
"4",
"4",
"1",
"2",
"2",
"2",
"2",
"4",
"4",
"2",
"8",
"1",
"4",
"4",
"2",
"2",
"8",
"2",
"6",
"4",
"4",
"4",
"1",
"2",
"4",
"4",
"8",
"2",
"8",
"2",
"2",
"2",
"4",
"2",
"2",
"1",
"2",
"4",
"2",
"2",
"8",
"4",
"8",
"4",
"4",
"2",
"4",
"2",
"4",
"2",
"1",
"4",
"8",
"2",
"2",
"4",
"8",
"2",
"4",
"2",
"4",
"2",
"2",
"4",
"8",
"2",
"2",
"1",
"4",
"2",
"4",
"4",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 19 | 1 | 2 |
[
"A000005",
"A000290",
"A004277",
"A268335",
"A350389",
"A351569",
"A365401",
"A365402"
] | null |
Amiram Eldar, Sep 03 2023
| 2023-11-17T21:34:33 |
oeisdata/seq/A365/A365402.seq
|
aed3259e448dbe8dd2d3b2dd4a064f97
|
A365403
|
The sum of the unitary divisors of the largest square dividing n.
|
[
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"5",
"10",
"1",
"1",
"5",
"1",
"1",
"1",
"17",
"1",
"10",
"1",
"5",
"1",
"1",
"1",
"5",
"26",
"1",
"10",
"5",
"1",
"1",
"1",
"17",
"1",
"1",
"1",
"50",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"5",
"10",
"1",
"1",
"17",
"50",
"26",
"1",
"5",
"1",
"10",
"1",
"5",
"1",
"1",
"1",
"5",
"1",
"1",
"10",
"65",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"50",
"1",
"1",
"26",
"5",
"1",
"1",
"1",
"17",
"82"
] |
[
"nonn",
"easy",
"mult"
] | 6 | 1 | 4 |
[
"A000290",
"A005117",
"A008833",
"A013662",
"A034448",
"A078434",
"A323308",
"A365403",
"A365404"
] | null |
Amiram Eldar, Sep 03 2023
| 2023-09-03T10:46:25 |
oeisdata/seq/A365/A365403.seq
|
fd9d8393ba90bd00484a00373050f1ba
|
A365404
|
The sum of the unitary divisors of the square root of the largest square dividing n.
|
[
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"4",
"1",
"1",
"3",
"1",
"1",
"1",
"5",
"1",
"4",
"1",
"3",
"1",
"1",
"1",
"3",
"6",
"1",
"4",
"3",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"12",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"3",
"4",
"1",
"1",
"5",
"8",
"6",
"1",
"3",
"1",
"4",
"1",
"3",
"1",
"1",
"1",
"3",
"1",
"1",
"4",
"9",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"12",
"1",
"1",
"6",
"3",
"1",
"1",
"1",
"5",
"10",
"1",
"1",
"3",
"1",
"1"
] |
[
"nonn",
"easy",
"mult"
] | 6 | 1 | 4 |
[
"A000188",
"A001620",
"A002117",
"A005117",
"A034448",
"A244115",
"A323308",
"A365403",
"A365404"
] | null |
Amiram Eldar, Sep 03 2023
| 2023-09-03T10:46:31 |
oeisdata/seq/A365/A365404.seq
|
4acf091b701fd162cd05f251d6e8ca64
|
A365405
|
Erroneous version of A198245.
|
[
"149",
"241",
"2124679",
"16467631",
"17613227",
"327784727",
"426369739",
"1062232319"
] |
[
"dead"
] | 10 | 1 | 1 | null | null | null | 2025-06-02T15:27:08 |
oeisdata/seq/A365/A365405.seq
|
1da6af58c55580b9acf96a571d92828e
|
A365406
|
Numbers j whose largest divisor <= sqrt(j) is a power of 2.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"10",
"11",
"13",
"14",
"16",
"17",
"19",
"20",
"22",
"23",
"24",
"26",
"28",
"29",
"31",
"32",
"34",
"37",
"38",
"41",
"43",
"44",
"46",
"47",
"52",
"53",
"58",
"59",
"61",
"62",
"64",
"67",
"68",
"71",
"72",
"73",
"74",
"76",
"79",
"80",
"82",
"83",
"86",
"88",
"89",
"92",
"94",
"96",
"97",
"101",
"103",
"104",
"106",
"107",
"109",
"112",
"113",
"116",
"118",
"122",
"124",
"127",
"128",
"131",
"134",
"136",
"137"
] |
[
"nonn"
] | 57 | 1 | 2 |
[
"A033676",
"A067742",
"A071561",
"A163280",
"A212171",
"A246955",
"A290110",
"A342081",
"A365406",
"A365408",
"A365716"
] | null |
Omar E. Pol, Oct 10 2023
| 2023-10-30T11:06:51 |
oeisdata/seq/A365/A365406.seq
|
784310d5d2b8fe0e3e977a02a9af4faa
|
A365407
|
Decimal expansion of alpha/Pi, where alpha is the fine-structure constant.
|
[
"0",
"0",
"2",
"3",
"2",
"2",
"8",
"1",
"9",
"4",
"6"
] |
[
"nonn",
"cons",
"more"
] | 26 | 0 | 3 |
[
"A000796",
"A003673",
"A195022",
"A327950",
"A365407"
] | null |
Omar E. Pol, Sep 25 2023
| 2023-10-08T09:33:17 |
oeisdata/seq/A365/A365407.seq
|
d6c61b16e04140c6b7ff7df92971cb22
|
A365408
|
Numbers j whose largest divisor <= sqrt(j) is not a power of 2.
|
[
"9",
"12",
"15",
"18",
"21",
"25",
"27",
"30",
"33",
"35",
"36",
"39",
"40",
"42",
"45",
"48",
"49",
"50",
"51",
"54",
"55",
"56",
"57",
"60",
"63",
"65",
"66",
"69",
"70",
"75",
"77",
"78",
"81",
"84",
"85",
"87",
"90",
"91",
"93",
"95",
"98",
"99",
"100",
"102",
"105",
"108",
"110",
"111",
"114",
"115",
"117",
"119",
"120",
"121",
"123",
"125",
"126",
"129",
"130",
"132",
"133",
"135",
"138",
"140",
"141",
"143",
"144",
"145",
"147",
"150",
"153"
] |
[
"nonn"
] | 21 | 1 | 1 |
[
"A033676",
"A057716",
"A342082",
"A365406",
"A365408"
] | null |
Omar E. Pol, Oct 14 2023
| 2023-10-19T19:53:39 |
oeisdata/seq/A365/A365408.seq
|
8017597ff92ec30cb32c22b4e66239cb
|
A365409
|
a(n) = Sum_{k=1..n} binomial(floor(n/k)+3,4).
|
[
"1",
"6",
"17",
"42",
"78",
"149",
"234",
"379",
"555",
"815",
"1102",
"1557",
"2013",
"2662",
"3388",
"4349",
"5319",
"6695",
"8026",
"9846",
"11712",
"14027",
"16328",
"19503",
"22464",
"26200",
"30030",
"34759",
"39255",
"45221",
"50678",
"57623",
"64465",
"72579",
"80469",
"90665",
"99805",
"111020",
"122146",
"135566",
"147908",
"163638"
] |
[
"nonn",
"easy"
] | 25 | 1 | 2 |
[
"A006218",
"A024916",
"A059358",
"A064602",
"A064603",
"A364970",
"A365409",
"A365439"
] | null |
Seiichi Manyama, Oct 23 2023
| 2023-10-27T09:57:13 |
oeisdata/seq/A365/A365409.seq
|
965164c93fe1345e0bb475e43c11bbf0
|
A365410
|
Parity of A000070.
|
[
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"1"
] |
[
"nonn"
] | 28 | 0 | null |
[
"A000035",
"A000041",
"A000070",
"A040051",
"A176206",
"A336811",
"A338156",
"A365410"
] | null |
Omar E. Pol, Sep 25 2023
| 2023-10-08T09:35:15 |
oeisdata/seq/A365/A365410.seq
|
df298027d804e6dbcd2e23e943c33398
|
A365411
|
Numbers k such that 4*k-1 and 4*k+1 are both prime powers (A246655).
|
[
"1",
"2",
"3",
"6",
"7",
"12",
"15",
"18",
"20",
"27",
"42",
"45",
"48",
"57",
"60",
"78",
"87",
"90",
"105",
"108",
"150",
"165",
"182",
"207",
"210",
"255",
"258",
"273",
"288",
"330",
"342",
"357",
"363",
"372",
"402",
"405",
"417",
"447",
"462",
"468",
"483",
"507",
"522",
"528",
"552",
"567",
"585",
"600",
"648",
"672",
"678",
"750",
"780",
"792",
"813",
"825",
"840",
"843"
] |
[
"nonn",
"easy"
] | 21 | 1 | 2 |
[
"A045753",
"A246655",
"A365411",
"A365416",
"A366502"
] | null |
Jianing Song, Oct 22 2023
| 2023-10-23T02:09:46 |
oeisdata/seq/A365/A365411.seq
|
a7d9dd3113fccb2ace1eb5f5119f0eb4
|
A365412
|
a(n) = sigma(6*n+2). Sum of the divisors of 6*n+2, n >= 0.
|
[
"3",
"15",
"24",
"42",
"42",
"63",
"60",
"84",
"93",
"120",
"96",
"126",
"114",
"186",
"132",
"168",
"171",
"210",
"216",
"210",
"186",
"255",
"204",
"336",
"222",
"300",
"240",
"294",
"324",
"372",
"336",
"336",
"294",
"465",
"312",
"378",
"330",
"504",
"432",
"420",
"399",
"480",
"384",
"588",
"480",
"558",
"420",
"504",
"540",
"570",
"456",
"672",
"474",
"762",
"492",
"588",
"549",
"660",
"744"
] |
[
"nonn",
"easy"
] | 17 | 0 | 1 |
[
"A000203",
"A016933",
"A098098",
"A224613",
"A239660",
"A363031",
"A365412",
"A365442"
] | null |
Omar E. Pol, Sep 07 2023
| 2023-09-25T09:10:59 |
oeisdata/seq/A365/A365412.seq
|
77c9bee6eb3202f47a4b9c25c0f466b6
|
A365413
|
a(1) = 2, a(n) = k - 1, where k is the least number greater than a(n-1) such that rad(k) | a(n-1), where rad(n) = A007947(n).
|
[
"2",
"3",
"8",
"15",
"24",
"26",
"31",
"960",
"971",
"942840",
"944783",
"946728",
"948675",
"950624",
"952575",
"954528",
"956483",
"958440",
"959999",
"2229048",
"2232035",
"2235024",
"2238015",
"2241008",
"2244003",
"2247000",
"2249999",
"2253000",
"2256003",
"2259008",
"2262015",
"2265024",
"2268035",
"2271048",
"2274063",
"2277080",
"2280099"
] |
[
"nonn",
"hard"
] | 20 | 1 | 1 |
[
"A007947",
"A289280",
"A365324",
"A365413"
] | null |
Michael De Vlieger, Nov 15 2023
| 2023-11-19T10:33:37 |
oeisdata/seq/A365/A365413.seq
|
35e7d0591a1c009f0398262e9f781f0d
|
A365414
|
a(n) = sigma(6*n+4). Sum of the divisors of 6*n+4, n >= 0.
|
[
"7",
"18",
"31",
"36",
"56",
"54",
"90",
"72",
"98",
"90",
"127",
"144",
"140",
"126",
"180",
"144",
"217",
"162",
"248",
"180",
"224",
"252",
"270",
"216",
"266",
"288",
"378",
"252",
"308",
"270",
"360",
"360",
"399",
"306",
"434",
"324",
"504",
"342",
"450",
"432",
"434",
"468",
"511",
"396",
"476",
"414",
"720",
"504",
"518",
"450",
"620",
"576",
"560",
"576",
"630",
"504",
"756",
"522",
"756",
"540"
] |
[
"nonn",
"easy",
"less"
] | 16 | 0 | 1 |
[
"A000203",
"A016957",
"A098098",
"A224613",
"A363031",
"A365414",
"A365444"
] | null |
Omar E. Pol, Sep 07 2023
| 2023-09-25T09:12:54 |
oeisdata/seq/A365/A365414.seq
|
027c7b3d99554af0988b45c336560e35
|
A365415
|
Number of decimal digits of e after its decimal point needed to contain all digit substrings of length n.
|
[
"20",
"371",
"8091",
"102127",
"1061612",
"12108840",
"198150340",
"1929504533"
] |
[
"base",
"nonn",
"more"
] | 46 | 1 | 1 |
[
"A001113",
"A152182",
"A332262",
"A365415"
] | null |
Bartlomiej Pawlik, Sep 07 2023
| 2023-10-04T22:25:56 |
oeisdata/seq/A365/A365415.seq
|
ff6f22cb9a98ab8f30860ce2b78c1d5e
|
A365416
|
Numbers k such that 2*k-1 and 2*k+1 are both prime powers (A246655).
|
[
"2",
"3",
"4",
"5",
"6",
"9",
"12",
"13",
"14",
"15",
"21",
"24",
"30",
"36",
"40",
"41",
"51",
"54",
"63",
"69",
"75",
"84",
"90",
"96",
"99",
"114",
"120",
"121",
"135",
"141",
"156",
"174",
"180",
"210",
"216",
"231",
"261",
"285",
"300",
"309",
"321",
"330",
"364",
"405",
"411",
"414",
"420",
"429",
"441",
"510",
"516",
"525",
"531",
"546",
"576",
"615",
"639",
"645",
"651",
"660",
"684"
] |
[
"nonn",
"easy"
] | 20 | 1 | 1 |
[
"A040040",
"A088071",
"A175593",
"A246655",
"A365411",
"A365416"
] | null |
Jianing Song, Oct 22 2023
| 2023-10-26T06:09:16 |
oeisdata/seq/A365/A365416.seq
|
4968ce0537812f761c474200fada0aee
|
A365417
|
Partial sums of A265036.
|
[
"1",
"5",
"11",
"18",
"28",
"42",
"62",
"86",
"110",
"133",
"159",
"193",
"235",
"279",
"319",
"356",
"398",
"452",
"516",
"580",
"636",
"687",
"745",
"819",
"905",
"989",
"1061",
"1126",
"1200",
"1294",
"1402",
"1506",
"1594",
"1673",
"1763",
"1877",
"2007",
"2131",
"2235",
"2328",
"2434",
"2568",
"2720",
"2864",
"2984",
"3091",
"3213",
"3367",
"3541",
"3705",
"3841",
"3962",
"4100",
"4274",
"4470",
"4654"
] |
[
"nonn",
"easy"
] | 11 | 0 | 2 |
[
"A265036",
"A365417"
] | null |
Ray Chandler, Sep 03 2023
| 2023-09-03T13:46:32 |
oeisdata/seq/A365/A365417.seq
|
9937aefacdc8009821fa01bd3de44517
|
A365418
|
Partial sums of A301298.
|
[
"1",
"6",
"15",
"29",
"48",
"71",
"99",
"132",
"169",
"211",
"258",
"309",
"365",
"426",
"491",
"561",
"636",
"715",
"799",
"888",
"981",
"1079",
"1182",
"1289",
"1401",
"1518",
"1639",
"1765",
"1896",
"2031",
"2171",
"2316",
"2465",
"2619",
"2778",
"2941",
"3109",
"3282",
"3459",
"3641",
"3828",
"4019",
"4215",
"4416",
"4621",
"4831",
"5046",
"5265",
"5489",
"5718",
"5951",
"6189",
"6432",
"6679",
"6931",
"7188",
"7449"
] |
[
"nonn",
"easy"
] | 11 | 0 | 2 |
[
"A301298",
"A365418"
] | null |
Ray Chandler, Sep 03 2023
| 2023-09-03T13:42:26 |
oeisdata/seq/A365/A365418.seq
|
769f5c9cd7dc3d8cc751ac8d3354eb86
|
A365419
|
Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+2) / (5*k+2)! ).
|
[
"1",
"0",
"1",
"0",
"3",
"0",
"15",
"1",
"105",
"36",
"945",
"990",
"10396",
"25740",
"136942",
"675675",
"2238405",
"18378361",
"50490765",
"523833819",
"1665638325",
"15790609395",
"71976549646",
"515107015830",
"3524757498023",
"19222751356875",
"181500385651325",
"888496839591076",
"9603885700913400"
] |
[
"nonn"
] | 41 | 0 | 5 |
[
"A000296",
"A365338",
"A365419"
] | null |
Seiichi Manyama, Sep 22 2023
| 2023-09-24T11:06:30 |
oeisdata/seq/A365/A365419.seq
|
c219072e842647d82675528449d7939a
|
A365420
|
Pick any pair of adjacent digits in a(n); their absolute difference is present in a(n).
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"12",
"20",
"21",
"24",
"30",
"36",
"40",
"42",
"48",
"50",
"60",
"63",
"70",
"80",
"84",
"90",
"100",
"101",
"102",
"103",
"104",
"105",
"106",
"107",
"108",
"109",
"110",
"120",
"121",
"123",
"124",
"132",
"143",
"154",
"165",
"176",
"187",
"198",
"200",
"201",
"202",
"203",
"204",
"205",
"206",
"207",
"208",
"209",
"210",
"212",
"213",
"220",
"231",
"240",
"242"
] |
[
"base",
"nonn"
] | 18 | 1 | 3 |
[
"A338855",
"A365420"
] | null |
Eric Angelini, Sep 03 2023
| 2024-11-11T15:55:13 |
oeisdata/seq/A365/A365420.seq
|
bffcfa6be7e719a6626acb8daab3eaf2
|
A365421
|
a(n) = 1 if n and A163511(n) have the same prime signature, otherwise 0.
|
[
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0"
] |
[
"nonn"
] | 10 | 1 | null |
[
"A046523",
"A163511",
"A278531",
"A364251",
"A365392",
"A365421",
"A365422"
] | null |
Antti Karttunen, Sep 04 2023
| 2023-09-04T22:47:13 |
oeisdata/seq/A365/A365421.seq
|
3f8870431604a5f33a8264bddd018f76
|
A365422
|
Numbers k for which k and A163511(k) have the same prime signature.
|
[
"3",
"6",
"7",
"12",
"14",
"24",
"28",
"31",
"45",
"48",
"55",
"56",
"62",
"90",
"96",
"110",
"111",
"112",
"119",
"123",
"124",
"127",
"175",
"180",
"192",
"207",
"220",
"222",
"224",
"238",
"246",
"247",
"248",
"253",
"254",
"350",
"360",
"384",
"414",
"440",
"444",
"447",
"448",
"476",
"492",
"494",
"496",
"506",
"508",
"567",
"700",
"720",
"768",
"828",
"880",
"888",
"894",
"895",
"896",
"927",
"945",
"952",
"957",
"959",
"984",
"987",
"988",
"992"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A007283",
"A046523",
"A163511",
"A278531",
"A335431",
"A365421",
"A365422",
"A365423"
] | null |
Antti Karttunen, Sep 04 2023
| 2023-09-04T18:21:18 |
oeisdata/seq/A365/A365422.seq
|
82061f78a4ec5820f0ba0c4d55dec1c1
|
A365423
|
Odd numbers k for which k and A163511(k) have the same prime signature.
|
[
"3",
"7",
"31",
"45",
"55",
"111",
"119",
"123",
"127",
"175",
"207",
"247",
"253",
"447",
"567",
"895",
"927",
"945",
"957",
"959",
"987",
"1005",
"1007",
"1017",
"1503",
"1519",
"1887",
"1919",
"1983",
"2013",
"2023",
"2031",
"2037",
"2045",
"3325",
"3567",
"3835",
"3839",
"3927",
"3965",
"4015",
"4025",
"4029",
"4031",
"4063",
"4085",
"4087",
"5887",
"7035",
"7095",
"7119",
"7163",
"7167",
"7679",
"7791",
"7839",
"7917",
"7931"
] |
[
"nonn"
] | 5 | 1 | 1 |
[
"A000668",
"A046523",
"A163511",
"A278531",
"A364297",
"A365421",
"A365422",
"A365423"
] | null |
Antti Karttunen, Sep 04 2023
| 2023-09-04T18:21:24 |
oeisdata/seq/A365/A365423.seq
|
149feb62e567c68f2151b94e823e56ef
|
A365424
|
a(1) = 1, a(3^k) = 3 for k >= 1, and for any other n, a(n) is the last prime that is selected when the value of A356867(n) is computed with a greedy algorithm.
|
[
"1",
"2",
"3",
"5",
"2",
"2",
"2",
"2",
"3",
"7",
"7",
"5",
"5",
"5",
"2",
"5",
"2",
"2",
"5",
"2",
"2",
"5",
"2",
"2",
"2",
"2",
"3",
"11",
"11",
"7",
"11",
"11",
"7",
"7",
"7",
"5",
"7",
"7",
"5",
"7",
"7",
"5",
"5",
"5",
"2",
"7",
"7",
"5",
"5",
"5",
"2",
"5",
"2",
"2",
"7",
"5",
"5",
"5",
"2",
"2",
"5",
"2",
"2",
"7",
"5",
"5",
"5",
"2",
"2",
"5",
"2",
"2",
"5",
"2",
"2",
"5",
"2",
"2",
"2",
"2",
"3",
"13",
"13",
"11",
"13",
"13",
"11",
"13",
"13",
"7",
"13",
"11",
"11",
"13",
"11",
"11",
"11",
"11",
"7"
] |
[
"nonn"
] | 19 | 1 | 2 |
[
"A000040",
"A000244",
"A005940",
"A053735",
"A290251",
"A356867",
"A365424",
"A365459"
] | null |
Antti Karttunen, Sep 17 2023
| 2023-09-17T12:10:21 |
oeisdata/seq/A365/A365424.seq
|
10218acd58af92949dad1c521668607b
|
A365425
|
The least number with the prime signature of the odd part of A163511(n): a(n) = A046523(A000265(A163511(n))).
|
[
"1",
"1",
"1",
"2",
"1",
"4",
"2",
"2",
"1",
"8",
"4",
"4",
"2",
"6",
"2",
"2",
"1",
"16",
"8",
"8",
"4",
"12",
"4",
"4",
"2",
"12",
"6",
"6",
"2",
"6",
"2",
"2",
"1",
"32",
"16",
"16",
"8",
"24",
"8",
"8",
"4",
"36",
"12",
"12",
"4",
"12",
"4",
"4",
"2",
"24",
"12",
"12",
"6",
"30",
"6",
"6",
"2",
"12",
"6",
"6",
"2",
"6",
"2",
"2",
"1",
"64",
"32",
"32",
"16",
"48",
"16",
"16",
"8",
"72",
"24",
"24",
"8",
"24",
"8",
"8",
"4",
"72",
"36",
"36",
"12",
"60",
"12",
"12",
"4",
"36",
"12",
"12",
"4",
"12",
"4",
"4",
"2"
] |
[
"nonn"
] | 10 | 0 | 4 |
[
"A000265",
"A046523",
"A064989",
"A163511",
"A278531",
"A336158",
"A365425"
] | null |
Antti Karttunen, Sep 03 2023
| 2023-09-03T18:21:01 |
oeisdata/seq/A365/A365425.seq
|
4b3c612b8866ef2ae63e92e35ed7299c
|
A365426
|
a(n) = A336466(A163511(n)).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"9",
"1",
"1",
"1",
"3",
"1",
"3",
"3",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"27",
"1",
"1",
"1",
"9",
"1",
"9",
"9",
"25",
"1",
"1",
"1",
"3",
"1",
"3",
"3",
"15",
"1",
"3",
"3",
"5",
"3",
"5",
"5",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"81",
"1",
"1",
"1",
"27",
"1",
"27",
"27",
"125",
"1",
"1",
"1",
"9",
"1",
"9",
"9",
"75",
"1",
"9",
"9",
"25",
"9",
"25",
"25",
"9",
"1",
"1",
"1",
"3",
"1"
] |
[
"nonn"
] | 9 | 0 | 16 |
[
"A000265",
"A163511",
"A336466",
"A365426",
"A365427"
] | null |
Antti Karttunen, Sep 03 2023
| 2023-09-03T18:00:53 |
oeisdata/seq/A365/A365426.seq
|
e1d5919d7542aca31888de57a8cb842f
|
A365427
|
a(n) = A336467(A163511(n)).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"9",
"1",
"3",
"3",
"1",
"1",
"1",
"1",
"27",
"1",
"9",
"9",
"1",
"1",
"3",
"3",
"3",
"3",
"1",
"1",
"3",
"1",
"1",
"1",
"81",
"1",
"27",
"27",
"1",
"1",
"9",
"9",
"3",
"9",
"1",
"1",
"9",
"1",
"3",
"3",
"9",
"3",
"3",
"3",
"3",
"3",
"1",
"1",
"9",
"1",
"3",
"3",
"7",
"1",
"1",
"1",
"243",
"1",
"81",
"81",
"1",
"1",
"27",
"27",
"3",
"27",
"1",
"1",
"27",
"1",
"9",
"9",
"9",
"9",
"3",
"3",
"9",
"9",
"1",
"1",
"27",
"1",
"9",
"9",
"49",
"1",
"3",
"3",
"27",
"3"
] |
[
"nonn"
] | 9 | 0 | 8 |
[
"A000265",
"A163511",
"A336467",
"A365426",
"A365427"
] | null |
Antti Karttunen, Sep 03 2023
| 2023-09-03T18:21:09 |
oeisdata/seq/A365/A365427.seq
|
21aec033adc2124e3ce5c1d2ef0e6d73
|
A365428
|
Dirichlet inverse of A102283.
|
[
"1",
"1",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"1",
"1",
"0",
"-1",
"-1",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"1",
"1",
"0",
"0",
"-1",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"1",
"-1",
"0",
"-1",
"-1",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"-1",
"-1",
"0",
"0",
"-1",
"0",
"-1",
"0",
"0",
"-1",
"1",
"0",
"-1",
"-1",
"0",
"0",
"-1",
"0",
"-1",
"0",
"0",
"1",
"1",
"0",
"1",
"-1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"-1",
"0",
"-1",
"0",
"0",
"0",
"1",
"0",
"-1",
"0",
"0"
] |
[
"sign",
"mult"
] | 11 | 1 | null |
[
"A102283",
"A134323",
"A156277",
"A359377",
"A365428"
] | null |
Antti Karttunen, Sep 16 2023
| 2023-09-16T21:03:13 |
oeisdata/seq/A365/A365428.seq
|
58557b88fcac7241568e8336b85d4835
|
A365429
|
a(n) = 1 if the divisors of n increase by a factor of at most 2, otherwise 0.
|
[
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1"
] |
[
"nonn"
] | 9 | 1 | null |
[
"A174973",
"A322860",
"A365429"
] | null |
Antti Karttunen, Oct 22 2023
| 2023-10-22T16:44:05 |
oeisdata/seq/A365/A365429.seq
|
cd09e18a87a59868cfd8f64f7c3fba86
|
A365430
|
a(n) = A156552(gcd(n, A005940(n))), and A156552 is the inverse of offset-0 version of Doudna-sequence A005940.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"0",
"7",
"0",
"9",
"0",
"11",
"0",
"1",
"2",
"15",
"0",
"1",
"0",
"19",
"8",
"1",
"0",
"23",
"0",
"1",
"2",
"3",
"0",
"5",
"0",
"31",
"0",
"1",
"0",
"3",
"0",
"1",
"2",
"39",
"0",
"17",
"0",
"3",
"4",
"1",
"0",
"47",
"0",
"1",
"2",
"3",
"0",
"5",
"4",
"7",
"0",
"1",
"0",
"11",
"0",
"1",
"6",
"63",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"7",
"0",
"1",
"10",
"3",
"16",
"5",
"0",
"79",
"0",
"1",
"0",
"35",
"4",
"1",
"2",
"7",
"0",
"9",
"8",
"3",
"0",
"1",
"4",
"95",
"0",
"1",
"34",
"3"
] |
[
"nonn"
] | 11 | 1 | 3 |
[
"A005940",
"A341520",
"A364500",
"A365430",
"A365432"
] | null |
Antti Karttunen, Sep 07 2023
| 2023-09-07T16:10:02 |
oeisdata/seq/A365/A365430.seq
|
f05d1a0ac7f137b53d4004b9997f7224
|
A365431
|
Lexicographically earliest infinite sequence such that a(i) = a(j) => A364502(i) = A364502(j) for all i, j >= 1, where A364502(n) is the denominator of n / A005940(n).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"5",
"2",
"2",
"1",
"6",
"3",
"7",
"1",
"8",
"4",
"9",
"1",
"10",
"5",
"5",
"2",
"11",
"2",
"12",
"1",
"13",
"6",
"14",
"3",
"15",
"7",
"7",
"1",
"16",
"8",
"17",
"4",
"18",
"9",
"19",
"1",
"20",
"10",
"10",
"5",
"21",
"5",
"9",
"2",
"22",
"11",
"23",
"2",
"24",
"12",
"25",
"1",
"26",
"13",
"27",
"6",
"28",
"14",
"29",
"3",
"30",
"15",
"6",
"7",
"5",
"7",
"31",
"1",
"32",
"16",
"33",
"8",
"16",
"17",
"17",
"4",
"34",
"18",
"35",
"9",
"36",
"19",
"12",
"1"
] |
[
"nonn",
"look"
] | 13 | 1 | 7 |
[
"A005940",
"A364502",
"A365393",
"A365431",
"A365432",
"A365715"
] | null |
Antti Karttunen, Sep 07 2023
| 2023-09-17T12:10:10 |
oeisdata/seq/A365/A365431.seq
|
8f16ed4b6a8943f1a49552eba096b777
|
A365432
|
a(n) = A156552(A364502(n)), where A364502(n) = A005940(n) / gcd(n, A005940(n)), and A156552 is the inverse of offset-0 version of Doudna-sequence A005940.
|
[
"0",
"0",
"0",
"0",
"0",
"0",
"6",
"0",
"8",
"0",
"10",
"0",
"12",
"6",
"6",
"0",
"16",
"8",
"18",
"0",
"4",
"10",
"22",
"0",
"24",
"12",
"12",
"6",
"28",
"6",
"30",
"0",
"32",
"16",
"34",
"8",
"36",
"18",
"18",
"0",
"40",
"4",
"42",
"10",
"20",
"22",
"46",
"0",
"48",
"24",
"24",
"12",
"52",
"12",
"22",
"6",
"56",
"28",
"58",
"6",
"60",
"30",
"14",
"0",
"64",
"32",
"66",
"16",
"68",
"34",
"70",
"8",
"72",
"36",
"16",
"18",
"12",
"18",
"78",
"0",
"80",
"40",
"82",
"4",
"40",
"42",
"42",
"10"
] |
[
"nonn"
] | 11 | 1 | 7 |
[
"A005940",
"A341520",
"A364500",
"A365430",
"A365431",
"A365432"
] | null |
Antti Karttunen, Sep 07 2023
| 2023-09-07T16:11:07 |
oeisdata/seq/A365/A365432.seq
|
088c5f70217b6de15a47320e23a00432
|
A365433
|
Height of the ziggurat of order n described in A347186.
|
[
"1",
"2",
"2",
"4",
"3",
"6",
"4",
"8",
"5",
"9",
"6",
"12",
"7",
"12",
"10",
"16",
"9",
"18",
"10",
"20",
"13",
"18",
"12",
"24",
"13",
"21",
"16",
"28",
"15",
"30",
"16",
"32",
"19",
"27",
"21",
"36",
"19",
"30",
"22",
"40",
"21",
"42",
"22",
"42",
"40",
"36",
"24",
"48",
"25",
"39",
"28",
"49",
"27",
"54",
"36",
"56",
"31",
"45",
"30",
"60",
"31",
"48",
"36",
"64",
"41",
"66",
"34",
"63",
"37",
"56",
"36",
"72",
"37",
"57",
"61",
"70",
"50",
"77",
"40",
"80"
] |
[
"nonn"
] | 33 | 1 | 2 |
[
"A000079",
"A000396",
"A065091",
"A174973",
"A196020",
"A235791",
"A236104",
"A237270",
"A237271",
"A237591",
"A237593",
"A238524",
"A245092",
"A262626",
"A347186",
"A347263",
"A347367",
"A365195",
"A365433",
"A365434"
] | null |
Omar E. Pol, Oct 18 2023
| 2023-10-22T16:57:38 |
oeisdata/seq/A365/A365433.seq
|
eff460abe2159d16b0292ae71ee62ea4
|
A365434
|
Irregular triangle read by rows: T(n,k) is the number of cubes in the k-th level of the ziggurat of order n described in A347186, n >= 1, k >= 1.
|
[
"1",
"3",
"1",
"4",
"2",
"7",
"5",
"3",
"1",
"6",
"4",
"2",
"12",
"9",
"7",
"5",
"3",
"1",
"8",
"6",
"4",
"2",
"15",
"13",
"11",
"9",
"7",
"5",
"3",
"1",
"13",
"9",
"7",
"5",
"2",
"18",
"16",
"14",
"12",
"10",
"8",
"6",
"4",
"2",
"12",
"10",
"8",
"6",
"4",
"2",
"28",
"24",
"22",
"20",
"16",
"14",
"12",
"9",
"7",
"5",
"3",
"1",
"14",
"12",
"10",
"8",
"6",
"4",
"2",
"24",
"22",
"20",
"18",
"16",
"14",
"12",
"10",
"8",
"6",
"4",
"2",
"24",
"19",
"17",
"15",
"11",
"9",
"7",
"3",
"1",
"1"
] |
[
"nonn",
"tabf"
] | 22 | 1 | 2 |
[
"A000079",
"A000203",
"A000396",
"A065091",
"A174973",
"A196020",
"A235791",
"A236104",
"A237270",
"A237271",
"A237591",
"A237593",
"A238524",
"A245092",
"A262626",
"A347186",
"A347263",
"A347367",
"A365195",
"A365433",
"A365434"
] | null |
Omar E. Pol, Oct 19 2023
| 2023-10-22T16:57:57 |
oeisdata/seq/A365/A365434.seq
|
f55a09f9dbbe9460696563325f7766b2
|
A365435
|
Position of A002110(n) in A005117.
|
[
"1",
"2",
"5",
"19",
"129",
"1405",
"18262",
"310347",
"5896728",
"135624240",
"3933101824",
"121926157641",
"4511267827532",
"184961980943493",
"7953365180610401",
"373808163488684050",
"19811832664899731266",
"1168898127229083969893",
"71302785760974119699474"
] |
[
"nonn",
"hard",
"more"
] | 29 | 0 | 2 |
[
"A002110",
"A005117",
"A071172",
"A365435"
] | null |
Michael De Vlieger, Nov 19 2023
| 2024-08-13T21:03:54 |
oeisdata/seq/A365/A365435.seq
|
8b3f785fd0f264d9bbe8540dd070f31b
|
A365436
|
a(2^k) = 2^k for all k >= 0. let 2^r be the smallest power of 2 which exceeds n, then a(n) = the least novel m*a(k), where k = 2^r-n, and m is not a prior term.
|
[
"1",
"2",
"3",
"4",
"15",
"10",
"5",
"8",
"30",
"60",
"90",
"24",
"18",
"12",
"6",
"16",
"42",
"84",
"126",
"168",
"630",
"420",
"210",
"56",
"35",
"70",
"105",
"28",
"21",
"14",
"7",
"32",
"63",
"154",
"189",
"252",
"945",
"770",
"315",
"504",
"1890",
"3780",
"5670",
"1512",
"1134",
"756",
"378",
"144",
"54",
"108",
"162",
"216",
"810",
"540",
"270",
"72",
"45",
"110",
"135"
] |
[
"nonn"
] | 41 | 1 | 2 |
[
"A005940",
"A356886",
"A365436"
] | null |
David James Sycamore, Nov 09 2023
| 2023-11-24T05:51:07 |
oeisdata/seq/A365/A365436.seq
|
2c0162eb2b6d63a22384564b7f2404ec
|
A365437
|
Number of ways of placing n non-attacking queens on an n X n board, with no three queens in a straight line.
|
[
"1",
"1",
"0",
"0",
"2",
"0",
"0",
"0",
"8",
"32",
"40",
"96",
"410",
"1392",
"4416",
"18752",
"71486",
"235056",
"1001972",
"4285920",
"21887710",
"94619480",
"422557444",
"2101021824",
"11943690634",
"61113195600"
] |
[
"nonn",
"more"
] | 70 | 0 | 5 |
[
"A000170",
"A000755",
"A365437"
] | null |
Don Knuth, Nov 07 2023
| 2024-05-02T03:45:14 |
oeisdata/seq/A365/A365437.seq
|
463a8a61768e6813697f6ac3bcdb5b76
|
A365438
|
E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^2)/A(x).
|
[
"1",
"1",
"3",
"20",
"216",
"3214",
"60940",
"1405088",
"38165904",
"1193631360",
"42244603368",
"1669171435392",
"72834612333120",
"3478615044283872",
"180496518526631424",
"10110668949900238848",
"608110470593816945664",
"39086875354688578492416",
"2673826803093451383429120"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A138013",
"A365438",
"A365546"
] | null |
Seiichi Manyama, Nov 08 2023
| 2023-11-08T07:51:15 |
oeisdata/seq/A365/A365438.seq
|
efbfe70ee8d7338847f9fc49638fee07
|
A365439
|
a(n) = Sum_{k=1..n} binomial(floor(n/k)+4,5).
|
[
"1",
"7",
"23",
"64",
"135",
"282",
"493",
"864",
"1375",
"2166",
"3168",
"4715",
"6536",
"9132",
"12278",
"16525",
"21371",
"27998",
"35314",
"44995",
"55847",
"69504",
"84455",
"103882",
"124428",
"150005",
"177921",
"212017",
"247978",
"292890",
"339267",
"395874",
"455796",
"526692",
"600788",
"691066",
"782457",
"891048",
"1004814"
] |
[
"nonn",
"easy"
] | 17 | 1 | 2 |
[
"A006218",
"A024916",
"A064602",
"A064603",
"A064604",
"A073570",
"A364970",
"A365409",
"A365439"
] | null |
Seiichi Manyama, Oct 23 2023
| 2023-10-27T09:57:26 |
oeisdata/seq/A365/A365439.seq
|
7a4a1b031cb4f8676ddec7d26442c9e4
|
A365440
|
Square array read by upward antidiagonals: T(n,k) is the n-th number j with the property that the parts of the symmetric representation of sigma(j) are two s-gon of width 1, where s = 2^(k+1), n >= 1, k >= 1.
|
[
"3",
"5",
"10",
"7",
"14",
"44",
"11",
"22",
"52",
"136",
"13",
"26",
"68",
"152",
"592",
"17",
"34",
"76",
"184",
"656"
] |
[
"nonn",
"tabl",
"more"
] | 35 | 1 | 1 |
[
"A008578",
"A036563",
"A065091",
"A161344",
"A161345",
"A161424",
"A161835",
"A163280",
"A196020",
"A235791",
"A236104",
"A237270",
"A237271",
"A237591",
"A237593",
"A239929",
"A241008",
"A245092",
"A246955",
"A246956",
"A262626",
"A362866",
"A364639",
"A365406",
"A365440"
] | null |
Omar E. Pol, Sep 25 2023
| 2023-12-31T00:02:20 |
oeisdata/seq/A365/A365440.seq
|
67f5a3829374c22a468c6c648f9a04b5
|
A365441
|
Number of partitions of [2n] whose block maxima sum to 3n.
|
[
"1",
"1",
"2",
"5",
"10",
"23",
"47",
"103",
"209",
"449",
"908",
"1909",
"3864",
"8011",
"16165",
"33244",
"66933",
"136628",
"274876",
"558107",
"1121160",
"2268526",
"4552291",
"9183569",
"18417449",
"37073504",
"74300048",
"149334422",
"299134695",
"600481001",
"1202436958",
"2411536369",
"4827532935",
"9675363921",
"19364235775"
] |
[
"nonn"
] | 71 | 0 | 3 |
[
"A000110",
"A365441",
"A367955",
"A367969",
"A368204",
"A368675"
] | null |
Alois P. Heinz, Dec 06 2023
| 2024-10-03T07:47:17 |
oeisdata/seq/A365/A365441.seq
|
24a2730d09bfb2615a7fbcef0c312331
|
A365442
|
Partial sums of A365412.
|
[
"3",
"18",
"42",
"84",
"126",
"189",
"249",
"333",
"426",
"546",
"642",
"768",
"882",
"1068",
"1200",
"1368",
"1539",
"1749",
"1965",
"2175",
"2361",
"2616",
"2820",
"3156",
"3378",
"3678",
"3918",
"4212",
"4536",
"4908",
"5244",
"5580",
"5874",
"6339",
"6651",
"7029",
"7359",
"7863",
"8295",
"8715",
"9114",
"9594",
"9978",
"10566",
"11046",
"11604",
"12024",
"12528"
] |
[
"nonn",
"easy"
] | 50 | 0 | 1 |
[
"A000203",
"A016933",
"A237593",
"A239660",
"A363161",
"A365412",
"A365442",
"A365444",
"A365446",
"A383403",
"A383405"
] | null |
Omar E. Pol, Sep 07 2023
| 2025-05-05T23:22:40 |
oeisdata/seq/A365/A365442.seq
|
75b21c8e9218c00d8def2e6f0592274e
|
A365443
|
Triangle read by rows: T(n,s) is the numerator of the probability that the sum s occurs when repeated rolls of an n-sided die are summed for s = 0..2n.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"5",
"11",
"1",
"1",
"4",
"16",
"37",
"121",
"376",
"1",
"1",
"5",
"25",
"125",
"369",
"1589",
"6665",
"26925",
"1",
"1",
"6",
"36",
"216",
"1296",
"4651",
"24781",
"129936",
"667116",
"3327696",
"1",
"1",
"7",
"49",
"343",
"2401",
"16807",
"70993",
"450295",
"2825473",
"17492167",
"106442161",
"633074071",
"1",
"1",
"8",
"64"
] |
[
"nonn",
"tabf",
"frac"
] | 55 | 0 | 7 |
[
"A000272",
"A365443",
"A366451"
] | null |
Nicholas Stefan Georgescu, Oct 23 2023
| 2025-04-02T15:57:22 |
oeisdata/seq/A365/A365443.seq
|
8d7eb8ebea0b38ee2d16e8d4876a4bfb
|
A365444
|
Partial sums of A365414.
|
[
"7",
"25",
"56",
"92",
"148",
"202",
"292",
"364",
"462",
"552",
"679",
"823",
"963",
"1089",
"1269",
"1413",
"1630",
"1792",
"2040",
"2220",
"2444",
"2696",
"2966",
"3182",
"3448",
"3736",
"4114",
"4366",
"4674",
"4944",
"5304",
"5664",
"6063",
"6369",
"6803",
"7127",
"7631",
"7973",
"8423",
"8855",
"9289",
"9757",
"10268",
"10664",
"11140",
"11554",
"12274",
"12778"
] |
[
"nonn",
"easy",
"less"
] | 34 | 0 | 1 |
[
"A000203",
"A016957",
"A239660",
"A363161",
"A365414",
"A365442",
"A365444",
"A365446"
] | null |
Omar E. Pol, Sep 07 2023
| 2023-10-22T16:58:26 |
oeisdata/seq/A365/A365444.seq
|
96bbcdc7af237bc88d3679c61c3b6a96
|
A365445
|
a(n) is the index of the least prime that is also a centered n-gonal number, or -1 if none exists.
|
[
"8",
"3",
"11",
"4",
"14",
"-1",
"-1",
"5",
"19",
"6",
"22",
"14",
"36",
"7",
"27",
"8",
"43",
"18",
"31",
"9",
"34",
"21",
"36",
"22",
"38",
"10",
"795",
"11",
"64",
"25",
"46",
"27",
"47",
"12",
"48",
"50",
"183",
"13",
"394",
"14",
"83",
"121",
"58",
"15",
"61",
"169",
"94",
"36",
"63",
"16",
"489",
"38",
"67",
"68",
"105",
"17",
"623",
"18",
"73",
"74",
"75",
"44",
"347"
] |
[
"sign"
] | 41 | 3 | 1 |
[
"A000040",
"A000720",
"A101321",
"A276261",
"A365445",
"A365815"
] | null |
Ilya Gutkovskiy, Sep 25 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A365/A365445.seq
|
e369882555fe1f4ab10000201b82525d
|
A365446
|
Partial sums of A224613.
|
[
"12",
"40",
"79",
"139",
"211",
"302",
"398",
"522",
"642",
"810",
"954",
"1149",
"1317",
"1541",
"1775",
"2027",
"2243",
"2523",
"2763",
"3123",
"3435",
"3771",
"4059",
"4462",
"4834",
"5226",
"5589",
"6069",
"6429",
"6975",
"7359",
"7867",
"8335",
"8839",
"9415",
"10015",
"10471",
"11031",
"11577",
"12321",
"12825",
"13553",
"14081",
"14801",
"15521",
"16193",
"16769",
"17588",
"18272",
"19140",
"19842"
] |
[
"nonn",
"easy"
] | 25 | 1 | 1 |
[
"A000203",
"A008588",
"A224613",
"A237593",
"A239660",
"A363161",
"A365442",
"A365444",
"A365446",
"A383405"
] | null |
Omar E. Pol, Sep 04 2023
| 2025-04-27T14:48:17 |
oeisdata/seq/A365/A365446.seq
|
846590e81bf4a91f2698bedb435b3b3a
|
A365447
|
Number of nonempty choice functions on a set of n alternatives
|
[
"1",
"3",
"189",
"26254935",
"392654823152462915625",
"28032331438680332717218961936012273854096893310546875"
] |
[
"nonn",
"easy"
] | 36 | 1 | 2 |
[
"A061301",
"A229333",
"A365447"
] | null |
Dmitry I. Ignatov, Oct 03 2023
| 2023-10-30T15:13:52 |
oeisdata/seq/A365/A365447.seq
|
44fdebb5e7b6a6b4cb9cbfe7de17e886
|
A365448
|
Array read by antidiagonals: row 1 is the semiprimes A001358; for m > 1, row m is the semiprimes that are the sum of two successive terms of row m-1.
|
[
"4",
"6",
"10",
"9",
"15",
"25",
"10",
"51",
"146",
"422",
"14",
"69",
"201",
"551",
"973",
"15",
"77",
"221",
"667",
"1858",
"2831",
"21",
"85",
"249",
"1191",
"89855",
"312493",
"127418369",
"22",
"95",
"302",
"1343",
"110099",
"2676567",
"154171217"
] |
[
"nonn",
"tabl",
"more"
] | 38 | 1 | 1 |
[
"A001358",
"A092192",
"A365448",
"A366167"
] | null |
Zak Seidov and Robert Israel, Oct 03 2023
| 2024-01-04T21:12:52 |
oeisdata/seq/A365/A365448.seq
|
9433671f3769accfa2ad1892a7b48b3a
|
A365449
|
Cn(-1) where Cn is the n-th Caylerian polynomial (see A366173).
|
[
"1",
"1",
"-1",
"-3",
"11",
"45",
"-301",
"-1475",
"14755",
"85629"
] |
[
"sign",
"more"
] | 25 | 0 | 4 |
[
"A365449",
"A366173"
] | null |
Michel Marcus, Oct 03 2023
| 2023-10-03T17:12:34 |
oeisdata/seq/A365/A365449.seq
|
e238f2113e9080583d896eb7633daeaf
|
A365450
|
Triangle read by rows: row n gives y transposed, where y is the solution to the matrix equation M*y=b, where the matrix M and vector b are defined by M(i,j) = ((3^(i+1) + 1)^(j-1) + 2)/3 and b(i) = ((3^(i+1)+1)^n + 2)/3 for 1 <= i,j <= n.
|
[
"4",
"-118",
"38",
"9838",
"-3396",
"120",
"-2413594",
"851584",
"-32676",
"364",
"1765112266",
"-627258560",
"24705064",
"-298396",
"1094",
"-3864390160942",
"1376531364480",
"-54681938592",
"677595512",
"-2692068",
"3282",
"25363211967758062",
"-9041746935535360",
"360199412405184",
"-4501063688336",
"18342945728",
"-24228552",
"9844"
] |
[
"sign",
"tabl"
] | 27 | 1 | 1 |
[
"A292625",
"A365450",
"A374258"
] | null |
Ahmad J. Masad, Sep 03 2023
| 2024-08-19T11:44:51 |
oeisdata/seq/A365/A365450.seq
|
cbbcaca972e0c7ba552b32e300a309f5
|
A365451
|
Odd composite numbers k such that A349494(k) = A000120(k).
|
[
"15",
"27",
"51",
"63",
"85",
"95",
"111",
"119",
"123",
"125",
"187",
"219",
"221",
"255",
"335",
"365",
"411",
"447",
"485",
"511",
"629",
"655",
"685",
"697",
"771",
"831",
"879",
"959",
"965",
"1011",
"1139",
"1241",
"1285",
"1405",
"1535",
"1563",
"1649",
"1731",
"1779",
"1791",
"1799",
"1923",
"1983",
"2005",
"2019",
"2031",
"2043",
"2045",
"2227",
"2605",
"2735",
"2815",
"2827",
"2885",
"3099"
] |
[
"nonn",
"base"
] | 16 | 1 | 1 |
[
"A000120",
"A019434",
"A235040",
"A349494",
"A365451"
] | null |
Robert Israel, Sep 03 2023
| 2023-09-04T12:26:21 |
oeisdata/seq/A365/A365451.seq
|
4c893c8dd61095f1fe5e0b5d998d64ff
|
A365452
|
Largest number whose digits, in some base, sum to n and include no zeros.
|
[
"1",
"3",
"7",
"22",
"67",
"213",
"853",
"3413",
"13653",
"66406",
"332031",
"1660156",
"8734003",
"52404019",
"314424115",
"1886544691",
"12193514915",
"85354604406",
"597482230843",
"4182375615902",
"31414617936457",
"251316943491657",
"2010535547933257",
"16084284383466057",
"135502101309790873",
"1219518911788117858"
] |
[
"nonn",
"base"
] | 28 | 1 | 2 |
[
"A000225",
"A365452"
] | null |
Elliott Line, Sep 04 2023
| 2023-10-02T16:19:35 |
oeisdata/seq/A365/A365452.seq
|
8676e01aab6b9569d204c33cb74ee2fd
|
A365453
|
Lexicographically earliest sequence of distinct positive numbers such that, for n > 2, a(n) shares a factor with a(n-1), a(n + a(n)) and, if a(n) < n, with a(n - a(n)).
|
[
"1",
"2",
"4",
"6",
"8",
"10",
"12",
"9",
"15",
"3",
"18",
"14",
"24",
"16",
"20",
"22",
"30",
"21",
"27",
"33",
"36",
"26",
"28",
"35",
"7",
"42",
"32",
"34",
"38",
"40",
"25",
"70",
"44",
"46",
"48",
"39",
"45",
"50",
"54",
"51",
"57",
"60",
"5",
"55",
"65",
"75",
"63",
"90",
"52",
"56",
"58",
"62",
"66",
"64",
"68",
"80",
"72",
"69",
"84",
"74",
"76",
"78",
"81",
"87",
"93",
"96",
"82",
"86",
"88",
"92",
"94",
"98",
"49",
"77",
"91",
"104"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A027748",
"A064413",
"A365259",
"A365453",
"A366021"
] | null |
Scott R. Shannon, Sep 04 2023
| 2025-06-01T19:58:56 |
oeisdata/seq/A365/A365453.seq
|
f1b0cb4ab439ef836131af923dc7b0b7
|
A365454
|
a(n) = gcd(sigma(n), A156552(2*n)).
|
[
"1",
"3",
"1",
"7",
"3",
"1",
"1",
"15",
"13",
"1",
"3",
"1",
"1",
"1",
"3",
"31",
"3",
"3",
"1",
"3",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"63",
"3",
"1",
"1",
"1",
"1",
"5",
"7",
"1",
"3",
"3",
"1",
"3",
"3",
"1",
"3",
"1",
"1",
"3",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"3",
"1",
"1",
"1",
"127",
"1",
"1",
"1",
"3",
"3",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"3",
"3",
"5",
"3",
"1",
"7",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"13",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"9",
"3",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A000203",
"A000225",
"A156552",
"A365454",
"A365455",
"A365456"
] | null |
Antti Karttunen, Sep 10 2023
| 2023-09-11T15:53:03 |
oeisdata/seq/A365/A365454.seq
|
ad689b4687b58aa4c3952fbaab5f3854
|
A365455
|
a(n) = sigma(n) / gcd(sigma(n), A156552(2*n)).
|
[
"1",
"1",
"4",
"1",
"2",
"12",
"8",
"1",
"1",
"18",
"4",
"28",
"14",
"24",
"8",
"1",
"6",
"13",
"20",
"14",
"32",
"36",
"8",
"60",
"31",
"42",
"40",
"56",
"6",
"72",
"32",
"1",
"16",
"54",
"48",
"91",
"38",
"12",
"8",
"90",
"14",
"32",
"44",
"28",
"26",
"72",
"16",
"124",
"57",
"31",
"8",
"98",
"54",
"120",
"72",
"120",
"80",
"90",
"20",
"56",
"62",
"96",
"104",
"1",
"84",
"144",
"68",
"42",
"32",
"144",
"72",
"65",
"74",
"114",
"124",
"140",
"32",
"56",
"16",
"62",
"121",
"18"
] |
[
"nonn",
"frac"
] | 13 | 1 | 3 |
[
"A000203",
"A028982",
"A053866",
"A156552",
"A365454",
"A365455",
"A365456"
] | null |
Antti Karttunen, Sep 10 2023
| 2023-09-11T15:52:58 |
oeisdata/seq/A365/A365455.seq
|
0f8185b009ef1f81b9f505c33eb7938c
|
A365456
|
a(n) = A156552(2*n) / gcd(sigma(n), A156552(2*n)).
|
[
"1",
"1",
"5",
"1",
"3",
"11",
"17",
"1",
"1",
"19",
"11",
"23",
"65",
"35",
"7",
"1",
"43",
"9",
"257",
"13",
"37",
"67",
"171",
"47",
"25",
"131",
"29",
"71",
"205",
"43",
"2049",
"1",
"23",
"259",
"41",
"55",
"4097",
"103",
"19",
"79",
"2731",
"25",
"16385",
"45",
"15",
"1027",
"10923",
"95",
"49",
"17",
"29",
"263",
"65537",
"59",
"73",
"143",
"517",
"2051",
"43691",
"29",
"262145",
"4099",
"77",
"1",
"137",
"139",
"524289",
"173",
"343",
"83"
] |
[
"nonn",
"frac"
] | 11 | 1 | 3 |
[
"A000203",
"A156552",
"A365454",
"A365455",
"A365456",
"A365457"
] | null |
Antti Karttunen, Sep 10 2023
| 2023-09-11T15:52:53 |
oeisdata/seq/A365/A365456.seq
|
4c683b0ebd0100e2d458852f1ff6d7a8
|
A365457
|
a(n) = A365456(A005940(n)), where A365456(n) = A156552(2*n) / gcd(sigma(n), A156552(2*n)), and A156552 is the inverse of offset-0 version of Doudna-sequence, A005940.
|
[
"1",
"1",
"5",
"1",
"3",
"11",
"1",
"1",
"17",
"19",
"7",
"23",
"25",
"9",
"29",
"1",
"11",
"35",
"37",
"13",
"41",
"43",
"15",
"47",
"49",
"17",
"53",
"55",
"19",
"59",
"61",
"1",
"65",
"67",
"23",
"71",
"73",
"25",
"77",
"79",
"27",
"83",
"85",
"29",
"89",
"7",
"31",
"95",
"97",
"11",
"101",
"103",
"35",
"107",
"109",
"37",
"113",
"115",
"3",
"17",
"11",
"41",
"125",
"1",
"43",
"131",
"19",
"45",
"137",
"139",
"47",
"143",
"145",
"49",
"149",
"151",
"51",
"155"
] |
[
"nonn"
] | 12 | 1 | 3 |
[
"A000203",
"A005940",
"A156552",
"A324054",
"A365456",
"A365457"
] | null |
Antti Karttunen, Sep 10 2023
| 2023-09-11T15:52:48 |
oeisdata/seq/A365/A365457.seq
|
f8a4f54b9b60eda6ee3203813edef270
|
A365458
|
The largest power of 3 that is less than or equal to n.
|
[
"1",
"1",
"3",
"3",
"3",
"3",
"3",
"3",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"9",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"27",
"81",
"81",
"81",
"81",
"81"
] |
[
"nonn"
] | 22 | 1 | 3 |
[
"A000244",
"A062153",
"A064235",
"A080342",
"A365458",
"A365459"
] | null |
Antti Karttunen, Sep 17 2023
| 2023-09-17T18:27:42 |
oeisdata/seq/A365/A365458.seq
|
6888f2636f5e3a3bc1efeaf871776784
|
A365459
|
a(n) = n - the largest power of 3 that is less than or equal to n.
|
[
"0",
"1",
"0",
"1",
"2",
"3",
"4",
"5",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7"
] |
[
"nonn"
] | 16 | 1 | 5 |
[
"A000244",
"A053735",
"A365458",
"A365459"
] | null |
Antti Karttunen, Sep 17 2023
| 2023-09-17T18:24:25 |
oeisdata/seq/A365/A365459.seq
|
b417bcf0ead185cc24e0d1af35827ad6
|
A365460
|
Number of distinct primorials in the greedy sum of primorials adding to A181821(n).
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"2",
"2",
"2",
"1",
"3",
"1",
"4",
"1",
"2",
"2",
"3",
"1",
"2",
"2",
"2",
"2",
"3",
"2",
"4",
"1",
"3",
"3",
"2",
"1",
"5",
"3",
"3",
"1",
"3",
"2",
"3",
"2",
"2",
"3",
"5",
"1",
"3",
"2",
"3",
"2",
"5",
"2",
"2",
"1",
"3",
"4",
"5",
"2",
"5",
"4",
"3",
"1",
"3",
"2",
"6",
"2",
"4",
"2",
"6",
"1",
"6",
"4",
"3",
"3",
"4",
"3",
"6",
"1",
"3",
"3",
"7",
"2",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"3",
"4",
"4",
"4",
"1",
"6",
"3",
"3",
"2",
"6",
"3",
"7",
"2",
"3"
] |
[
"nonn"
] | 9 | 1 | 5 |
[
"A122111",
"A181821",
"A267263",
"A329040",
"A365460",
"A365461"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-15T18:53:25 |
oeisdata/seq/A365/A365460.seq
|
9ee7c16eb35be1bea4aceb9be29ccf5c
|
A365461
|
Sum of digits when A181821(n) is written in primorial base (A049345).
|
[
"1",
"1",
"2",
"1",
"2",
"2",
"4",
"1",
"2",
"4",
"2",
"2",
"4",
"4",
"4",
"1",
"6",
"6",
"6",
"4",
"8",
"4",
"6",
"2",
"2",
"8",
"6",
"2",
"12",
"6",
"16",
"1",
"6",
"10",
"4",
"6",
"16",
"10",
"8",
"4",
"10",
"6",
"10",
"4",
"12",
"10",
"6",
"2",
"8",
"6",
"10",
"8",
"12",
"10",
"8",
"8",
"20",
"10",
"18",
"2",
"26",
"14",
"8",
"1",
"12",
"12",
"22",
"10",
"20",
"12",
"28",
"6",
"28",
"14",
"10",
"10",
"6",
"8",
"34",
"4",
"8",
"18",
"38",
"4",
"10",
"14",
"20",
"6",
"52",
"10",
"12",
"10",
"24"
] |
[
"nonn"
] | 9 | 1 | 3 |
[
"A002110",
"A049345",
"A122111",
"A181821",
"A276150",
"A324888",
"A365460",
"A365461"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-15T18:53:29 |
oeisdata/seq/A365/A365461.seq
|
bc9d24b5a2d9ceff90434553ae6f73da
|
A365462
|
a(n) = A356867(n) - n.
|
[
"0",
"0",
"0",
"1",
"-1",
"0",
"3",
"0",
"0",
"-3",
"3",
"3",
"12",
"6",
"-3",
"34",
"-1",
"0",
"16",
"8",
"9",
"103",
"17",
"0",
"75",
"6",
"0",
"-17",
"-7",
"-9",
"24",
"12",
"9",
"36",
"21",
"9",
"12",
"60",
"36",
"135",
"99",
"18",
"207",
"36",
"-9",
"199",
"149",
"102",
"576",
"150",
"-3",
"448",
"11",
"0",
"22",
"54",
"48",
"217",
"29",
"24",
"289",
"50",
"27",
"279",
"425",
"309",
"808",
"212",
"51",
"1180",
"89",
"0",
"1152",
"318",
"225",
"3049",
"323",
"18"
] |
[
"sign"
] | 10 | 1 | 7 |
[
"A356867",
"A364499",
"A364958",
"A365462",
"A365463"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-15T23:09:09 |
oeisdata/seq/A365/A365462.seq
|
6151dd56350a9b1b6bb02b398348f13e
|
A365463
|
a(n) = gcd(n, A356867(n)), where A356867 is Sycamore's Doudna variant D(3).
|
[
"1",
"2",
"3",
"1",
"1",
"6",
"1",
"8",
"9",
"1",
"1",
"3",
"1",
"2",
"3",
"2",
"1",
"18",
"1",
"4",
"3",
"1",
"1",
"24",
"25",
"2",
"27",
"1",
"1",
"3",
"1",
"4",
"3",
"2",
"7",
"9",
"1",
"2",
"3",
"5",
"1",
"6",
"1",
"4",
"9",
"1",
"1",
"6",
"1",
"50",
"3",
"4",
"1",
"54",
"11",
"2",
"3",
"1",
"1",
"12",
"1",
"2",
"9",
"1",
"5",
"3",
"1",
"4",
"3",
"10",
"1",
"72",
"1",
"2",
"75",
"1",
"1",
"6",
"1",
"16",
"81",
"1",
"1",
"3",
"5",
"2",
"3",
"2",
"1",
"9",
"91",
"2",
"3",
"1",
"5",
"12",
"1",
"2",
"9",
"5",
"1",
"6",
"1",
"8",
"21"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A007949",
"A356867",
"A364500",
"A364957",
"A365462",
"A365463",
"A365464",
"A365465"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-17T10:06:44 |
oeisdata/seq/A365/A365463.seq
|
5de7778ed753c161ff2c59dbfec22274
|
A365464
|
a(n) = n / gcd(n, A356867(n)).
|
[
"1",
"1",
"1",
"4",
"5",
"1",
"7",
"1",
"1",
"10",
"11",
"4",
"13",
"7",
"5",
"8",
"17",
"1",
"19",
"5",
"7",
"22",
"23",
"1",
"1",
"13",
"1",
"28",
"29",
"10",
"31",
"8",
"11",
"17",
"5",
"4",
"37",
"19",
"13",
"8",
"41",
"7",
"43",
"11",
"5",
"46",
"47",
"8",
"49",
"1",
"17",
"13",
"53",
"1",
"5",
"28",
"19",
"58",
"59",
"5",
"61",
"31",
"7",
"64",
"13",
"22",
"67",
"17",
"23",
"7",
"71",
"1",
"73",
"37",
"1",
"76",
"77",
"13",
"79",
"5",
"1",
"82",
"83",
"28",
"17",
"43",
"29",
"44",
"89",
"10"
] |
[
"nonn",
"frac"
] | 8 | 1 | 4 |
[
"A356867",
"A364501",
"A365462",
"A365463",
"A365464",
"A365465"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-15T23:09:17 |
oeisdata/seq/A365/A365464.seq
|
5586cf53488bde84066d6bdbd95fec5d
|
A365465
|
a(n) = A356867(n) / gcd(n, A356867(n)).
|
[
"1",
"1",
"1",
"5",
"4",
"1",
"10",
"1",
"1",
"7",
"14",
"5",
"25",
"10",
"4",
"25",
"16",
"1",
"35",
"7",
"10",
"125",
"40",
"1",
"4",
"16",
"1",
"11",
"22",
"7",
"55",
"11",
"14",
"35",
"8",
"5",
"49",
"49",
"25",
"35",
"140",
"10",
"250",
"20",
"4",
"245",
"196",
"25",
"625",
"4",
"16",
"125",
"64",
"1",
"7",
"55",
"35",
"275",
"88",
"7",
"350",
"56",
"10",
"343",
"98",
"125",
"875",
"70",
"40",
"125",
"160",
"1",
"1225",
"196",
"4",
"3125",
"400",
"16",
"1000",
"8",
"1",
"13",
"26"
] |
[
"nonn"
] | 8 | 1 | 4 |
[
"A356867",
"A364502",
"A365462",
"A365463",
"A365464",
"A365465"
] | null |
Antti Karttunen, Sep 15 2023
| 2023-09-15T23:09:21 |
oeisdata/seq/A365/A365465.seq
|
ce981b4935098e7f08ecddc53d531d87
|
A365466
|
Lexicographically earliest infinite sequence such that a(i) = a(j) => A336466(i) = A336466(j) and A336466(A163511(i)) = A336466(A163511(j)) for all i, j >= 1, where A336466 is fully multiplicative with a(p) = oddpart(p-1) for any prime p.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"2",
"4",
"1",
"1",
"1",
"5",
"1",
"2",
"3",
"6",
"1",
"1",
"2",
"4",
"2",
"7",
"4",
"8",
"1",
"3",
"1",
"2",
"1",
"5",
"5",
"9",
"1",
"3",
"2",
"10",
"3",
"11",
"6",
"12",
"1",
"5",
"1",
"4",
"2",
"13",
"4",
"14",
"2",
"15",
"7",
"16",
"4",
"8",
"8",
"17",
"1",
"2",
"3",
"18",
"1",
"19",
"2",
"20",
"1",
"5",
"5",
"21",
"5",
"22",
"9",
"23",
"1",
"1",
"3",
"24",
"2",
"11",
"10",
"25",
"3",
"6",
"11",
"26",
"6",
"27",
"12",
"28",
"1",
"2",
"5"
] |
[
"nonn"
] | 9 | 1 | 7 |
[
"A000265",
"A003602",
"A163511",
"A336466",
"A365426",
"A365466",
"A365467"
] | null |
Antti Karttunen, Sep 04 2023
| 2023-09-04T18:23:44 |
oeisdata/seq/A365/A365466.seq
|
23592805936a99e5ceacbd1a6559e883
|
A365467
|
Lexicographically earliest infinite sequence such that a(i) = a(j) => A336467(i) = A336467(j) and A336467(A163511(i)) = A336467(A163511(j)) for all i, j >= 1, where A336467 is fully multiplicative with a(2) = 1 and a(p) = oddpart(p+1) for odd primes p.
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"2",
"4",
"1",
"5",
"3",
"2",
"1",
"6",
"1",
"7",
"2",
"8",
"4",
"2",
"1",
"9",
"5",
"3",
"3",
"10",
"2",
"3",
"1",
"2",
"6",
"11",
"1",
"12",
"7",
"13",
"2",
"14",
"8",
"15",
"4",
"2",
"2",
"4",
"1",
"3",
"9",
"16",
"5",
"17",
"3",
"9",
"3",
"18",
"10",
"19",
"2",
"20",
"3",
"21",
"1",
"22",
"2",
"23",
"6",
"11",
"11",
"6",
"1",
"24",
"12",
"9",
"7",
"2",
"13",
"7",
"2",
"8",
"14",
"14",
"8",
"17",
"15",
"19",
"4",
"25",
"2",
"26",
"2",
"8",
"4",
"27",
"1",
"28",
"3"
] |
[
"nonn"
] | 8 | 1 | 5 |
[
"A000265",
"A003602",
"A163511",
"A336467",
"A365427",
"A365466",
"A365467"
] | null |
Antti Karttunen, Sep 04 2023
| 2023-09-04T18:23:48 |
oeisdata/seq/A365/A365467.seq
|
37f81f545736c6b6d7b3fa4424b26ba4
|
A365468
|
Number of n X n nonnegative integer arrays with upper left entry 0, lower right entry n - 5, every value within 4 of its king-move distance from the upper left, and every value increasing by 0 or 1 with every step right, diagonally southeast, or down.
|
[
"0",
"0",
"0",
"0",
"1",
"251",
"35176",
"4105312",
"466029138",
"54944041476",
"6886218018445",
"920364154307990",
"130498580283240363",
"19482086451147555715",
"3039784702880850466554",
"492560752706827973431360",
"82451674043232981553367317",
"14196926753609833253834234271"
] |
[
"nonn"
] | 17 | 1 | 6 |
[
"A252998",
"A253026",
"A253217",
"A365468"
] | null |
Robert Dougherty-Bliss, Sep 04 2023
| 2023-09-05T16:56:30 |
oeisdata/seq/A365/A365468.seq
|
8efdf88ed638d23b4407b89b12a52eed
|
A365469
|
Number of n X n nonnegative integer arrays with upper left entry 0, lower right entry n - 6, every value within 5 of its king-move distance from the upper left, and every value increasing by 0 or 1 with every step right, diagonally southeast, or down.
|
[
"0",
"0",
"0",
"0",
"0",
"1",
"923",
"414638",
"141905658",
"44926520946",
"14490345222595",
"4982468227997168",
"1856518533812384105",
"750167381136816327009",
"326628155352701098746754",
"151933161224857150407326456",
"74864085012461648054019799968",
"38785037369022058785365519932029"
] |
[
"nonn"
] | 20 | 1 | 7 |
[
"A252998",
"A253026",
"A253217",
"A365469"
] | null |
Robert Dougherty-Bliss, Sep 04 2023
| 2023-09-05T16:56:15 |
oeisdata/seq/A365/A365469.seq
|
2c4616f21368cbafcd100cbb2c525176
|
A365470
|
(2,6)-imperfect numbers.
|
[
"6",
"12",
"24",
"30",
"60",
"120",
"252",
"384",
"510",
"864",
"1020",
"1260",
"1920",
"2040",
"2640",
"5418",
"12960",
"21420",
"21672",
"32640",
"75852",
"98304",
"108864",
"131070",
"262140",
"346752",
"379260",
"491520",
"524280",
"1982988",
"2296728",
"5504940",
"6447420",
"8355840",
"8388480",
"36747648",
"39009600",
"57024000"
] |
[
"nonn"
] | 37 | 1 | 1 |
[
"A008588",
"A127725",
"A206367",
"A206369",
"A365470"
] | null |
Michel Marcus, Sep 11 2023
| 2023-09-19T01:44:05 |
oeisdata/seq/A365/A365470.seq
|
775ddda2d7330bd9692625b0cb1edb1d
|
A365471
|
Numbers whose digits are not all primes.
|
[
"0",
"1",
"4",
"6",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"24",
"26",
"28",
"29",
"30",
"31",
"34",
"36",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"54",
"56",
"58",
"59",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"69",
"70",
"71",
"74",
"76",
"78",
"79",
"80",
"81",
"82",
"83",
"84",
"85",
"86"
] |
[
"base",
"nonn"
] | 18 | 1 | 3 |
[
"A046034",
"A084984",
"A365471",
"A365589"
] | null |
James C. McMahon, Sep 11 2023
| 2023-12-22T13:49:33 |
oeisdata/seq/A365/A365471.seq
|
bd02f9a2a25a53c581eb7a466ccf5f6a
|
A365472
|
Numbers whose digits are either all primes or all nonprimes.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"14",
"16",
"18",
"19",
"22",
"23",
"25",
"27",
"32",
"33",
"35",
"37",
"40",
"41",
"44",
"46",
"48",
"49",
"52",
"53",
"55",
"57",
"60",
"61",
"64",
"66",
"68",
"69",
"72",
"73",
"75",
"77",
"80",
"81",
"84",
"86",
"88",
"89",
"90",
"91",
"94",
"96",
"98",
"99",
"100",
"101",
"104",
"106",
"108",
"109",
"110",
"111",
"114"
] |
[
"nonn",
"base"
] | 17 | 1 | 3 |
[
"A046034",
"A084984",
"A365472",
"A365589"
] | null |
James C. McMahon, Sep 11 2023
| 2023-10-08T09:55:17 |
oeisdata/seq/A365/A365472.seq
|
68f96ddc534862d326265100d7c0cf1f
|
A365473
|
Odd semiprimes p*q such that A000120(p)*A000120(q) = A000120(p*q).
|
[
"15",
"51",
"85",
"95",
"111",
"119",
"123",
"187",
"219",
"221",
"335",
"365",
"411",
"447",
"485",
"511",
"629",
"655",
"685",
"697",
"771",
"831",
"879",
"959",
"965",
"1011",
"1139",
"1241",
"1285",
"1405",
"1535",
"1563",
"1649",
"1731",
"1779",
"1799",
"1923",
"1983",
"2005",
"2019",
"2031",
"2045",
"2227",
"2605",
"2735",
"2815",
"2827",
"2885",
"3099",
"3183",
"3279",
"3281",
"3291",
"3327"
] |
[
"nonn",
"base"
] | 14 | 1 | 1 |
[
"A000120",
"A001358",
"A235040",
"A365451",
"A365473",
"A365475"
] | null |
Robert Israel, Sep 04 2023
| 2023-09-07T12:47:47 |
oeisdata/seq/A365/A365473.seq
|
000e95c3c473cd070181c9c6da9d7f33
|
A365474
|
a(n) = A365339(10^n).
|
[
"1",
"7",
"34",
"193",
"1276",
"9656",
"78562",
"664643",
"5761519",
"50847598"
] |
[
"nonn",
"hard",
"more"
] | 21 | 0 | 2 |
[
"A000010",
"A000720",
"A006880",
"A365339",
"A365474"
] | null |
Chai Wah Wu, Sep 04 2023
| 2023-09-06T16:10:43 |
oeisdata/seq/A365/A365474.seq
|
20428591cfbac870a87b24d9bf024c4b
|
A365475
|
a(n) is the first odd prime p such that A000120((2^n-1)*p) = n * A000120(p).
|
[
"3",
"5",
"17",
"17",
"257",
"257",
"257",
"257",
"65537",
"65537",
"65537",
"65537",
"65537",
"65537",
"65537",
"65537",
"4398054899713",
"4398054899713",
"4398054899713",
"1125899915231233",
"1125899915231233",
"1125899915231233",
"1125899915231233",
"2251799847239681",
"2251799847239681",
"1152921513196781569",
"1152921513196781569"
] |
[
"nonn",
"base"
] | 7 | 1 | 1 |
[
"A000120",
"A365475"
] | null |
Robert Israel, Sep 04 2023
| 2023-09-04T12:26:45 |
oeisdata/seq/A365/A365475.seq
|
d441aada45c79298cb880176ba256fa2
|
A365476
|
a(n) is the minimum of A000120(k)*A000120(A071904(n)/k) for divisors k of the n-th odd composite number A071904(n) other than 1 and A071904(n).
|
[
"4",
"4",
"6",
"4",
"4",
"6",
"6",
"6",
"4",
"9",
"4",
"6",
"6",
"6",
"6",
"8",
"6",
"9",
"4",
"4",
"8",
"9",
"10",
"6",
"4",
"6",
"6",
"8",
"6",
"6",
"9",
"6",
"6",
"8",
"9",
"8",
"10",
"9",
"8",
"6",
"4",
"10",
"8",
"12",
"4",
"9",
"6",
"6",
"10",
"10",
"6",
"6",
"6",
"4",
"6",
"12",
"6",
"6",
"9",
"8",
"8",
"15",
"6",
"6",
"6",
"6",
"10",
"10",
"6",
"6",
"9",
"8",
"12",
"8",
"9",
"8",
"8",
"8",
"9",
"9",
"10",
"8",
"9",
"4",
"6",
"10",
"4",
"12",
"12",
"8",
"10",
"10",
"6"
] |
[
"nonn",
"base"
] | 21 | 1 | 1 |
[
"A000051",
"A000120",
"A071904",
"A349494",
"A365476"
] | null |
Robert Israel, Sep 04 2023
| 2024-08-02T12:05:00 |
oeisdata/seq/A365/A365476.seq
|
1605506cbc4719041761c8e0faf67f4e
|
A365477
|
The number of steps before reaching 1 or a repeated value, or -1 if neither occur, when starting at k = n and iterating k -> k/Lpf(k) - 1 if Omega(k) is even, else k -> k*Lpf(k) + 1, where Lpf(k) (A020639) is the least prime dividing k and Omega(k) (A001222) is the number of prime divisors of k counted with multiplicity.
|
[
"0",
"6",
"3",
"1",
"5",
"7",
"90",
"94",
"7",
"2",
"99",
"3",
"105",
"8",
"2",
"90",
"93",
"90",
"90",
"104",
"8",
"3",
"11",
"100",
"2",
"4",
"91",
"92",
"96",
"102",
"114",
"5",
"3",
"91",
"8",
"94",
"90",
"91",
"4",
"90",
"103",
"90",
"94",
"22",
"100",
"4",
"96"
] |
[
"nonn",
"more"
] | 32 | 1 | 2 |
[
"A001222",
"A006577",
"A020639",
"A027746",
"A027748",
"A365477"
] | null |
Scott R. Shannon, Sep 05 2023
| 2023-09-16T01:57:32 |
oeisdata/seq/A365/A365477.seq
|
fe8b04fde38a4966196907b043e933e3
|
A365478
|
In the Collatz problem, largest value in the trajectory of n in the 3x+1 function (denoted by T(x) in the literature, and defined as T(x) = (3x+1)/2 if x is odd, T(x) = x/2 if x is even), or -1 if the trajectory is divergent.
|
[
"1",
"2",
"8",
"4",
"8",
"8",
"26",
"8",
"26",
"10",
"26",
"12",
"20",
"26",
"80",
"16",
"26",
"26",
"44",
"20",
"32",
"26",
"80",
"24",
"44",
"26",
"4616",
"28",
"44",
"80",
"4616",
"32",
"50",
"34",
"80",
"36",
"56",
"44",
"152",
"40",
"4616",
"42",
"98",
"44",
"68",
"80",
"4616",
"48",
"74",
"50",
"116",
"52",
"80",
"4616",
"4616",
"56",
"98",
"58",
"152",
"80",
"92",
"4616",
"4616"
] |
[
"nonn"
] | 35 | 1 | 2 |
[
"A014682",
"A025586",
"A166245",
"A365478"
] | null |
Paolo Xausa, Sep 05 2023
| 2023-09-25T18:22:33 |
oeisdata/seq/A365/A365478.seq
|
1f818e8470225742705c325631fb6179
|
A365479
|
The sum of unitary divisors of the smallest square divisible by n.
|
[
"1",
"5",
"10",
"5",
"26",
"50",
"50",
"17",
"10",
"130",
"122",
"50",
"170",
"250",
"260",
"17",
"290",
"50",
"362",
"130",
"500",
"610",
"530",
"170",
"26",
"850",
"82",
"250",
"842",
"1300",
"962",
"65",
"1220",
"1450",
"1300",
"50",
"1370",
"1810",
"1700",
"442",
"1682",
"2500",
"1850",
"610",
"260",
"2650",
"2210",
"170",
"50",
"130",
"2900",
"850",
"2810",
"410"
] |
[
"nonn",
"easy",
"mult"
] | 12 | 1 | 2 |
[
"A002117",
"A034444",
"A034448",
"A053143",
"A365346",
"A365479",
"A365480",
"A365481"
] | null |
Amiram Eldar, Sep 05 2023
| 2023-09-06T01:10:03 |
oeisdata/seq/A365/A365479.seq
|
3a3cc600a8c0b7048e112fbe69bc65f0
|
A365480
|
The sum of unitary divisors of the smallest exponentially odd number that is divisible by n.
|
[
"1",
"3",
"4",
"9",
"6",
"12",
"8",
"9",
"28",
"18",
"12",
"36",
"14",
"24",
"24",
"33",
"18",
"84",
"20",
"54",
"32",
"36",
"24",
"36",
"126",
"42",
"28",
"72",
"30",
"72",
"32",
"33",
"48",
"54",
"48",
"252",
"38",
"60",
"56",
"54",
"42",
"96",
"44",
"108",
"168",
"72",
"48",
"132",
"344",
"378",
"72",
"126",
"54",
"84",
"72",
"72",
"80",
"90",
"60",
"216",
"62",
"96",
"224",
"129",
"84"
] |
[
"nonn",
"easy",
"mult"
] | 12 | 1 | 2 |
[
"A034444",
"A034448",
"A356191",
"A365349",
"A365479",
"A365480",
"A365481"
] | null |
Amiram Eldar, Sep 05 2023
| 2023-09-06T01:24:07 |
oeisdata/seq/A365/A365480.seq
|
459125c908687f0746de548bf432d3af
|
A365481
|
The sum of unitary divisors of the smallest number whose square is divisible by n.
|
[
"1",
"3",
"4",
"3",
"6",
"12",
"8",
"5",
"4",
"18",
"12",
"12",
"14",
"24",
"24",
"5",
"18",
"12",
"20",
"18",
"32",
"36",
"24",
"20",
"6",
"42",
"10",
"24",
"30",
"72",
"32",
"9",
"48",
"54",
"48",
"12",
"38",
"60",
"56",
"30",
"42",
"96",
"44",
"36",
"24",
"72",
"48",
"20",
"8",
"18",
"72",
"42",
"54",
"30",
"72",
"40",
"80",
"90",
"60",
"72",
"62",
"96",
"32",
"9",
"84",
"144",
"68",
"54",
"96"
] |
[
"nonn",
"easy",
"mult"
] | 13 | 1 | 2 |
[
"A002117",
"A013661",
"A019554",
"A034444",
"A034448",
"A365347",
"A365479",
"A365480",
"A365481"
] | null |
Amiram Eldar, Sep 05 2023
| 2023-09-05T19:13:24 |
oeisdata/seq/A365/A365481.seq
|
e67c4aa7f8343e1d5c0c149eb509f296
|
A365482
|
In the Collatz (3x+1) problem, values in A006884 for which the maximum excursion ratio (see comments) is greater than 2.
|
[
"27",
"319804831",
"1410123943",
"3716509988199",
"9016346070511",
"1254251874774375",
"10709980568908647",
"1980976057694848447"
] |
[
"nonn",
"hard",
"more"
] | 26 | 1 | 1 |
[
"A006884",
"A014682",
"A365478",
"A365482",
"A365483"
] | null |
Paolo Xausa, Sep 05 2023
| 2023-10-08T21:17:51 |
oeisdata/seq/A365/A365482.seq
|
7677156a9984f9d4411187cfb2feda80
|
A365483
|
In the Collatz (3x+1) problem, maximum excursion values corresponding to the starting points given by A365482.
|
[
"4616",
"707118223359971240",
"3562942561397226080",
"103968231672274974522437732",
"126114763591721667597212096",
"1823036311464280263720932141024",
"175294593968539094415936960141122",
"32012333661096566765082938647132369010"
] |
[
"nonn",
"hard",
"more"
] | 12 | 1 | 1 |
[
"A060410",
"A365478",
"A365482",
"A365483"
] | null |
Paolo Xausa, Sep 05 2023
| 2023-09-25T09:03:38 |
oeisdata/seq/A365/A365483.seq
|
bd9b6e77494f2a05483b41c725879fb2
|
A365484
|
Square array read by ascending antidiagonals: T(n,k) is the k-th iterate of the 3x+1 function started at n, with n >= 1 and k >= 0.
|
[
"1",
"2",
"2",
"3",
"1",
"1",
"4",
"5",
"2",
"2",
"5",
"2",
"8",
"1",
"1",
"6",
"8",
"1",
"4",
"2",
"2",
"7",
"3",
"4",
"2",
"2",
"1",
"1",
"8",
"11",
"5",
"2",
"1",
"1",
"2",
"2",
"9",
"4",
"17",
"8",
"1",
"2",
"2",
"1",
"1",
"10",
"14",
"2",
"26",
"4",
"2",
"1",
"1",
"2",
"2",
"11",
"5",
"7",
"1",
"13",
"2",
"1",
"2",
"2",
"1",
"1",
"12",
"17",
"8",
"11",
"2",
"20",
"1",
"2",
"1",
"1",
"2",
"2",
"13",
"6",
"26",
"4",
"17",
"1",
"10",
"2",
"1",
"2",
"2",
"1",
"1"
] |
[
"nonn",
"easy",
"tabl"
] | 25 | 1 | 2 |
[
"A014682",
"A347270",
"A365484",
"A365495",
"A365991",
"A368300"
] | null |
Paolo Xausa, Sep 06 2023
| 2023-12-21T05:25:18 |
oeisdata/seq/A365/A365484.seq
|
1a6ee0c080649c6da3c915375f45ad51
|
A365485
|
a(n) = A365399(10^n).
|
[
"1",
"7",
"39",
"298",
"2615",
"23438",
"225682",
"2229674",
"21903726"
] |
[
"nonn",
"hard",
"more"
] | 7 | 0 | 2 |
[
"A000005",
"A365399",
"A365485"
] | null |
Chai Wah Wu, Sep 05 2023
| 2023-09-06T14:58:28 |
oeisdata/seq/A365/A365485.seq
|
4cb7e9916571b69b886e7de32063f866
|
A365486
|
a(n) is equal to the number of black 1 X 1 X 1 cubes in a certain coloring of the n X n X n cube (see comments for precise definition).
|
[
"1",
"8",
"7",
"32",
"57",
"112",
"159",
"256",
"353",
"504",
"647",
"864",
"1081",
"1376",
"1663",
"2048",
"2433",
"2920",
"3399",
"4000",
"4601",
"5328",
"6047",
"6912",
"7777",
"8792",
"9799",
"10976",
"12153",
"13504",
"14847",
"16384",
"17921",
"19656",
"21383",
"23328",
"25273",
"27440",
"29599",
"32000",
"34401",
"37048",
"39687"
] |
[
"nonn",
"easy"
] | 24 | 1 | 2 |
[
"A266725",
"A365486"
] | null |
Nicolay Avilov, Sep 05 2023
| 2023-10-02T22:26:14 |
oeisdata/seq/A365/A365486.seq
|
9878a09a31c63231dff3de0801301288
|
A365487
|
The number of divisors of the largest cube dividing n.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"7",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"4",
"4",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn",
"easy",
"mult"
] | 8 | 1 | 8 |
[
"A000005",
"A000578",
"A004709",
"A008834",
"A053150",
"A061704",
"A365487"
] | null |
Amiram Eldar, Sep 05 2023
| 2023-09-06T01:22:28 |
oeisdata/seq/A365/A365487.seq
|
29553bacca006646eda2f66e1508be50
|
A365488
|
The number of divisors of the smallest number whose cube is divisible by n.
|
[
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"4",
"2",
"4",
"2",
"4",
"4",
"3",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"4",
"2",
"4",
"2",
"4",
"2",
"8",
"2",
"3",
"4",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"4",
"2",
"6",
"2",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"3",
"4",
"8",
"2",
"4",
"4",
"8",
"2",
"4",
"2",
"4",
"4",
"4",
"4",
"8",
"2",
"6",
"3",
"4",
"2",
"8",
"4",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 17 | 1 | 2 |
[
"A000005",
"A005117",
"A019555",
"A053149",
"A365171",
"A365488",
"A365489",
"A365498"
] | null |
Amiram Eldar, Sep 05 2023
| 2024-09-15T12:32:36 |
oeisdata/seq/A365/A365488.seq
|
df7a42d1fbc6584908a5d0cb7529b96c
|
A365489
|
The number of divisors of the smallest cube divisible by n.
|
[
"1",
"4",
"4",
"4",
"4",
"16",
"4",
"4",
"4",
"16",
"4",
"16",
"4",
"16",
"16",
"7",
"4",
"16",
"4",
"16",
"16",
"16",
"4",
"16",
"4",
"16",
"4",
"16",
"4",
"64",
"4",
"7",
"16",
"16",
"16",
"16",
"4",
"16",
"16",
"16",
"4",
"64",
"4",
"16",
"16",
"16",
"4",
"28",
"4",
"16",
"16",
"16",
"4",
"16",
"16",
"16",
"16",
"16",
"4",
"64",
"4",
"16",
"16",
"7",
"16",
"64",
"4",
"16",
"16",
"64",
"4",
"16",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 10 | 1 | 2 |
[
"A000005",
"A019555",
"A053149",
"A365345",
"A365488",
"A365489"
] | null |
Amiram Eldar, Sep 05 2023
| 2025-04-20T08:50:49 |
oeisdata/seq/A365/A365489.seq
|
1b9107e6c6f32588f8736c0ece6ca52c
|
A365490
|
The number of divisors of the largest 4th power dividing n.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"5",
"5",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn",
"easy",
"mult"
] | 12 | 1 | 16 |
[
"A000005",
"A000583",
"A008835",
"A046100",
"A053164",
"A063775",
"A365490"
] | null |
Amiram Eldar, Sep 05 2023
| 2024-08-08T14:28:08 |
oeisdata/seq/A365/A365490.seq
|
7bab46018b28e5c3d0bb7c377e878cbd
|
A365491
|
The number of divisors of the smallest number whose 4th power is divisible by n.
|
[
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"4",
"2",
"4",
"2",
"4",
"4",
"2",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"4",
"2",
"4",
"2",
"4",
"2",
"8",
"2",
"3",
"4",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"4",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"3",
"4",
"8",
"2",
"4",
"4",
"8",
"2",
"4",
"2",
"4",
"4",
"4",
"4",
"8",
"2",
"4",
"2",
"4",
"2",
"8",
"4",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 20 | 1 | 2 |
[
"A000005",
"A001620",
"A005117",
"A019554",
"A034444",
"A053166",
"A053167",
"A322483",
"A365210",
"A365491",
"A365492",
"A365499"
] | null |
Amiram Eldar, Sep 05 2023
| 2024-07-09T16:52:46 |
oeisdata/seq/A365/A365491.seq
|
c1a1ac2c14124f7006e68f9f6a6578c4
|
A365492
|
The number of divisors of the smallest 4th power divisible by n.
|
[
"1",
"5",
"5",
"5",
"5",
"25",
"5",
"5",
"5",
"25",
"5",
"25",
"5",
"25",
"25",
"5",
"5",
"25",
"5",
"25",
"25",
"25",
"5",
"25",
"5",
"25",
"5",
"25",
"5",
"125",
"5",
"9",
"25",
"25",
"25",
"25",
"5",
"25",
"25",
"25",
"5",
"125",
"5",
"25",
"25",
"25",
"5",
"25",
"5",
"25",
"25",
"25",
"5",
"25",
"25",
"25",
"25",
"25",
"5",
"125",
"5",
"25",
"25",
"9",
"25",
"125",
"5",
"25",
"25",
"125",
"5",
"25"
] |
[
"nonn",
"easy",
"mult"
] | 7 | 1 | 2 |
[
"A000005",
"A053166",
"A053167",
"A082476",
"A365491",
"A365492"
] | null |
Amiram Eldar, Sep 05 2023
| 2023-09-06T01:16:43 |
oeisdata/seq/A365/A365492.seq
|
24c9e06f9b9c31dbbbfc5c33427762a5
|
A365493
|
a(n) is the smallest number which can be represented as the sum of n n-almost primes in exactly n ways, or -1 if no such number exists.
|
[
"2",
"18",
"44",
"112",
"418",
"776",
"1408",
"3072",
"7040",
"14848",
"53056",
"77312",
"147456",
"315392",
"988160",
"5310464",
"3194880",
"6225920",
"12845056",
"46252032",
"76873728",
"117440512",
"258998272",
"1072824320",
"1111490560",
"3379560448",
"5192548352",
"9261023232",
"24243077120",
"41204842496",
"81067507712"
] |
[
"nonn"
] | 24 | 1 | 1 |
[
"A091538",
"A365493",
"A365494"
] | null |
Ilya Gutkovskiy, Sep 07 2023
| 2025-06-12T14:30:17 |
oeisdata/seq/A365/A365493.seq
|
47e738f2dd979445dd86936178daf9fa
|
A365494
|
a(n) is the smallest number which can be represented as the sum of n distinct n-almost primes in exactly n ways, or -1 if no such number exists.
|
[
"2",
"19",
"65",
"190",
"440",
"1160",
"2896",
"7072",
"16832",
"40064",
"90752",
"208640",
"476160",
"1082880",
"2398208",
"5310464",
"11694080",
"25616384",
"56475648",
"122388480",
"266010624",
"575012864",
"1245446144",
"2699034624",
"5779750912",
"12296650752",
"26377977856",
"55855546368",
"118656860160",
"255458279424",
"531669975040"
] |
[
"nonn"
] | 27 | 1 | 1 |
[
"A091538",
"A365493",
"A365494"
] | null |
Ilya Gutkovskiy, Sep 07 2023
| 2025-06-11T01:01:29 |
oeisdata/seq/A365/A365494.seq
|
a282f1245c25d93210c4e4f3c6847309
|
A365495
|
Square array read by ascending antidiagonals: T(n,k) is the parity of the k-th iterate of the 3x+1 function started at n, with n >= 1 and k >= 0.
|
[
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"1"
] |
[
"nonn",
"easy",
"tabl"
] | 35 | 1 | null |
[
"A014682",
"A347283",
"A365484",
"A365495",
"A365992",
"A371689"
] | null |
Paolo Xausa, Sep 06 2023
| 2024-04-04T12:52:33 |
oeisdata/seq/A365/A365495.seq
|
cae7c1d17cadc71a2d5aac083ed16b1d
|
A365496
|
Number of connected induced (non-null) subgraphs of the n-Lucas cube graph.
|
[
"1",
"6",
"11",
"61",
"664",
"63663",
"109753135"
] |
[
"nonn",
"more"
] | 6 | 1 | 2 | null | null |
Eric W. Weisstein, Sep 06 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A365/A365496.seq
|
f872ad8c0c154b5250c88210a61a05fa
|
A365497
|
Number of connected induced (non-null) subgraphs of the n-Pell graph.
|
[
"1",
"3",
"21",
"1473",
"123121657"
] |
[
"nonn",
"more"
] | 6 | 0 | 2 | null | null |
Eric W. Weisstein, Sep 06 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A365/A365497.seq
|
2408ecbe6e89688be2d6db4270168d83
|
A365498
|
Dirichlet g.f.: zeta(s) * Product_{p prime} (1 + 1/p^s - 1/p^(3*s)).
|
[
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"1",
"2",
"4",
"2",
"4",
"2",
"4",
"4",
"1",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"2",
"2",
"4",
"1",
"4",
"2",
"8",
"2",
"1",
"4",
"4",
"4",
"4",
"2",
"4",
"4",
"2",
"2",
"8",
"2",
"4",
"4",
"4",
"2",
"2",
"2",
"4",
"4",
"4",
"2",
"2",
"4",
"2",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"1",
"4",
"8",
"2",
"4",
"4",
"8",
"2",
"2",
"2",
"4",
"4",
"4",
"4",
"8",
"2",
"2",
"1",
"4",
"2",
"8",
"4",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 26 | 1 | 2 |
[
"A001620",
"A004709",
"A034444",
"A056671",
"A158522",
"A190867",
"A286324",
"A307428",
"A365488",
"A365498",
"A365499",
"A368172",
"A368248",
"A368885",
"A369310"
] | null |
Vaclav Kotesovec, Sep 06 2023
| 2025-01-27T06:50:48 |
oeisdata/seq/A365/A365498.seq
|
c07d544c3696ca46b64c43cd0575da08
|
A365499
|
Dirichlet g.f.: zeta(s) * Product_{p prime} (1 + 1/p^s - 1/p^(4*s)).
|
[
"1",
"2",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"4",
"2",
"4",
"2",
"4",
"4",
"1",
"2",
"4",
"2",
"4",
"4",
"4",
"2",
"4",
"2",
"4",
"2",
"4",
"2",
"8",
"2",
"1",
"4",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"4",
"2",
"2",
"2",
"4",
"4",
"4",
"2",
"4",
"4",
"4",
"4",
"4",
"2",
"8",
"2",
"4",
"4",
"1",
"4",
"8",
"2",
"4",
"4",
"8",
"2",
"4",
"2",
"4",
"4",
"4",
"4",
"8",
"2",
"2",
"1",
"4",
"2",
"8",
"4",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 16 | 1 | 2 |
[
"A001620",
"A046100",
"A056671",
"A365491",
"A365498",
"A365499"
] | null |
Vaclav Kotesovec, Sep 06 2023
| 2023-09-09T05:51:17 |
oeisdata/seq/A365/A365499.seq
|
021ffe8fa8a8a3e0cc455bfb0ede3ee1
|
A365500
|
a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared whose string value contains all the distinct prime factors of a(n-1). Overlapping factor strings is allowed.
|
[
"1",
"2",
"12",
"23",
"123",
"341",
"311",
"1311",
"1923",
"3641",
"3311",
"11437",
"111437",
"237147",
"137577",
"11379",
"3793",
"13793",
"10613",
"106130",
"1061325",
"5389",
"317",
"1317",
"439",
"1439",
"11439",
"3141",
"349",
"1349",
"719",
"1719",
"1913",
"11913",
"1193",
"11193",
"4137",
"1973",
"11973",
"1307",
"11307",
"3769",
"13769",
"2817",
"313",
"1313",
"1013",
"10130"
] |
[
"nonn",
"base"
] | 9 | 1 | 2 |
[
"A027746",
"A027748",
"A064413",
"A365500",
"A365703"
] | null |
Scott R. Shannon, Sep 06 2023
| 2023-09-17T10:06:59 |
oeisdata/seq/A365/A365500.seq
|
1dbe81d096f9661fd63793f638f07cfb
|
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