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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A365101
|
Number of distinct residues of x^n (mod n^4), x=0..n^4-1.
|
[
"1",
"4",
"21",
"18",
"101",
"30",
"295",
"130",
"487",
"153",
"1211",
"170",
"2029",
"444",
"1919",
"1025",
"4625",
"732",
"6499",
"442",
"1881",
"1818",
"11639",
"1290",
"12501",
"3045",
"13123",
"2516",
"23549",
"1530",
"28831",
"8193",
"23009",
"6939",
"29795",
"4148",
"49285",
"9750",
"12863",
"3354",
"67241",
"1500",
"77659",
"10302",
"49187",
"17460",
"101615"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A023105",
"A046631",
"A195637",
"A365099",
"A365100",
"A365101",
"A365102",
"A365103",
"A365104"
] | null |
Albert Mukovskiy, Aug 21 2023
| 2023-08-24T02:42:22 |
oeisdata/seq/A365/A365101.seq
|
8215bcd0c6f82407411e6b2e6a3f28a0
|
A365102
|
Number of distinct residues of x^n (mod n^5), x=0..n^5-1.
|
[
"1",
"7",
"57",
"70",
"501",
"140",
"2059",
"1029",
"4377",
"1255",
"13311",
"1820",
"26365",
"5150",
"27555",
"16386",
"78609",
"10940",
"123463",
"8190",
"37785",
"33280",
"267675",
"28700",
"312501",
"65915",
"354295",
"66950",
"682893",
"35140",
"893731",
"262145",
"732105",
"196525",
"1031559",
"142220",
"1823509",
"308660"
] |
[
"nonn"
] | 23 | 1 | 2 |
[
"A195637",
"A365099",
"A365100",
"A365101",
"A365102",
"A365103",
"A365104"
] | null |
Albert Mukovskiy, Aug 22 2023
| 2023-09-10T15:28:53 |
oeisdata/seq/A365/A365102.seq
|
5b0d159c638c247b39b36941683a2fa8
|
A365103
|
Number of distinct quartic residues x^4 (mod 4^n), x=0..4^n-1.
|
[
"1",
"2",
"2",
"6",
"18",
"70",
"274",
"1094",
"4370",
"17478",
"69906",
"279622",
"1118482",
"4473926",
"17895698",
"71582790",
"286331154",
"1145324614",
"4581298450",
"18325193798",
"73300775186",
"293203100742",
"1172812402962",
"4691249611846",
"18764998447378"
] |
[
"nonn"
] | 51 | 0 | 2 |
[
"A023105",
"A046631",
"A195637",
"A319281",
"A364811",
"A365103",
"A365104"
] | null |
Albert Mukovskiy, Aug 24 2023
| 2024-02-21T10:47:24 |
oeisdata/seq/A365/A365103.seq
|
6732a72e4552bfcd0d1330c7581175cf
|
A365104
|
Number of distinct quintic residues x^5 (mod 5^n), x=0..5^n-1.
|
[
"1",
"5",
"5",
"21",
"101",
"501",
"2505",
"12505",
"62521",
"312601",
"1563001",
"7815005",
"39075005",
"195375021",
"976875101",
"4884375501",
"24421877505",
"122109387505",
"610546937521",
"3052734687601",
"15263673438001",
"76318367190005",
"381591835950005",
"1907959179750021",
"9539795898750101",
"47698979493750501",
"238494897468752505",
"1192474487343762505",
"5962372436718812521",
"29811862183594062601"
] |
[
"nonn",
"easy"
] | 57 | 0 | 2 |
[
"A023105",
"A046631",
"A195637",
"A365099",
"A365100",
"A365101",
"A365102",
"A365104"
] | null |
Albert Mukovskiy, Aug 24 2023
| 2024-02-20T10:30:45 |
oeisdata/seq/A365/A365104.seq
|
5f07467fdcaf9f2c2da016b340b3fe1d
|
A365105
|
Continued fraction expansion of 1/(2+3/(4+5/(6+7/(...)))) = A113014.
|
[
"0",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"10",
"2",
"2",
"66",
"1",
"1",
"13",
"66",
"9",
"5",
"8",
"1",
"9",
"1",
"1",
"1",
"5",
"2",
"2",
"3",
"1",
"1",
"1",
"16",
"99",
"6",
"1",
"5",
"1",
"2",
"1",
"55",
"2",
"2",
"1",
"1",
"6",
"4",
"1",
"1",
"1",
"40",
"1",
"1",
"1",
"6",
"14",
"7",
"9",
"1",
"1",
"2",
"3",
"2",
"2",
"2",
"1",
"1",
"2",
"7",
"12",
"1",
"2",
"2",
"1",
"4",
"2",
"4",
"2",
"1",
"3",
"2",
"1",
"10",
"7",
"1",
"4",
"1",
"119",
"1",
"1",
"1",
"3",
"5",
"2",
"12",
"1"
] |
[
"nonn",
"cofr"
] | 15 | 0 | 2 |
[
"A113014",
"A365105",
"A365116"
] | null |
Rok Cestnik, Aug 21 2023
| 2023-08-22T07:56:55 |
oeisdata/seq/A365/A365105.seq
|
139f6a665b465c25b55e5cedce570b9d
|
A365106
|
Sum_{n>=0} a(n) * x^n / n!^2 = exp( Sum_{n>=1} prime(n) * x^n / n!^2 ).
|
[
"1",
"2",
"11",
"107",
"1577",
"32201",
"860460",
"28921567",
"1187475909",
"58232016701",
"3350187053856",
"222857979706305",
"16935374386652282",
"1455271176236200143",
"140181486948923188907",
"15023106134895469195114",
"1779460642743292348315607",
"231607462899834684300774917",
"32954119475274480307491604062",
"5102159139278049158548905019487"
] |
[
"nonn"
] | 4 | 0 | 2 |
[
"A007446",
"A023998",
"A365106"
] | null |
Ilya Gutkovskiy, Aug 21 2023
| 2023-08-24T10:33:59 |
oeisdata/seq/A365/A365106.seq
|
6c14cf92a8feb05ebf4e8a7f8efd03fd
|
A365107
|
Sum_{n>=0} a(n) * x^n / n!^2 = exp( Sum_{n>=1} x^prime(n) / prime(n)!^2 ).
|
[
"1",
"0",
"1",
"1",
"18",
"101",
"1550",
"22492",
"424536",
"10283064",
"272319552",
"8959493401",
"328044534576",
"13799304374077",
"657306569855728",
"34694458662034731",
"2048559070407831424",
"132868259271772801185",
"9463476338179250300352",
"736376651361995115417850",
"62178423492630241909006224",
"5689134205956573233701281462"
] |
[
"nonn"
] | 4 | 0 | 5 |
[
"A023998",
"A190476",
"A365107"
] | null |
Ilya Gutkovskiy, Aug 21 2023
| 2023-08-24T10:34:07 |
oeisdata/seq/A365/A365107.seq
|
994ec2c27c49cb8ef9b75ae4cc14a494
|
A365108
|
a(n) is the smallest integer value of (p^n - q^n)/n for all choices of integers p > q >= 0.
|
[
"1",
"2",
"9",
"4",
"625",
"672",
"117649",
"32",
"2187",
"5941760",
"25937424601",
"1397760",
"23298085122481",
"308548739072",
"29192926025390625",
"4096",
"48661191875666868481",
"3817734144",
"104127350297911241532841",
"174339220",
"209430786243",
"24639156314201655345152",
"907846434775996175406740561329"
] |
[
"nonn"
] | 50 | 1 | 2 |
[
"A000169",
"A020725",
"A055860",
"A365108"
] | null |
Felix Huber, Aug 21 2023
| 2024-04-04T11:10:36 |
oeisdata/seq/A365/A365108.seq
|
c86724c0d7ceb170b91f3da877fc7158
|
A365109
|
G.f. satisfies A(x) = 1 + x / (1 + x*A(x))^2.
|
[
"1",
"1",
"-2",
"1",
"6",
"-18",
"8",
"89",
"-266",
"62",
"1684",
"-4710",
"-220",
"35648",
"-91236",
"-34871",
"803302",
"-1856874",
"-1448844",
"18809694",
"-38816620",
"-48910700",
"451491680",
"-820626294",
"-1522994404",
"11015923292",
"-17319046712",
"-45512957516",
"271664145264",
"-359911736252",
"-1327355044924"
] |
[
"sign"
] | 10 | 0 | 3 |
[
"A007440",
"A365085",
"A365109",
"A365110",
"A365111",
"A365112"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:56:59 |
oeisdata/seq/A365/A365109.seq
|
6d40f8d7007acfe242b87da72a5322a8
|
A365110
|
G.f. satisfies A(x) = 1 + x / (1 + x*A(x))^3.
|
[
"1",
"1",
"-3",
"3",
"11",
"-54",
"66",
"297",
"-1575",
"1980",
"10300",
"-55392",
"68352",
"403583",
"-2153685",
"2551845",
"16999045",
"-89142087",
"99986901",
"750955382",
"-3850437018",
"4041467331",
"34310059311",
"-171533033904",
"166630375248",
"1607168518073",
"-7821913867611",
"6950050797297"
] |
[
"sign"
] | 9 | 0 | 3 |
[
"A007440",
"A365086",
"A365109",
"A365110",
"A365111",
"A365112"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:21 |
oeisdata/seq/A365/A365110.seq
|
29f0d9a99c943f7b8a21731ed3c00764
|
A365111
|
G.f. satisfies A(x) = 1 + x / (1 + x*A(x))^4.
|
[
"1",
"1",
"-4",
"6",
"16",
"-119",
"240",
"630",
"-5656",
"13044",
"31568",
"-323102",
"816172",
"1772553",
"-20373748",
"55339784",
"105991968",
"-1366239119",
"3950894080",
"6570520544",
"-95534073488",
"292319792622",
"414994066768",
"-6884779019086",
"22198354364212",
"26341578132594",
"-507524582140912"
] |
[
"sign"
] | 9 | 0 | 3 |
[
"A007440",
"A365087",
"A365109",
"A365110",
"A365111",
"A365112"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:17 |
oeisdata/seq/A365/A365111.seq
|
2f654a9c12c1ef8c8e94032eae570d8b
|
A365112
|
G.f. satisfies A(x) = 1 + x / (1 + x*A(x))^5.
|
[
"1",
"1",
"-5",
"10",
"20",
"-220",
"624",
"940",
"-15220",
"52090",
"49310",
"-1254070",
"4951430",
"2039640",
"-113088840",
"505430700",
"-42379684",
"-10748423405",
"53899438385",
"-29300595085",
"-1054751754795",
"5914944193114",
"-5760460624890",
"-105478270711140",
"661900612108440",
"-914408777470140"
] |
[
"sign"
] | 9 | 0 | 3 |
[
"A007440",
"A365088",
"A365109",
"A365110",
"A365111",
"A365112"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:03 |
oeisdata/seq/A365/A365112.seq
|
244125d8de350beb94a88afbb2ec2fef
|
A365113
|
G.f. satisfies A(x) = 1 + x / (1 - x*A(x))^3.
|
[
"1",
"1",
"3",
"9",
"31",
"114",
"438",
"1739",
"7077",
"29364",
"123756",
"528324",
"2279868",
"9928679",
"43580301",
"192601419",
"856317717",
"3827501985",
"17188943523",
"77521747638",
"350959738842",
"1594390493067",
"7266093316649",
"33209221327752",
"152182572790008",
"699083290518817",
"3218624408121555"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A000108",
"A161797",
"A365110",
"A365113",
"A365114",
"A365115"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:31 |
oeisdata/seq/A365/A365113.seq
|
3281ee6e3241145012f0a747e982bc0c
|
A365114
|
G.f. satisfies A(x) = 1 + x / (1 - x*A(x))^4.
|
[
"1",
"1",
"4",
"14",
"56",
"241",
"1080",
"4998",
"23704",
"114588",
"562552",
"2797138",
"14057140",
"71288385",
"364360204",
"1874960408",
"9706035408",
"50510552881",
"264096980192",
"1386676113360",
"7308650513232",
"38654087828310",
"205076534841112",
"1091144400876394",
"5820924498941668"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A000108",
"A321798",
"A365111",
"A365113",
"A365114",
"A365115"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:12 |
oeisdata/seq/A365/A365114.seq
|
4348f1f8b989d2788672f1f58c7b0058
|
A365115
|
G.f. satisfies A(x) = 1 + x / (1 - x*A(x))^5.
|
[
"1",
"1",
"5",
"20",
"90",
"440",
"2236",
"11720",
"62960",
"344690",
"1916170",
"10787762",
"61380770",
"352410760",
"2039099640",
"11878519460",
"69608606348",
"410056995475",
"2426936098575",
"14424334077975",
"86055337016695",
"515170271387970",
"3093724519080210",
"18631778892165080"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A000108",
"A321799",
"A365112",
"A365113",
"A365114",
"A365115"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T07:57:08 |
oeisdata/seq/A365/A365115.seq
|
b76eac332eab7c1053602783c7b0cef1
|
A365116
|
Greedy Egyptian fraction expansion of 1/(2+3/(4+5/(6+7/(...)))) = A113014.
|
[
"3",
"22",
"1060",
"1471180",
"4470565318951",
"21387196871513452925199541",
"508406155285302398938678134812723800438323137635884",
"293206664431782985993415302840424364324000216460330294129310314248712028637333711113413230006858255456"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A113014",
"A365105",
"A365116"
] | null |
Rok Cestnik, Aug 22 2023
| 2023-08-22T08:39:37 |
oeisdata/seq/A365/A365116.seq
|
714610da5b0486833e2fae77f61139e3
|
A365117
|
a(1) = 1. Thereafter a(n) is the least novel multiple m of the smallest prime which does not divide a(n-1) and such that m is coprime to a(n-1).
|
[
"1",
"2",
"3",
"4",
"9",
"8",
"15",
"14",
"27",
"10",
"21",
"16",
"33",
"20",
"39",
"22",
"45",
"26",
"51",
"28",
"57",
"32",
"63",
"34",
"69",
"38",
"75",
"44",
"81",
"40",
"87",
"46",
"93",
"50",
"99",
"52",
"105",
"58",
"111",
"56",
"117",
"62",
"123",
"64",
"129",
"68",
"135",
"74",
"141",
"70",
"153",
"76",
"147",
"80",
"159",
"82",
"165",
"86",
"171",
"88",
"177",
"92",
"183",
"94"
] |
[
"nonn"
] | 19 | 1 | 2 |
[
"A047228",
"A351495",
"A365117"
] | null |
David James Sycamore, Aug 22 2023
| 2023-08-24T10:20:53 |
oeisdata/seq/A365/A365117.seq
|
7f567549b60d0e09dd53f6c8f95037a2
|
A365118
|
G.f. satisfies A(x) = (1 + x / (1 - x*A(x)))^2.
|
[
"1",
"2",
"3",
"8",
"23",
"72",
"237",
"808",
"2830",
"10118",
"36779",
"135510",
"504935",
"1899494",
"7204238",
"27517766",
"105761937",
"408715018",
"1587169591",
"6190357852",
"24238696551",
"95244997612",
"375469654543",
"1484519159122",
"5885302251250",
"23389997790804",
"93172394487012"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A001006",
"A161634",
"A365118",
"A365119",
"A378801"
] | null |
Seiichi Manyama, Aug 22 2023
| 2024-12-09T11:17:41 |
oeisdata/seq/A365/A365118.seq
|
77ccfb729beda699cf6d440be1c87be8
|
A365119
|
G.f. satisfies A(x) = (1 + x / (1 - x*A(x)))^3.
|
[
"1",
"3",
"6",
"19",
"69",
"267",
"1093",
"4629",
"20142",
"89473",
"404076",
"1849746",
"8563558",
"40025574",
"188612388",
"895115942",
"4274453904",
"20523807009",
"99025615998",
"479874362583",
"2334582421497",
"11398055887003",
"55828060595832",
"274254002718255",
"1350907899813921",
"6670789629569022"
] |
[
"nonn"
] | 7 | 0 | 2 |
[
"A001006",
"A365118",
"A365119"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T14:15:02 |
oeisdata/seq/A365/A365119.seq
|
9450578e17bab0e53cca8d70bb8d2108
|
A365120
|
G.f. A(x) satisfies A(x) = (1 + x / (1 - x*A(x))^2)^2.
|
[
"1",
"2",
"5",
"18",
"70",
"294",
"1291",
"5864",
"27314",
"129766",
"626367",
"3063096",
"15143562",
"75563924",
"380062186",
"1924840480",
"9807649900",
"50241194250",
"258597717591",
"1336730670244",
"6936403057274",
"36119232561000",
"188677598254078",
"988464846388710",
"5192270327405662"
] |
[
"nonn"
] | 14 | 0 | 2 |
[
"A000108",
"A006013",
"A365118",
"A365120",
"A365121",
"A365123",
"A367236"
] | null |
Seiichi Manyama, Aug 22 2023
| 2024-12-06T06:58:54 |
oeisdata/seq/A365/A365120.seq
|
201215676957c24885b501b3f7327ca4
|
A365121
|
G.f. A(x) satisfies A(x) = (1 + x / (1 - x*A(x))^2)^3.
|
[
"1",
"3",
"9",
"40",
"192",
"993",
"5375",
"30081",
"172650",
"1010640",
"6010530",
"36214656",
"220590082",
"1356131892",
"8403647454",
"52436122717",
"329170499604",
"2077465903503",
"13173914483799",
"83897445169341",
"536355204428412",
"3440875097256529",
"22144300030907667"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A000108",
"A365119",
"A365120",
"A365121",
"A365122",
"A367242"
] | null |
Seiichi Manyama, Aug 22 2023
| 2024-12-06T06:59:38 |
oeisdata/seq/A365/A365121.seq
|
8e5d8f5a40ed416eeec95695742aae01
|
A365122
|
G.f. A(x) satisfies A(x) = (1 + x / (1 - x*A(x))^3)^3.
|
[
"1",
"3",
"12",
"64",
"372",
"2319",
"15105",
"101649",
"701073",
"4929657",
"35207220",
"254690517",
"1862325262",
"13742311074",
"102204992352",
"765328009950",
"5765316776550",
"43661497944861",
"332217854059362",
"2538540859615095",
"19471592691620310",
"149871698475060433",
"1157188723053901449"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A006013",
"A365113",
"A365119",
"A365121",
"A365122",
"A371616"
] | null |
Seiichi Manyama, Aug 22 2023
| 2024-12-06T06:59:34 |
oeisdata/seq/A365/A365122.seq
|
1cf1d82d812184be5a7d10d64e4d637c
|
A365123
|
G.f. satisfies A(x) = (1 + x / (1 - x*A(x))^4)^2.
|
[
"1",
"2",
"9",
"44",
"244",
"1438",
"8858",
"56340",
"367160",
"2438934",
"16453015",
"112411836",
"776258588",
"5409237100",
"37988571802",
"268606426836",
"1910584687932",
"13661702623498",
"98148312810335",
"708092115326436",
"5127976641997944",
"37264674894021280",
"271650189521574734"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A006632",
"A365114",
"A365123",
"A365124"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T13:18:45 |
oeisdata/seq/A365/A365123.seq
|
e799c2f15c20336db4efffc0bac1bdce
|
A365124
|
G.f. satisfies A(x) = (1 + x / (1 - x*A(x))^4)^4.
|
[
"1",
"4",
"22",
"156",
"1209",
"10020",
"86724",
"775044",
"7096652",
"66232980",
"627749066",
"6025752664",
"58459917618",
"572315274540",
"5646713239840",
"56091780016288",
"560513824012020",
"5630664768126388",
"56829055796539462",
"575981263878482204",
"5859952654335118851"
] |
[
"nonn"
] | 8 | 0 | 2 |
[
"A006632",
"A365114",
"A365123",
"A365124"
] | null |
Seiichi Manyama, Aug 22 2023
| 2023-08-22T13:18:33 |
oeisdata/seq/A365/A365124.seq
|
c255f42ca43e600ef510e472af912245
|
A365125
|
Put a positive charge at 0 and a negative charge at 1, then keep adding alternating charges at points of zero potential; this is the decimal expansion of the limit.
|
[
"6",
"8",
"7",
"8",
"4",
"1",
"8",
"1",
"0",
"3",
"2",
"8",
"3",
"8",
"9",
"2",
"6",
"3",
"2",
"7",
"1",
"3",
"4",
"4",
"0",
"4",
"4",
"0",
"9",
"8",
"8",
"3",
"3",
"4",
"8",
"6",
"1",
"1",
"5",
"8",
"3",
"9",
"7",
"9",
"4",
"8",
"7",
"6",
"6",
"8",
"9",
"5",
"4",
"1",
"1",
"7",
"4",
"7",
"5",
"8",
"6",
"6",
"9",
"4",
"4",
"1",
"0",
"7",
"8",
"5",
"2",
"8",
"1",
"7",
"2",
"1",
"2",
"4",
"7",
"5",
"3",
"8",
"9",
"1",
"0",
"8",
"7",
"9",
"1",
"2",
"6",
"5",
"7",
"8",
"9",
"7",
"8",
"5",
"3",
"6"
] |
[
"nonn",
"cons"
] | 31 | 0 | 1 | null | null |
Rok Cestnik, Aug 22 2023
| 2023-09-20T07:46:51 |
oeisdata/seq/A365/A365125.seq
|
095f823a807a943aac349e813ca22bf0
|
A365126
|
Number of representations of n as the sum of a prime number and a fourth power of a nonnegative integer.
|
[
"0",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"2",
"2",
"1",
"1",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"2",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"2",
"1",
"0",
"0",
"0",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"2",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"3",
"2",
"0",
"1",
"1",
"1",
"2",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"0",
"1",
"1",
"1",
"2",
"0",
"1",
"2",
"1",
"0",
"0",
"1",
"1",
"1"
] |
[
"nonn"
] | 23 | 1 | 3 |
[
"A002471",
"A302354",
"A365126",
"A365127",
"A365166",
"A365167"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2023-08-30T21:27:00 |
oeisdata/seq/A365/A365126.seq
|
8b2d597d350be3424467f067e01d07b4
|
A365127
|
Numbers that are the sum of a prime number and a fourth power of a nonnegative integer.
|
[
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"11",
"12",
"13",
"14",
"17",
"18",
"19",
"20",
"21",
"23",
"24",
"27",
"29",
"30",
"31",
"32",
"33",
"35",
"37",
"38",
"39",
"41",
"42",
"43",
"44",
"45",
"47",
"48",
"53",
"54",
"57",
"59",
"60",
"61",
"62",
"63",
"67",
"68",
"69",
"71",
"72",
"73",
"74",
"75",
"77",
"79",
"80",
"83",
"84",
"86",
"87",
"88",
"89",
"90",
"92",
"94",
"95",
"97",
"98",
"99",
"100"
] |
[
"nonn"
] | 25 | 1 | 1 |
[
"A014089",
"A307646",
"A365126",
"A365127",
"A365166",
"A365168"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2023-08-30T21:27:16 |
oeisdata/seq/A365/A365127.seq
|
d229edbfa29b707ee32d14d4f46aed01
|
A365128
|
G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x)))^3.
|
[
"1",
"3",
"15",
"88",
"567",
"3876",
"27607",
"202653",
"1522365",
"11647038",
"90435804",
"710855544",
"5645365576",
"45228648078",
"365109237801",
"2966862631856",
"24248879149005",
"199213507774365",
"1644138419038500",
"13625326165675698",
"113336685917785332",
"945931091151789808"
] |
[
"nonn"
] | 17 | 0 | 2 |
[
"A001006",
"A019497",
"A143927",
"A255673",
"A365128"
] | null |
Seiichi Manyama, Aug 23 2023
| 2024-09-20T12:27:47 |
oeisdata/seq/A365/A365128.seq
|
a39d13ae4edec2a35aa170975b5c947d
|
A365129
|
G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x))^2)^2.
|
[
"1",
"2",
"9",
"44",
"240",
"1386",
"8346",
"51802",
"329086",
"2129330",
"13984095",
"92974510",
"624568680",
"4232731050",
"28904102829",
"198688337014",
"1373763563150",
"9547516671684",
"66660156446189",
"467342635522698",
"3288691828900768",
"23220922841177476",
"164465227646878689"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A000108",
"A161634",
"A365129",
"A365130",
"A365133"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:29 |
oeisdata/seq/A365/A365129.seq
|
d163b49224423143ef4f44f5fd7817d7
|
A365130
|
G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x))^2)^3.
|
[
"1",
"3",
"18",
"124",
"945",
"7650",
"64592",
"562419",
"5013645",
"45530725",
"419735784",
"3917714430",
"36949853641",
"351597275136",
"3371317098546",
"32542166997655",
"315962469096855",
"3083729075615055",
"30236064140642514",
"297698542934231016",
"2942082095638037148"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A137953",
"A161634",
"A365129",
"A365130"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:25 |
oeisdata/seq/A365/A365130.seq
|
71a21e95be72e815687906bcbde0725d
|
A365131
|
G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x))^3)^2.
|
[
"1",
"2",
"11",
"62",
"395",
"2662",
"18720",
"135738",
"1007607",
"7619456",
"58488028",
"454556544",
"3569655975",
"28282204680",
"225796917864",
"1814732935968",
"14670580718486",
"119215212413412",
"973246346463636",
"7978384233270126",
"65649676250344747",
"542031604244083664"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A137952",
"A364742",
"A365131",
"A365132"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:21 |
oeisdata/seq/A365/A365131.seq
|
748ca37a29f7d3d7ba0c7e5c8912b487
|
A365132
|
G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x))^3)^3.
|
[
"1",
"3",
"21",
"163",
"1410",
"12954",
"124197",
"1228269",
"12438504",
"128338224",
"1344328020",
"14258394921",
"152820980120",
"1652596758738",
"18008899150278",
"197566103218974",
"2180167982738235",
"24183969704272350",
"269513577777159816",
"3016075156973165367",
"33879382051847177781"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A001764",
"A364742",
"A365131",
"A365132"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:17 |
oeisdata/seq/A365/A365132.seq
|
72f81956833e5a812a6db8b593afe0ac
|
A365133
|
G.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^2)^2.
|
[
"1",
"2",
"9",
"48",
"284",
"1792",
"11816",
"80446",
"561186",
"3990398",
"28815594",
"210746538",
"1557834174",
"11620294376",
"87357498949",
"661194915408",
"5034368831334",
"38534430714502",
"296341243824737",
"2288568585083816",
"17741278361562738",
"138006870242288796",
"1076905750814353045"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A109081",
"A365120",
"A365133",
"A365134"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:36:18 |
oeisdata/seq/A365/A365133.seq
|
c0c3c24d20c9ccca72e30c7c7bb57be6
|
A365134
|
G.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^2)^3.
|
[
"1",
"3",
"18",
"130",
"1041",
"8889",
"79310",
"730593",
"6895575",
"66337179",
"648087750",
"6412437474",
"64125877361",
"647102364990",
"6581050832082",
"67384499298690",
"694077333315363",
"7186898222178342",
"74767377019254450",
"781105293655408554",
"8191332027277068543"
] |
[
"nonn"
] | 8 | 0 | 2 |
[
"A109081",
"A365121",
"A365133",
"A365134"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:36:14 |
oeisdata/seq/A365/A365134.seq
|
c28c0a0123326fed1d36285ecd2cd972
|
A365135
|
G.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^3)^2.
|
[
"1",
"2",
"11",
"68",
"467",
"3418",
"26133",
"206264",
"1667908",
"13746476",
"115050074",
"975180582",
"8354044986",
"72215867960",
"629139381448",
"5518236646614",
"48689379017014",
"431868759238498",
"3848616161600778",
"34441553184113542",
"309390614528633311",
"2788841905397090626"
] |
[
"nonn"
] | 8 | 0 | 2 |
[
"A006013",
"A161797",
"A365135",
"A365136"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:41 |
oeisdata/seq/A365/A365135.seq
|
947939fe05551d5f9ef627a75cd2b59d
|
A365136
|
G.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^3)^3.
|
[
"1",
"3",
"21",
"172",
"1563",
"15141",
"153240",
"1601160",
"17140686",
"187026210",
"2072333697",
"23255417925",
"263757940688",
"3018654757212",
"34817822871933",
"404324843585061",
"4723248984803013",
"55467143334798210",
"654435356605769574",
"7753961433310798095",
"92220463998917459652"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A161797",
"A365122",
"A365135",
"A365136"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-23T08:34:37 |
oeisdata/seq/A365/A365136.seq
|
fb634ace64811c3658ca696bceee3d31
|
A365137
|
a(n) is the number of n-digit numbers that contain '22' in their decimal representation.
|
[
"0",
"0",
"1",
"18",
"261",
"3411",
"42048",
"499131",
"5770611",
"65427678",
"730784601",
"8065910511",
"88170256008",
"956125498671",
"10298661792111",
"110293085617038",
"1175325726682341",
"12470569310694411",
"131813055336390768",
"1388552621823766611",
"14583291094441416411",
"152746593446386647198"
] |
[
"nonn",
"base",
"easy"
] | 25 | 0 | 4 |
[
"A057092",
"A255372",
"A365137"
] | null |
Felix Huber, Aug 23 2023
| 2023-08-24T10:14:09 |
oeisdata/seq/A365/A365137.seq
|
1f8d85f05906cd4451ef05371b78a1d6
|
A365138
|
Genus of the quotient of the modular curve X_1(n) by the Fricke involution.
|
[
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"2",
"1",
"3",
"1",
"2",
"3",
"5",
"2",
"6",
"4",
"6",
"5",
"10",
"4",
"12",
"8",
"10",
"10",
"11",
"8",
"20",
"13",
"15",
"12",
"24",
"12",
"28",
"17",
"20",
"22",
"33",
"18",
"34",
"23",
"31",
"27",
"45",
"25",
"39",
"29",
"42",
"39",
"56",
"28",
"62",
"44",
"47",
"46",
"59",
"39",
"77",
"51",
"65",
"48",
"85",
"48",
"93",
"66",
"71",
"67",
"89",
"60",
"109"
] |
[
"nonn"
] | 13 | 1 | 17 |
[
"A000003",
"A001617",
"A029937",
"A276183",
"A365138"
] | null |
David Jao, Aug 23 2023
| 2023-09-22T05:37:40 |
oeisdata/seq/A365/A365138.seq
|
1ccad3122b09b785f07e850b5a55ca8d
|
A365139
|
List of free polycubes in binary code (see comments), ordered first by the number of cells, then by the value of the binary code.
|
[
"1",
"3",
"7",
"19",
"15",
"23",
"39",
"43",
"51",
"54",
"1043",
"31",
"47",
"55",
"59",
"87",
"118",
"173",
"179",
"182",
"199",
"230",
"1047",
"1075",
"1078",
"2071",
"2075",
"2149",
"2150",
"2164",
"2214",
"2218",
"6182",
"1049619",
"63",
"95",
"119",
"175",
"183",
"190",
"207",
"215",
"231",
"237",
"238",
"246",
"423",
"430",
"438",
"1055",
"1079",
"1083"
] |
[
"nonn",
"tabf"
] | 7 | 1 | 2 |
[
"A038119",
"A144625",
"A246521",
"A365139",
"A365140",
"A365141"
] | null |
Pontus von Brömssen, Aug 23 2023
| 2023-08-27T10:10:25 |
oeisdata/seq/A365/A365139.seq
|
ff4c6bb8dfca0240274fd91ee68bbd5e
|
A365140
|
List of free 4-dimensional polyhypercubes in binary code (see A365139), ordered first by the number of cells, then by the value of the binary code.
|
[
"1",
"3",
"7",
"35",
"15",
"39",
"71",
"75",
"99",
"102",
"32803",
"31",
"47",
"79",
"91",
"103",
"107",
"167",
"230",
"333",
"355",
"358",
"391",
"454",
"2567",
"32807",
"32867",
"32870",
"65575",
"65579",
"65733",
"65734",
"65764",
"65862",
"65866",
"196678",
"34359771171",
"63",
"95",
"111",
"123",
"175",
"231",
"335",
"343",
"349",
"359",
"366",
"371"
] |
[
"nonn",
"tabf"
] | 4 | 1 | 2 |
[
"A068870",
"A246521",
"A365139",
"A365140",
"A365141"
] | null |
Pontus von Brömssen, Aug 23 2023
| 2023-08-27T10:10:36 |
oeisdata/seq/A365/A365140.seq
|
dbe8b0db13a3d2d5f8411b26556ca30d
|
A365141
|
List of free 5-dimensional polyominoes in binary code (see A365139), ordered first by the number of cells, then by the value of the binary code.
|
[
"1",
"3",
"7",
"67",
"15",
"71",
"135",
"139",
"195",
"198",
"2097219",
"31",
"79",
"143",
"155",
"199",
"203",
"327",
"454",
"653",
"707",
"710",
"775",
"902",
"5127",
"2097223",
"2097347",
"2097350",
"4194375",
"4194379",
"4194693",
"4194694",
"4194756",
"4194950",
"4194954",
"12583046",
"72057594040025155",
"63",
"95",
"159",
"187",
"207"
] |
[
"nonn",
"tabf"
] | 4 | 1 | 2 |
[
"A049430",
"A246521",
"A365139",
"A365140",
"A365141"
] | null |
Pontus von Brömssen, Aug 23 2023
| 2023-08-27T10:10:53 |
oeisdata/seq/A365/A365141.seq
|
94d9aaef37a6abaedb94b2fac8eb6902
|
A365142
|
List of free polyominoes in arbitrary dimension given by an integer code (see comments), ordered first by the number of cells, then by the value of the code.
|
[
"1",
"3",
"7",
"11",
"15",
"23",
"39",
"43",
"46",
"51",
"139",
"31",
"47",
"55",
"59",
"87",
"115",
"143",
"171",
"174",
"271",
"302",
"555",
"558",
"565",
"775",
"806",
"2063",
"2075",
"2341",
"2342",
"2348",
"2598",
"2610",
"24583",
"32907",
"133158",
"63",
"95",
"119",
"123",
"159",
"175",
"187",
"287",
"303",
"399",
"430",
"559",
"567",
"574",
"615",
"619"
] |
[
"nonn",
"tabf"
] | 5 | 1 | 2 |
[
"A005519",
"A365139",
"A365142",
"A365143"
] | null |
Pontus von Brömssen, Aug 25 2023
| 2023-08-27T10:11:04 |
oeisdata/seq/A365/A365142.seq
|
0c1a7bd522e6de3239c9a23edd9503a4
|
A365143
|
Proper dimension of the polyomino with code A365142(n).
|
[
"0",
"1",
"2",
"1",
"2",
"3",
"2",
"2",
"2",
"3",
"1",
"3",
"2",
"3",
"3",
"4",
"4",
"2",
"2",
"2",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"2",
"3",
"2",
"2",
"2",
"3",
"3",
"4",
"1",
"2",
"3",
"4",
"4",
"4",
"3",
"2",
"3",
"3",
"2",
"2",
"2",
"3",
"3",
"3",
"4",
"4",
"4",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"5",
"5",
"5",
"3",
"2",
"3",
"3",
"4",
"4",
"4",
"2",
"3",
"2",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"3"
] |
[
"nonn",
"tabf"
] | 6 | 1 | 3 |
[
"A000720",
"A005519",
"A049430",
"A061395",
"A133457",
"A365142",
"A365143"
] | null |
Pontus von Brömssen, Aug 25 2023
| 2023-08-27T10:11:17 |
oeisdata/seq/A365/A365143.seq
|
cad1e930288d802fa068470366e5cad3
|
A365144
|
Numbers having each digit once and whose 4th power has each digit four times.
|
[
"5702631489",
"7264103985",
"7602314895",
"7824061395",
"8105793624",
"8174035962",
"8304269175",
"8904623175",
"8923670541",
"9451360827",
"9785261403",
"9804753612",
"9846032571"
] |
[
"nonn",
"base",
"fini",
"full"
] | 5 | 1 | 1 |
[
"A050278",
"A114260",
"A199630",
"A199631",
"A199633",
"A365144"
] | null |
T. D. Noe, Nov 09 2011
| 2023-08-23T13:22:17 |
oeisdata/seq/A365/A365144.seq
|
ce354b9f4acb42fa1ceb82b989a3c998
|
A365145
|
Lexicographically least increasing sequence of triprimes (A014612) whose first differences are triprimes.
|
[
"8",
"20",
"28",
"70",
"78",
"98",
"110",
"130",
"138",
"165",
"195",
"207",
"273",
"285",
"363",
"426",
"434",
"442",
"470",
"498",
"506",
"518",
"530",
"548",
"556",
"574",
"582",
"590",
"598",
"606",
"618",
"638",
"646",
"654",
"682",
"710",
"722",
"730",
"742",
"754",
"762",
"782",
"790",
"834",
"854",
"874",
"892",
"942",
"962",
"970",
"978",
"986",
"994",
"1002",
"1010",
"1022",
"1030",
"1038",
"1058"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A001359",
"A014612",
"A175588",
"A365145"
] | null |
Zak Seidov and Robert Israel, Aug 23 2023
| 2023-08-24T10:17:18 |
oeisdata/seq/A365/A365145.seq
|
83fdf561660ef5029c8aa4a9853aa6a7
|
A365146
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x)) )^2.
|
[
"1",
"2",
"11",
"76",
"591",
"4938",
"43297",
"393006",
"3661500",
"34813530",
"336447364",
"3295264162",
"32636826276",
"326310118860",
"3289090885545",
"33386999310460",
"341000875306393",
"3501847259286514",
"36136109243651145",
"374513918968721080",
"3896634418483676797"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A001003",
"A365146",
"A365147"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:49:38 |
oeisdata/seq/A365/A365146.seq
|
705dcae2e321ab45850bb75ff4ed031c
|
A365147
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x)) )^3.
|
[
"1",
"3",
"24",
"244",
"2802",
"34629",
"449509",
"6043716",
"83433402",
"1175735326",
"16843576440",
"244578817557",
"3591620791296",
"53247623771787",
"795901064582970",
"11981065741802125",
"181478799047422047",
"2763977213867989929",
"42301686984305340008"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A001003",
"A365146",
"A365147"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:49:42 |
oeisdata/seq/A365/A365147.seq
|
fa9be2c341d888bc15fdfb02a7cb7a4b
|
A365148
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x))^2 )^2.
|
[
"1",
"2",
"13",
"102",
"898",
"8484",
"84061",
"861918",
"9068950",
"97366812",
"1062425010",
"11747773372",
"131350499044",
"1482494173128",
"16867912278237",
"193273940978574",
"2228186999313678",
"25827663921909228",
"300825086742672934",
"3519001122784601524",
"41325186203051759324"
] |
[
"nonn"
] | 14 | 0 | 2 |
[
"A011270",
"A365120",
"A365133",
"A365148",
"A365149"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:50:19 |
oeisdata/seq/A365/A365148.seq
|
2234b73ad89ecfcfdc8bd45c6e0a159b
|
A365149
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x))^2 )^3.
|
[
"1",
"3",
"27",
"301",
"3780",
"51030",
"723170",
"10611594",
"159845946",
"2457515235",
"38406398016",
"608330707740",
"9744053489754",
"157564967282709",
"2568706865998272",
"42173100349112852",
"696692754641035014",
"11572241797209975966",
"193153224033985241217"
] |
[
"nonn"
] | 15 | 0 | 2 |
[
"A011270",
"A365121",
"A365134",
"A365148",
"A365149"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:49:46 |
oeisdata/seq/A365/A365149.seq
|
20049df641830931f24d36753e68d37c
|
A365150
|
G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 - x*A(x))^3.
|
[
"1",
"1",
"5",
"26",
"150",
"925",
"5967",
"39772",
"271758",
"1893431",
"13400897",
"96078789",
"696333585",
"5093266409",
"37549674939",
"278739057687",
"2081637677823",
"15628794649931",
"117897848681271",
"893167062280029",
"6792410218680749",
"51835002735642287",
"396821349652564273"
] |
[
"nonn"
] | 21 | 0 | 3 |
[
"A001003",
"A011270",
"A052529",
"A365150",
"A365151",
"A365152"
] | null |
Seiichi Manyama, Aug 23 2023
| 2024-12-02T09:50:32 |
oeisdata/seq/A365/A365150.seq
|
d35f9e9dada3e727e49adb6e628f3694
|
A365151
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x))^3 )^2.
|
[
"1",
"2",
"15",
"130",
"1263",
"13158",
"143704",
"1623766",
"18824931",
"222670678",
"2676674916",
"32604377358",
"401567277063",
"4992440157784",
"62569729324806",
"789679959184598",
"10027614784648750",
"128024712530277906",
"1642407060905790817",
"21161202394988206098"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A365150",
"A365151",
"A365152"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:49:54 |
oeisdata/seq/A365/A365151.seq
|
4e9f3ba042d4311a777e605565a6ab26
|
A365152
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2 / (1 - x*A(x))^3 )^3.
|
[
"1",
"3",
"30",
"361",
"4887",
"71064",
"1084338",
"17127921",
"277691055",
"4594624095",
"77271742056",
"1317037554924",
"22699836814548",
"394961294853852",
"6928051002350154",
"122384261274499665",
"2175295243858562031",
"38875484049230706129",
"698131263508514451678"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A365150",
"A365151",
"A365152"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:49:57 |
oeisdata/seq/A365/A365152.seq
|
b176acc7f425a54e2db6cdcbb85ab31a
|
A365153
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x)) )^2.
|
[
"1",
"2",
"11",
"74",
"563",
"4604",
"39524",
"351322",
"3205699",
"29854250",
"282615379",
"2711494224",
"26307568324",
"257673017952",
"2544420045432",
"25303000558890",
"253184833958403",
"2547251287244918",
"25752086767703969",
"261480234091024906",
"2665405840919762043"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A001002",
"A365153",
"A365154"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:50:01 |
oeisdata/seq/A365/A365153.seq
|
dc3acc3ff4d4f1c2fb4026c23ca01b67
|
A365154
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x)) )^3.
|
[
"1",
"3",
"24",
"241",
"2739",
"33513",
"430777",
"5736027",
"78428376",
"1094690208",
"15533884197",
"223429310925",
"3250094373788",
"47730565667898",
"706726767511254",
"10538728632234471",
"158132963455869912",
"2385819265581499593",
"36171764848848749205",
"550803320282727312804"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A001002",
"A365153",
"A365154"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:48:19 |
oeisdata/seq/A365/A365154.seq
|
f850bd237affa2d399fd20dbeb3036ff
|
A365155
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^2 )^2.
|
[
"1",
"2",
"13",
"98",
"838",
"7690",
"74047",
"738028",
"7549658",
"78811732",
"836219773",
"8991739874",
"97769604542",
"1073156173442",
"11875174074608",
"132333387616600",
"1483789788291516",
"16727705523572128",
"189496296040063170",
"2155984626357225948",
"24625450759174328948"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A214372",
"A365155",
"A365156"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:48:23 |
oeisdata/seq/A365/A365155.seq
|
5d42dd4e84d7fa503f315c99f63cbb2b
|
A365156
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^2 )^3.
|
[
"1",
"3",
"27",
"295",
"3648",
"48513",
"677450",
"9797031",
"145458252",
"2204380144",
"33960095667",
"530268482913",
"8373331428836",
"133484219528982",
"2145376940485452",
"34725549386905863",
"565567039020594492",
"9261756210015412356",
"152410211630410153468"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A214372",
"A365155",
"A365156"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:48:27 |
oeisdata/seq/A365/A365156.seq
|
7f59a6e2ae6ab06799b1ad4930c0ee00
|
A365157
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^3 )^2.
|
[
"1",
"2",
"15",
"124",
"1167",
"11772",
"124561",
"1363964",
"15326826",
"175739698",
"2047974619",
"24185317182",
"288801732423",
"3481242975808",
"42303574158234",
"517683469595912",
"6374096109874427",
"78909384182870688",
"981600144994348111",
"12263583888826309544",
"153812133876403777005"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A361305",
"A365157",
"A365158"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:48:30 |
oeisdata/seq/A365/A365157.seq
|
db5c2cd629fff7eac158dee8e2b1e0cc
|
A365158
|
G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^3 )^3.
|
[
"1",
"3",
"30",
"352",
"4680",
"66852",
"1002420",
"15562917",
"248028012",
"4034367018",
"66704722941",
"1117794312987",
"18942067925094",
"324048616144950",
"5588890522700901",
"97074537335184054",
"1696556614819124517",
"29812650855663860436",
"526429300730659123740"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A361305",
"A365157",
"A365158"
] | null |
Seiichi Manyama, Aug 23 2023
| 2023-08-24T07:48:35 |
oeisdata/seq/A365/A365158.seq
|
692858d1f0e63f3d311c32d3939abdfc
|
A365159
|
a(n)=n for n<=3, and thereafter, a(n) is the number of locations 1..n-1 which cannot be reached starting from i=n-1, where jumps from location i to i +- a(i) are permitted (within 1..n-1). See example.
|
[
"1",
"2",
"3",
"2",
"2",
"3",
"4",
"4",
"3",
"6",
"4",
"6",
"8",
"5",
"9",
"10",
"11",
"12",
"13",
"13",
"11",
"11",
"13",
"13",
"15",
"15",
"16",
"17",
"18",
"19",
"20",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"26",
"18",
"26",
"29",
"20",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"29",
"28",
"31",
"29",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"34",
"38",
"27",
"39",
"40",
"41",
"42",
"42"
] |
[
"nonn"
] | 24 | 1 | 2 |
[
"A360746",
"A365159"
] | null |
Neal Gersh Tolunsky, Aug 23 2023
| 2023-09-10T09:47:22 |
oeisdata/seq/A365/A365159.seq
|
373f2505656d7ce8c2bdd4d14945031b
|
A365160
|
Least k such that A000668(n) + k is prime, where A000668(n) is the n-th Mersenne prime.
|
[
"2",
"4",
"6",
"4",
"18",
"30",
"22",
"12",
"16",
"30",
"40",
"30",
"888",
"486",
"2056",
"696",
"310",
"718",
"4692",
"1600",
"2788",
"4290",
"4326",
"4150",
"18088",
"22096",
"16342",
"72816",
"181720",
"4200",
"58416"
] |
[
"nonn",
"hard",
"more"
] | 41 | 1 | 1 |
[
"A000040",
"A000668",
"A001223",
"A059305",
"A074626",
"A365160",
"A365161"
] | null |
Robert P. P. McKone, Aug 24 2023
| 2024-10-30T21:57:33 |
oeisdata/seq/A365/A365160.seq
|
69aa3d2210f4607cd8f9b0e866e8168d
|
A365161
|
Least k such that A000668(n) - k is prime, where A000668(n) is the n-th Mersenne prime.
|
[
"1",
"2",
"2",
"14",
"12",
"8",
"18",
"18",
"30",
"20",
"170",
"24",
"114",
"56",
"156",
"2510",
"1824",
"12",
"3980",
"3630",
"16902",
"284",
"7712",
"20022",
"12930",
"9698",
"16232",
"1058",
"256016",
"23712",
"26298"
] |
[
"nonn",
"hard",
"more"
] | 42 | 1 | 2 |
[
"A000040",
"A000668",
"A001223",
"A059305",
"A073715",
"A365160",
"A365161"
] | null |
Robert P. P. McKone, Aug 24 2023
| 2024-10-30T22:01:15 |
oeisdata/seq/A365/A365161.seq
|
76f9b72c9ba775160ff199f3153bd67b
|
A365162
|
a(n) = A269795(n)/2.
|
[
"1",
"0",
"3",
"1",
"15",
"12",
"63",
"14",
"252",
"240",
"1023",
"495",
"4095",
"4032",
"16365",
"2032",
"65535",
"65268",
"262143",
"130815",
"1048509",
"1047552",
"4194303",
"1048050",
"16777200",
"16773120",
"67108608",
"33550335",
"268435455",
"268418820",
"1073741823",
"67106816",
"4294966269",
"4294901760",
"17179869105"
] |
[
"nonn"
] | 7 | 1 | 3 |
[
"A269795",
"A365162"
] | null |
Amiram Eldar, Aug 24 2023
| 2025-01-05T19:51:42 |
oeisdata/seq/A365/A365162.seq
|
cfe65bc5ecac5a8101054dc83fa63e53
|
A365163
|
Length of the perimeter of the regular heptagon with unit circumradius.
|
[
"6",
"0",
"7",
"4",
"3",
"7",
"2",
"3",
"4",
"7",
"6",
"4",
"5",
"8",
"1",
"3",
"6",
"8",
"6",
"6",
"6",
"0",
"7",
"5",
"6",
"6",
"5",
"9",
"8",
"7",
"7",
"0",
"2",
"2",
"5",
"6",
"4",
"5",
"3",
"9",
"8",
"7",
"0",
"1",
"8",
"9",
"0",
"2",
"4",
"4",
"3",
"8",
"2",
"7",
"0",
"2",
"2",
"3",
"6",
"6",
"2",
"2",
"4",
"9",
"4",
"5",
"0",
"8",
"4",
"5",
"5",
"2",
"3",
"1",
"4",
"4",
"7",
"7",
"7",
"9",
"0",
"1",
"2",
"9",
"0",
"9",
"7",
"6",
"3",
"0",
"4",
"8"
] |
[
"nonn",
"cons"
] | 13 | 1 | 1 |
[
"A010487",
"A019845",
"A104957",
"A272487",
"A365163",
"A365164",
"A365165"
] | null |
R. J. Mathar, Aug 24 2023
| 2023-08-24T07:05:15 |
oeisdata/seq/A365/A365163.seq
|
62c40b75cd522a7b64c8fceeb993d8ba
|
A365164
|
Length of the perimeter of the regular octagon with unit circumradius.
|
[
"6",
"1",
"2",
"2",
"9",
"3",
"4",
"9",
"1",
"7",
"8",
"4",
"1",
"4",
"3",
"6",
"3",
"4",
"7",
"6",
"5",
"5",
"3",
"5",
"9",
"7",
"4",
"4",
"4",
"8",
"6",
"3",
"8",
"1",
"8",
"6",
"8",
"1",
"8",
"1",
"5",
"1",
"2",
"9",
"9",
"9",
"7",
"7",
"0",
"0",
"3",
"2",
"6",
"6",
"2",
"9",
"4",
"0",
"8",
"1",
"0",
"1",
"7",
"0",
"0",
"4",
"0",
"7",
"3",
"6",
"5",
"4",
"3",
"3",
"6",
"1",
"4",
"3",
"5",
"0",
"7",
"5",
"7",
"9",
"2",
"2",
"2",
"0",
"5",
"6",
"5",
"4",
"7",
"6",
"5",
"3",
"6",
"7",
"5",
"4",
"3",
"7",
"4",
"7",
"8",
"8",
"6",
"1",
"8"
] |
[
"cons",
"nonn"
] | 9 | 1 | 1 |
[
"A010466",
"A010487",
"A019845",
"A101464",
"A365163",
"A365164",
"A365165"
] | null |
R. J. Mathar, Aug 24 2023
| 2023-08-24T07:07:15 |
oeisdata/seq/A365/A365164.seq
|
24678b88bbfcbaba8a4e612a022f3471
|
A365165
|
Length of the perimeter of the regular 9-gon with unit circumradius.
|
[
"6",
"1",
"5",
"6",
"3",
"6",
"2",
"5",
"7",
"9",
"8",
"6",
"2",
"0",
"3",
"7",
"1",
"9",
"4",
"7",
"9",
"3",
"7",
"9",
"3",
"0",
"6",
"4",
"2",
"8",
"0",
"6",
"7",
"2",
"4",
"5",
"3",
"7",
"3",
"5",
"5",
"0",
"0",
"6",
"1",
"5",
"2",
"5",
"4",
"8",
"9",
"1",
"3",
"1",
"2",
"3",
"7",
"0",
"8",
"7",
"2",
"9",
"5",
"8",
"3",
"2",
"4",
"8",
"6",
"5",
"7",
"4",
"6",
"6",
"3",
"7",
"3",
"9",
"6",
"7",
"9",
"2",
"1",
"5",
"5",
"4",
"2",
"3",
"2",
"8",
"2",
"0",
"9",
"3",
"4",
"5",
"9",
"8",
"5",
"5"
] |
[
"nonn",
"cons"
] | 10 | 1 | 1 |
[
"A010487",
"A019845",
"A272488",
"A365163",
"A365164",
"A365165"
] | null |
R. J. Mathar, Aug 24 2023
| 2024-06-10T00:04:52 |
oeisdata/seq/A365/A365165.seq
|
12a63c9be0801f76c0792f4ca847a86a
|
A365166
|
Numbers that are not the sum of a prime number and a fourth power of a nonnegative integer.
|
[
"1",
"9",
"10",
"15",
"16",
"22",
"25",
"26",
"28",
"34",
"36",
"40",
"46",
"49",
"50",
"51",
"52",
"55",
"56",
"58",
"64",
"65",
"66",
"70",
"76",
"78",
"81",
"82",
"85",
"91",
"93",
"96",
"106",
"111",
"115",
"116",
"120",
"121",
"126",
"130",
"133",
"135",
"136",
"141",
"144",
"145",
"146",
"156",
"159",
"161",
"162",
"166",
"169",
"171",
"172",
"175",
"176",
"177",
"185",
"186",
"187",
"196"
] |
[
"nonn"
] | 7 | 1 | 2 |
[
"A014090",
"A045911",
"A356295",
"A365126",
"A365127",
"A365166",
"A365169"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2023-08-30T21:27:26 |
oeisdata/seq/A365/A365166.seq
|
c9ef10cc890ee610cbeabf953d9e79ec
|
A365167
|
Number of representations of n as the sum of a prime number and a fourth power of a positive integer.
|
[
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"2",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"2",
"2",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"2",
"1",
"1",
"0",
"1",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1"
] |
[
"nonn"
] | 8 | 1 | 18 |
[
"A064272",
"A283760",
"A365126",
"A365167",
"A365168",
"A365169"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2023-08-30T21:27:36 |
oeisdata/seq/A365/A365167.seq
|
42505679df3170e6143353260996dcc5
|
A365168
|
Numbers that are the sum of a prime number and a fourth power of a positive integer.
|
[
"3",
"4",
"6",
"8",
"12",
"14",
"18",
"19",
"20",
"21",
"23",
"24",
"27",
"29",
"30",
"32",
"33",
"35",
"38",
"39",
"42",
"44",
"45",
"47",
"48",
"53",
"54",
"57",
"59",
"60",
"62",
"63",
"68",
"69",
"72",
"74",
"75",
"77",
"80",
"83",
"84",
"86",
"87",
"88",
"89",
"90",
"92",
"94",
"95",
"98",
"99",
"100",
"102",
"104",
"105",
"108",
"110",
"112",
"113",
"114",
"117",
"118",
"119",
"122",
"123",
"124",
"125"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A058654",
"A307647",
"A365127",
"A365167",
"A365168",
"A365169"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2024-08-29T02:41:11 |
oeisdata/seq/A365/A365168.seq
|
fe03a5c22d57fe5cd30dd11747e85bab
|
A365169
|
Numbers that are not the sum of a prime number and a fourth power of a positive integer.
|
[
"1",
"2",
"5",
"7",
"9",
"10",
"11",
"13",
"15",
"16",
"17",
"22",
"25",
"26",
"28",
"31",
"34",
"36",
"37",
"40",
"41",
"43",
"46",
"49",
"50",
"51",
"52",
"55",
"56",
"58",
"61",
"64",
"65",
"66",
"67",
"70",
"71",
"73",
"76",
"78",
"79",
"81",
"82",
"85",
"91",
"93",
"96",
"97",
"101",
"103",
"106",
"107",
"109",
"111",
"115",
"116",
"120",
"121",
"126",
"127",
"130",
"131",
"133",
"135"
] |
[
"nonn"
] | 7 | 1 | 2 |
[
"A064233",
"A211167",
"A365166",
"A365167",
"A365168",
"A365169"
] | null |
Ilya Gutkovskiy, Aug 24 2023
| 2023-08-30T21:28:04 |
oeisdata/seq/A365/A365169.seq
|
d2e977c2dee773d02463d5c60de5be34
|
A365170
|
The sum of divisors d of n such that gcd(d, n/d) is squarefree.
|
[
"1",
"3",
"4",
"7",
"6",
"12",
"8",
"15",
"13",
"18",
"12",
"28",
"14",
"24",
"24",
"27",
"18",
"39",
"20",
"42",
"32",
"36",
"24",
"60",
"31",
"42",
"40",
"56",
"30",
"72",
"32",
"51",
"48",
"54",
"48",
"91",
"38",
"60",
"56",
"90",
"42",
"96",
"44",
"84",
"78",
"72",
"48",
"108",
"57",
"93",
"72",
"98",
"54",
"120",
"72",
"120",
"80",
"90",
"60",
"168",
"62",
"96",
"104",
"99",
"84",
"144"
] |
[
"nonn",
"easy",
"mult"
] | 10 | 1 | 2 |
[
"A000203",
"A000290",
"A005117",
"A034448",
"A046100",
"A157292",
"A252505",
"A365170"
] | null |
Amiram Eldar, Aug 25 2023
| 2024-05-24T04:36:42 |
oeisdata/seq/A365/A365170.seq
|
db9ef52badb0abdaba816cdf275b89c4
|
A365171
|
The number of divisors d of n such that gcd(d, n/d) is a square.
|
[
"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",
"4",
"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",
"4",
"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"
] | 13 | 1 | 2 |
[
"A000005",
"A000290",
"A000583",
"A004524",
"A005117",
"A008833",
"A034444",
"A046101",
"A046951",
"A182448",
"A365171",
"A365172",
"A365173"
] | null |
Amiram Eldar, Aug 25 2023
| 2024-01-20T04:41:11 |
oeisdata/seq/A365/A365171.seq
|
f5cf159aaec60892976de8f8ec863141
|
A365172
|
The sum of divisors d of n such that gcd(d, n/d) is a square.
|
[
"1",
"3",
"4",
"5",
"6",
"12",
"8",
"9",
"10",
"18",
"12",
"20",
"14",
"24",
"24",
"21",
"18",
"30",
"20",
"30",
"32",
"36",
"24",
"36",
"26",
"42",
"28",
"40",
"30",
"72",
"32",
"45",
"48",
"54",
"48",
"50",
"38",
"60",
"56",
"54",
"42",
"96",
"44",
"60",
"60",
"72",
"48",
"84",
"50",
"78",
"72",
"70",
"54",
"84",
"72",
"72",
"80",
"90",
"60",
"120",
"62",
"96",
"80",
"85",
"84",
"144",
"68"
] |
[
"nonn",
"easy",
"mult"
] | 7 | 1 | 2 |
[
"A000203",
"A005117",
"A034448",
"A035316",
"A046101",
"A365171",
"A365172",
"A365174"
] | null |
Amiram Eldar, Aug 25 2023
| 2023-08-25T08:40:01 |
oeisdata/seq/A365/A365172.seq
|
8ea5c2f7623462ff7e86a3d5b1c4bbf8
|
A365173
|
The number of divisors d of n such that gcd(d, n/d) is an exponentially odd number (A268335).
|
[
"1",
"2",
"2",
"3",
"2",
"4",
"2",
"4",
"3",
"4",
"2",
"6",
"2",
"4",
"4",
"4",
"2",
"6",
"2",
"6",
"4",
"4",
"2",
"8",
"3",
"4",
"4",
"6",
"2",
"8",
"2",
"4",
"4",
"4",
"4",
"9",
"2",
"4",
"4",
"8",
"2",
"8",
"2",
"6",
"6",
"4",
"2",
"8",
"3",
"6",
"4",
"6",
"2",
"8",
"4",
"8",
"4",
"4",
"2",
"12",
"2",
"4",
"6",
"5",
"4",
"8",
"2",
"6",
"4",
"8",
"2",
"12",
"2",
"4",
"6",
"6",
"4",
"8",
"2",
"8",
"4",
"4",
"2",
"12",
"4",
"4"
] |
[
"nonn",
"easy",
"mult"
] | 18 | 1 | 2 |
[
"A004524",
"A005117",
"A046101",
"A252505",
"A268335",
"A325837",
"A350390",
"A365171",
"A365173",
"A365174"
] | null |
Amiram Eldar, Aug 25 2023
| 2025-04-27T00:45:25 |
oeisdata/seq/A365/A365173.seq
|
8b2947c90fbd547e5b788f26c227bbe9
|
A365174
|
The sum of divisors d of n such that gcd(d, n/d) is an exponentially odd number (A268335).
|
[
"1",
"3",
"4",
"7",
"6",
"12",
"8",
"15",
"13",
"18",
"12",
"28",
"14",
"24",
"24",
"27",
"18",
"39",
"20",
"42",
"32",
"36",
"24",
"60",
"31",
"42",
"40",
"56",
"30",
"72",
"32",
"51",
"48",
"54",
"48",
"91",
"38",
"60",
"56",
"90",
"42",
"96",
"44",
"84",
"78",
"72",
"48",
"108",
"57",
"93",
"72",
"98",
"54",
"120",
"72",
"120",
"80",
"90",
"60",
"168",
"62",
"96",
"104",
"107",
"84",
"144"
] |
[
"nonn",
"easy",
"mult"
] | 11 | 1 | 2 |
[
"A000203",
"A002117",
"A013661",
"A013664",
"A033634",
"A034448",
"A268335",
"A365172",
"A365173",
"A365174"
] | null |
Amiram Eldar, Aug 25 2023
| 2025-03-28T02:21:57 |
oeisdata/seq/A365/A365174.seq
|
87e6e668c0a406a2c3e29d20b15bba15
|
A365175
|
E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)).
|
[
"1",
"1",
"10",
"189",
"5476",
"215145",
"10701006",
"644909503",
"45687408712",
"3721382812305",
"342689189598010",
"35206864089944151",
"3992473080042706524",
"495361299387667990537",
"66752437447119717428422",
"9708649781691227748131535",
"1515863453268825963300368656"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A161633",
"A213644",
"A364984",
"A364987",
"A364989",
"A365175",
"A365176",
"A365177"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:02 |
oeisdata/seq/A365/A365175.seq
|
9963be2bb6ffc948ae1e365a18a6df70
|
A365176
|
E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^2).
|
[
"1",
"1",
"10",
"195",
"5836",
"236925",
"12177966",
"758458603",
"55528414264",
"4674208189977",
"444823048027450",
"47227542351423951",
"5534636939373353604",
"709653811287800826421",
"98825110036657191358822",
"14853654178825132742729715",
"2396666529204491489278153456"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A364987",
"A364989",
"A365175",
"A365176",
"A365177"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:11 |
oeisdata/seq/A365/A365176.seq
|
502df5759b95b3e25ac34160c856e800
|
A365177
|
E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^3).
|
[
"1",
"1",
"10",
"201",
"6220",
"261465",
"13925286",
"898994383",
"68240292856",
"5956670911041",
"587896878021130",
"64738492669538391",
"7869297152389747284",
"1046629627952327990545",
"151192146681811716344878",
"23573456446401808474471455",
"3945806733850334447131941616"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A364987",
"A364989",
"A365175",
"A365176",
"A365177"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:14 |
oeisdata/seq/A365/A365177.seq
|
39f7716682bae0d1e4160b9e80355cde
|
A365178
|
G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x).
|
[
"1",
"1",
"5",
"30",
"210",
"1595",
"12791",
"106574",
"913562",
"8004861",
"71375653",
"645536234",
"5907683486",
"54605672300",
"509043322720",
"4780441915832",
"45182744331388",
"429472919087158",
"4102806757542542",
"39370967793387086",
"379335734835510622",
"3668220243145708341"
] |
[
"nonn"
] | 16 | 0 | 3 |
[
"A002293",
"A002294",
"A364475",
"A364987",
"A365178",
"A365180",
"A365181",
"A365182",
"A365183",
"A365184"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-11-01T10:00:54 |
oeisdata/seq/A365/A365178.seq
|
cbaf322fe70971cda3a8906ccab0dcd5
|
A365179
|
a(1) = 2; for n >= 2, a(n) = p^6 if p == 2 (mod 3), p^7 if p = 3 or p == 1 (mod 3), where p = prime(n).
|
[
"2",
"2187",
"15625",
"823543",
"1771561",
"62748517",
"24137569",
"893871739",
"148035889",
"594823321",
"27512614111",
"94931877133",
"4750104241",
"271818611107",
"10779215329",
"22164361129",
"42180533641",
"3142742836021",
"6060711605323",
"128100283921",
"11047398519097",
"19203908986159",
"326940373369"
] |
[
"nonn",
"easy"
] | 25 | 1 | 1 |
[
"A030516",
"A092759",
"A365179"
] | null |
Jianing Song, Aug 25 2023
| 2023-08-27T04:21:18 |
oeisdata/seq/A365/A365179.seq
|
a9a67bac80f95305fa47bba1976d0cb8
|
A365180
|
G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)).
|
[
"1",
"1",
"5",
"31",
"223",
"1740",
"14328",
"122549",
"1078197",
"9695359",
"88710199",
"823247686",
"7730244098",
"73310150097",
"701163085849",
"6755544043969",
"65506554804129",
"638794412442172",
"6260571309256152",
"61632794482411367",
"609197871548209907",
"6043456939539775056"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A002294",
"A364747",
"A365178",
"A365180",
"A365181",
"A365182",
"A365183"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:22 |
oeisdata/seq/A365/A365180.seq
|
69592ad6140cc2fb916074eba44b900a
|
A365181
|
G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)^2).
|
[
"1",
"1",
"5",
"32",
"237",
"1905",
"16160",
"142392",
"1290613",
"11955947",
"112697701",
"1077438356",
"10422562156",
"101827196684",
"1003312506776",
"9958506719664",
"99479743121349",
"999370184665407",
"10090067735619023",
"102330789530653912",
"1041997707624103589",
"10648963961114066129"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A002294",
"A365178",
"A365180",
"A365181",
"A365182",
"A365183"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:48 |
oeisdata/seq/A365/A365181.seq
|
de92b4201d5b32df8922cf1958269695
|
A365182
|
G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)^3).
|
[
"1",
"1",
"5",
"33",
"252",
"2091",
"18319",
"166750",
"1561599",
"14948572",
"145615404",
"1438752770",
"14384289530",
"145248707646",
"1479212551278",
"15175516654760",
"156691764630780",
"1627069871618145",
"16980373299730925",
"178006989972532900",
"1873607777794186000"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A002294",
"A365177",
"A365178",
"A365180",
"A365181",
"A365182",
"A365183"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:18 |
oeisdata/seq/A365/A365182.seq
|
b42760cd4771bb7fbd4f7abf55be17a6
|
A365183
|
G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)^4).
|
[
"1",
"1",
"5",
"34",
"268",
"2299",
"20838",
"196326",
"1903524",
"18868861",
"190356231",
"1948055058",
"20173907384",
"211020478270",
"2226243632838",
"23660868061422",
"253099278807684",
"2722819049879436",
"29439894433161189",
"319749417998303470",
"3486914150183526920"
] |
[
"nonn"
] | 24 | 0 | 3 |
[
"A002294",
"A006605",
"A255673",
"A364989",
"A365178",
"A365180",
"A365181",
"A365182",
"A365183",
"A365189"
] | null |
Seiichi Manyama, Aug 25 2023
| 2025-01-10T11:24:32 |
oeisdata/seq/A365/A365183.seq
|
6e8b9b6e1f85be461ad38b3495048663
|
A365184
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x).
|
[
"1",
"1",
"6",
"45",
"395",
"3775",
"38146",
"400826",
"4335455",
"47951065",
"539823620",
"6165377836",
"71261299056",
"831990025420",
"9797505040130",
"116235417614900",
"1387958781395535",
"16668362761081560",
"201190667288072005",
"2439418470063468505",
"29698136499328762445"
] |
[
"nonn"
] | 15 | 0 | 3 |
[
"A002294",
"A002295",
"A349332",
"A364475",
"A365178",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-11-01T10:00:58 |
oeisdata/seq/A365/A365184.seq
|
67cfcfad2c4a6e7f4412b0eb7d124404
|
A365185
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)).
|
[
"1",
"1",
"6",
"46",
"411",
"3996",
"41062",
"438662",
"4823133",
"54221518",
"620404859",
"7201317005",
"84590041441",
"1003656037278",
"12010861830069",
"144804336388912",
"1757106190680819",
"21443109365898743",
"263009775111233392",
"3240530659303505547",
"40088688455992604594"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A002295",
"A364748",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:57 |
oeisdata/seq/A365/A365185.seq
|
1f9e8cb45409405f41fa234067470615
|
A365186
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^2).
|
[
"1",
"1",
"6",
"47",
"428",
"4241",
"44407",
"483358",
"5414618",
"62014112",
"722870120",
"8547768832",
"102284029963",
"1236274747490",
"15070955944288",
"185089043535730",
"2287843817573898",
"28440852786725695",
"355345599519983962",
"4459821165693379625",
"56200963128262312342"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A002295",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189",
"A365192"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:44:01 |
oeisdata/seq/A365/A365186.seq
|
25626bbffe37e90e50c2e9482334ff3d
|
A365187
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^3).
|
[
"1",
"1",
"6",
"48",
"446",
"4511",
"48218",
"535800",
"6127598",
"71648868",
"852668952",
"10293847592",
"125759270354",
"1551872951050",
"19314892116764",
"242182938963024",
"3056337851481678",
"38790948190319404",
"494825459824571528",
"6340628082364678016",
"81577931200018721464"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A002295",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189",
"A365193"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T10:00:18 |
oeisdata/seq/A365/A365187.seq
|
db656d5d76d5e5c78c9833fad8514540
|
A365188
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^4).
|
[
"1",
"1",
"6",
"49",
"465",
"4807",
"52533",
"596936",
"6981798",
"83497115",
"1016367737",
"12550853210",
"156845913315",
"1979870172453",
"25207383853375",
"323325558146400",
"4174108907656633",
"54195445136831670",
"707225283913589280",
"9270735916525207605",
"122020617365557674605"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A002295",
"A243667",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T09:43:52 |
oeisdata/seq/A365/A365188.seq
|
90734fb43ce441e566912b407ce80eeb
|
A365189
|
G.f. satisfies A(x) = 1 + x*A(x)^5*(1 + x*A(x)^5).
|
[
"1",
"1",
"6",
"50",
"485",
"5130",
"57391",
"667777",
"7999095",
"97986680",
"1221813880",
"15456556791",
"197887386913",
"2559189842240",
"33383097891135",
"438714241508615",
"5803049210371375",
"77199163872173757",
"1032215519193531310",
"13864180990526161995",
"186975433988014039830"
] |
[
"nonn"
] | 23 | 0 | 3 |
[
"A002295",
"A006605",
"A255673",
"A365183",
"A365184",
"A365185",
"A365186",
"A365187",
"A365188",
"A365189"
] | null |
Seiichi Manyama, Aug 25 2023
| 2025-01-10T11:24:36 |
oeisdata/seq/A365/A365189.seq
|
56354cb5015b09d298cf57383b4b6926
|
A365190
|
The weak Schur numbers for 2-coloring.
|
[
"9",
"24",
"52",
"101",
"166",
"253"
] |
[
"nonn",
"hard",
"more"
] | 12 | 2 | 1 |
[
"A030126",
"A045652",
"A072842",
"A118771",
"A365190",
"A365191"
] | null |
Stefano Spezia, Aug 25 2023
| 2023-08-27T04:40:26 |
oeisdata/seq/A365/A365190.seq
|
a932eb08b9405566a5276459cb07d2a0
|
A365191
|
The weak Schur numbers for 3-coloring.
|
[
"24",
"94",
"259"
] |
[
"nonn",
"bref",
"hard",
"more"
] | 8 | 2 | 1 |
[
"A030126",
"A045652",
"A072842",
"A118771",
"A365190",
"A365191"
] | null |
Stefano Spezia, Aug 25 2023
| 2023-08-27T10:30:30 |
oeisdata/seq/A365/A365191.seq
|
190fe19f7a6700ae9dd347d4a3c79d96
|
A365192
|
G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^2).
|
[
"1",
"1",
"6",
"48",
"443",
"4445",
"47107",
"518835",
"5880223",
"68130860",
"803369481",
"9609294542",
"116310009888",
"1421951861817",
"17533301767624",
"217796367181117",
"2722942699583650",
"34236790400004432",
"432649744252128084",
"5492060945760586212",
"69998993052214823013"
] |
[
"nonn"
] | 6 | 0 | 3 |
[
"A002295",
"A243667",
"A349332",
"A364748",
"A365186",
"A365192",
"A365193",
"A365194"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T10:00:53 |
oeisdata/seq/A365/A365192.seq
|
9f7a54454d013adb89bb102070578fa7
|
A365193
|
G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^3).
|
[
"1",
"1",
"6",
"49",
"463",
"4760",
"51702",
"583712",
"6781774",
"80555066",
"973813974",
"11941861079",
"148191437719",
"1857464450449",
"23481830726334",
"299056887494427",
"3833349330581255",
"49416395972195630",
"640256115370243620",
"8332835556325119938",
"108890550249605779116"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A002295",
"A243667",
"A349332",
"A364748",
"A365187",
"A365192",
"A365193",
"A365194"
] | null |
Seiichi Manyama, Aug 25 2023
| 2023-08-25T10:00:39 |
oeisdata/seq/A365/A365193.seq
|
5fb0bc2bb0f22530ba7a780b5e38a2e9
|
A365194
|
G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)^6).
|
[
"1",
"1",
"6",
"52",
"529",
"5889",
"69462",
"853013",
"10791018",
"139659604",
"1840435530",
"24611295075",
"333132371248",
"4555465710569",
"62839303262352",
"873363902976309",
"12218178082489873",
"171918448407833112",
"2431415226089290680",
"34544425914499450493",
"492807213597429920649"
] |
[
"nonn"
] | 19 | 0 | 3 |
[
"A002295",
"A219537",
"A243667",
"A271469",
"A349332",
"A364748",
"A364765",
"A365192",
"A365193",
"A365194"
] | null |
Seiichi Manyama, Aug 25 2023
| 2024-12-26T02:59:30 |
oeisdata/seq/A365/A365194.seq
|
47a7a05d0d56ba27885059d1cc763496
|
A365195
|
Height of the first staircase of the ziggurat of order n described in A347186.
|
[
"1",
"2",
"2",
"4",
"3",
"6",
"4",
"8",
"5",
"9",
"6",
"12",
"7",
"12",
"8",
"16",
"9",
"18",
"10",
"20",
"11",
"18",
"12",
"24",
"13",
"21",
"14",
"28",
"15",
"30",
"16",
"32",
"17",
"27",
"18",
"36",
"19",
"30",
"20",
"40",
"21",
"42",
"22",
"42",
"23",
"36",
"24",
"48",
"25",
"39",
"26",
"49",
"27",
"54",
"28",
"56",
"29",
"45",
"30",
"60",
"31",
"48",
"32",
"64",
"33",
"66",
"34",
"63",
"35",
"54",
"36",
"72",
"37",
"57",
"38",
"70",
"39",
"77",
"40",
"80"
] |
[
"nonn"
] | 59 | 1 | 2 |
[
"A000079",
"A000396",
"A065091",
"A174973",
"A196020",
"A235791",
"A236104",
"A237270",
"A237271",
"A237591",
"A237593",
"A238524",
"A262626",
"A279387",
"A347186",
"A347367",
"A365195",
"A365433",
"A365434"
] | null |
Omar E. Pol, Aug 25 2023
| 2023-10-22T22:58:47 |
oeisdata/seq/A365/A365195.seq
|
d84954999c2fc2c230421a50a2c34980
|
A365196
|
a(n) is the least k such that 2^k + n is not squarefree.
|
[
"2",
"3",
"1",
"0",
"2",
"2",
"1",
"0",
"0",
"4",
"1",
"0",
"2",
"5",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"2",
"1",
"0",
"0",
"1",
"0",
"0",
"2",
"4",
"1",
"0",
"2",
"4",
"1",
"0",
"2",
"3",
"1",
"0",
"2",
"2",
"1",
"0",
"0",
"2",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"6",
"1",
"0",
"2",
"1",
"0",
"0",
"2",
"4",
"1",
"0",
"2",
"8",
"1",
"0",
"2",
"1",
"0",
"0",
"2",
"2",
"1",
"0",
"0",
"18",
"1",
"0",
"2",
"5",
"1",
"0",
"1",
"0",
"1",
"0",
"2",
"5",
"1",
"0",
"1",
"0",
"0",
"0"
] |
[
"nonn"
] | 22 | 0 | 1 |
[
"A005117",
"A365196"
] | null |
Robert Israel, Aug 25 2023
| 2023-08-28T11:55:41 |
oeisdata/seq/A365/A365196.seq
|
3a6004bf24aa0d2c6e37a0bb35dce939
|
A365197
|
a(n) and a(n+1) have k distinct digits in common. The successive ks are the successive digits of the sequence itself.
|
[
"1",
"10",
"12",
"3",
"13",
"103",
"130",
"124",
"142",
"2",
"104",
"140",
"123",
"132",
"4",
"14",
"1024",
"1042",
"1356",
"1365",
"15",
"51",
"5",
"1023",
"1032",
"1456",
"1465",
"7",
"17",
"107",
"170",
"125",
"152",
"1026",
"1062",
"1345",
"1354",
"16",
"20",
"1025",
"1052",
"18",
"2034",
"2043",
"23",
"102",
"10234",
"102345",
"102354",
"167",
"102367",
"102376"
] |
[
"base",
"nonn",
"fini"
] | 19 | 1 | 2 |
[
"A184992",
"A365197"
] | null |
Eric Angelini, Aug 25 2023
| 2023-09-03T10:47:06 |
oeisdata/seq/A365/A365197.seq
|
05581a7562586383d32f38282cdaa28b
|
A365198
|
Smallest k such that there exists a complete k-arc on the projective plane over GF(q), where q = A246655(n) is the n-th prime power > 1.
|
[
"4",
"4",
"6",
"6",
"6",
"6",
"6",
"7",
"8",
"9",
"10",
"10",
"10",
"12",
"12",
"13",
"14",
"14"
] |
[
"nonn",
"hard",
"more"
] | 12 | 1 | 1 |
[
"A365198",
"A365216"
] | null |
Robin Visser, Aug 26 2023
| 2023-08-26T15:42:06 |
oeisdata/seq/A365/A365198.seq
|
62d8ebb19dafb2d2b2ddcd6f9a570bd7
|
A365199
|
a(n) is the index of the n-th occurrence of 1 in A365203.
|
[
"1",
"14",
"53",
"109",
"221",
"445",
"893",
"1789",
"3581",
"7165",
"14333",
"28669",
"84530",
"295033",
"830369",
"1660741",
"4755764",
"10372048",
"28287409",
"56574821",
"153253317",
"323636916",
"848150626",
"2217511139",
"6534867338",
"20173498129",
"40346996261",
"120496984345"
] |
[
"nonn",
"hard"
] | 35 | 1 | 2 |
[
"A365199",
"A365203"
] | null |
Felix Huber, Aug 26 2023
| 2024-01-01T11:55:28 |
oeisdata/seq/A365/A365199.seq
|
5b1eae8f7506f1af7be3022b36f00c29
|
A365200
|
Even semiprimes that are the exact average of two consecutive odd semiprimes.
|
[
"34",
"86",
"94",
"122",
"142",
"194",
"202",
"214",
"218",
"262",
"302",
"314",
"358",
"386",
"394",
"422",
"446",
"562",
"586",
"626",
"634",
"698",
"734",
"838",
"842",
"922",
"982",
"1042",
"1138",
"1234",
"1262",
"1306",
"1346",
"1366",
"1402",
"1522",
"1642",
"1646",
"1658",
"1754",
"1762",
"1774",
"1838",
"1874",
"1894",
"1906",
"1942",
"1982",
"2026",
"2098",
"2102",
"2182",
"2186",
"2218"
] |
[
"nonn"
] | 27 | 1 | 1 |
[
"A046315",
"A100484",
"A365200",
"A365201",
"A365202"
] | null |
Elmo R. Oliveira, Aug 25 2023
| 2023-09-25T07:28:46 |
oeisdata/seq/A365/A365200.seq
|
70b15b8c8836a9987938fba47a5310c2
|
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