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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A382917
|
G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x)^3 / (1-x)^3 ).
|
[
"1",
"1",
"7",
"52",
"432",
"3878",
"36694",
"360498",
"3642534",
"37613947",
"395204413",
"4211469308",
"45409525116",
"494500127617",
"5430864937915",
"60083846523038",
"669005596426438",
"7491245872785003",
"84305386452532885",
"953020276395635246",
"10816782722212619970",
"123218274878407738497"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A349331",
"A382916",
"A382917",
"A382921"
] | null |
Seiichi Manyama, Apr 08 2025
| 2025-04-09T07:28:35 |
oeisdata/seq/A382/A382917.seq
|
558c1f55eb25485f9b2e3e1d34638e08
|
A382918
|
G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) / (1-x)^2 )^2.
|
[
"1",
"2",
"11",
"64",
"401",
"2652",
"18241",
"129216",
"936469",
"6911238",
"51764834",
"392494366",
"3006851913",
"23238830982",
"180974578418",
"1418728452902",
"11186978492689",
"88668723061112",
"706042492550773",
"5645331629000370",
"45307653034905824",
"364860349786846894",
"2947299389835541583"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A006319",
"A366176",
"A382918",
"A382920"
] | null |
Seiichi Manyama, Apr 08 2025
| 2025-04-09T07:28:23 |
oeisdata/seq/A382/A382918.seq
|
cfed00daaebfe7baa9086d381e4234e1
|
A382919
|
G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) / (1-x)^3 )^2.
|
[
"1",
"2",
"13",
"84",
"580",
"4216",
"31824",
"247168",
"1962800",
"15866016",
"130122304",
"1080101760",
"9057113472",
"76610188544",
"652895283200",
"5600752756224",
"48323092761344",
"419068973537792",
"3650909105378304",
"31937405800724480",
"280419948474447872",
"2470473454986891264"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A213282",
"A360100",
"A382616",
"A382919",
"A382921"
] | null |
Seiichi Manyama, Apr 08 2025
| 2025-04-09T07:28:48 |
oeisdata/seq/A382/A382919.seq
|
709ba99a24398506c50bfc5f105f932f
|
A382920
|
G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) / (1-x)^2 )^3.
|
[
"1",
"3",
"21",
"160",
"1320",
"11511",
"104451",
"976317",
"9337182",
"90937403",
"898861308",
"8994246132",
"90932043400",
"927452701605",
"9531607969788",
"98609173435172",
"1026121044859890",
"10733030463200814",
"112783955395845926",
"1190060614961391945",
"12604133970419399208",
"133945684546835994915"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A006319",
"A382916",
"A382918",
"A382920"
] | null |
Seiichi Manyama, Apr 08 2025
| 2025-04-09T14:16:14 |
oeisdata/seq/A382/A382920.seq
|
54c44f35ee5cf0a6407c41dd8f6b4ee0
|
A382921
|
G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) / (1-x)^3 )^3.
|
[
"1",
"3",
"24",
"199",
"1776",
"16713",
"163429",
"1644852",
"16929576",
"177384877",
"1885842105",
"20292695751",
"220595817213",
"2418988309494",
"26726104358958",
"297226167487469",
"3324654200094495",
"37379224636055040",
"422182501323170275",
"4788001977121735326",
"54502930562354983641"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A360100",
"A382615",
"A382917",
"A382919",
"A382921"
] | null |
Seiichi Manyama, Apr 08 2025
| 2025-04-09T07:29:09 |
oeisdata/seq/A382/A382921.seq
|
1dd6d94cb82aeec1f36fa88fd16fad66
|
A382922
|
Numbers k such that Fibonacci(k) is a Smith number.
|
[
"31",
"77",
"231",
"354",
"523",
"535",
"631",
"819",
"827",
"830",
"991",
"1234"
] |
[
"nonn",
"base",
"more"
] | 18 | 1 | 1 |
[
"A000045",
"A006753",
"A382922"
] | null |
Shyam Sunder Gupta, Apr 08 2025
| 2025-04-13T16:15:45 |
oeisdata/seq/A382/A382922.seq
|
1440c8492c70c69cc5a5393c6bdd9356
|
A382923
|
Square array A(n,k), n >= 0, k >= 0, read by downward antidiagonals: A(n,k) is the number of m-compositions of n with k zeros.
|
[
"1",
"0",
"1",
"0",
"2",
"3",
"0",
"3",
"5",
"7",
"0",
"4",
"13",
"16",
"16",
"0",
"5",
"14",
"33",
"40",
"35",
"0",
"6",
"29",
"70",
"105",
"100",
"75",
"0",
"7",
"27",
"88",
"207",
"292",
"244",
"159",
"0",
"8",
"51",
"152",
"336",
"604",
"758",
"576",
"334",
"0",
"9",
"44",
"206",
"588",
"1161",
"1749",
"1920",
"1329",
"696",
"0",
"10",
"79",
"300",
"882",
"2076",
"3685",
"4924",
"4802",
"3028",
"1442"
] |
[
"nonn",
"easy",
"tabl"
] | 15 | 0 | 5 |
[
"A038207",
"A101509",
"A181331",
"A261780",
"A323429",
"A382923",
"A382924"
] | null |
John Tyler Rascoe, Apr 09 2025
| 2025-04-14T07:39:26 |
oeisdata/seq/A382/A382923.seq
|
b66febb0a5ca058a6390dca2ad3e4369
|
A382924
|
Number of m-compositions of n with n zeros.
|
[
"1",
"2",
"13",
"70",
"336",
"2076",
"11091",
"65210",
"365661",
"2159354",
"11713047",
"71427504",
"392916687",
"2245186352",
"13527678851",
"73679458270",
"429472428457",
"2553994191220",
"14264421153074",
"80483620074092",
"489077890675807",
"2768919905996888",
"15394229582049408",
"91794448088043258"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A038207",
"A101509",
"A181331",
"A261780",
"A323429",
"A382820",
"A382923",
"A382924"
] | null |
John Tyler Rascoe, Apr 09 2025
| 2025-04-10T02:49:48 |
oeisdata/seq/A382/A382924.seq
|
785843b9c412ba7cefa70fc5717e5138
|
A382925
|
a(n) = [x^(3*n)] Product_{k=0..n} (1 + k*x)^4.
|
[
"1",
"4",
"248",
"61320",
"39194896",
"51699564000",
"122482878310656",
"474300956527856640",
"2804126507444905046272",
"24036712401508315774848000",
"286889291626307627568309995520",
"4615084616716397442547883972818944",
"97421519516367186622078306709619806208"
] |
[
"nonn"
] | 41 | 0 | 2 |
[
"A129256",
"A382925",
"A384025",
"A384031",
"A384032"
] | null |
Seiichi Manyama, May 17 2025
| 2025-05-22T14:18:33 |
oeisdata/seq/A382/A382925.seq
|
c90b7d179ee3fe872b4f8fcfdc2c8572
|
A382926
|
Irregular table where row n lists numbers k in row n of A162306 for which there exists a prime p | n such that k*p > n.
|
[
"2",
"3",
"4",
"5",
"3",
"4",
"6",
"7",
"8",
"9",
"4",
"5",
"8",
"10",
"11",
"6",
"8",
"9",
"12",
"13",
"4",
"7",
"8",
"14",
"5",
"9",
"15",
"16",
"17",
"8",
"9",
"12",
"16",
"18",
"19",
"5",
"8",
"10",
"16",
"20",
"7",
"9",
"21",
"4",
"8",
"11",
"16",
"22",
"23",
"9",
"12",
"16",
"18",
"24",
"25",
"4",
"8",
"13",
"16",
"26",
"27",
"7",
"8",
"14",
"16",
"28",
"29",
"8",
"9",
"10",
"12",
"15",
"16",
"18",
"20",
"24",
"25",
"27",
"30"
] |
[
"nonn",
"tabf"
] | 20 | 2 | 1 |
[
"A000961",
"A007947",
"A024619",
"A162306",
"A275280",
"A382926",
"A382964"
] | null |
Michael De Vlieger, Apr 28 2025
| 2025-05-09T00:55:23 |
oeisdata/seq/A382/A382926.seq
|
818eaf2e414d77d58e9b37912ede967f
|
A382927
|
Smallest beginning of a sequence of exactly n consecutive palindromic primes, all ending with the same digit.
|
[
"2",
"181",
"151",
"131",
"101",
"11",
"17471",
"16661",
"16561",
"16361",
"16061",
"15551",
"15451",
"14741",
"14341",
"13931",
"13831",
"13331",
"12821",
"12721",
"12421",
"11411",
"11311",
"10601",
"10501",
"10301",
"1884881",
"1883881",
"1881881",
"1880881",
"1879781",
"1878781",
"1876781",
"1865681",
"1856581",
"1853581",
"1851581"
] |
[
"nonn",
"base"
] | 53 | 1 | 1 |
[
"A002385",
"A054681",
"A382927"
] | null |
Jean-Marc Rebert, Apr 13 2025
| 2025-05-13T15:09:31 |
oeisdata/seq/A382/A382927.seq
|
1736dc6dfa1ad85994acb3a287d6e205
|
A382928
|
Start with {1, x}, then at each step replace it with the set of all pairwise products and sums of its elements (an element can be paired with itself). a(n) gives the number of elements after n-th step.
|
[
"2",
"6",
"28",
"436",
"90385",
"4017112742"
] |
[
"nonn",
"more",
"hard"
] | 28 | 0 | 1 |
[
"A352969",
"A382928"
] | null |
Bryle Morga, Apr 09 2025
| 2025-04-11T16:19:54 |
oeisdata/seq/A382/A382928.seq
|
ab9ae75923c6a3ad74862883672f5fa2
|
A382929
|
Smallest number k such that k + n + sigma(n) is a perfect number.
|
[
"4",
"1",
"21",
"17",
"17",
"10",
"13",
"5",
"6",
"0",
"5",
"456",
"1",
"458",
"457",
"449",
"461",
"439",
"457",
"434",
"443",
"438",
"449",
"412",
"440",
"428",
"429",
"412",
"437",
"394",
"433",
"401",
"415",
"408",
"413",
"369",
"421",
"398",
"401",
"366",
"413",
"358",
"409",
"368",
"373",
"378",
"401",
"324",
"390",
"353",
"373",
"346",
"389",
"322",
"369",
"320",
"359",
"348",
"377",
"268"
] |
[
"nonn"
] | 57 | 1 | 1 |
[
"A000396",
"A155085",
"A382506",
"A382929"
] | null |
Leo Hennig, Apr 09 2025
| 2025-04-11T16:25:03 |
oeisdata/seq/A382/A382929.seq
|
8006ca084ff8b7fd964d8dc9b75e2b2e
|
A382930
|
a(n) is the smallest k such that A382506(k) + sigma(k) = A000396(n).
|
[
"1",
"4",
"16",
"180",
"2520",
"7207200"
] |
[
"nonn",
"more"
] | 24 | 1 | 2 |
[
"A002093",
"A002182",
"A382506",
"A382930"
] | null |
Leo Hennig, Apr 09 2025
| 2025-04-24T23:25:03 |
oeisdata/seq/A382/A382930.seq
|
a2c79515227ee32d98c3f5be942befb7
|
A382931
|
Numbers k for which the Pythagorean triangle (A046083(k), A046084(k), A009000(k)) has an integer altitude.
|
[
"7",
"19",
"36",
"51",
"69",
"88",
"99",
"106",
"126",
"147",
"163",
"187",
"196",
"208",
"227",
"240",
"250",
"273",
"293",
"314",
"342",
"361",
"384",
"392",
"409",
"434",
"455",
"459",
"483",
"504",
"507",
"525",
"549",
"552",
"579",
"599",
"627",
"649",
"679",
"702",
"711",
"718",
"724",
"744",
"752",
"775",
"802",
"829",
"854",
"879",
"894",
"908",
"935",
"960"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A009000",
"A046083",
"A046084",
"A382931",
"A382932"
] | null |
Felix Huber, Apr 11 2025
| 2025-04-19T17:48:30 |
oeisdata/seq/A382/A382931.seq
|
fb6204834b89d5610d5149a0c842a3ba
|
A382932
|
a(n) is the altitude of the Pythagorean triangle (A046083(A382931(n)), A046084(A382931(n)), A009000(A382931(n))).
|
[
"12",
"24",
"36",
"48",
"60",
"72",
"60",
"84",
"96",
"108",
"120",
"132",
"120",
"144",
"156",
"120",
"168",
"180",
"192",
"204",
"216",
"228",
"240",
"180",
"252",
"264",
"276",
"240",
"288",
"300",
"168",
"312",
"324",
"240",
"336",
"348",
"360",
"372",
"384",
"396",
"420",
"300",
"408",
"360",
"420",
"432",
"444",
"456",
"468",
"480",
"360",
"492",
"504",
"516"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A008594",
"A009000",
"A046083",
"A046084",
"A382931",
"A382932"
] | null |
Felix Huber, Apr 13 2025
| 2025-05-09T00:51:15 |
oeisdata/seq/A382/A382932.seq
|
efeaac0a3b6bbbb654614eb3fcb45dca
|
A382933
|
Numbers k such that k, 2*m +- 3 and 3*m +- 2 are all semiprimes.
|
[
"451",
"707",
"871",
"1313",
"1537",
"1819",
"1921",
"1969",
"2155",
"2195",
"2533",
"2599",
"2885",
"2993",
"3265",
"3817",
"3883",
"3953",
"3997",
"4069",
"4105",
"4385",
"4555",
"4607",
"5599",
"5755",
"5771",
"6155",
"6415",
"6773",
"7157",
"7453",
"7979",
"8185",
"8213",
"8251",
"8321",
"8333",
"8399",
"8531",
"9055",
"9077",
"9167",
"9335",
"9647",
"9953",
"9977",
"10121",
"10537"
] |
[
"nonn"
] | 13 | 1 | 1 |
[
"A001358",
"A382933"
] | null |
Zak Seidov and Robert Israel, Apr 15 2025
| 2025-04-17T09:51:25 |
oeisdata/seq/A382/A382933.seq
|
e03fbe0bd527fff50606d30ad91b7547
|
A382934
|
a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n+k,k) * binomial(n+2*k,k) * 2^(n-k).
|
[
"1",
"8",
"142",
"3188",
"79306",
"2091128",
"57251944",
"1609275536",
"46123258714",
"1341870616928",
"39505611952852",
"1174352843125976",
"35189447673190864",
"1061579548438995776",
"32210037668484980992",
"982173609216589910528",
"30079350892561552670554",
"924711257106480733093616",
"28524228913983070512002044"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A001850",
"A069835",
"A081798",
"A126086",
"A382934"
] | null |
Ilya Gutkovskiy, Apr 09 2025
| 2025-04-17T04:28:38 |
oeisdata/seq/A382/A382934.seq
|
b866f3a397942618e43d8067e3d26e64
|
A382935
|
Lexicographically earliest sequence of distinct nonnegative integers such that if a digit d in the digit stream (ignoring commas) is odd, the previous digit is > d.
|
[
"0",
"2",
"1",
"4",
"3",
"6",
"5",
"8",
"7",
"10",
"20",
"21",
"22",
"12",
"14",
"16",
"18",
"24",
"26",
"28",
"30",
"40",
"41",
"42",
"43",
"44",
"31",
"46",
"32",
"48",
"34",
"36",
"38",
"50",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"51",
"68",
"52",
"80",
"81",
"82",
"83",
"84",
"85",
"86",
"53",
"87",
"54",
"88",
"56",
"58",
"70",
"200",
"202",
"100",
"204",
"102",
"104",
"106",
"108",
"71",
"206",
"120",
"208"
] |
[
"nonn",
"base",
"look"
] | 22 | 1 | 2 |
[
"A342042",
"A342043",
"A342044",
"A342045",
"A382462",
"A382621",
"A382935",
"A382936",
"A382939",
"A383059",
"A383500",
"A383501"
] | null |
Paolo Xausa, Apr 14 2025
| 2025-04-30T11:09:50 |
oeisdata/seq/A382/A382935.seq
|
aaf8fbee861d8cf8f1d3e9b951c528ef
|
A382936
|
First differences of A382935.
|
[
"2",
"-1",
"3",
"-1",
"3",
"-1",
"3",
"-1",
"3",
"10",
"1",
"1",
"-10",
"2",
"2",
"2",
"6",
"2",
"2",
"2",
"10",
"1",
"1",
"1",
"1",
"-13",
"15",
"-14",
"16",
"-14",
"2",
"2",
"12",
"10",
"1",
"1",
"1",
"1",
"1",
"1",
"-15",
"17",
"-16",
"28",
"1",
"1",
"1",
"1",
"1",
"1",
"-33",
"34",
"-33",
"34",
"-32",
"2",
"12",
"130",
"2",
"-102",
"104",
"-102",
"2",
"2",
"2",
"-37",
"135",
"-86",
"88",
"-136"
] |
[
"sign",
"base"
] | 5 | 1 | 1 |
[
"A382935",
"A382936"
] | null |
Paolo Xausa, Apr 14 2025
| 2025-04-17T09:46:01 |
oeisdata/seq/A382/A382936.seq
|
ce89b864d694a8e69191f474123546e8
|
A382937
|
Positive integers that contain an odd digit d immediately preceded by a digit <= d.
|
[
"11",
"13",
"15",
"17",
"19",
"23",
"25",
"27",
"29",
"33",
"35",
"37",
"39",
"45",
"47",
"49",
"55",
"57",
"59",
"67",
"69",
"77",
"79",
"89",
"99",
"101",
"103",
"105",
"107",
"109",
"110",
"111",
"112",
"113",
"114",
"115",
"116",
"117",
"118",
"119",
"123",
"125",
"127",
"129",
"130",
"131",
"132",
"133",
"134",
"135",
"136",
"137",
"138",
"139",
"145",
"147",
"149",
"150"
] |
[
"nonn",
"base",
"easy"
] | 15 | 1 | 1 |
[
"A347298",
"A382464",
"A382623",
"A382937",
"A382938",
"A383061",
"A383245",
"A383247",
"A383249",
"A383500"
] | null |
Paolo Xausa, Apr 14 2025
| 2025-04-30T10:12:02 |
oeisdata/seq/A382/A382937.seq
|
cc569fb9efd56c7118eb0b0feaf8d9e9
|
A382938
|
Nonnegative integers such that every odd digit except the leftmost is immediately preceded by a larger digit.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"12",
"14",
"16",
"18",
"20",
"21",
"22",
"24",
"26",
"28",
"30",
"31",
"32",
"34",
"36",
"38",
"40",
"41",
"42",
"43",
"44",
"46",
"48",
"50",
"51",
"52",
"53",
"54",
"56",
"58",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"68",
"70",
"71",
"72",
"73",
"74",
"75",
"76",
"78",
"80",
"81",
"82",
"83",
"84",
"85",
"86",
"87",
"88",
"90",
"91",
"92",
"93",
"94",
"95"
] |
[
"nonn",
"base",
"easy"
] | 18 | 1 | 3 |
[
"A377912",
"A382465",
"A382624",
"A382937",
"A382938",
"A383062",
"A383246",
"A383248",
"A383250",
"A383501"
] | null |
Paolo Xausa, Apr 14 2025
| 2025-04-30T10:13:23 |
oeisdata/seq/A382/A382938.seq
|
8b62c42c089c5cae4bf0cb5f781a62b0
|
A382939
|
Split A382935 into runs of increasing elements. a(n) is the length of the n-th run.
|
[
"2",
"2",
"2",
"2",
"5",
"13",
"2",
"2",
"11",
"2",
"8",
"2",
"2",
"5",
"2",
"4",
"2",
"2",
"4",
"4",
"3",
"2",
"5",
"3",
"5",
"6",
"3",
"2",
"7",
"30",
"2",
"5",
"4",
"5",
"2",
"5",
"5",
"2",
"5",
"2",
"5",
"6",
"2",
"2",
"10",
"2",
"2",
"2",
"19",
"2",
"5",
"4",
"6",
"2",
"8",
"2",
"7",
"2",
"9",
"2",
"8",
"2",
"10",
"2",
"2",
"5",
"2",
"7",
"2",
"6",
"2",
"6",
"2",
"9",
"2",
"7",
"2",
"8",
"2",
"12",
"10",
"4",
"4",
"3",
"2",
"4",
"3"
] |
[
"nonn",
"base"
] | 6 | 1 | 1 |
[
"A382935",
"A382939"
] | null |
Paolo Xausa, Apr 14 2025
| 2025-04-17T09:46:41 |
oeisdata/seq/A382/A382939.seq
|
033c2c2fc9196f5a28ca4ec4feeca3a6
|
A382940
|
a(n) = A382883(n) * n.
|
[
"1",
"-2",
"-3",
"4",
"-5",
"6",
"-7",
"8",
"9",
"10",
"-11",
"0",
"-13",
"14",
"15",
"0",
"-17",
"0",
"-19",
"0",
"21",
"22",
"-23",
"0",
"25",
"26",
"27",
"0",
"-29",
"-30",
"-31",
"32",
"33",
"34",
"35",
"-36",
"-37",
"38",
"39",
"0",
"-41",
"-42",
"-43",
"0",
"0",
"46",
"-47",
"0",
"49",
"0",
"51",
"0",
"-53",
"0",
"55",
"0",
"57",
"58",
"-59",
"0",
"-61",
"62",
"0",
"-64",
"65",
"-66"
] |
[
"sign"
] | 10 | 1 | 2 |
[
"A055615",
"A382883",
"A382940"
] | null |
Peter Luschny, Apr 09 2025
| 2025-04-29T16:52:55 |
oeisdata/seq/A382/A382940.seq
|
df398e1c3405252e58a2227244bea762
|
A382941
|
a(n) = exp(Sum_{d|n} A382883(d)*log(n/d)).
|
[
"1",
"2",
"3",
"2",
"5",
"1",
"7",
"4",
"3",
"1",
"11",
"3",
"13",
"1",
"1",
"16",
"17",
"2",
"19",
"5",
"1",
"1",
"23",
"18",
"5",
"1",
"9",
"7",
"29",
"1",
"31",
"64",
"1",
"1",
"1",
"36",
"37",
"1",
"1",
"50",
"41",
"1",
"43",
"11",
"5",
"1",
"47",
"72",
"7",
"2",
"1",
"13",
"53",
"12",
"1",
"98",
"1",
"1",
"59",
"15",
"61",
"1",
"7",
"512",
"1",
"1",
"67",
"17",
"1",
"1",
"71",
"648",
"73",
"1",
"3",
"19"
] |
[
"nonn"
] | 17 | 1 | 2 |
[
"A000469",
"A014963",
"A205959",
"A382883",
"A382941",
"A383263"
] | null |
Peter Luschny, Apr 09 2025
| 2025-04-29T16:52:45 |
oeisdata/seq/A382/A382941.seq
|
49c4c66c2e87c1d9ff2b116af6b3dbce
|
A382942
|
a(n) = Sum_{k=1..n} A382883(k).
|
[
"1",
"0",
"-1",
"0",
"-1",
"0",
"-1",
"0",
"1",
"2",
"1",
"1",
"0",
"1",
"2",
"2",
"1",
"1",
"0",
"0",
"1",
"2",
"1",
"1",
"2",
"3",
"4",
"4",
"3",
"2",
"1",
"2",
"3",
"4",
"5",
"4",
"3",
"4",
"5",
"5",
"4",
"3",
"2",
"2",
"2",
"3",
"2",
"2",
"3",
"3",
"4",
"4",
"3",
"3",
"4",
"4",
"5",
"6",
"5",
"5",
"4",
"5",
"5",
"4",
"5",
"4",
"3",
"3",
"4",
"3",
"2",
"2",
"1",
"2",
"2",
"2",
"3",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"3"
] |
[
"sign"
] | 8 | 1 | 10 |
[
"A002321",
"A382883",
"A382942"
] | null |
Peter Luschny, Apr 10 2025
| 2025-04-29T16:52:58 |
oeisdata/seq/A382/A382942.seq
|
b92a45eb9762444757a0fb8d8b424ade
|
A382943
|
Numbers k such that A382883(k) = 0.
|
[
"12",
"16",
"18",
"20",
"24",
"28",
"40",
"44",
"45",
"48",
"50",
"52",
"54",
"56",
"60",
"63",
"68",
"72",
"75",
"76",
"80",
"81",
"84",
"88",
"90",
"92",
"96",
"98",
"99",
"104",
"108",
"112",
"116",
"117",
"120",
"124",
"126",
"132",
"135",
"136",
"140",
"144",
"147",
"148",
"150",
"152",
"153",
"156",
"160",
"162",
"164",
"168",
"171",
"172",
"175",
"176",
"180",
"184",
"188",
"189"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A059404",
"A217261",
"A382881",
"A382883",
"A382943",
"A383016",
"A383017"
] | null |
Peter Luschny, Apr 12 2025
| 2025-04-29T16:53:02 |
oeisdata/seq/A382/A382943.seq
|
c163f7e4e90af839a2036b4444950347
|
A382944
|
Table read by rows: T(n, k) = valuation(n, k) for k >= 2, 1 for k = 1 and 0^n for k = 0.
|
[
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"3",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"2",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1"
] |
[
"nonn",
"tabl"
] | 17 | 0 | 13 |
[
"A057427",
"A113704",
"A169594",
"A382881",
"A382883",
"A382944"
] | null |
Peter Luschny, Apr 09 2025
| 2025-04-30T03:35:51 |
oeisdata/seq/A382/A382944.seq
|
4912642de6e44f843af33f8f6d0eb2e4
|
A382945
|
a(n) is the least positive integer k having a divisor d such that k/d is not a power of n and the base n expansions of k and d, possibly with leading zeros, have, up to order, the same digits.
|
[
"9",
"28",
"18",
"16",
"40",
"36",
"42",
"64",
"105",
"45",
"154",
"105",
"130",
"168",
"260",
"120",
"340",
"96",
"266",
"275",
"495",
"231",
"460",
"351",
"450",
"273",
"792",
"175",
"928",
"280",
"682",
"1024",
"308",
"459",
"1302",
"741",
"962",
"665",
"1612",
"288",
"1804",
"560",
"1290",
"1265",
"2139",
"1035",
"1974",
"540",
"952",
"715",
"2720",
"585"
] |
[
"nonn",
"base"
] | 13 | 2 | 1 |
[
"A096092",
"A382945",
"A382946"
] | null |
Rémy Sigrist, Apr 09 2025
| 2025-04-14T09:07:52 |
oeisdata/seq/A382/A382945.seq
|
b85ce906f35419e070bb0e72f83b8777
|
A382946
|
a(n) is the least positive integer k having a proper divisor d such that the base n expansions of k and d, without leading zeros, have, up to order, the same digits, or a(n) = -1 if no such k exists.
|
[
"-1",
"64",
"36",
"16",
"700",
"36",
"42",
"64",
"3105",
"45",
"594",
"105",
"130",
"168",
"945",
"120",
"1666",
"96",
"266",
"275",
"2457",
"231",
"460",
"351",
"450",
"273",
"7938",
"175",
"7714",
"280",
"682",
"1024",
"308",
"459",
"7525",
"741",
"962",
"665",
"27300",
"288",
"17097",
"560",
"1290",
"1265",
"18540",
"1035",
"1974",
"540",
"952",
"715"
] |
[
"sign",
"base"
] | 11 | 2 | 2 |
[
"A023094",
"A090056",
"A382945",
"A382946"
] | null |
Rémy Sigrist, Apr 09 2025
| 2025-04-14T09:07:47 |
oeisdata/seq/A382/A382946.seq
|
45b234b386a333d91f3631633c5999cb
|
A382947
|
a(n) = [(x*y)^n] Product_{k>=1} 1 / (1 - x^k - y^k)^k.
|
[
"1",
"2",
"16",
"78",
"426",
"1940",
"9300",
"40530",
"177940",
"749788",
"3137352",
"12865488",
"52425432",
"211336062",
"848099898",
"3385259588",
"13475690578",
"53504526568",
"212146065506",
"840218845230",
"3325872415258",
"13159945010474",
"52064974607244",
"205979887425498",
"814961759722486"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A000219",
"A322211",
"A382947"
] | null |
Ilya Gutkovskiy, Apr 09 2025
| 2025-04-11T10:38:18 |
oeisdata/seq/A382/A382947.seq
|
bf647fe2ae14c25505e26d0976903c16
|
A382948
|
a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k + y^k)^k.
|
[
"1",
"0",
"2",
"18",
"50",
"190",
"536",
"1644",
"4432",
"12876",
"33560",
"89118",
"227734",
"572578",
"1409602",
"3424996",
"8150818",
"19152532",
"44455758",
"101565172",
"229712612",
"513207144",
"1134650028",
"2481664146",
"5379539720",
"11545719858",
"24574548632",
"51855844492",
"108559596182"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A026007",
"A365662",
"A382948"
] | null |
Ilya Gutkovskiy, Apr 09 2025
| 2025-04-11T10:22:39 |
oeisdata/seq/A382/A382948.seq
|
9d16a45157b608a948daacd6e45e9640
|
A382949
|
a(n) = [(x*y)^n] Product_{k>=1} 1 / (1 - x^k - y^k)^n.
|
[
"1",
"2",
"48",
"1190",
"33648",
"996292",
"30626316",
"965163166",
"30995087312",
"1009925740946",
"33289934968618",
"1107728567917028",
"37149902553751260",
"1254165186821008126",
"42580296599191705276",
"1452739684287637542640",
"49776378699192072523920",
"1711962807156690517057454"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A008485",
"A322211",
"A382949"
] | null |
Ilya Gutkovskiy, Apr 09 2025
| 2025-04-10T07:24:12 |
oeisdata/seq/A382/A382949.seq
|
00817249902abadf2c79f555d06d3fbc
|
A382950
|
a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k + y^k)^n.
|
[
"1",
"0",
"6",
"102",
"1342",
"20030",
"306852",
"4783534",
"75873934",
"1220259306",
"19837742836",
"325375411438",
"5376744428812",
"89412908941096",
"1494992390431000",
"25114561595879252",
"423649216254936110",
"7172523302899053230",
"121828099966104173892",
"2075321708914763792740"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A270913",
"A365662",
"A382950"
] | null |
Ilya Gutkovskiy, Apr 09 2025
| 2025-04-10T06:46:01 |
oeisdata/seq/A382/A382950.seq
|
f2d9259755daf74488881d7dc2fe865c
|
A382951
|
Sequence of positive integers with no repetitions and, when put in a spiral, all lines (straight or diagonal) are pairwise coprime.
|
[
"1",
"2",
"3",
"5",
"4",
"7",
"11",
"9",
"13",
"17",
"19",
"23",
"8",
"29",
"31",
"27",
"25",
"37",
"39",
"16",
"41",
"43",
"14",
"47",
"33",
"53",
"35",
"59",
"61",
"67",
"71",
"73",
"49",
"79",
"83",
"89",
"97",
"101",
"103",
"55",
"107",
"109",
"91",
"113",
"85",
"127",
"131",
"137",
"139",
"121",
"149",
"151",
"157",
"133",
"163",
"65",
"167",
"51",
"125",
"173",
"143",
"179",
"181",
"191",
"161",
"22",
"193",
"169",
"197",
"199",
"211"
] |
[
"nonn"
] | 39 | 1 | 2 |
[
"A336349",
"A382951"
] | null |
Bryle Morga, Apr 09 2025
| 2025-04-16T07:26:59 |
oeisdata/seq/A382/A382951.seq
|
d089bee087890abcc81b614ae4adb22e
|
A382952
|
Maximum number of intercalates in an extended self-orthogonal diagonal Latin square of order n.
|
[
"0",
"0",
"0",
"12",
"0",
"0",
"18",
"112",
"72",
"53"
] |
[
"nonn",
"more",
"hard"
] | 16 | 1 | 4 |
[
"A092237",
"A307164",
"A309210",
"A309598",
"A309599",
"A360223",
"A382952",
"A382957"
] | null |
Eduard I. Vatutin, Apr 09 2025
| 2025-04-23T18:14:42 |
oeisdata/seq/A382/A382952.seq
|
9a593a88d6aaa102c0dd805290bc0120
|
A382953
|
Numbers with at least one factorization for which the factors can be partitioned into 2 or more distinct subsets with equal sums.
|
[
"16",
"30",
"48",
"54",
"64",
"70",
"72",
"84",
"96",
"120",
"126",
"128",
"144",
"160",
"162",
"180",
"192",
"198",
"210",
"216",
"240",
"243",
"250",
"252",
"256",
"264",
"270",
"280",
"286",
"288",
"300",
"308",
"320",
"324",
"330",
"336",
"360",
"378",
"384",
"390",
"396",
"400",
"420",
"432",
"440",
"448",
"462",
"468",
"480",
"486",
"495",
"504",
"510",
"512"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A083207",
"A255265",
"A322657",
"A382953"
] | null |
Charles L. Hohn, Apr 09 2025
| 2025-04-12T12:46:37 |
oeisdata/seq/A382/A382953.seq
|
7270fb4c7e60b31b9a4786bb2a24fe57
|
A382954
|
Number of ways to partition distinct prime numbers into three disjoint sets such that the sum of each set equals n.
|
[
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"3",
"2",
"8",
"1",
"1",
"4",
"0",
"14",
"9",
"1",
"4",
"7",
"16",
"26",
"31",
"17",
"3",
"19",
"39",
"54",
"20",
"62",
"9",
"41",
"96",
"89",
"62",
"66",
"34",
"59",
"197",
"241",
"289",
"69",
"124",
"184",
"133",
"481",
"440",
"148",
"225",
"394",
"709",
"808",
"984",
"555",
"414",
"799"
] |
[
"nonn"
] | 16 | 0 | 25 |
[
"A000607",
"A258281",
"A382871",
"A382954"
] | null |
Seiichi Manyama, Apr 10 2025
| 2025-04-10T08:34:46 |
oeisdata/seq/A382/A382954.seq
|
5ef94774a440c7c723fbabe6ae4977a4
|
A382955
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{p prime} (1 + x^p + y^p).
|
[
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"1",
"1",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"2",
"0",
"1",
"2",
"0",
"2",
"0",
"2",
"1",
"0",
"2",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"0",
"1",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"1",
"0",
"2"
] |
[
"nonn",
"tabl"
] | 14 | 0 | 16 |
[
"A000004",
"A000586",
"A284593",
"A382871",
"A382955",
"A382956"
] | null |
Seiichi Manyama, Apr 10 2025
| 2025-04-10T06:48:19 |
oeisdata/seq/A382/A382955.seq
|
85e0ce7dd9096b122417c73c7a55429a
|
A382956
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{p prime} 1/(1 - x^p - y^p).
|
[
"1",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"2",
"0",
"1",
"2",
"0",
"1",
"1",
"0",
"2",
"2",
"0",
"3",
"2",
"3",
"0",
"2",
"3",
"0",
"3",
"1",
"1",
"3",
"0",
"3",
"3",
"0",
"5",
"3",
"6",
"3",
"5",
"0",
"3",
"4",
"0",
"6",
"4",
"4",
"4",
"4",
"6",
"0",
"4",
"5",
"0",
"8",
"4",
"11",
"8",
"11",
"4",
"8",
"0",
"5",
"6",
"0",
"10",
"6",
"10",
"9",
"9",
"10",
"6",
"10",
"0",
"6",
"7",
"0",
"13",
"8",
"19",
"13",
"28",
"13",
"19",
"8",
"13",
"0",
"7"
] |
[
"nonn",
"tabl"
] | 12 | 0 | 13 |
[
"A000004",
"A000607",
"A322210",
"A382955",
"A382956"
] | null |
Seiichi Manyama, Apr 10 2025
| 2025-04-10T06:48:29 |
oeisdata/seq/A382/A382956.seq
|
a69c1b807a1032848d34cf7dcb3aa366
|
A382957
|
a(n) is the number of distinct numbers of intercalates extended self-orthogonal diagonal Latin squares of order n.
|
[
"1",
"0",
"0",
"1",
"1",
"0",
"3",
"8",
"52",
"45"
] |
[
"nonn",
"more",
"hard"
] | 9 | 1 | 7 |
[
"A309210",
"A309598",
"A309599",
"A329685",
"A345760",
"A382952",
"A382957"
] | null |
Eduard I. Vatutin, Apr 10 2025
| 2025-04-29T13:20:52 |
oeisdata/seq/A382/A382957.seq
|
d333924e22433fb4e118090e41e076a0
|
A382958
|
a(n) = (n!)^2 * [(x*y)^n] Product_{k>=1} 1 / (1 - (x^k + y^k)/k!).
|
[
"1",
"2",
"30",
"920",
"53078",
"4828892",
"643086588",
"117718532696",
"28378716172822",
"8713799596723484",
"3320414836230009080",
"1537509304647364575716",
"850310874146059999520372",
"553587598414859641796343780",
"419087377790397643526857611312",
"365040505934072220586791778761920"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A005651",
"A322211",
"A382958"
] | null |
Ilya Gutkovskiy, Apr 10 2025
| 2025-04-25T06:34:24 |
oeisdata/seq/A382/A382958.seq
|
41291984393becf884e281c413a7a444
|
A382959
|
a(n) = (n!)^2 * [(x*y)^n] Product_{k>=1} (1 + (x^k + y^k)/k!).
|
[
"1",
"0",
"0",
"6",
"8",
"130",
"342",
"2590",
"21240",
"167730",
"1874930",
"46128610",
"417338462",
"5163377570",
"542567363366",
"3984766703746",
"42736508056760",
"681324935577810",
"127138303030260258",
"1011227775808000450",
"14280379156264610778",
"276342548314653322270",
"12566141342987866203746"
] |
[
"nonn"
] | 11 | 0 | 4 |
[
"A007837",
"A108796",
"A365662",
"A382959"
] | null |
Ilya Gutkovskiy, Apr 10 2025
| 2025-04-24T05:59:00 |
oeisdata/seq/A382/A382959.seq
|
73636b7ce54509bc672a8c2fbbecd440
|
A382960
|
Numbers k such that k < A053669(k)^2 * A380539(k)^2, i.e., k < A382767(k).
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"38",
"39",
"40",
"42",
"44",
"45",
"46",
"48",
"50",
"51",
"52",
"54",
"56",
"57",
"58",
"60",
"62",
"63",
"64",
"66",
"68",
"69",
"70",
"72",
"74",
"75",
"76",
"78",
"80",
"81",
"82",
"84"
] |
[
"nonn",
"easy",
"fini",
"full"
] | 22 | 1 | 2 |
[
"A048597",
"A051250",
"A053669",
"A286708",
"A380539",
"A382659",
"A382767",
"A382960"
] | null |
Michael De Vlieger, Apr 14 2025
| 2025-04-19T18:06:51 |
oeisdata/seq/A382/A382960.seq
|
58ab73af778313e6188404b61462b1c5
|
A382961
|
A sequence constructed by greedily sampling the logarithmic distribution for parameter value 1/2, 1/(log(2)*(2^i)*i) to minimize discrepancy.
|
[
"1",
"1",
"2",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"4",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"5",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"4",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"1",
"1",
"1",
"6",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"1",
"2",
"1",
"1",
"1",
"2"
] |
[
"nonn"
] | 24 | 1 | 3 |
[
"A381617",
"A381898",
"A381900",
"A382961",
"A383238"
] | null |
Jwalin Bhatt, Apr 10 2025
| 2025-06-06T00:15:35 |
oeisdata/seq/A382/A382961.seq
|
2e01f7b76f5f62e98891c8475f10314f
|
A382962
|
Number of symmetric ternary maps f : S X S X S -> S on a set S of n elements which can be represented as a superposition of binary maps * : S X S -> S.
|
[
"1",
"5",
"48",
"831",
"21320",
"772422"
] |
[
"nonn",
"hard",
"more"
] | 18 | 1 | 2 |
[
"A283840",
"A283841",
"A382962"
] | null |
Bert Dobbelaere, Apr 10 2025
| 2025-04-25T20:41:06 |
oeisdata/seq/A382/A382962.seq
|
ce6904427edc72e4200afe69d2990576
|
A382963
|
Prime index gaps between consecutive full reptend primes.
|
[
"3",
"1",
"1",
"1",
"5",
"2",
"1",
"7",
"4",
"1",
"2",
"3",
"4",
"2",
"1",
"2",
"4",
"2",
"1",
"4",
"1",
"1",
"8",
"3",
"5",
"2",
"1",
"1",
"4",
"3",
"5",
"4",
"1",
"1",
"1",
"1",
"3",
"5",
"1",
"2",
"6",
"4",
"2",
"6",
"1",
"2",
"3",
"9",
"1",
"1",
"5",
"2",
"4",
"5",
"1",
"2",
"2",
"1",
"1",
"5",
"1",
"2",
"3",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"5",
"2",
"1",
"2",
"3",
"1",
"1",
"4",
"5",
"1",
"1",
"1",
"4",
"2",
"2",
"5",
"1"
] |
[
"nonn",
"easy"
] | 18 | 1 | 1 |
[
"A000040",
"A000720",
"A001913",
"A060257",
"A382963"
] | null |
Kyle Wyonch, Apr 10 2025
| 2025-04-10T17:05:22 |
oeisdata/seq/A382/A382963.seq
|
893134ec4dbe0aaa7a8de1be1e6fee3c
|
A382964
|
Number of k <= n such that rad(k) divides n and g * k > n where g is the largest prime factor of n and rad = A007947.
|
[
"0",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"4",
"1",
"4",
"1",
"4",
"3",
"1",
"1",
"5",
"1",
"5",
"3",
"5",
"1",
"5",
"1",
"5",
"1",
"5",
"1",
"12",
"1",
"1",
"4",
"6",
"3",
"6",
"1",
"6",
"4",
"6",
"1",
"14",
"1",
"6",
"4",
"6",
"1",
"6",
"1",
"6",
"4",
"6",
"1",
"6",
"3",
"6",
"4",
"6",
"1",
"16",
"1",
"6",
"4",
"1",
"3",
"17",
"1",
"7",
"4",
"13",
"1",
"7",
"1",
"7",
"4",
"7",
"3",
"18",
"1",
"7",
"1",
"7",
"1",
"19",
"3"
] |
[
"nonn"
] | 34 | 1 | 6 |
[
"A007947",
"A010846",
"A024619",
"A162306",
"A246655",
"A382926",
"A382964"
] | null |
Michael De Vlieger, Apr 28 2025
| 2025-05-09T00:56:44 |
oeisdata/seq/A382/A382964.seq
|
4c68b7e88798d3454585b316d87f801a
|
A382965
|
The number of non-unitary prime divisors of the n-th cubefree number that is not squarefree.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn",
"easy"
] | 9 | 1 | 8 |
[
"A002117",
"A013661",
"A046660",
"A056170",
"A067259",
"A369427",
"A376366",
"A382965",
"A382966",
"A382968"
] | null |
Amiram Eldar, Apr 10 2025
| 2025-04-11T08:46:18 |
oeisdata/seq/A382/A382965.seq
|
c78fbf7a5096e555d5ed7409bff8c788
|
A382966
|
The number of non-unitary prime divisors of the n-th biquadratefree number that is not cubefree.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1"
] |
[
"nonn",
"easy"
] | 7 | 1 | 7 |
[
"A002117",
"A013662",
"A056170",
"A375072",
"A376366",
"A382425",
"A382965",
"A382966",
"A382968"
] | null |
Amiram Eldar, Apr 10 2025
| 2025-04-11T08:46:32 |
oeisdata/seq/A382/A382966.seq
|
88f7501339cdcc547445374260fb4885
|
A382967
|
Biquadratefree numbers (A046100) that are not squarefree (A005117).
|
[
"4",
"8",
"9",
"12",
"18",
"20",
"24",
"25",
"27",
"28",
"36",
"40",
"44",
"45",
"49",
"50",
"52",
"54",
"56",
"60",
"63",
"68",
"72",
"75",
"76",
"84",
"88",
"90",
"92",
"98",
"99",
"100",
"104",
"108",
"116",
"117",
"120",
"121",
"124",
"125",
"126",
"132",
"135",
"136",
"140",
"147",
"148",
"150",
"152",
"153",
"156",
"164",
"168",
"169",
"171",
"172",
"175",
"180",
"184"
] |
[
"nonn",
"easy"
] | 21 | 1 | 1 |
[
"A004709",
"A005117",
"A013929",
"A046100",
"A051903",
"A059956",
"A067259",
"A215267",
"A252849",
"A375072",
"A375229",
"A382967"
] | null |
Amiram Eldar, Apr 10 2025
| 2025-04-22T06:31:46 |
oeisdata/seq/A382/A382967.seq
|
a305a4400f33f22a1b0a0712b9369553
|
A382968
|
The number of non-unitary prime divisors of the n-th biquadratefree number that is not squarefree.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn",
"easy"
] | 7 | 1 | 11 |
[
"A056170",
"A382425",
"A382965",
"A382966",
"A382967",
"A382968"
] | null |
Amiram Eldar, Apr 10 2025
| 2025-04-11T08:16:10 |
oeisdata/seq/A382/A382968.seq
|
5768891038ab5972b52b5494dfd624bd
|
A382969
|
The excess of the n-th noncubefree number.
|
[
"2",
"3",
"2",
"2",
"4",
"2",
"3",
"2",
"2",
"5",
"3",
"3",
"3",
"2",
"4",
"2",
"3",
"3",
"2",
"2",
"6",
"2",
"2",
"4",
"2",
"4",
"3",
"2",
"3",
"2",
"2",
"5",
"3",
"3",
"4",
"4",
"2",
"3",
"4",
"2",
"2",
"7",
"2",
"2",
"3",
"2",
"5",
"2",
"2",
"3",
"2",
"5",
"4",
"2",
"3",
"2",
"2",
"2",
"4",
"3",
"3",
"2",
"2",
"2",
"6",
"3",
"4",
"3",
"2",
"4",
"2",
"5",
"2",
"5",
"2",
"2",
"3",
"2",
"4",
"4",
"2",
"3",
"3",
"3",
"8",
"2",
"2"
] |
[
"nonn",
"easy"
] | 11 | 1 | 1 |
[
"A002117",
"A046099",
"A046660",
"A136141",
"A275699",
"A376366",
"A382969"
] | null |
Amiram Eldar, Apr 10 2025
| 2025-04-14T06:18:10 |
oeisdata/seq/A382/A382969.seq
|
2a6dac544a9452e8d0ff979418715502
|
A382970
|
Numbers k such that {k, k+2, k+6, k+8, k+90, k+92, k+96, k+98} are all prime.
|
[
"11",
"101",
"15641",
"3512981",
"6655541",
"20769311",
"26919791",
"41487071",
"71541641",
"160471601",
"189425981",
"236531921",
"338030591",
"409952351",
"423685721",
"431343461",
"518137091",
"543062621",
"588273221",
"637272191",
"639387311",
"647851571",
"705497951",
"726391571",
"843404201",
"895161341",
"958438751",
"960813851",
"964812461",
"985123961"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A007530",
"A059925",
"A128467",
"A382970"
] | null |
David Mellinger, Apr 10 2025
| 2025-04-18T17:41:34 |
oeisdata/seq/A382/A382970.seq
|
4b5d5cdf76918c5bdfda439b9bf86a59
|
A382971
|
Population of elementary triangular automaton rule 146 at generation n, starting from a lone 1 cell at generation 0.
|
[
"1",
"4",
"7",
"13",
"7",
"28",
"25",
"46",
"13",
"46",
"43",
"79",
"49",
"133",
"73",
"160",
"55",
"109",
"91",
"211",
"73",
"238",
"199",
"337",
"133",
"343",
"187",
"388",
"211",
"523",
"277",
"607",
"205",
"478",
"241",
"559",
"259",
"679",
"361",
"748",
"379",
"805",
"493",
"967",
"523",
"1042",
"709",
"1372",
"391",
"976",
"709",
"1501",
"649",
"1612",
"895"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A372581",
"A380012",
"A380670",
"A381734",
"A382971",
"A382972",
"A383028"
] | null |
Paul Cousin, Apr 10 2025
| 2025-05-14T09:05:11 |
oeisdata/seq/A382/A382971.seq
|
6482aee1dd1f4ccc649ca31fdd78bb39
|
A382972
|
Second center column of elementary triangular automaton rule 146, starting from a lone 1 cell.
|
[
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0"
] |
[
"nonn"
] | 12 | 0 | null |
[
"A374413",
"A374769",
"A380172",
"A382971",
"A382972",
"A383028"
] | null |
Paul Cousin, Apr 10 2025
| 2025-05-14T09:05:16 |
oeisdata/seq/A382/A382972.seq
|
cd7ebb82f64b1b2147a5750a5f036a8d
|
A382973
|
a(n) = 4*n^3 - 6*n^2 + 6*n - 2 + (-1)^n.
|
[
"1",
"19",
"69",
"183",
"377",
"683",
"1117",
"1711",
"2481",
"3459",
"4661",
"6119",
"7849",
"9883",
"12237",
"14943",
"18017",
"21491",
"25381",
"29719",
"34521",
"39819",
"45629",
"51983",
"58897",
"66403",
"74517",
"83271",
"92681",
"102779",
"113581",
"125119",
"137409",
"150483",
"164357",
"179063",
"194617",
"211051",
"228381",
"246639"
] |
[
"nonn",
"easy"
] | 27 | 1 | 2 |
[
"A000578",
"A011934",
"A382973"
] | null |
Nicolay Avilov, Jun 02 2025
| 2025-06-18T18:58:53 |
oeisdata/seq/A382/A382973.seq
|
a93775e040af451102a269b4ba863bb4
|
A382974
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{j>=1} 1/(1 - x^j + y^j).
|
[
"1",
"-1",
"1",
"0",
"-2",
"2",
"-1",
"2",
"-4",
"3",
"1",
"-3",
"4",
"-7",
"5",
"-1",
"4",
"-8",
"10",
"-12",
"7",
"1",
"-5",
"14",
"-20",
"18",
"-19",
"11",
"-1",
"6",
"-18",
"34",
"-40",
"34",
"-30",
"15",
"2",
"-7",
"22",
"-51",
"78",
"-77",
"56",
"-45",
"22",
"-2",
"9",
"-30",
"75",
"-127",
"157",
"-139",
"94",
"-67",
"30",
"2",
"-11",
"42",
"-105",
"196",
"-282",
"306",
"-239",
"146",
"-97",
"42"
] |
[
"sign",
"tabl"
] | 12 | 0 | 5 |
[
"A000007",
"A000041",
"A000070",
"A081362",
"A304631",
"A322210",
"A382974",
"A382979"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-11T07:55:39 |
oeisdata/seq/A382/A382974.seq
|
19c42e81c7f07bc583dcacb1401ccf19
|
A382975
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = [x^n * y^k] Product_{j>=1} (1 + x^j - y^j).
|
[
"1",
"-1",
"1",
"-1",
"0",
"1",
"0",
"-1",
"-1",
"2",
"0",
"-1",
"0",
"-1",
"2",
"1",
"-1",
"-1",
"-1",
"-1",
"3",
"0",
"0",
"0",
"0",
"-2",
"-2",
"4",
"1",
"0",
"0",
"-2",
"0",
"-2",
"-2",
"5",
"0",
"1",
"0",
"-1",
"0",
"-1",
"-2",
"-3",
"6",
"0",
"1",
"1",
"0",
"-1",
"-1",
"-2",
"-3",
"-3",
"8",
"0",
"1",
"0",
"0",
"-1",
"2",
"-1",
"-2",
"-4",
"-5",
"10",
"0",
"1",
"1",
"0",
"1",
"-2",
"0",
"-1",
"-2",
"-5",
"-5",
"12"
] |
[
"sign",
"tabl"
] | 14 | 0 | 10 |
[
"A000007",
"A000009",
"A010815",
"A015744",
"A025147",
"A078616",
"A284593",
"A297054",
"A382975",
"A382980"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-11T07:55:33 |
oeisdata/seq/A382/A382975.seq
|
70cec0de05021ad1ffc80af43a5784a6
|
A382976
|
Expansion of Product_{k>=1} (1 + (2^k + 1) * x^k).
|
[
"1",
"3",
"5",
"24",
"44",
"129",
"384",
"897",
"2220",
"5706",
"15268",
"35178",
"89829",
"212982",
"526222",
"1294263",
"3087570",
"7300896",
"17726100",
"41705904",
"98782950",
"236059794",
"551697495",
"1293417672",
"3033232130",
"7081297146",
"16430673765",
"38347412562",
"88762751808",
"204970377366",
"473719894598"
] |
[
"nonn"
] | 22 | 0 | 2 |
[
"A000051",
"A079555",
"A266964",
"A284593",
"A322199",
"A382976",
"A382977",
"A382978"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-11T11:16:15 |
oeisdata/seq/A382/A382976.seq
|
6a46c35486e30dc6887a78c1ee92a8fb
|
A382977
|
Expansion of Product_{k>=1} 1/(1 - (2^k - 1) * x^k).
|
[
"1",
"1",
"4",
"11",
"35",
"87",
"271",
"659",
"1908",
"4832",
"13132",
"32688",
"89109",
"218385",
"571489",
"1427388",
"3652877",
"8980805",
"22858201",
"55822728",
"140065621",
"342001192",
"845707856",
"2052802367",
"5057431745",
"12197383588",
"29738238996",
"71604414162",
"173406091548",
"415167136507",
"1000881376700"
] |
[
"nonn"
] | 21 | 0 | 3 |
[
"A000225",
"A266964",
"A322199",
"A382976",
"A382977",
"A382978"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-13T16:21:32 |
oeisdata/seq/A382/A382977.seq
|
d238348afa8d26be9290ad24941fb2be
|
A382978
|
Expansion of Product_{k>=1} (1 + (2^k - 1) * x^k).
|
[
"1",
"1",
"3",
"10",
"22",
"67",
"160",
"433",
"986",
"2774",
"6386",
"16214",
"39201",
"95868",
"229644",
"569707",
"1324730",
"3186326",
"7664378",
"17955006",
"42497434",
"100710158",
"235492595",
"549267552",
"1288847672",
"2990756088",
"6958113345",
"16148883002",
"37286262238",
"85880711282",
"198840926982",
"454980392570"
] |
[
"nonn"
] | 23 | 0 | 3 |
[
"A000225",
"A048651",
"A266964",
"A322199",
"A382976",
"A382977",
"A382978"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-14T07:38:54 |
oeisdata/seq/A382/A382978.seq
|
ac501af3b70505265ceba982bdb0e6fc
|
A382979
|
a(n) = [(x*y)^n] Product_{k>=1} 1/(1 - x^k + y^k).
|
[
"1",
"-2",
"4",
"-20",
"78",
"-282",
"1048",
"-4014",
"15456",
"-59224",
"227646",
"-879694",
"3407730",
"-13219372",
"51375286",
"-200021556",
"779870542",
"-3044448644",
"11898709560",
"-46553635346",
"182315752476",
"-714619687038",
"2803342734160",
"-11005274516610",
"43233909672938",
"-169951684067602",
"668474115081988"
] |
[
"sign"
] | 15 | 0 | 2 |
[
"A100221",
"A322211",
"A382974",
"A382979"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-13T13:39:43 |
oeisdata/seq/A382/A382979.seq
|
8b1491e98bbe49c23c9a8f581161e9c1
|
A382980
|
a(n) = [(x*y)^n] Product_{k>=1} (1 + x^k - y^k).
|
[
"1",
"0",
"0",
"0",
"0",
"2",
"0",
"4",
"2",
"6",
"4",
"10",
"6",
"14",
"10",
"14",
"10",
"20",
"6",
"22",
"2",
"10",
"14",
"16",
"-32",
"14",
"6",
"-26",
"-20",
"12",
"-56",
"28",
"-2",
"-38",
"96",
"56",
"-38",
"200",
"298",
"82",
"338",
"460",
"446",
"666",
"852",
"456",
"1580",
"1172",
"1048",
"1608",
"2426",
"1236",
"2810",
"2222",
"2824",
"2066",
"3716",
"1612",
"5498"
] |
[
"sign"
] | 17 | 0 | 6 |
[
"A365662",
"A382975",
"A382980"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-14T17:32:54 |
oeisdata/seq/A382/A382980.seq
|
8d4edb3c67439c2ed7a7e7df151f7aaa
|
A382981
|
The smallest n-digit prime that turns composite at each step as its digits are successively appended, starting from the last.
|
[
"2",
"11",
"101",
"1019",
"10007",
"100043",
"1000003",
"10000019",
"100000007",
"1000000007",
"10000000019",
"100000000003",
"1000000000039",
"10000000000037",
"100000000000031",
"1000000000000037",
"10000000000000061",
"100000000000000003",
"1000000000000000003",
"10000000000000000051"
] |
[
"nonn",
"base"
] | 22 | 1 | 1 |
[
"A003617",
"A382899",
"A382981"
] | null |
Jean-Marc Rebert, Apr 11 2025
| 2025-04-16T10:30:06 |
oeisdata/seq/A382/A382981.seq
|
e5ffe428b603ad48593c1590ede5550e
|
A382982
|
Primes of the form Sum_{i=j..k} prime(i)^prime(i).
|
[
"31",
"826699",
"303160419086407"
] |
[
"nonn"
] | 18 | 1 | 1 |
[
"A051674",
"A061789",
"A340392",
"A382982"
] | null |
Zak Seidov and Robert Israel, Apr 11 2025
| 2025-04-17T09:51:37 |
oeisdata/seq/A382/A382982.seq
|
8192b223f2cc306bc00dfa051ea5c9fc
|
A382983
|
a(n) is the number of solutions to n = x*y in positive integers x <= y where x + y is prime.
|
[
"1",
"1",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"4",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"4",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"0",
"0",
"2"
] |
[
"nonn",
"easy"
] | 12 | 1 | 6 |
[
"A000040",
"A004526",
"A038548",
"A382983",
"A382984",
"A382985"
] | null |
Felix Huber, Apr 14 2025
| 2025-04-19T17:49:29 |
oeisdata/seq/A382/A382983.seq
|
adce7b9f05bb54cb919f32bb3a73e93b
|
A382984
|
Coefficient of x^3 in expansion of (x+1) * (x+4) * ... * (x+3*n-2).
|
[
"0",
"0",
"0",
"1",
"22",
"445",
"9605",
"227969",
"5974388",
"172323696",
"5441287980",
"187011672276",
"6957458412520",
"278765196526024",
"11973706678705408",
"549052544309039744",
"26777325537157361024",
"1384271732837081576576",
"75622395021091990225152",
"4353640204459556218940160"
] |
[
"nonn"
] | 9 | 0 | 5 |
[
"A028340",
"A286718",
"A382984"
] | null |
Seiichi Manyama, Apr 20 2025
| 2025-04-20T08:40:48 |
oeisdata/seq/A382/A382984.seq
|
182f6eed0734242ce269fb6414b8112a
|
A382985
|
Coefficient of x^4 in expansion of (x+1) * (x+4) * ... * (x+3*n-2).
|
[
"0",
"0",
"0",
"0",
"1",
"35",
"1005",
"28700",
"859369",
"27458613",
"941164860",
"34617398640",
"1364003226036",
"57425577775852",
"2575788307560104",
"122732603903789880",
"6194752323883374224",
"330320189407442698000",
"18560921582024101872576",
"1096473082032417593216832"
] |
[
"nonn"
] | 9 | 0 | 6 |
[
"A028341",
"A286718",
"A382985"
] | null |
Seiichi Manyama, Apr 20 2025
| 2025-04-20T08:40:44 |
oeisdata/seq/A382/A382985.seq
|
03c567adee06ea9977da6a7d5a7f0e9f
|
A382986
|
a(n) is the number of iterations that n requires to reach 0 under the map k -> b(k) where b(k) = k+1 if k is even, and b(k) = k-gpf(k) if k is odd, where gpf(k) is the greatest prime dividing k.
|
[
"0",
"1",
"2",
"1",
"2",
"1",
"2",
"1",
"4",
"3",
"2",
"1",
"2",
"1",
"4",
"3",
"2",
"1",
"2",
"1",
"6",
"5",
"2",
"1",
"8",
"7",
"10",
"9",
"2",
"1",
"2",
"1",
"4",
"3",
"4",
"3",
"2",
"1",
"12",
"11",
"2",
"1",
"2",
"1",
"4",
"3",
"2",
"1",
"4",
"3",
"6",
"5",
"2",
"1",
"6",
"5",
"14",
"13",
"2",
"1",
"2",
"1",
"16",
"15",
"4",
"3",
"2",
"1",
"4",
"3",
"2",
"1",
"2",
"1",
"4",
"3",
"4",
"3",
"2",
"1",
"4",
"3",
"2",
"1",
"6",
"5",
"4",
"3",
"2",
"1"
] |
[
"nonn",
"look"
] | 58 | 0 | 3 |
[
"A006530",
"A076563",
"A382986"
] | null |
Jakub Buczak, Apr 11 2025
| 2025-05-01T16:47:35 |
oeisdata/seq/A382/A382986.seq
|
9b04d5a7e5eb80f142a41bd406b8e509
|
A382987
|
a(n) is the total sum of the last symbol in all Catalan words of length n avoiding the pattern (>=,>=).
|
[
"0",
"0",
"1",
"4",
"12",
"34",
"94",
"258",
"707",
"1940",
"5337",
"14728",
"40777",
"113268",
"315627",
"882168",
"2472669",
"6949344",
"19579971",
"55296972",
"156511626",
"443902074",
"1261440936",
"3591153874",
"10240960381",
"29251149324",
"83675868455",
"239703961016",
"687596129964",
"1974890635522",
"5679036727894"
] |
[
"nonn"
] | 9 | 0 | 4 |
[
"A382987",
"A382988",
"A382989",
"A382990"
] | null |
Stefano Spezia, Apr 11 2025
| 2025-04-12T12:36:44 |
oeisdata/seq/A382/A382987.seq
|
23dce0dfaf86507c80d4571147bc41e6
|
A382988
|
a(n) is the total sum of semiperimeters over all (>=,>=)-polyominoes of length n.
|
[
"0",
"2",
"7",
"21",
"62",
"180",
"522",
"1512",
"4384",
"12726",
"36995",
"107701",
"313986",
"916604",
"2679159",
"7840125",
"22967784",
"67352334",
"197693325",
"580775223",
"1707553410",
"5024194308",
"14793209508",
"43585511382",
"128495325672",
"379036691250",
"1118687153077",
"3303357347907",
"9759086504006",
"28844148674092"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A382987",
"A382988",
"A382989",
"A382990"
] | null |
Stefano Spezia, Apr 11 2025
| 2025-04-12T12:37:15 |
oeisdata/seq/A382/A382988.seq
|
9c43785492d87ef00504899c86276c79
|
A382989
|
a(n) is the total sum of area over all (>=,>=)-polyominoes of length n.
|
[
"0",
"1",
"5",
"19",
"66",
"218",
"701",
"2215",
"6919",
"21438",
"66034",
"202502",
"618892",
"1886433",
"5737755",
"17421735",
"52823013",
"159970938",
"483979572",
"1463006976",
"4419285573",
"13340964849",
"40252007970",
"121389925346",
"365929470596",
"1102688346763",
"3321748158985",
"10003556543907",
"30118208180650"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A002426",
"A382987",
"A382988",
"A382989",
"A382990"
] | null |
Stefano Spezia, Apr 11 2025
| 2025-04-12T12:37:31 |
oeisdata/seq/A382/A382989.seq
|
b39f8139744d382a923b8907d2b88440
|
A382990
|
a(n) is the total number of interior points of over all (>=,>=)-polyominoes of length n.
|
[
"0",
"0",
"0",
"2",
"13",
"59",
"230",
"830",
"2858",
"9547",
"31227",
"100599",
"320417",
"1011664",
"3172230",
"9892182",
"30708696",
"94975383",
"292822629",
"900431037",
"2762584182",
"8459318100",
"25859561685",
"78934174379",
"240626872721",
"732695058014",
"2228730824384",
"6773206968802",
"20567144954853",
"62406771069411"
] |
[
"nonn"
] | 12 | 0 | 4 |
[
"A002426",
"A382987",
"A382988",
"A382989",
"A382990"
] | null |
Stefano Spezia, Apr 11 2025
| 2025-04-12T12:37:41 |
oeisdata/seq/A382/A382990.seq
|
6de41128f61d80927a654f3c3e57b545
|
A382991
|
Number of compositions of n such that any part 1 at position k can be k different colors.
|
[
"1",
"1",
"3",
"10",
"40",
"193",
"1110",
"7473",
"57821",
"505945",
"4940354",
"53248874",
"627848885",
"8037734930",
"111017325473",
"1645384681765",
"26044845197881",
"438499277779636",
"7824114643731522",
"147476551001255125",
"2928074880767254238",
"61078483577649288463",
"1335438738400978511877"
] |
[
"nonn",
"easy"
] | 14 | 0 | 3 |
[
"A008275",
"A011782",
"A088305",
"A238351",
"A240736",
"A382991",
"A382992"
] | null |
John Tyler Rascoe, Apr 11 2025
| 2025-04-24T08:01:52 |
oeisdata/seq/A382/A382991.seq
|
1ef9e4f8076e42415735ae6be5c60e76
|
A382992
|
Number of compositions of n that have at least 1 part equal to 1 and any part 1 at position k can be k different colors.
|
[
"0",
"1",
"2",
"9",
"38",
"190",
"1105",
"7465",
"57808",
"505924",
"4940320",
"53248819",
"627848796",
"8037734786",
"111017325240",
"1645384681388",
"26044845197271",
"438499277778649",
"7824114643729925",
"147476551001252541",
"2928074880767250057",
"61078483577649281698",
"1335438738400978500931"
] |
[
"nonn",
"easy"
] | 22 | 0 | 3 |
[
"A000045",
"A008275",
"A011782",
"A088305",
"A238351",
"A240736",
"A382991",
"A382992"
] | null |
John Tyler Rascoe, Apr 11 2025
| 2025-04-24T07:59:22 |
oeisdata/seq/A382/A382992.seq
|
fc631e4b6ae03df40a386659f8d62bc8
|
A382993
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -(1/n) * Sum_{d|n} phi(n/d) * (-k)^d.
|
[
"1",
"2",
"0",
"3",
"-1",
"1",
"4",
"-3",
"4",
"0",
"5",
"-6",
"11",
"-4",
"1",
"6",
"-10",
"24",
"-21",
"8",
"0",
"7",
"-15",
"45",
"-66",
"51",
"-10",
"1",
"8",
"-21",
"76",
"-160",
"208",
"-119",
"20",
"0",
"9",
"-28",
"119",
"-330",
"629",
"-676",
"315",
"-34",
"1",
"10",
"-36",
"176",
"-609",
"1560",
"-2590",
"2344",
"-831",
"60",
"0",
"11",
"-45",
"249",
"-1036",
"3367",
"-7750",
"11165",
"-8226",
"2195",
"-100",
"1"
] |
[
"sign",
"tabl"
] | 19 | 1 | 2 |
[
"A000010",
"A000035",
"A074763",
"A075195",
"A286957",
"A343465",
"A343466",
"A343467",
"A382993",
"A382994",
"A382998",
"A383011"
] | null |
Seiichi Manyama, Apr 11 2025
| 2025-04-12T11:21:34 |
oeisdata/seq/A382/A382993.seq
|
6706af5cb27ba991eae899ffaa26979c
|
A382994
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -Sum_{d|n} phi(n/d) * (-k)^d.
|
[
"1",
"2",
"0",
"3",
"-2",
"3",
"4",
"-6",
"12",
"0",
"5",
"-12",
"33",
"-16",
"5",
"6",
"-20",
"72",
"-84",
"40",
"0",
"7",
"-30",
"135",
"-264",
"255",
"-60",
"7",
"8",
"-42",
"228",
"-640",
"1040",
"-714",
"140",
"0",
"9",
"-56",
"357",
"-1320",
"3145",
"-4056",
"2205",
"-272",
"9",
"10",
"-72",
"528",
"-2436",
"7800",
"-15540",
"16408",
"-6648",
"540",
"0"
] |
[
"sign",
"tabl"
] | 15 | 1 | 2 |
[
"A000010",
"A185651",
"A382993",
"A382994",
"A382995",
"A382997"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T11:21:18 |
oeisdata/seq/A382/A382994.seq
|
67348ba940f0e79def3df92a9461f4f4
|
A382995
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = Sum_{d|n} phi(n/d) * (-k)^(d-1).
|
[
"1",
"1",
"0",
"1",
"-1",
"3",
"1",
"-2",
"6",
"0",
"1",
"-3",
"11",
"-8",
"5",
"1",
"-4",
"18",
"-28",
"20",
"0",
"1",
"-5",
"27",
"-66",
"85",
"-30",
"7",
"1",
"-6",
"38",
"-128",
"260",
"-238",
"70",
"0",
"1",
"-7",
"51",
"-220",
"629",
"-1014",
"735",
"-136",
"9",
"1",
"-8",
"66",
"-348",
"1300",
"-3108",
"4102",
"-2216",
"270",
"0",
"1",
"-9",
"83",
"-518",
"2405",
"-7750",
"15631",
"-16452",
"6585",
"-500",
"11"
] |
[
"sign",
"tabl"
] | 15 | 1 | 6 |
[
"A000010",
"A193356",
"A343489",
"A382994",
"A382995",
"A382998",
"A382999",
"A383000"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:49:37 |
oeisdata/seq/A382/A382995.seq
|
21a93fa133b937aef40a07ce2053ad53
|
A382996
|
a(n) is the least number k such that both k and k + s have n prime divisors, counted with multiplicity, where s is the sum of the decimal digits of k.
|
[
"11",
"15",
"18",
"81",
"243",
"486",
"2976",
"25488",
"128768",
"396864",
"911232",
"8820864",
"69940224",
"118462464",
"1171768320",
"1756943946",
"11753349120",
"272313556992",
"491737042890",
"2374758457344",
"9766784434176",
"22675979501496",
"269744252387328",
"1546075329527736",
"6138628058382336"
] |
[
"nonn",
"base",
"hard"
] | 43 | 1 | 1 |
[
"A001222",
"A007953",
"A062028",
"A381851",
"A382996",
"A383665"
] | null |
Robert Israel, May 06 2025
| 2025-05-29T00:54:14 |
oeisdata/seq/A382/A382996.seq
|
d280940cba460891d70c62588c72b541
|
A382997
|
a(n) = -Sum_{d|n} phi(n/d) * (-n)^d.
|
[
"1",
"-2",
"33",
"-264",
"3145",
"-46500",
"823585",
"-16781408",
"387422001",
"-9999900360",
"285311670721",
"-8916103472496",
"302875106592409",
"-11112006720145604",
"437893890382391745",
"-18446744078004650880",
"827240261886336764449",
"-39346408075098246299676",
"1978419655660313589124321"
] |
[
"sign"
] | 8 | 1 | 2 |
[
"A000010",
"A382994",
"A382997",
"A383010"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:37:29 |
oeisdata/seq/A382/A382997.seq
|
202ff978d7e6a4785c6d3ba1581940c9
|
A382998
|
a(n) = Sum_{d|n} phi(n/d) * (-n)^(d-1).
|
[
"1",
"-1",
"11",
"-66",
"629",
"-7750",
"117655",
"-2097676",
"43046889",
"-999990036",
"25937424611",
"-743008622708",
"23298085122493",
"-793714765724686",
"29192926025492783",
"-1152921504875290680",
"48661191875666868497",
"-2185911559727680349982",
"104127350297911241532859"
] |
[
"sign"
] | 12 | 1 | 3 |
[
"A000010",
"A382993",
"A382995",
"A382997",
"A382998",
"A383003"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:37:34 |
oeisdata/seq/A382/A382998.seq
|
2e00e07275062b5f7843e751b9b3fe6c
|
A382999
|
a(n) = Sum_{d|n} phi(n/d) * (-2)^(d-1).
|
[
"1",
"-1",
"6",
"-8",
"20",
"-30",
"70",
"-136",
"270",
"-500",
"1034",
"-2088",
"4108",
"-8134",
"16440",
"-32912",
"65552",
"-130878",
"262162",
"-524800",
"1048740",
"-2096138",
"4194326",
"-8390976",
"16777300",
"-33550348",
"67109418",
"-134225840",
"268435484",
"-536855640",
"1073741854",
"-2147516704",
"4294969404"
] |
[
"sign"
] | 11 | 1 | 3 |
[
"A000010",
"A034738",
"A074763",
"A382995",
"A382999"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T11:21:14 |
oeisdata/seq/A382/A382999.seq
|
a6814bc4decb10f52bcfbaa572ebf98d
|
A383000
|
a(n) = Sum_{d|n} phi(n/d) * (-3)^(d-1).
|
[
"1",
"-2",
"11",
"-28",
"85",
"-238",
"735",
"-2216",
"6585",
"-19610",
"59059",
"-177428",
"531453",
"-1593606",
"4783175",
"-14351152",
"43046737",
"-129134082",
"387420507",
"-1162281100",
"3486785925",
"-10460294174",
"31381059631",
"-94143360856",
"282429536825",
"-847288078026",
"2541865841523",
"-7625599078020",
"22876792454989"
] |
[
"sign"
] | 10 | 1 | 2 |
[
"A000010",
"A034754",
"A343465",
"A382995",
"A383000"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T11:21:39 |
oeisdata/seq/A383/A383000.seq
|
815d60e7c953b0a99aaa5bd021007b0e
|
A383001
|
Smallest number with shortest addition-multiplication chain of length n.
|
[
"1",
"2",
"3",
"5",
"7",
"13",
"23",
"59",
"211",
"619",
"4282",
"25819"
] |
[
"nonn",
"nice",
"hard",
"more"
] | 12 | 0 | 2 |
[
"A003064",
"A230697",
"A383001",
"A383002"
] | null |
Pontus von Brömssen, Apr 12 2025
| 2025-05-02T12:12:02 |
oeisdata/seq/A383/A383001.seq
|
959b8d2d1182962fb1650232fa2ed497
|
A383002
|
Number of integers with a shortest addition-multiplication chain of length n.
|
[
"1",
"1",
"2",
"5",
"16",
"63",
"331",
"2239",
"19909",
"225615",
"3167570"
] |
[
"nonn",
"hard",
"more"
] | 10 | 0 | 3 |
[
"A003065",
"A230697",
"A383001",
"A383002"
] | null |
Pontus von Brömssen, Apr 12 2025
| 2025-05-02T12:11:41 |
oeisdata/seq/A383/A383002.seq
|
966af1f1a0b21cabe2efe8d97a1c2abe
|
A383003
|
a(n) = Sum_{d|n} (-n)^(d-1).
|
[
"1",
"-1",
"10",
"-67",
"626",
"-7745",
"117650",
"-2097671",
"43046803",
"-999990009",
"25937424602",
"-743008621115",
"23298085122482",
"-793714765724621",
"29192926025441476",
"-1152921504875286543",
"48661191875666868482",
"-2185911559727678460653",
"104127350297911241532842"
] |
[
"sign",
"easy"
] | 12 | 1 | 3 |
[
"A101561",
"A101562",
"A101563",
"A262843",
"A308814",
"A382998",
"A383003",
"A383010",
"A383012"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:37:38 |
oeisdata/seq/A383/A383003.seq
|
846e1f4486bfe11ea672aa61527455d7
|
A383004
|
Exponent of the highest power of 2 dividing the n-th cubefree number.
|
[
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1"
] |
[
"nonn",
"easy"
] | 9 | 1 | 4 |
[
"A004709",
"A007814",
"A373550",
"A383004",
"A383005",
"A383009"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:42:24 |
oeisdata/seq/A383/A383004.seq
|
58c08f7265d6fb28bbfe520bc41d1d22
|
A383005
|
Exponent of the highest power of 2 dividing the n-th biquadratefree number.
|
[
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"2",
"0"
] |
[
"nonn",
"easy"
] | 7 | 1 | 4 |
[
"A007814",
"A046100",
"A254990",
"A373550",
"A383004",
"A383005"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:41:35 |
oeisdata/seq/A383/A383005.seq
|
e770bb2df697cfa0d96ada9d03fbd1c0
|
A383006
|
Exponent of the highest power of 2 dividing the n-th powerful number.
|
[
"0",
"2",
"3",
"0",
"4",
"0",
"0",
"5",
"2",
"0",
"6",
"3",
"0",
"2",
"2",
"0",
"0",
"7",
"4",
"0",
"2",
"3",
"3",
"0",
"0",
"8",
"5",
"0",
"2",
"0",
"0",
"3",
"4",
"4",
"0",
"2",
"2",
"9",
"0",
"6",
"0",
"3",
"0",
"2",
"0",
"4",
"5",
"0",
"5",
"2",
"0",
"3",
"2",
"3",
"10",
"0",
"0",
"7",
"2",
"0",
"4",
"0",
"0",
"3",
"0",
"2",
"2",
"0",
"5",
"6",
"0",
"6",
"2",
"3",
"0",
"4",
"3",
"4",
"0",
"11",
"2",
"0",
"0",
"0",
"8",
"3",
"0"
] |
[
"nonn",
"easy"
] | 7 | 1 | 2 |
[
"A001694",
"A007814",
"A363189",
"A373549",
"A383006",
"A383007"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:41:46 |
oeisdata/seq/A383/A383006.seq
|
d5f86173cae776d462d7733c5b7853f5
|
A383007
|
Exponent of the highest power of 2 dividing the n-th cubefull number.
|
[
"0",
"3",
"4",
"0",
"5",
"6",
"0",
"0",
"7",
"3",
"0",
"8",
"0",
"4",
"9",
"0",
"3",
"0",
"5",
"3",
"10",
"4",
"0",
"6",
"3",
"4",
"11",
"0",
"0",
"0",
"5",
"3",
"0",
"0",
"7",
"4",
"5",
"12",
"0",
"3",
"6",
"4",
"3",
"0",
"0",
"8",
"5",
"6",
"13",
"0",
"4",
"0",
"7",
"3",
"5",
"4",
"0",
"9",
"0",
"6",
"0",
"7",
"14",
"0",
"0",
"3",
"3",
"3",
"0",
"5",
"8",
"4",
"6",
"5",
"0",
"3",
"3",
"10",
"0",
"0",
"0",
"0",
"7",
"8",
"15"
] |
[
"nonn",
"easy"
] | 8 | 1 | 2 |
[
"A007814",
"A036966",
"A383006",
"A383007"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:41:53 |
oeisdata/seq/A383/A383007.seq
|
a8e60f864a9cf376a7aeac225460407d
|
A383008
|
Indices of the even terms in the sequence of squarefree numbers.
|
[
"2",
"5",
"7",
"10",
"15",
"17",
"19",
"22",
"25",
"28",
"30",
"36",
"39",
"41",
"44",
"47",
"49",
"51",
"54",
"59",
"63",
"66",
"69",
"72",
"74",
"76",
"80",
"83",
"85",
"88",
"91",
"94",
"97",
"102",
"104",
"106",
"108",
"111",
"114",
"116",
"119",
"124",
"127",
"129",
"132",
"135",
"138",
"140",
"143",
"148",
"151",
"156",
"159",
"161",
"164",
"169",
"171",
"173",
"176",
"178"
] |
[
"nonn",
"easy"
] | 7 | 1 | 1 |
[
"A005117",
"A039956",
"A071403",
"A373550",
"A383008",
"A383009"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:41:59 |
oeisdata/seq/A383/A383008.seq
|
6a4c54b8be2e051a971f859520fb49e3
|
A383009
|
Indices of the even terms in the sequence of cubefree numbers.
|
[
"2",
"4",
"6",
"9",
"11",
"13",
"16",
"18",
"20",
"23",
"24",
"26",
"29",
"31",
"33",
"36",
"38",
"40",
"43",
"45",
"49",
"51",
"53",
"56",
"58",
"60",
"63",
"65",
"67",
"69",
"71",
"73",
"76",
"78",
"80",
"83",
"85",
"87",
"90",
"93",
"96",
"98",
"100",
"103",
"105",
"106",
"109",
"111",
"113",
"115",
"117",
"119",
"122",
"124",
"126",
"129",
"131",
"133",
"137",
"139",
"142",
"144"
] |
[
"nonn",
"easy"
] | 7 | 1 | 1 |
[
"A004709",
"A381822",
"A383004",
"A383008",
"A383009"
] | null |
Amiram Eldar, Apr 12 2025
| 2025-04-12T09:42:13 |
oeisdata/seq/A383/A383009.seq
|
6b12b60d91d084294fedcae97abd1956
|
A383010
|
a(n) = -Sum_{d|n} (-n)^d.
|
[
"1",
"-2",
"30",
"-268",
"3130",
"-46470",
"823550",
"-16781368",
"387421227",
"-9999900090",
"285311670622",
"-8916103453380",
"302875106592266",
"-11112006720144694",
"437893890381622140",
"-18446744078004584688",
"827240261886336764194",
"-39346408075098212291754",
"1978419655660313589123998"
] |
[
"sign",
"easy"
] | 8 | 1 | 2 |
[
"A066108",
"A383003",
"A383010"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:37:43 |
oeisdata/seq/A383/A383010.seq
|
f59c425dc9ed5d93f238389f14797b2f
|
A383011
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) = -(1/n) * Sum_{d|n} mu(n/d) * (-k)^d.
|
[
"1",
"2",
"-1",
"3",
"-3",
"0",
"4",
"-6",
"2",
"0",
"5",
"-10",
"8",
"-3",
"0",
"6",
"-15",
"20",
"-18",
"6",
"0",
"7",
"-21",
"40",
"-60",
"48",
"-11",
"0",
"8",
"-28",
"70",
"-150",
"204",
"-124",
"18",
"0",
"9",
"-36",
"112",
"-315",
"624",
"-690",
"312",
"-30",
"0",
"10",
"-45",
"168",
"-588",
"1554",
"-2620",
"2340",
"-810",
"56",
"0",
"11",
"-55",
"240",
"-1008",
"3360",
"-7805",
"11160",
"-8160",
"2184",
"-105",
"0"
] |
[
"sign",
"tabl"
] | 15 | 1 | 2 |
[
"A008683",
"A038063",
"A038064",
"A038065",
"A038066",
"A074650",
"A154955",
"A383011",
"A383012"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:41:40 |
oeisdata/seq/A383/A383011.seq
|
2d149b5b11520c773f9cc9e749a8a9ab
|
A383012
|
a(n) = Sum_{d|n} mu(n/d) * (-n)^(d-1).
|
[
"1",
"-3",
"8",
"-60",
"624",
"-7805",
"117648",
"-2096640",
"43046640",
"-1000009989",
"25937424600",
"-743008120140",
"23298085122480",
"-793714780783665",
"29192926025339776",
"-1152921504338411520",
"48661191875666868480",
"-2185911559749714602652",
"104127350297911241532840"
] |
[
"sign"
] | 11 | 1 | 2 |
[
"A008683",
"A075147",
"A382998",
"A383003",
"A383011",
"A383012"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-12T09:37:48 |
oeisdata/seq/A383/A383012.seq
|
ef9dd504f849ac3c40c86b1457ec3796
|
A383013
|
Number of integer partitions of n having a permutation with all equal run-lengths.
|
[
"1",
"1",
"2",
"3",
"5",
"6",
"9",
"11",
"18",
"21",
"31",
"38",
"56",
"67",
"94",
"121",
"162",
"199",
"265",
"330",
"438",
"543",
"693",
"859",
"1103",
"1353",
"1702",
"2097",
"2619",
"3194",
"3972",
"4821",
"5943",
"7206",
"8796",
"10632",
"12938",
"15536",
"18794",
"22539",
"27133",
"32374",
"38827",
"46175",
"55134",
"65421",
"77751",
"91951",
"109011",
"128482"
] |
[
"nonn"
] | 17 | 0 | 3 |
[
"A000009",
"A000041",
"A003242",
"A047966",
"A164707",
"A238279",
"A239455",
"A304442",
"A329738",
"A329739",
"A351201",
"A351290",
"A351291",
"A351293",
"A351294",
"A351295",
"A351596",
"A353744",
"A353833",
"A353837",
"A353851",
"A382857",
"A382858",
"A382878",
"A382879",
"A382914",
"A382915",
"A383013"
] | null |
Gus Wiseman, Apr 12 2025
| 2025-04-27T15:04:34 |
oeisdata/seq/A383/A383013.seq
|
4facff270a148bc45e53b7c8a8363e87
|
A383014
|
Numbers whose prime indices can be partitioned into constant blocks with a common sum.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"12",
"13",
"16",
"17",
"19",
"23",
"25",
"27",
"29",
"31",
"32",
"36",
"37",
"40",
"41",
"43",
"47",
"48",
"49",
"53",
"59",
"61",
"63",
"64",
"67",
"71",
"73",
"79",
"81",
"83",
"89",
"97",
"101",
"103",
"107",
"108",
"109",
"112",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"144",
"149",
"151",
"157",
"163",
"167",
"169"
] |
[
"nonn"
] | 8 | 1 | 2 |
[
"A000688",
"A000720",
"A000961",
"A001055",
"A001222",
"A006171",
"A045778",
"A050361",
"A055396",
"A056239",
"A061395",
"A112798",
"A279784",
"A279789",
"A295935",
"A300383",
"A317141",
"A321469",
"A353833",
"A381453",
"A381455",
"A381635",
"A381636",
"A381715",
"A381716",
"A381717",
"A381719",
"A381806",
"A381871",
"A381993",
"A381995",
"A383014",
"A383093"
] | null |
Gus Wiseman, Apr 22 2025
| 2025-04-25T08:46:52 |
oeisdata/seq/A383/A383014.seq
|
f66128941020895470b2ee5d7efa06ff
|
A383015
|
Numbers whose prime indices have more than one permutation with all equal run-sums.
|
[
"12",
"40",
"63",
"112",
"144",
"325",
"351",
"352",
"675",
"832",
"931",
"1008",
"1539",
"1600",
"1728",
"2176",
"2875",
"3509",
"3969",
"4864",
"6253",
"7047",
"7056",
"8775",
"9072",
"11776",
"12427",
"12544",
"12691",
"16128",
"19133",
"20736",
"20800",
"22464",
"23125",
"26973",
"29403",
"29696",
"32269",
"43200",
"49392",
"57967",
"59711"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A000720",
"A000961",
"A001221",
"A001222",
"A044813",
"A056239",
"A112798",
"A304442",
"A329738",
"A329739",
"A351596",
"A353832",
"A353833",
"A353837",
"A353838",
"A353847",
"A353848",
"A353851",
"A353932",
"A354584",
"A381636",
"A381871",
"A382076",
"A382857",
"A382876",
"A382877",
"A382879",
"A383014",
"A383015",
"A383089",
"A383090",
"A383091",
"A383092",
"A383097",
"A383100"
] | null |
Gus Wiseman, Apr 14 2025
| 2025-04-17T23:21:03 |
oeisdata/seq/A383/A383015.seq
|
fef334355a3fd2665d8df4163adef983
|
A383016
|
Numbers k such that A382883(k) = 1.
|
[
"1",
"4",
"6",
"8",
"9",
"10",
"14",
"15",
"21",
"22",
"25",
"26",
"27",
"32",
"33",
"34",
"35",
"38",
"39",
"46",
"49",
"51",
"55",
"57",
"58",
"62",
"65",
"69",
"74",
"77",
"82",
"85",
"86",
"87",
"91",
"93",
"94",
"95",
"106",
"111",
"115",
"118",
"119",
"121",
"122",
"123",
"125",
"128",
"129",
"133",
"134",
"141",
"142",
"143",
"145",
"146",
"155",
"158",
"159",
"161",
"166"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A053810",
"A162143",
"A382883",
"A382943",
"A383016",
"A383017"
] | null |
Peter Luschny, Apr 12 2025
| 2025-04-29T16:53:10 |
oeisdata/seq/A383/A383016.seq
|
2286e88af8ed66438e641d170f44c4dc
|
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