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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A003501
|
a(n) = 5*a(n-1) - a(n-2), with a(0) = 2, a(1) = 5.
|
[
"2",
"5",
"23",
"110",
"527",
"2525",
"12098",
"57965",
"277727",
"1330670",
"6375623",
"30547445",
"146361602",
"701260565",
"3359941223",
"16098445550",
"77132286527",
"369562987085",
"1770682648898",
"8483850257405",
"40648568638127",
"194758992933230",
"933146396028023",
"4470972987206885"
] |
[
"nonn",
"easy"
] | 90 | 0 | 1 |
[
"A003501",
"A004252",
"A004253",
"A217787"
] |
[
"M1540"
] |
N. J. A. Sloane
| 2022-10-25T16:58:24 |
oeisdata/seq/A003/A003501.seq
|
cb6696998f4557d6e9993639d81d1a5d
|
A003502
|
The smaller of a betrothed pair.
|
[
"48",
"140",
"1050",
"1575",
"2024",
"5775",
"8892",
"9504",
"62744",
"186615",
"196664",
"199760",
"266000",
"312620",
"526575",
"573560",
"587460",
"1000824",
"1081184",
"1139144",
"1140020",
"1173704",
"1208504",
"1233056",
"1236536",
"1279950",
"1921185",
"2036420",
"2102750",
"2140215",
"2171240",
"2198504",
"2312024"
] |
[
"nonn",
"nice"
] | 37 | 1 | 1 |
[
"A000203",
"A003502",
"A003503",
"A005276"
] | null |
Robert G. Wilson v
| 2025-03-10T11:51:12 |
oeisdata/seq/A003/A003502.seq
|
5df56c388f21bf3720c66b5443acfa9b
|
A003503
|
The larger of a betrothed pair.
|
[
"75",
"195",
"1925",
"1648",
"2295",
"6128",
"16587",
"20735",
"75495",
"206504",
"219975",
"309135",
"507759",
"549219",
"544784",
"817479",
"1057595",
"1902215",
"1331967",
"1159095",
"1763019",
"1341495",
"1348935",
"1524831",
"1459143",
"2576945",
"2226014",
"2681019",
"2142945",
"2421704",
"3220119",
"3123735"
] |
[
"nonn",
"nice"
] | 64 | 1 | 1 |
[
"A000203",
"A003502",
"A003503",
"A005276",
"A028982"
] | null |
Robert G. Wilson v
| 2023-09-08T22:52:59 |
oeisdata/seq/A003/A003503.seq
|
9fdd9f4cc64a8164caf2dceabfd047bf
|
A003504
|
a(0)=a(1)=1; thereafter a(n+1) = (1/n)*Sum_{k=0..n} a(k)^2 (a(n) is not always integral!).
|
[
"1",
"1",
"2",
"3",
"5",
"10",
"28",
"154",
"3520",
"1551880",
"267593772160",
"7160642690122633501504",
"4661345794146064133843098964919305264116096",
"1810678717716933442325741630275004084414865420898591223522682022447438928019172629856"
] |
[
"nonn",
"easy",
"nice"
] | 110 | 0 | 3 |
[
"A003504",
"A005166",
"A005167",
"A097398",
"A108394",
"A115632",
"A116603"
] |
[
"M0728"
] |
N. J. A. Sloane, R. K. Guy
| 2025-06-07T08:10:19 |
oeisdata/seq/A003/A003504.seq
|
cbcd82036e662c2c56de62a1b2e4e1bd
|
A003505
|
Number of simple tournaments with n nodes.
|
[
"1",
"1",
"1",
"0",
"3",
"15",
"203",
"3785"
] |
[
"nonn",
"more"
] | 36 | 1 | 5 |
[
"A003505",
"A280772"
] |
[
"M3008"
] |
N. J. A. Sloane
| 2021-12-26T20:44:45 |
oeisdata/seq/A003/A003505.seq
|
f89f59f251f999b04a8d8f687f23bfbf
|
A003506
|
Triangle of denominators in Leibniz's Harmonic Triangle a(n,k), n >= 1, 1 <= k <= n.
|
[
"1",
"2",
"2",
"3",
"6",
"3",
"4",
"12",
"12",
"4",
"5",
"20",
"30",
"20",
"5",
"6",
"30",
"60",
"60",
"30",
"6",
"7",
"42",
"105",
"140",
"105",
"42",
"7",
"8",
"56",
"168",
"280",
"280",
"168",
"56",
"8",
"9",
"72",
"252",
"504",
"630",
"504",
"252",
"72",
"9",
"10",
"90",
"360",
"840",
"1260",
"1260",
"840",
"360",
"90",
"10",
"11",
"110",
"495",
"1320",
"2310",
"2772",
"2310",
"1320",
"495",
"110",
"11"
] |
[
"tabl",
"nonn",
"nice",
"easy"
] | 158 | 1 | 2 |
[
"A000027",
"A001787",
"A002378",
"A002457",
"A003506",
"A007318",
"A007622",
"A027480",
"A027642",
"A033488",
"A090816",
"A094305",
"A116071",
"A119800",
"A121306",
"A121547",
"A128064",
"A164555",
"A174002",
"A215652",
"A253946",
"A356546"
] | null |
N. J. A. Sloane
| 2025-03-15T05:28:18 |
oeisdata/seq/A003/A003506.seq
|
f0c8b3a4bfd1245792a01939116fc51e
|
A003507
|
Number of rigid tournaments with n nodes.
|
[
"1",
"1",
"0",
"0",
"2",
"13",
"199",
"3773"
] |
[
"nonn",
"more",
"changed"
] | 25 | 1 | 5 | null |
[
"M2066"
] |
N. J. A. Sloane
| 2025-07-07T15:39:29 |
oeisdata/seq/A003/A003507.seq
|
3b05439d95849d55d57729004ace719a
|
A003508
|
a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).
|
[
"1",
"2",
"3",
"4",
"7",
"8",
"11",
"12",
"18",
"24",
"30",
"41",
"42",
"55",
"72",
"78",
"97",
"98",
"108",
"114",
"139",
"140",
"155",
"192",
"198",
"215",
"264",
"281",
"282",
"335",
"408",
"431",
"432",
"438",
"517",
"576",
"582",
"685",
"828",
"857",
"858",
"888",
"931",
"958",
"1440",
"1451",
"1452",
"1469",
"1596",
"1628",
"1679",
"1776",
"1819",
"1944"
] |
[
"nonn",
"nice",
"easy"
] | 28 | 1 | 2 |
[
"A003508",
"A027748",
"A096460",
"A105210",
"A105211",
"A105212",
"A105213",
"A105221",
"A105233"
] |
[
"M0580"
] |
N. J. A. Sloane
| 2017-08-18T03:21:00 |
oeisdata/seq/A003/A003508.seq
|
3aa60bf837eb4ddc56d06daccf9e422a
|
A003509
|
Let k(m) denote the least integer such that every m X m (0,1)-matrix with exactly k(m) ones in each row and in each column contains a 2 X 2 submatrix without zeros. The sequence gives the index n of the first term in each string of equal entries in the {k(m)} sequence (see A155934).
|
[
"2",
"3",
"7",
"13",
"21",
"31"
] |
[
"nonn",
"more"
] | 22 | 2 | 1 |
[
"A003509",
"A005991",
"A155934"
] |
[
"M0833"
] |
N. J. A. Sloane
| 2023-10-21T23:30:10 |
oeisdata/seq/A003/A003509.seq
|
598362ffaeb274a623747b6d67302694
|
A003510
|
An equivalence relation on permutations.
|
[
"1",
"1",
"2",
"5",
"17",
"67",
"352",
"1969",
"13295",
"97619",
"848354",
"7647499",
"82862683",
"897904165",
"11226063188",
"146116260203",
"2089038231953",
"30230018309161",
"508450431515290",
"8318618236423861",
"154636109939564681",
"2896102013935844771",
"59056861862689101272",
"1185951158488483248745"
] |
[
"nonn",
"easy",
"nice"
] | 33 | 0 | 3 |
[
"A000010",
"A000142",
"A003510"
] |
[
"M1510"
] |
N. J. A. Sloane
| 2025-01-08T12:07:12 |
oeisdata/seq/A003/A003510.seq
|
e424a202127f63d8298729f94dec27b4
|
A003511
|
A Beatty sequence: floor( n * (1 + sqrt(3))/2 ).
|
[
"1",
"2",
"4",
"5",
"6",
"8",
"9",
"10",
"12",
"13",
"15",
"16",
"17",
"19",
"20",
"21",
"23",
"24",
"25",
"27",
"28",
"30",
"31",
"32",
"34",
"35",
"36",
"38",
"39",
"40",
"42",
"43",
"45",
"46",
"47",
"49",
"50",
"51",
"53",
"54",
"56",
"57",
"58",
"60",
"61",
"62",
"64",
"65",
"66",
"68",
"69",
"71",
"72",
"73",
"75",
"76",
"77",
"79",
"80",
"81",
"83",
"84",
"86",
"87",
"88",
"90",
"91",
"92",
"94",
"95",
"96"
] |
[
"nonn"
] | 41 | 1 | 2 |
[
"A003511",
"A003512"
] |
[
"M0946"
] |
N. J. A. Sloane
| 2025-07-02T16:01:54 |
oeisdata/seq/A003/A003511.seq
|
1facd64aa87b04fa1d98d50addaf1a5f
|
A003512
|
A Beatty sequence: floor(n*(sqrt(3) + 2)).
|
[
"3",
"7",
"11",
"14",
"18",
"22",
"26",
"29",
"33",
"37",
"41",
"44",
"48",
"52",
"55",
"59",
"63",
"67",
"70",
"74",
"78",
"82",
"85",
"89",
"93",
"97",
"100",
"104",
"108",
"111",
"115",
"119",
"123",
"126",
"130",
"134",
"138",
"141",
"145",
"149",
"153",
"156",
"160",
"164",
"167",
"171",
"175",
"179",
"182",
"186"
] |
[
"nonn"
] | 53 | 1 | 1 |
[
"A003511",
"A003512",
"A019973"
] |
[
"M2622"
] |
N. J. A. Sloane
| 2025-02-16T08:32:27 |
oeisdata/seq/A003/A003512.seq
|
da6e92ee4255314ce27cd853b45f92b3
|
A003513
|
Number of regular sequences of length n.
|
[
"1",
"2",
"6",
"27",
"192",
"2280",
"47097",
"1735803",
"115867758",
"14137353466",
"3172486137982",
"1315460211433262",
"1011773137731861712",
"1448486351628212391462",
"3872217739919424676743213"
] |
[
"nonn",
"nice",
"more"
] | 52 | 2 | 2 |
[
"A003513",
"A005268",
"A005269",
"A005272",
"A008926",
"A126796",
"A234595"
] |
[
"M1685"
] |
N. J. A. Sloane
| 2023-09-06T01:12:23 |
oeisdata/seq/A003/A003513.seq
|
0694f5650c3c055addedc1c969095c82
|
A003514
|
Number of series-reduced labeled graphs with n nodes.
|
[
"1",
"1",
"2",
"4",
"15",
"102",
"4166",
"402631",
"76374899",
"27231987762",
"18177070202320",
"22801993267433275",
"54212469444212172845",
"246812697326518127351384",
"2173787304796735262709419350",
"37373588848096468764431235680525",
"1263513534110606141026676778422031561"
] |
[
"nonn",
"nice"
] | 40 | 0 | 3 |
[
"A003514",
"A003515",
"A005637",
"A060514",
"A307806"
] |
[
"M1290"
] |
N. J. A. Sloane
| 2024-02-24T04:32:13 |
oeisdata/seq/A003/A003514.seq
|
a44d62d5b63dd7977bfb8ae834180ec3
|
A003515
|
Number of series-reduced connected labeled graphs with n nodes.
|
[
"0",
"1",
"1",
"0",
"5",
"51",
"3634",
"374119",
"73161880",
"26545249985",
"17904840957826",
"22602069719494379",
"53938857227326533032",
"246107945479472758874483",
"2170331943503938546383205218",
"37340982087637629911717846092591",
"1262915556964772342158139988356979872"
] |
[
"nonn"
] | 23 | 0 | 5 |
[
"A003514",
"A003515",
"A331437",
"A331438",
"A331584"
] |
[
"M4009"
] |
N. J. A. Sloane
| 2020-01-24T19:17:07 |
oeisdata/seq/A003/A003515.seq
|
322f24f23122dffecb17466d10fd486b
|
A003516
|
Binomial coefficients C(2n+1, n-2).
|
[
"1",
"7",
"36",
"165",
"715",
"3003",
"12376",
"50388",
"203490",
"817190",
"3268760",
"13037895",
"51895935",
"206253075",
"818809200",
"3247943160",
"12875774670",
"51021117810",
"202112640600",
"800472431850",
"3169870830126",
"12551759587422"
] |
[
"nonn",
"easy"
] | 107 | 2 | 2 |
[
"A000984",
"A001622",
"A001700",
"A001791",
"A002054",
"A002694",
"A002696",
"A003516",
"A004310",
"A004318",
"A030053",
"A030056",
"A100257",
"A113187",
"A114492",
"A115139"
] |
[
"M4417"
] |
N. J. A. Sloane
| 2024-10-14T10:56:29 |
oeisdata/seq/A003/A003516.seq
|
20ee8547470a291c22e614c64b5e70ae
|
A003517
|
Number of permutations of [n+1] with exactly 1 increasing subsequence of length 3.
|
[
"1",
"6",
"27",
"110",
"429",
"1638",
"6188",
"23256",
"87210",
"326876",
"1225785",
"4601610",
"17298645",
"65132550",
"245642760",
"927983760",
"3511574910",
"13309856820",
"50528160150",
"192113383644",
"731508653106",
"2789279908316",
"10649977831752",
"40715807302800",
"155851062397940",
"597261490737912"
] |
[
"nonn",
"easy",
"nice"
] | 152 | 2 | 2 |
[
"A000108",
"A000245",
"A000344",
"A000588",
"A001089",
"A001392",
"A001622",
"A002054",
"A002057",
"A003517",
"A003518",
"A003519",
"A009766",
"A026017",
"A030237",
"A033184",
"A047072",
"A059365",
"A084249",
"A099039",
"A106566",
"A130020",
"A214292"
] |
[
"M4177"
] |
N. J. A. Sloane
| 2025-01-28T00:02:47 |
oeisdata/seq/A003/A003517.seq
|
44312544aaf91a2e8a4fc83b1b913339
|
A003518
|
a(n) = 8*binomial(2*n+1,n-3)/(n+5).
|
[
"1",
"8",
"44",
"208",
"910",
"3808",
"15504",
"62016",
"245157",
"961400",
"3749460",
"14567280",
"56448210",
"218349120",
"843621600",
"3257112960",
"12570420330",
"48507033744",
"187187399448",
"722477682080",
"2789279908316",
"10772391370048",
"41620603020640",
"160878516023680",
"622147386185325"
] |
[
"nonn",
"easy"
] | 136 | 3 | 2 |
[
"A000108",
"A000245",
"A000344",
"A000588",
"A001392",
"A001622",
"A002057",
"A003517",
"A003518",
"A003519",
"A009766",
"A026018",
"A030237",
"A033184",
"A047072",
"A059365",
"A099039",
"A106566",
"A130020"
] |
[
"M4529"
] |
N. J. A. Sloane
| 2025-05-04T01:54:09 |
oeisdata/seq/A003/A003518.seq
|
dd430c2e2ad550e912fc160274005a88
|
A003519
|
a(n) = 10*C(2n+1, n-4)/(n+6).
|
[
"1",
"10",
"65",
"350",
"1700",
"7752",
"33915",
"144210",
"600875",
"2466750",
"10015005",
"40320150",
"161280600",
"641886000",
"2544619500",
"10056336264",
"39645171810",
"155989499540",
"612815891050",
"2404551645100",
"9425842448792",
"36921502679600",
"144539291740025",
"565588532895750",
"2212449261033375"
] |
[
"nonn",
"easy"
] | 67 | 4 | 2 |
[
"A000108",
"A000245",
"A000344",
"A000588",
"A001392",
"A001622",
"A002057",
"A003517",
"A003518",
"A003519",
"A009766",
"A030237",
"A033184",
"A047072",
"A059365",
"A099039",
"A106566",
"A130020"
] |
[
"M4721"
] |
N. J. A. Sloane
| 2025-01-05T19:51:33 |
oeisdata/seq/A003/A003519.seq
|
af20c8586ac1041ac321566734b39e76
|
A003520
|
a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.
|
[
"1",
"1",
"1",
"1",
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"11",
"15",
"20",
"26",
"34",
"45",
"60",
"80",
"106",
"140",
"185",
"245",
"325",
"431",
"571",
"756",
"1001",
"1326",
"1757",
"2328",
"3084",
"4085",
"5411",
"7168",
"9496",
"12580",
"16665",
"22076",
"29244",
"38740",
"51320",
"67985",
"90061",
"119305",
"158045",
"209365",
"277350",
"367411",
"486716",
"644761"
] |
[
"nonn",
"easy"
] | 187 | 0 | 6 |
[
"A000045",
"A000079",
"A000930",
"A003269",
"A003520",
"A005708",
"A005709",
"A005710",
"A005711",
"A017899"
] |
[
"M0507"
] |
N. J. A. Sloane
| 2025-03-21T09:25:58 |
oeisdata/seq/A003/A003520.seq
|
049d14ef8ce9cc4a1ecddbf70a39d099
|
A003521
|
Values of m in the discriminant D = -4*m leading to a new minimum of the L-function of the Dirichlet series L(1) = Sum_{k>=1} Kronecker(D,k)/k.
|
[
"1",
"7",
"37",
"58",
"163",
"4687",
"30178",
"30493",
"47338",
"83218",
"106177",
"134773",
"288502",
"991027"
] |
[
"nonn",
"more"
] | 30 | 1 | 2 |
[
"A003420",
"A003521"
] |
[
"M4418"
] |
N. J. A. Sloane
| 2020-02-03T10:26:22 |
oeisdata/seq/A003/A003521.seq
|
3ec779ff577c5802d164f5aeafef080d
|
A003522
|
a(n) = Sum_{k=0..n} C(n-k,3k).
|
[
"1",
"1",
"1",
"1",
"2",
"5",
"11",
"21",
"37",
"64",
"113",
"205",
"377",
"693",
"1266",
"2301",
"4175",
"7581",
"13785",
"25088",
"45665",
"83097",
"151169",
"274969",
"500162",
"909845",
"1655187",
"3011157",
"5477917",
"9965312",
"18128529",
"32978725",
"59993817",
"109139117",
"198543154"
] |
[
"nonn",
"easy"
] | 46 | 0 | 5 | null |
[
"M1391"
] |
N. J. A. Sloane
| 2025-01-05T19:51:33 |
oeisdata/seq/A003/A003522.seq
|
38c5273fa621dbef8ee124aae6c2c985
|
A003523
|
Divisors of 2^10 - 1.
|
[
"1",
"3",
"11",
"31",
"33",
"93",
"341",
"1023"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 18 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:31:32 |
oeisdata/seq/A003/A003523.seq
|
50c33ad6ccc286cfbcc5c2b34e674738
|
A003524
|
Divisors of 2^12 - 1.
|
[
"1",
"3",
"5",
"7",
"9",
"13",
"15",
"21",
"35",
"39",
"45",
"63",
"65",
"91",
"105",
"117",
"195",
"273",
"315",
"455",
"585",
"819",
"1365",
"4095"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 30 | 1 | 2 |
[
"A003524",
"A334133"
] | null |
N. J. A. Sloane
| 2020-07-01T15:31:40 |
oeisdata/seq/A003/A003524.seq
|
cc4da39841f04e6216e604844f091408
|
A003525
|
Divisors of 2^14 - 1.
|
[
"1",
"3",
"43",
"127",
"129",
"381",
"5461",
"16383"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:32:34 |
oeisdata/seq/A003/A003525.seq
|
f3fc31285f292d05b1e4211eb2a5b0e2
|
A003526
|
Divisors of 2^15 - 1.
|
[
"1",
"7",
"31",
"151",
"217",
"1057",
"4681",
"32767"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 18 | 1 | 2 |
[
"A003526",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T05:48:40 |
oeisdata/seq/A003/A003526.seq
|
d8f55833c7d502bb86e38c9b03f4dcda
|
A003527
|
Divisors of 2^16 - 1.
|
[
"1",
"3",
"5",
"15",
"17",
"51",
"85",
"255",
"257",
"771",
"1285",
"3855",
"4369",
"13107",
"21845",
"65535"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 26 | 1 | 2 |
[
"A001317",
"A003527",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T07:58:16 |
oeisdata/seq/A003/A003527.seq
|
0a4baef841f3f3c98dcb20de187f908f
|
A003528
|
Divisors of 2^18 - 1.
|
[
"1",
"3",
"7",
"9",
"19",
"21",
"27",
"57",
"63",
"73",
"133",
"171",
"189",
"219",
"399",
"511",
"513",
"657",
"1197",
"1387",
"1533",
"1971",
"3591",
"4161",
"4599",
"9709",
"12483",
"13797",
"29127",
"37449",
"87381",
"262143"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2021-12-26T20:45:20 |
oeisdata/seq/A003/A003528.seq
|
cd4bb8b30a9dc2abe5f2c09ae54b08d8
|
A003529
|
Divisors of 2^20 - 1.
|
[
"1",
"3",
"5",
"11",
"15",
"25",
"31",
"33",
"41",
"55",
"75",
"93",
"123",
"155",
"165",
"205",
"275",
"341",
"451",
"465",
"615",
"775",
"825",
"1023",
"1025",
"1271",
"1353",
"1705",
"2255",
"2325",
"3075",
"3813",
"5115",
"6355",
"6765",
"8525",
"11275",
"13981",
"19065",
"25575"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 20 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:34:34 |
oeisdata/seq/A003/A003529.seq
|
a960170296d2f1bcf6c47970640dc5f5
|
A003530
|
Divisors of 2^21 - 1.
|
[
"1",
"7",
"49",
"127",
"337",
"889",
"2359",
"6223",
"16513",
"42799",
"299593",
"2097151"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 23 | 1 | 2 |
[
"A003530",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T05:02:06 |
oeisdata/seq/A003/A003530.seq
|
071443ab6b96f11f6060f5b3a3000b1a
|
A003531
|
Divisors of 2^22 - 1.
|
[
"1",
"3",
"23",
"69",
"89",
"267",
"683",
"2047",
"2049",
"6141",
"15709",
"47127",
"60787",
"182361",
"1398101",
"4194303"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2021-12-26T20:45:28 |
oeisdata/seq/A003/A003531.seq
|
6416c7f9890cab0d2844b67049d6b84f
|
A003532
|
Divisors of 2^24 - 1.
|
[
"1",
"3",
"5",
"7",
"9",
"13",
"15",
"17",
"21",
"35",
"39",
"45",
"51",
"63",
"65",
"85",
"91",
"105",
"117",
"119",
"153",
"195",
"221",
"241",
"255",
"273",
"315",
"357",
"455",
"585",
"595",
"663",
"723",
"765",
"819",
"1071",
"1105",
"1205",
"1365",
"1547",
"1687",
"1785",
"1989",
"2169",
"3133",
"3315",
"3615",
"4095",
"4097",
"4641",
"5061",
"5355"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 20 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:35:48 |
oeisdata/seq/A003/A003532.seq
|
3d5ec909cc95cd636e3d2a05723b5106
|
A003533
|
Divisors of 2^25 - 1.
|
[
"1",
"31",
"601",
"1801",
"18631",
"55831",
"1082401",
"33554431"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 25 | 1 | 2 | null | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003533.seq
|
7447dddb12a556e0166ab6f44009252f
|
A003534
|
Divisors of 2^26 - 1.
|
[
"1",
"3",
"2731",
"8191",
"8193",
"24573",
"22369621",
"67108863"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 18 | 1 | 2 |
[
"A003534",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T08:19:23 |
oeisdata/seq/A003/A003534.seq
|
39b0a91298dae4b1ec5c0a898e670861
|
A003535
|
Divisors of 2^27 - 1.
|
[
"1",
"7",
"73",
"511",
"262657",
"1838599",
"19173961",
"134217727"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:36:27 |
oeisdata/seq/A003/A003535.seq
|
28f05f8540b1209180d1ea79770a5999
|
A003536
|
Divisors of 2^28 - 1.
|
[
"1",
"3",
"5",
"15",
"29",
"43",
"87",
"113",
"127",
"129",
"145",
"215",
"339",
"381",
"435",
"565",
"635",
"645",
"1247",
"1695",
"1905",
"3277",
"3683",
"3741",
"4859",
"5461",
"6235",
"9831",
"11049",
"14351",
"14577",
"16383",
"16385",
"18415",
"18705",
"24295",
"27305"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 20 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:37:29 |
oeisdata/seq/A003/A003536.seq
|
b459561b83cb1dccc417431fcea36b62
|
A003537
|
Divisors of 2^29 - 1.
|
[
"1",
"233",
"1103",
"2089",
"256999",
"486737",
"2304167",
"536870911"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 22 | 1 | 2 | null | null |
N. J. A. Sloane
| 2025-05-14T04:23:33 |
oeisdata/seq/A003/A003537.seq
|
26070c522673a7f02f017d65b884d515
|
A003538
|
Divisors of 2^30 - 1.
|
[
"1",
"3",
"7",
"9",
"11",
"21",
"31",
"33",
"63",
"77",
"93",
"99",
"151",
"217",
"231",
"279",
"331",
"341",
"453",
"651",
"693",
"993",
"1023",
"1057",
"1359",
"1661",
"1953",
"2317",
"2387",
"2979",
"3069",
"3171",
"3641",
"4681",
"4983",
"6951",
"7161",
"9513",
"10261",
"10923",
"11627",
"14043",
"14949",
"20853",
"21483",
"25487"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 31 | 1 | 2 | null | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003538.seq
|
d7de13777fdfc179f7fa997032e9c0ca
|
A003539
|
a(0) = 587, a(n) = 3*a(n-1) + 16 for n > 0 (the first 11 terms are primes).
|
[
"587",
"1777",
"5347",
"16057",
"48187",
"144577",
"433747",
"1301257",
"3903787",
"11711377",
"35134147",
"105402457",
"316207387",
"948622177",
"2845866547",
"8537599657",
"25612798987",
"76838396977",
"230515190947",
"691545572857",
"2074636718587",
"6223910155777",
"18671730467347",
"56015191402057"
] |
[
"nonn",
"easy"
] | 14 | 0 | 1 |
[
"A000244",
"A003539"
] | null |
N. J. A. Sloane
| 2024-09-15T20:24:30 |
oeisdata/seq/A003/A003539.seq
|
c68d294455fe7ff14fae27837efee773
|
A003540
|
Divisors of 2^33 - 1.
|
[
"1",
"7",
"23",
"89",
"161",
"623",
"2047",
"14329",
"599479",
"4196353",
"13788017",
"53353631",
"96516119",
"373475417",
"1227133513",
"8589934591"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 21 | 1 | 2 | null | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003540.seq
|
9ff408f1a5b1c724cbdc9674e5ed1e97
|
A003541
|
Divisors of 2^34 - 1.
|
[
"1",
"3",
"43691",
"131071",
"131073",
"393213",
"5726623061",
"17179869183"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 18 | 1 | 2 |
[
"A003541",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T08:19:28 |
oeisdata/seq/A003/A003541.seq
|
8741225c168cc11c518e91a51fee7bdf
|
A003542
|
Divisors of 2^35 - 1.
|
[
"1",
"31",
"71",
"127",
"2201",
"3937",
"9017",
"122921",
"279527",
"3810551",
"8727391",
"15610967",
"270549121",
"483939977",
"1108378657",
"34359738367"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:38:47 |
oeisdata/seq/A003/A003542.seq
|
cd7fcabea5e419e5426b93697b2d20aa
|
A003543
|
Divisors of 2^36 - 1.
|
[
"1",
"3",
"5",
"7",
"9",
"13",
"15",
"19",
"21",
"27",
"35",
"37",
"39",
"45",
"57",
"63",
"65",
"73",
"91",
"95",
"105",
"109",
"111",
"117",
"133",
"135",
"171",
"185",
"189",
"195",
"219",
"247",
"259",
"273",
"285",
"315",
"327",
"333",
"351",
"365",
"399",
"455",
"481",
"511",
"513",
"545",
"555",
"585",
"657",
"665",
"703",
"741",
"763",
"777",
"819",
"855",
"945",
"949"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 31 | 1 | 2 | null | null |
N. J. A. Sloane
| 2024-07-19T03:15:00 |
oeisdata/seq/A003/A003543.seq
|
d3b8a2765572f4ea7f5772c23db024ac
|
A003544
|
Divisors of 2^38 - 1.
|
[
"1",
"3",
"174763",
"524287",
"524289",
"1572861",
"91625968981",
"274877906943"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:39:12 |
oeisdata/seq/A003/A003544.seq
|
34b68f51263f8fab2235b090693babc0
|
A003545
|
Divisors of 2^39 - 1.
|
[
"1",
"7",
"79",
"553",
"8191",
"57337",
"121369",
"647089",
"849583",
"4529623",
"9588151",
"67117057",
"994133479",
"6958934353",
"78536544841",
"549755813887"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 17 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:39:35 |
oeisdata/seq/A003/A003545.seq
|
bc3de54c00160f8b86d3f3a74631b53b
|
A003546
|
Divisors of 2^40 - 1.
|
[
"1",
"3",
"5",
"11",
"15",
"17",
"25",
"31",
"33",
"41",
"51",
"55",
"75",
"85",
"93",
"123",
"155",
"165",
"187",
"205",
"255",
"275",
"341",
"425",
"451",
"465",
"527",
"561",
"615",
"697",
"775",
"825",
"935",
"1023",
"1025",
"1271",
"1275",
"1353",
"1581",
"1705",
"2091",
"2255",
"2325"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 25 | 1 | 2 |
[
"A003546",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T05:02:20 |
oeisdata/seq/A003/A003546.seq
|
7e24b7706357409be1168f2c90227c90
|
A003547
|
Divisors of 2^42 - 1.
|
[
"1",
"3",
"7",
"9",
"21",
"43",
"49",
"63",
"127",
"129",
"147",
"301",
"337",
"381",
"387",
"441",
"889",
"903",
"1011",
"1143",
"2107",
"2359",
"2667",
"2709",
"3033",
"5419",
"5461",
"6223",
"6321",
"7077",
"8001",
"14491",
"16257",
"16383",
"16513",
"18669",
"18963",
"21231"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 21 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:40:28 |
oeisdata/seq/A003/A003547.seq
|
92618e01934dce94cbce2a45da6998f6
|
A003548
|
Divisors of 2^43 - 1.
|
[
"1",
"431",
"9719",
"2099863",
"4188889",
"905040953",
"20408568497",
"8796093022207"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:40:47 |
oeisdata/seq/A003/A003548.seq
|
5290efb4cf7b57a9b3909eafa36136ce
|
A003549
|
Divisors of 2^44 - 1.
|
[
"1",
"3",
"5",
"15",
"23",
"69",
"89",
"115",
"267",
"345",
"397",
"445",
"683",
"1191",
"1335",
"1985",
"2047",
"2049",
"2113",
"3415",
"5955",
"6141",
"6339",
"9131",
"10235",
"10245",
"10565",
"15709",
"27393",
"30705",
"31695",
"35333",
"45655",
"47127",
"48599",
"60787",
"78545",
"105999",
"136965",
"145797",
"176665",
"182361"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 29 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:41:55 |
oeisdata/seq/A003/A003549.seq
|
9fb9a68539fd00c5f4fd6283d25a9d3a
|
A003550
|
Divisors of 2^45 - 1.
|
[
"1",
"7",
"31",
"73",
"151",
"217",
"511",
"631",
"1057",
"2263",
"4417",
"4681",
"11023",
"15841",
"19561",
"23311",
"32767",
"46063",
"77161",
"95281",
"136927",
"163177",
"322441",
"341713",
"666967",
"722641",
"1427953",
"1701703",
"2391991",
"2953711",
"3519961"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 26 | 1 | 2 |
[
"A003550",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T05:02:32 |
oeisdata/seq/A003/A003550.seq
|
8a2de3b1736bedede0908df90c4e55a8
|
A003551
|
Divisors of 2^46 - 1.
|
[
"1",
"3",
"47",
"141",
"178481",
"535443",
"2796203",
"8388607",
"8388609",
"25165821",
"131421541",
"394264623",
"499069107643",
"1497207322929",
"23456248059221",
"70368744177663"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 16 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:42:38 |
oeisdata/seq/A003/A003551.seq
|
b88de7777568ae8b76babd7219fe1e4e
|
A003552
|
Divisors of 2^47 - 1.
|
[
"1",
"2351",
"4513",
"10610063",
"13264529",
"31184907679",
"59862819377",
"140737488355327"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 18 | 1 | 2 |
[
"A003552",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T09:18:07 |
oeisdata/seq/A003/A003552.seq
|
4fde62923ebe0b82157b43cb25f431e9
|
A003553
|
Divisors of 2^48 - 1.
|
[
"1",
"3",
"5",
"7",
"9",
"13",
"15",
"17",
"21",
"35",
"39",
"45",
"51",
"63",
"65",
"85",
"91",
"97",
"105",
"117",
"119",
"153",
"195",
"221",
"241",
"255",
"257",
"273",
"291",
"315",
"357",
"455",
"485",
"585",
"595",
"663",
"673",
"679",
"723",
"765",
"771",
"819",
"873",
"1071",
"1105",
"1205",
"1261"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 22 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-21T23:43:13 |
oeisdata/seq/A003/A003553.seq
|
b2272f17f7da9cba4b90830548f2ba1c
|
A003554
|
Divisors of 2^50 - 1.
|
[
"1",
"3",
"11",
"31",
"33",
"93",
"251",
"341",
"601",
"753",
"1023",
"1801",
"1803",
"2761",
"4051",
"5403",
"6611",
"7781",
"8283",
"12153",
"18631",
"19811",
"19833",
"23343",
"44561",
"55831",
"55893",
"59433",
"85591",
"125581",
"133683",
"150851",
"167493",
"204941"
] |
[
"nonn",
"fini",
"full",
"easy"
] | 26 | 1 | 2 |
[
"A003554",
"A361438"
] | null |
N. J. A. Sloane
| 2024-07-02T05:02:41 |
oeisdata/seq/A003/A003554.seq
|
2ceaa1a47d918c73d586fc3f55aa3122
|
A003555
|
Sum_{i=1..(10^n - 1)/9} i, or ((10^n -1)/9)*((10^n -1)/9 +1)/2 (n-th term is the middle 2(n-1) digits of the (n+9)-th term for n > 1).
|
[
"1",
"66",
"6216",
"617716",
"61732716",
"6172882716",
"617284382716",
"61728399382716",
"6172839549382716",
"617283951049382716",
"61728395066049382716",
"6172839506216049382716",
"617283950617716049382716",
"61728395061732716049382716",
"6172839506172882716049382716"
] |
[
"nonn",
"base",
"easy"
] | 28 | 1 | 2 |
[
"A002275",
"A003555",
"A093142",
"A098210",
"A099638"
] | null |
Daniel Lawson (dlawson(AT)cats.ucsc.edu)
| 2023-02-13T03:22:02 |
oeisdata/seq/A003/A003555.seq
|
f512b10894b947c2696da5365f4cd0a7
|
A003556
|
Numbers that are both square and tetrahedral.
|
[
"0",
"1",
"4",
"19600"
] |
[
"nonn",
"fini",
"full"
] | 31 | 1 | 3 |
[
"A000290",
"A000292",
"A003556"
] | null |
N. J. A. Sloane
| 2019-03-01T01:53:53 |
oeisdata/seq/A003/A003556.seq
|
bd513e634968898c9ca5cee7ff2e28b9
|
A003557
|
n divided by largest squarefree divisor of n; if n = Product p(k)^e(k) then a(n) = Product p(k)^(e(k)-1), with a(1) = 1.
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"8",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"4",
"5",
"1",
"9",
"2",
"1",
"1",
"1",
"16",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"8",
"7",
"5",
"1",
"2",
"1",
"9",
"1",
"4",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"32",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"12",
"1",
"1",
"5",
"2",
"1",
"1",
"1",
"8",
"27",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"16",
"1",
"7"
] |
[
"nonn",
"easy",
"mult",
"changed"
] | 146 | 1 | 4 |
[
"A000010",
"A000027",
"A000961",
"A001222",
"A001615",
"A003415",
"A003557",
"A005117",
"A007434",
"A007947",
"A048250",
"A051903",
"A057521",
"A062378",
"A062379",
"A064549",
"A065487",
"A071773",
"A082695",
"A173557",
"A300717",
"A326306",
"A328572",
"A342001",
"A345052"
] | null |
Marc LeBrun
| 2025-07-08T18:02:46 |
oeisdata/seq/A003/A003557.seq
|
0d6aec27dbd5a7035a6146e1f905140c
|
A003558
|
Least number m > 0 such that 2^m == +-1 (mod 2n + 1).
|
[
"1",
"1",
"2",
"3",
"3",
"5",
"6",
"4",
"4",
"9",
"6",
"11",
"10",
"9",
"14",
"5",
"5",
"12",
"18",
"12",
"10",
"7",
"12",
"23",
"21",
"8",
"26",
"20",
"9",
"29",
"30",
"6",
"6",
"33",
"22",
"35",
"9",
"20",
"30",
"39",
"27",
"41",
"8",
"28",
"11",
"12",
"10",
"36",
"24",
"15",
"50",
"51",
"12",
"53",
"18",
"36",
"14",
"44",
"12",
"24",
"55",
"20",
"50",
"7",
"7",
"65",
"18",
"36",
"34",
"69",
"46"
] |
[
"nonn",
"changed"
] | 310 | 0 | 3 |
[
"A000215",
"A003558",
"A014657",
"A014659",
"A054142",
"A065941",
"A085478",
"A135303",
"A160657",
"A179480",
"A216066",
"A216371",
"A329593",
"A332433"
] | null |
N. J. A. Sloane
| 2025-07-16T08:17:37 |
oeisdata/seq/A003/A003558.seq
|
5f5ac4497f4cc9423809f9f7836d56d8
|
A003559
|
Least number m such that 3^m == +- 1 (mod 3n + 1).
|
[
"1",
"3",
"2",
"3",
"4",
"9",
"5",
"10",
"3",
"15",
"8",
"9",
"4",
"21",
"11",
"21",
"6",
"20",
"14",
"5",
"16",
"11",
"12",
"6",
"9",
"39",
"4",
"16",
"10",
"6",
"23",
"24",
"20",
"17",
"26",
"27",
"12",
"44",
"29",
"5",
"15",
"63",
"12",
"9",
"16",
"69",
"35",
"14",
"9",
"25",
"30",
"39",
"8",
"81",
"41",
"39",
"21",
"60",
"44",
"45",
"22",
"80",
"36",
"8",
"21",
"99",
"50",
"8",
"12",
"105",
"53"
] |
[
"nonn"
] | 11 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:58:10 |
oeisdata/seq/A003/A003559.seq
|
958e80f94b5164a2ec812b941d84b906
|
A003560
|
Least number m such that 4^m == +- 1 (mod 4n + 1).
|
[
"1",
"1",
"3",
"3",
"2",
"3",
"5",
"7",
"5",
"9",
"5",
"6",
"21",
"13",
"9",
"15",
"3",
"11",
"9",
"15",
"27",
"4",
"11",
"5",
"12",
"25",
"6",
"9",
"7",
"6",
"55",
"25",
"7",
"9",
"17",
"23",
"7",
"37",
"12",
"13",
"33",
"10",
"39",
"43",
"29",
"45",
"9",
"9",
"24",
"49",
"33",
"5",
"45",
"35",
"15",
"12",
"30",
"19",
"29",
"39",
"6",
"42",
"41",
"55",
"4",
"42",
"13",
"67",
"6",
"23",
"35",
"18",
"34"
] |
[
"nonn"
] | 24 | 0 | 3 |
[
"A003560",
"A003573"
] | null |
N. J. A. Sloane
| 2023-10-22T16:56:19 |
oeisdata/seq/A003/A003560.seq
|
68f834de7925dccc7742bd1b1651275b
|
A003561
|
Least number m such that 5^m == +- 1 (mod 5n + 1).
|
[
"1",
"5",
"4",
"3",
"2",
"3",
"6",
"10",
"11",
"16",
"6",
"15",
"10",
"5",
"9",
"27",
"21",
"12",
"8",
"25",
"26",
"36",
"14",
"55",
"3",
"65",
"16",
"23",
"36",
"75",
"4",
"33",
"41",
"18",
"20",
"15",
"6",
"19",
"42",
"11",
"51",
"35",
"18",
"16",
"56",
"30",
"29",
"20",
"20",
"25",
"64",
"21",
"18",
"27",
"22",
"70",
"20",
"96",
"36",
"21",
"48",
"155",
"39",
"53",
"27",
"165",
"12",
"15"
] |
[
"nonn"
] | 10 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:45:59 |
oeisdata/seq/A003/A003561.seq
|
1224a1efd987b7e2e85d535b0af5303a
|
A003562
|
Least number m such that 6^m == +- 1 (mod 6n + 1).
|
[
"1",
"6",
"9",
"5",
"3",
"2",
"3",
"7",
"10",
"30",
"33",
"18",
"39",
"16",
"12",
"6",
"51",
"54",
"11",
"55",
"63",
"18",
"23",
"14",
"75",
"78",
"27",
"78",
"10",
"30",
"80",
"48",
"99",
"40",
"105",
"3",
"111",
"114",
"23",
"10",
"36",
"110",
"4",
"26",
"135",
"138",
"141",
"136",
"58",
"6",
"51",
"26",
"35",
"60",
"165",
"28",
"49",
"58",
"35",
"171",
"183",
"186",
"63",
"10",
"176"
] |
[
"nonn"
] | 10 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:35:10 |
oeisdata/seq/A003/A003562.seq
|
1ef6471791b980aa2d8a937f9f54c94f
|
A003563
|
Least number m such that 7^m == +- 1 (mod 7n + 1).
|
[
"1",
"4",
"5",
"7",
"6",
"3",
"2",
"3",
"8",
"35",
"12",
"16",
"11",
"30",
"13",
"7",
"4",
"63",
"33",
"23",
"18",
"60",
"27",
"78",
"10",
"60",
"12",
"49",
"16",
"105",
"27",
"12",
"14",
"119",
"40",
"55",
"12",
"88",
"34",
"10",
"12",
"116",
"75",
"51",
"39",
"48",
"20",
"28",
"3",
"36",
"89",
"24",
"30",
"189",
"12",
"65",
"4",
"90",
"66",
"35",
"53",
"28",
"48",
"56",
"6",
"77",
"92",
"78"
] |
[
"nonn"
] | 10 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:45:32 |
oeisdata/seq/A003/A003563.seq
|
65e4d1c34930d1bb93516f93d36ae0de
|
A003564
|
Least number m such that 8^m == +- 1 (mod 8n + 1).
|
[
"1",
"4",
"10",
"5",
"10",
"7",
"3",
"2",
"3",
"9",
"11",
"8",
"4",
"14",
"55",
"7",
"34",
"14",
"8",
"11",
"26",
"29",
"6",
"16",
"11",
"15",
"5",
"20",
"29",
"4",
"41",
"8",
"26",
"4",
"35",
"68",
"15",
"10",
"26",
"53",
"23",
"7",
"44",
"44",
"57",
"20",
"14",
"20",
"65",
"100",
"34",
"23",
"40",
"12",
"14",
"112",
"38",
"20",
"35",
"6",
"27",
"35",
"50",
"3",
"130",
"253",
"89",
"6",
"13",
"40"
] |
[
"nonn"
] | 12 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:45:45 |
oeisdata/seq/A003/A003564.seq
|
348669d2ab68e39251ef25b372b1c514
|
A003565
|
Least number m such that 9^m == +- 1 (mod 9n + 1).
|
[
"1",
"9",
"3",
"9",
"11",
"10",
"8",
"3",
"2",
"3",
"10",
"27",
"29",
"63",
"8",
"7",
"15",
"81",
"21",
"45",
"18",
"99",
"6",
"15",
"28",
"46",
"5",
"55",
"65",
"15",
"6",
"68",
"37",
"17",
"39",
"30",
"83",
"147",
"20",
"171",
"18",
"189",
"24",
"99",
"42",
"82",
"26",
"27",
"24",
"20",
"22",
"33",
"119",
"243",
"30",
"25",
"64",
"29",
"9",
"135",
"10",
"21",
"35",
"12",
"73",
"24",
"25"
] |
[
"nonn"
] | 10 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:46:10 |
oeisdata/seq/A003/A003565.seq
|
592d657a5182d823f205172438f6bd41
|
A003566
|
Least number m such that 10^m == +- 1 mod (10n + 1).
|
[
"1",
"6",
"15",
"5",
"16",
"30",
"35",
"9",
"3",
"2",
"3",
"11",
"65",
"46",
"75",
"33",
"18",
"90",
"95",
"33",
"15",
"48",
"6",
"15",
"25",
"28",
"5",
"14",
"96",
"42",
"155",
"53",
"55",
"30",
"6",
"171",
"78",
"42",
"176",
"100",
"8",
"70",
"215",
"42",
"10",
"230",
"78",
"6",
"245",
"166",
"24",
"26",
"58",
"270",
"252",
"16",
"285",
"246",
"98",
"150",
"69",
"66",
"315",
"16",
"30"
] |
[
"nonn"
] | 17 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T17:14:28 |
oeisdata/seq/A003/A003566.seq
|
c6ea3f49e7ac410a1fc10867a31a7621
|
A003567
|
Least number m such that 11^m == +- 1 (mod 11n + 1).
|
[
"1",
"11",
"8",
"6",
"6",
"33",
"12",
"11",
"10",
"3",
"2",
"3",
"12",
"30",
"41",
"29",
"23",
"11",
"6",
"48",
"28",
"81",
"63",
"26",
"11",
"120",
"74",
"51",
"16",
"165",
"6",
"44",
"12",
"50",
"32",
"99",
"16",
"209",
"7",
"42",
"56",
"231",
"78",
"48",
"60",
"156",
"6",
"253",
"18",
"84",
"140",
"19",
"72",
"48",
"100",
"154",
"78",
"105",
"60",
"33",
"24",
"341",
"173",
"46",
"89"
] |
[
"nonn"
] | 9 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:59:57 |
oeisdata/seq/A003/A003567.seq
|
12f11b1fe1faad0b2bd64ff1318c5f3c
|
A003568
|
Least number m such that 12^m == +- 1 (mod 12n + 1).
|
[
"1",
"10",
"9",
"21",
"15",
"18",
"16",
"8",
"27",
"11",
"3",
"2",
"3",
"13",
"45",
"12",
"40",
"15",
"57",
"60",
"11",
"26",
"69",
"136",
"21",
"39",
"20",
"84",
"87",
"57",
"31",
"12",
"99",
"102",
"15",
"54",
"8",
"114",
"33",
"18",
"16",
"50",
"23",
"253",
"135",
"39",
"112",
"72",
"15",
"75",
"153",
"250",
"21",
"29",
"15",
"14",
"136",
"80",
"59",
"51",
"183",
"74",
"189",
"32"
] |
[
"nonn"
] | 11 | 1 | 2 | null | null |
N. J. A. Sloane
| 2023-10-22T16:52:20 |
oeisdata/seq/A003/A003568.seq
|
6ffd7efdce1f89c75eb9ced09df96f12
|
A003569
|
For n>0, a(n) = least positive number m such that 4^m == +1 or -1 (mod 2n + 1), with a(0) = 0 by convention.
|
[
"0",
"1",
"1",
"3",
"3",
"5",
"3",
"2",
"2",
"9",
"3",
"11",
"5",
"9",
"7",
"5",
"5",
"6",
"9",
"6",
"5",
"7",
"6",
"23",
"21",
"4",
"13",
"10",
"9",
"29",
"15",
"3",
"3",
"33",
"11",
"35",
"9",
"10",
"15",
"39",
"27",
"41",
"4",
"14",
"11",
"6",
"5",
"18",
"12",
"15",
"25",
"51",
"6",
"53",
"9",
"18",
"7",
"22",
"6",
"12",
"55",
"10",
"25",
"7",
"7",
"65",
"9",
"18",
"17",
"69",
"23",
"30",
"7",
"21",
"37",
"15",
"12",
"10",
"13",
"26",
"33",
"81",
"10"
] |
[
"easy",
"nonn"
] | 24 | 0 | 4 | null | null |
N. J. A. Sloane
| 2025-02-16T08:32:27 |
oeisdata/seq/A003/A003569.seq
|
64d0334eab63cdc5095958a7bfe5d3a0
|
A003570
|
For n>0, a(n) = least positive number m such that 8^m == +1 or -1 (mod 2n + 1), with a(0) = 0 by convention.
|
[
"0",
"1",
"2",
"1",
"1",
"5",
"2",
"4",
"4",
"3",
"2",
"11",
"10",
"3",
"14",
"5",
"5",
"4",
"6",
"4",
"10",
"7",
"4",
"23",
"7",
"8",
"26",
"20",
"3",
"29",
"10",
"2",
"2",
"11",
"22",
"35",
"3",
"20",
"10",
"13",
"9",
"41",
"8",
"28",
"11",
"4",
"10",
"12",
"8",
"5",
"50",
"17",
"4",
"53",
"6",
"12",
"14",
"44",
"4",
"8",
"55",
"20",
"50",
"7",
"7",
"65",
"6",
"12",
"34",
"23",
"46",
"20",
"14",
"14",
"74",
"5",
"8",
"20",
"26",
"52",
"11",
"27",
"20",
"83"
] |
[
"nonn"
] | 21 | 0 | 3 | null | null |
N. J. A. Sloane
| 2025-02-16T08:32:27 |
oeisdata/seq/A003/A003570.seq
|
12141fa3ee0bb9721a5a30620e4b3766
|
A003571
|
Order of 3 mod 3n+1.
|
[
"1",
"2",
"6",
"4",
"3",
"4",
"18",
"5",
"20",
"6",
"30",
"16",
"18",
"4",
"42",
"11",
"42",
"6",
"20",
"28",
"10",
"16",
"22",
"12",
"12",
"18",
"78",
"8",
"16",
"10",
"6",
"23",
"48",
"20",
"34",
"52",
"27",
"12",
"44",
"29",
"5",
"30",
"126",
"12",
"18",
"16",
"138",
"35",
"28",
"18",
"50",
"30",
"78",
"8",
"162",
"41",
"39",
"42",
"60",
"88",
"45",
"22",
"80",
"36",
"16",
"42",
"198",
"100",
"8"
] |
[
"nonn"
] | 19 | 0 | 2 |
[
"A002326",
"A003571",
"A003573",
"A217469"
] | null |
N. J. A. Sloane
| 2023-10-22T16:19:28 |
oeisdata/seq/A003/A003571.seq
|
d03de70a64efeddf8f25459e1f76f3a8
|
A003572
|
Order of 3 mod 3n+2.
|
[
"1",
"4",
"2",
"5",
"6",
"16",
"4",
"11",
"3",
"28",
"8",
"12",
"18",
"8",
"10",
"23",
"20",
"52",
"6",
"29",
"30",
"12",
"16",
"35",
"18",
"30",
"4",
"41",
"42",
"88",
"22",
"36",
"42",
"100",
"6",
"53",
"20",
"112",
"28",
"48",
"10",
"100",
"32",
"65",
"22",
"136",
"12",
"15",
"12",
"148",
"18",
"60",
"78",
"66",
"8",
"83",
"16",
"172"
] |
[
"nonn"
] | 16 | 0 | 2 |
[
"A002326",
"A003571",
"A003572",
"A003574",
"A217852"
] | null |
N. J. A. Sloane
| 2023-10-22T16:20:30 |
oeisdata/seq/A003/A003572.seq
|
bff7bbcaf974caa07b7922559f818706
|
A003573
|
Order of 4 mod 4n+1.
|
[
"1",
"2",
"3",
"6",
"4",
"3",
"10",
"14",
"5",
"18",
"10",
"6",
"21",
"26",
"9",
"30",
"6",
"11",
"9",
"15",
"27",
"4",
"11",
"5",
"24",
"50",
"6",
"18",
"14",
"6",
"55",
"50",
"7",
"9",
"34",
"23",
"14",
"74",
"12",
"26",
"33",
"10",
"78",
"86",
"29",
"90",
"18",
"9",
"48",
"98",
"33",
"10",
"45",
"35",
"15",
"12",
"30",
"38",
"29",
"39",
"12",
"42",
"41",
"55",
"8",
"42",
"26",
"134",
"6",
"46",
"35"
] |
[
"nonn"
] | 23 | 0 | 2 |
[
"A002326",
"A003571",
"A003573",
"A003574",
"A053447",
"A217469"
] | null |
N. J. A. Sloane
| 2023-10-22T16:21:28 |
oeisdata/seq/A003/A003573.seq
|
1d4e9f7af73687fd605b621d6a638d42
|
A003574
|
Order of 4 mod 4n-1.
|
[
"1",
"3",
"5",
"2",
"9",
"11",
"9",
"5",
"6",
"6",
"7",
"23",
"4",
"10",
"29",
"3",
"33",
"35",
"10",
"39",
"41",
"14",
"6",
"18",
"15",
"51",
"53",
"18",
"22",
"12",
"10",
"7",
"65",
"18",
"69",
"30",
"21",
"15",
"10",
"26",
"81",
"83",
"9",
"30",
"89",
"30",
"20",
"95",
"6",
"99",
"42",
"33",
"105",
"14",
"9",
"37",
"113",
"15",
"46",
"119"
] |
[
"nonn"
] | 21 | 1 | 2 |
[
"A002326",
"A003572",
"A003573",
"A003574",
"A053447",
"A217852"
] | null |
N. J. A. Sloane
| 2022-10-03T02:59:23 |
oeisdata/seq/A003/A003574.seq
|
97cb7ee3e628c73b553437ddf42bfd57
|
A003575
|
Dowling numbers: e.g.f.: exp(x + (exp(b*x) - 1)/b) with b=3.
|
[
"1",
"2",
"7",
"35",
"214",
"1523",
"12349",
"112052",
"1120849",
"12219767",
"143942992",
"1819256321",
"24526654381",
"350974470746",
"5308470041299",
"84554039118383",
"1413794176669942",
"24745966692370607",
"452277149756692105",
"8612255652371171012",
"170517319084490074405"
] |
[
"nonn"
] | 55 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2024-03-14T11:10:50 |
oeisdata/seq/A003/A003575.seq
|
a7650178741b8bee33804e12a1c581a2
|
A003576
|
Dowling numbers: e.g.f.: exp(x + (exp(b*x) - 1)/b) with b=4.
|
[
"1",
"2",
"8",
"48",
"352",
"3008",
"29440",
"324096",
"3947520",
"52541440",
"757260288",
"11733385216",
"194272854016",
"3419584921600",
"63707979972608",
"1251489089060864",
"25836869372608512",
"558946705406427136",
"12638569755079344128",
"298003073694026432512",
"7312035980392431353856"
] |
[
"nonn"
] | 32 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003576.seq
|
d250e0036692733141ad08a77e6f9c1f
|
A003577
|
Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=5.
|
[
"1",
"2",
"9",
"63",
"536",
"5307",
"60389",
"775988",
"11062391",
"172638727",
"2921519374",
"53221709973",
"1037320865141",
"21517178350762",
"472862758184789",
"10966587174511443",
"267502464814857936",
"6842498829509972687",
"183057455239626138009",
"5110016898453125496548"
] |
[
"nonn"
] | 33 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003577.seq
|
ae6f283a0e7339e47baf3e02291a8e21
|
A003578
|
Dowling numbers: e.g.f. exp(x + (exp(b*x) - 1)/b), with b=6.
|
[
"1",
"2",
"10",
"80",
"772",
"8648",
"111592",
"1631360",
"26518672",
"472528160",
"9139219360",
"190461416192",
"4250569655872",
"101040920561792",
"2546488866632320",
"67772341398044672",
"1898177372174512384",
"55780954727160472064",
"1715291443214323558912",
"55062161002484359565312"
] |
[
"nonn"
] | 26 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003578.seq
|
dfe22089646e3f98961c31ae8ca4aefe
|
A003579
|
Dowling numbers: e.g.f. exp(x + (exp(b*x) - 1)/b), with b=7.
|
[
"1",
"2",
"11",
"99",
"1066",
"13283",
"190933",
"3117900",
"56729565",
"1132679479",
"24564972756",
"574431351673",
"14394977015245",
"384489778509034",
"10894501505088695",
"326149933663962479",
"10280153573323314858"
] |
[
"nonn"
] | 32 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003579.seq
|
0a656e927faa748e3ab451c350b75c31
|
A003580
|
Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=8.
|
[
"1",
"2",
"12",
"120",
"1424",
"19488",
"307904",
"5539712",
"111259904",
"2454487552",
"58847153152",
"1522019629056",
"42209521995776",
"1248370355347456",
"39186678731423744",
"1300179383923212288",
"45436201241711542272",
"1667242078056889843712",
"64063345344029286727680"
] |
[
"nonn"
] | 27 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2023-07-06T01:55:43 |
oeisdata/seq/A003/A003580.seq
|
cb9372305aab82c09b2dd2c0317d3de1
|
A003581
|
Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=9.
|
[
"1",
"2",
"13",
"143",
"1852",
"27563",
"473725",
"9290396",
"203745235",
"4912490375",
"128777672338",
"3643086083981",
"110557605978901",
"3579776914324250",
"123074955978249433",
"4474133111905169219",
"171363047274358839412",
"6893620459732188296591",
"290475101469031118494993"
] |
[
"nonn"
] | 33 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405",
"A364069",
"A364070"
] | null |
N. J. A. Sloane
| 2023-09-30T20:58:28 |
oeisdata/seq/A003/A003581.seq
|
1dfefba48a9f2068ef33a83770f3e6cf
|
A003582
|
Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=10.
|
[
"1",
"2",
"14",
"168",
"2356",
"37832",
"701464",
"14866848",
"352943376",
"9219925792",
"261954304224",
"8033968939648",
"264411579439936",
"9288709762556032",
"346608927301622144",
"13680000261825018368",
"569006722158124974336",
"24864267879086770135552",
"1138321277772163220033024"
] |
[
"nonn"
] | 30 | 0 | 2 |
[
"A000110",
"A003575",
"A003576",
"A003577",
"A003578",
"A003579",
"A003580",
"A003581",
"A003582",
"A007405"
] | null |
N. J. A. Sloane
| 2024-03-14T11:06:07 |
oeisdata/seq/A003/A003582.seq
|
12dc595b0b0c95fa3da006cea5018c83
|
A003583
|
a(n) = (n+2)*2^(2*n-1) - (n/2)*binomial(2*n,n).
|
[
"1",
"5",
"26",
"130",
"628",
"2954",
"13612",
"61716",
"276200",
"1223002",
"5367676",
"23383100",
"101215576",
"435712580",
"1866667448",
"7963424104",
"33846062544",
"143373104378",
"605518549660",
"2550438016812",
"10716162617336"
] |
[
"nonn"
] | 44 | 0 | 2 |
[
"A001792",
"A003583",
"A007403",
"A294435",
"A294436"
] | null |
N. J. A. Sloane
| 2024-12-27T21:04:20 |
oeisdata/seq/A003/A003583.seq
|
948359d45b336a52f341696c76993e36
|
A003584
|
Unicursal (i.e., possessing an Eulerian path) planar rooted maps with n edges.
|
[
"1",
"2",
"9",
"52",
"336",
"2304",
"16368",
"118976",
"878592",
"6562816",
"49447424",
"375072768",
"2860343296",
"21909012480",
"168425533440",
"1298753372160",
"10041201131520",
"77809145610240",
"604138825973760",
"4698956908462080",
"36604934482821120"
] |
[
"nonn",
"nice"
] | 14 | 0 | 2 |
[
"A000257",
"A003584",
"A005470",
"A069720"
] | null |
Valery A. Liskovets
| 2017-08-03T01:56:28 |
oeisdata/seq/A003/A003584.seq
|
900958bde5230a727e3f27e4356f6cb5
|
A003585
|
Odd numbers that are not of the form x^2 + y^2 + 10*z^2.
|
[
"3",
"7",
"21",
"31",
"33",
"43",
"67",
"79",
"87",
"133",
"217",
"219",
"223",
"253",
"307",
"391",
"679",
"2719"
] |
[
"nonn",
"fini",
"full",
"nice"
] | 41 | 1 | 1 |
[
"A002145",
"A003585"
] | null |
N. J. A. Sloane
| 2024-07-12T09:51:41 |
oeisdata/seq/A003/A003585.seq
|
f980f5345d527a1eefa2d26edb9cf32b
|
A003586
|
3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.
|
[
"1",
"2",
"3",
"4",
"6",
"8",
"9",
"12",
"16",
"18",
"24",
"27",
"32",
"36",
"48",
"54",
"64",
"72",
"81",
"96",
"108",
"128",
"144",
"162",
"192",
"216",
"243",
"256",
"288",
"324",
"384",
"432",
"486",
"512",
"576",
"648",
"729",
"768",
"864",
"972",
"1024",
"1152",
"1296",
"1458",
"1536",
"1728",
"1944",
"2048",
"2187",
"2304",
"2592",
"2916",
"3072",
"3456",
"3888"
] |
[
"nonn",
"easy",
"nice"
] | 385 | 1 | 2 |
[
"A000244",
"A002473",
"A003586",
"A007694",
"A022330",
"A022331",
"A025613",
"A036561",
"A051037",
"A051038",
"A061987",
"A062051",
"A080197",
"A080681",
"A080682",
"A080683",
"A088468",
"A090184",
"A105420",
"A117220",
"A117221",
"A117222",
"A131096",
"A131097",
"A186711",
"A186712",
"A186771",
"A191475",
"A191476",
"A221363",
"A235365",
"A235366",
"A236210"
] | null |
Paul Zimmermann, Dec 11 1996
| 2025-04-24T13:34:11 |
oeisdata/seq/A003/A003586.seq
|
c21e055ae45ebedd9aaa5a06c3968d79
|
A003587
|
Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.
|
[
"1",
"5",
"10",
"50",
"100",
"500",
"1000",
"2",
"4",
"6",
"9",
"11",
"15",
"20",
"40",
"51",
"55",
"60",
"90",
"101",
"105",
"110",
"150",
"200",
"400",
"501",
"505",
"510",
"550",
"600",
"900",
"1001",
"1005",
"1010",
"1050",
"1100",
"1500",
"2000",
"3",
"7",
"12",
"14",
"16",
"19",
"21",
"25",
"30",
"41",
"45",
"52",
"54",
"56",
"59",
"61",
"65",
"70",
"91",
"95",
"102",
"104",
"106",
"109",
"111",
"115",
"120",
"140",
"151"
] |
[
"nonn",
"base",
"fini",
"full",
"look"
] | 37 | 1 | 2 |
[
"A003587",
"A003588",
"A006968",
"A036746",
"A061493"
] | null |
N. J. A. Sloane, J. H. Conway and John Jackson (ab158(AT)freenet.uchsc.edu)
| 2024-03-19T11:47:49 |
oeisdata/seq/A003/A003587.seq
|
6cccc4a987cf64ed2f5bc5576194243f
|
A003588
|
Roman numerals with 1 letter, in alphabetical order; then those with 2 letters, etc.
|
[
"100",
"500",
"1",
"50",
"1000",
"5",
"10",
"200",
"400",
"101",
"150",
"900",
"105",
"110",
"600",
"501",
"550",
"505",
"510",
"2",
"4",
"9",
"51",
"55",
"60",
"1100",
"1500",
"1001",
"1050",
"2000",
"1005",
"1010",
"6",
"90",
"11",
"40",
"15",
"20",
"300",
"201",
"250",
"205",
"210",
"401",
"450",
"405",
"410",
"102",
"104",
"109",
"151",
"155",
"160",
"901",
"950",
"905",
"910",
"106"
] |
[
"nonn",
"base",
"fini",
"full",
"look"
] | 30 | 1 | 1 |
[
"A003587",
"A003588",
"A006968",
"A036746",
"A061493"
] | null |
N. J. A. Sloane, J. H. Conway and John Jackson (ab158(AT)freenet.uchsc.edu)
| 2024-03-19T17:21:39 |
oeisdata/seq/A003/A003588.seq
|
92ec35b0e0444517c14fc2bb2dcf40f0
|
A003589
|
a(n) has the property that the sequence b(n) = number of 2's between successive 3's is the same as the original sequence.
|
[
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"2"
] |
[
"nonn"
] | 3 | 0 | 1 | null | null |
Hareendra Yalamanchili (hyalaman(AT)MIT.EDU)
| 2003-05-16T03:00:00 |
oeisdata/seq/A003/A003589.seq
|
56b46d284e4583357bbf8ad1b36c419a
|
A003590
|
Rows of Pascal's triangle written as a single number.
|
[
"1",
"11",
"121",
"1331",
"14641",
"15101051",
"1615201561",
"172135352171",
"18285670562881",
"193684126126843691",
"1104512021025221012045101",
"1115516533046246233016555111",
"1126622049579292479249522066121",
"11378286715128717161716128771528678131"
] |
[
"nonn",
"easy",
"base"
] | 36 | 0 | 2 |
[
"A003590",
"A007318"
] | null |
Matthew Wells (mwells(AT)nmt.edu)
| 2025-06-03T01:14:35 |
oeisdata/seq/A003/A003590.seq
|
007b13d7e5d714003759ce2a8c3f3cd9
|
A003591
|
Numbers of form 2^i*7^j, with i, j >= 0.
|
[
"1",
"2",
"4",
"7",
"8",
"14",
"16",
"28",
"32",
"49",
"56",
"64",
"98",
"112",
"128",
"196",
"224",
"256",
"343",
"392",
"448",
"512",
"686",
"784",
"896",
"1024",
"1372",
"1568",
"1792",
"2048",
"2401",
"2744",
"3136",
"3584",
"4096",
"4802",
"5488",
"6272",
"7168",
"8192",
"9604",
"10976",
"12544",
"14336",
"16384",
"16807",
"19208",
"21952",
"25088"
] |
[
"nonn",
"changed"
] | 61 | 1 | 2 |
[
"A003586",
"A003591",
"A003592",
"A003593",
"A003594",
"A003595",
"A025637",
"A025664"
] | null |
N. J. A. Sloane
| 2025-07-06T10:33:39 |
oeisdata/seq/A003/A003591.seq
|
ad40d92507294888404d6bb51aac3f9d
|
A003592
|
Numbers of the form 2^i*5^j with i, j >= 0.
|
[
"1",
"2",
"4",
"5",
"8",
"10",
"16",
"20",
"25",
"32",
"40",
"50",
"64",
"80",
"100",
"125",
"128",
"160",
"200",
"250",
"256",
"320",
"400",
"500",
"512",
"625",
"640",
"800",
"1000",
"1024",
"1250",
"1280",
"1600",
"2000",
"2048",
"2500",
"2560",
"3125",
"3200",
"4000",
"4096",
"5000",
"5120",
"6250",
"6400",
"8000",
"8192",
"10000",
"10240",
"12500",
"12800"
] |
[
"nonn",
"easy",
"changed"
] | 118 | 1 | 2 |
[
"A003586",
"A003591",
"A003592",
"A003593",
"A003594",
"A003595",
"A022332",
"A022333",
"A085837",
"A094958",
"A164768",
"A257997"
] | null |
N. J. A. Sloane
| 2025-07-06T10:27:42 |
oeisdata/seq/A003/A003592.seq
|
2faaf2584ac8ea6030fb74f59a13936a
|
A003593
|
Numbers of the form 3^i*5^j with i, j >= 0.
|
[
"1",
"3",
"5",
"9",
"15",
"25",
"27",
"45",
"75",
"81",
"125",
"135",
"225",
"243",
"375",
"405",
"625",
"675",
"729",
"1125",
"1215",
"1875",
"2025",
"2187",
"3125",
"3375",
"3645",
"5625",
"6075",
"6561",
"9375",
"10125",
"10935",
"15625",
"16875",
"18225",
"19683",
"28125",
"30375",
"32805",
"46875",
"50625",
"54675",
"59049"
] |
[
"nonn"
] | 60 | 1 | 2 |
[
"A003593",
"A022336",
"A022337",
"A033849",
"A108347",
"A112751",
"A112756",
"A143202",
"A264997",
"A264998"
] | null |
N. J. A. Sloane
| 2024-10-23T00:41:50 |
oeisdata/seq/A003/A003593.seq
|
fc74ba3064031fa229ddebe1285c6e84
|
A003594
|
Numbers of the form 3^i*7^j with i, j >= 0.
|
[
"1",
"3",
"7",
"9",
"21",
"27",
"49",
"63",
"81",
"147",
"189",
"243",
"343",
"441",
"567",
"729",
"1029",
"1323",
"1701",
"2187",
"2401",
"3087",
"3969",
"5103",
"6561",
"7203",
"9261",
"11907",
"15309",
"16807",
"19683",
"21609",
"27783",
"35721",
"45927",
"50421",
"59049",
"64827",
"83349",
"107163",
"117649"
] |
[
"nonn",
"changed"
] | 63 | 1 | 2 |
[
"A003586",
"A003591",
"A003592",
"A003593",
"A003594",
"A003595",
"A025642",
"A025665"
] | null |
N. J. A. Sloane
| 2025-07-06T10:34:01 |
oeisdata/seq/A003/A003594.seq
|
b013c6f9e6f9f8f01c86d9028b1a2c3d
|
A003595
|
Numbers of the form 5^i*7^j with i, j >= 0.
|
[
"1",
"5",
"7",
"25",
"35",
"49",
"125",
"175",
"245",
"343",
"625",
"875",
"1225",
"1715",
"2401",
"3125",
"4375",
"6125",
"8575",
"12005",
"15625",
"16807",
"21875",
"30625",
"42875",
"60025",
"78125",
"84035",
"109375",
"117649",
"153125",
"214375",
"300125",
"390625",
"420175",
"546875",
"588245",
"765625",
"823543",
"1071875",
"1500625"
] |
[
"nonn",
"changed"
] | 56 | 1 | 2 |
[
"A003586",
"A003592",
"A003593",
"A003594",
"A003595",
"A025652",
"A025667",
"A033851",
"A143207",
"A147571",
"A147580"
] | null |
N. J. A. Sloane
| 2025-07-06T10:34:17 |
oeisdata/seq/A003/A003595.seq
|
662f050c9b949c780f2a67c3188fdb41
|
A003596
|
Numbers of the form 2^i * 11^j.
|
[
"1",
"2",
"4",
"8",
"11",
"16",
"22",
"32",
"44",
"64",
"88",
"121",
"128",
"176",
"242",
"256",
"352",
"484",
"512",
"704",
"968",
"1024",
"1331",
"1408",
"1936",
"2048",
"2662",
"2816",
"3872",
"4096",
"5324",
"5632",
"7744",
"8192",
"10648",
"11264",
"14641",
"15488",
"16384",
"21296",
"22528",
"29282",
"30976",
"32768"
] |
[
"nonn",
"easy"
] | 60 | 1 | 2 |
[
"A003596",
"A003597",
"A003598",
"A003599",
"A025612",
"A025616",
"A025621",
"A025625",
"A025629",
"A025632",
"A025634",
"A025635",
"A107788",
"A107988",
"A108090",
"A108687",
"A108698",
"A108761",
"A108779"
] | null |
N. J. A. Sloane
| 2025-04-21T08:37:08 |
oeisdata/seq/A003/A003596.seq
|
b5238d835f07b1ad5445a820abda9fbd
|
A003597
|
Numbers of the form 3^i*11^j.
|
[
"1",
"3",
"9",
"11",
"27",
"33",
"81",
"99",
"121",
"243",
"297",
"363",
"729",
"891",
"1089",
"1331",
"2187",
"2673",
"3267",
"3993",
"6561",
"8019",
"9801",
"11979",
"14641",
"19683",
"24057",
"29403",
"35937",
"43923",
"59049",
"72171",
"88209",
"107811",
"131769",
"161051",
"177147",
"216513",
"264627",
"323433"
] |
[
"nonn",
"easy"
] | 34 | 1 | 2 |
[
"A003596",
"A003597",
"A003598",
"A003599",
"A025612",
"A025616",
"A025621",
"A025625",
"A025629",
"A025632",
"A025634",
"A025635",
"A107788",
"A107988",
"A108090",
"A108687",
"A108698",
"A108761",
"A108779"
] | null |
N. J. A. Sloane
| 2023-10-22T16:25:36 |
oeisdata/seq/A003/A003597.seq
|
5487fa4da1c14d9881c13d00b381a1b3
|
A003598
|
Numbers of the form 5^i * 11^j.
|
[
"1",
"5",
"11",
"25",
"55",
"121",
"125",
"275",
"605",
"625",
"1331",
"1375",
"3025",
"3125",
"6655",
"6875",
"14641",
"15125",
"15625",
"33275",
"34375",
"73205",
"75625",
"78125",
"161051",
"166375",
"171875",
"366025",
"378125",
"390625",
"805255",
"831875",
"859375",
"1771561",
"1830125",
"1890625"
] |
[
"nonn",
"easy"
] | 47 | 1 | 2 |
[
"A003596",
"A003597",
"A003598",
"A003599",
"A025612",
"A025616",
"A025621",
"A025625",
"A025629",
"A025632",
"A025634",
"A025635",
"A107788",
"A107988",
"A108090",
"A108687",
"A108698",
"A108761",
"A108779"
] | null |
N. J. A. Sloane
| 2022-09-08T08:44:32 |
oeisdata/seq/A003/A003598.seq
|
b7ccc0a5482f7f703a35d7d6adc415d4
|
A003599
|
Numbers of the form 7^i*11^j.
|
[
"1",
"7",
"11",
"49",
"77",
"121",
"343",
"539",
"847",
"1331",
"2401",
"3773",
"5929",
"9317",
"14641",
"16807",
"26411",
"41503",
"65219",
"102487",
"117649",
"161051",
"184877",
"290521",
"456533",
"717409",
"823543",
"1127357",
"1294139",
"1771561",
"2033647",
"3195731",
"5021863",
"5764801"
] |
[
"nonn",
"easy"
] | 31 | 1 | 2 |
[
"A003596",
"A003597",
"A003598",
"A003599",
"A025612",
"A025616",
"A025621",
"A025625",
"A025629",
"A025632",
"A025634",
"A025635",
"A107788",
"A107988",
"A108090",
"A108687",
"A108698",
"A108761",
"A108779"
] | null |
N. J. A. Sloane
| 2023-10-22T16:26:05 |
oeisdata/seq/A003/A003599.seq
|
19be9d669f93a6de5848805235b9b12f
|
A003600
|
Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).
|
[
"1",
"2",
"6",
"13",
"24",
"40",
"62",
"91",
"128",
"174",
"230",
"297",
"376",
"468",
"574",
"695",
"832",
"986",
"1158",
"1349",
"1560",
"1792",
"2046",
"2323",
"2624",
"2950",
"3302",
"3681",
"4088",
"4524",
"4990",
"5487",
"6016",
"6578",
"7174",
"7805",
"8472",
"9176",
"9918",
"10699",
"11520",
"12382",
"13286",
"14233",
"15224"
] |
[
"nonn",
"easy",
"nice"
] | 92 | 0 | 2 |
[
"A000124",
"A000125",
"A003600",
"A004148"
] |
[
"M1594"
] |
N. J. A. Sloane, Mira Bernstein
| 2025-07-02T16:01:54 |
oeisdata/seq/A003/A003600.seq
|
c90efd5aaf292700242d757ff3f54df9
|
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