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
|
---|---|---|---|---|---|---|---|---|---|---|---|---|
A383017
|
Numbers k such that A382883(k) = -1.
|
[
"2",
"3",
"5",
"7",
"11",
"13",
"17",
"19",
"23",
"29",
"30",
"31",
"36",
"37",
"41",
"42",
"43",
"47",
"53",
"59",
"61",
"64",
"66",
"67",
"70",
"71",
"73",
"78",
"79",
"83",
"89",
"97",
"100",
"101",
"102",
"103",
"105",
"107",
"109",
"110",
"113",
"114",
"127",
"130",
"131",
"137",
"138",
"139",
"149",
"151",
"154",
"157",
"163",
"165",
"167",
"170",
"173",
"174",
"179"
] |
[
"nonn"
] | 11 | 1 | 1 |
[
"A000040",
"A325264",
"A382883",
"A382943",
"A383016",
"A383017"
] | null |
Peter Luschny, Apr 12 2025
| 2025-04-29T16:52:34 |
oeisdata/seq/A383/A383017.seq
|
a080f2e67afc4284fde49b07196ea40a
|
A383018
|
Numbers k such that A008683(k) = 0 and A382883(k) = -1.
|
[
"36",
"64",
"100",
"196",
"216",
"225",
"441",
"484",
"676",
"729",
"1000",
"1024",
"1089",
"1156",
"1225",
"1444",
"1521",
"2116",
"2601",
"2744",
"3025",
"3249",
"3364",
"3375",
"3844",
"4225",
"4761",
"5476",
"5929",
"6724",
"7225",
"7396",
"7569",
"7776",
"8281",
"8649",
"8836",
"9025",
"9261",
"10648",
"11236",
"12321",
"13225",
"13924",
"14161"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A008683",
"A303606",
"A382883",
"A383018",
"A383105"
] | null |
Peter Luschny, Apr 14 2025
| 2025-04-29T16:52:29 |
oeisdata/seq/A383/A383018.seq
|
8e7253a4868be455f02ea1f196c7f109
|
A383019
|
Triangle T(n,k) read by rows (n >= 0, k >= 0) with g.f. 1/(1 - f(0)*x - x*y/(1 - f(1)*x - x*y/(1 - f(2)*x - x*y/(1 - f(3)*x - x*y/(1 - f(4)*x - x*y/(1 - ...)))))) where f(n) = n + 1 for n >= 0.
|
[
"1",
"1",
"1",
"1",
"4",
"2",
"1",
"11",
"16",
"5",
"1",
"26",
"80",
"64",
"14",
"1",
"57",
"324",
"490",
"256",
"42",
"1",
"120",
"1170",
"2944",
"2730",
"1024",
"132",
"1",
"247",
"3948",
"15403",
"22400",
"14322",
"4096",
"429",
"1",
"502",
"12776",
"73960",
"157564",
"152064",
"72072",
"16384",
"1430",
"1",
"1013",
"40264",
"335856",
"1004400",
"1368796",
"953344",
"351780",
"65536",
"4862"
] |
[
"nonn",
"tabl"
] | 27 | 0 | 5 |
[
"A302285",
"A383019"
] | null |
Mikhail Kurkov, Apr 12 2025
| 2025-04-20T10:58:25 |
oeisdata/seq/A383/A383019.seq
|
16b7665483a9d0b1582571a5cb9a94e8
|
A383020
|
G(n) is a graph constructed with nodes labelled with integers n through n+a(n). Edges are drawn between consecutive integers and between integers sharing the same largest prime factor. a(n) is the smallest integer for which G(n) is not planar.
|
[
"8",
"7",
"10",
"10",
"12",
"11",
"12",
"12",
"11",
"14",
"13",
"12",
"11",
"13",
"12",
"11",
"10",
"14",
"13",
"15",
"17",
"16",
"15",
"17",
"16",
"15",
"16",
"19",
"18",
"18",
"17",
"16",
"16",
"15",
"14",
"17",
"16",
"15",
"15",
"14",
"13",
"13",
"12",
"15",
"19",
"18",
"17",
"16",
"18",
"19",
"20",
"22",
"21",
"22",
"21",
"23",
"23",
"22",
"21",
"24",
"23",
"22",
"24",
"23",
"24",
"23"
] |
[
"nonn"
] | 30 | 2 | 1 |
[
"A006530",
"A383020"
] | null |
Gordon Hamilton, Apr 20 2025
| 2025-04-22T08:03:56 |
oeisdata/seq/A383/A383020.seq
|
ead7b5e21c316f02566027796e145041
|
A383021
|
Self-summable Fibonacci numbers: integers k such that Fibonacci(k) divides the sum of the first Fibonacci(k) nonzero Fibonacci numbers.
|
[
"1",
"2",
"3",
"12",
"24",
"34",
"36",
"46",
"48",
"60",
"68",
"72",
"92",
"94",
"96",
"106",
"108",
"120",
"144",
"166",
"168",
"180",
"188",
"192",
"212",
"214",
"216",
"226",
"240",
"274",
"288",
"300",
"324",
"332",
"334",
"336",
"346",
"360",
"384",
"394",
"428",
"432",
"452",
"454",
"466",
"480",
"504",
"514",
"526",
"540",
"548",
"552",
"576",
"586",
"600",
"612"
] |
[
"nonn"
] | 50 | 1 | 2 |
[
"A000045",
"A124456",
"A158569",
"A331976",
"A381053",
"A383021"
] | null |
Oisín Flynn-Connolly, Apr 12 2025
| 2025-05-03T23:44:18 |
oeisdata/seq/A383/A383021.seq
|
54359b5d881a4b55bea980a6d2c77ec9
|
A383022
|
Number of minimum total dominating set in the n-Sierpinski gasket graph.
|
[
"3",
"3",
"9",
"12915",
"58423194",
"1602053751767040",
"81449947165259499118076161269724421622375383040"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A306189",
"A347484",
"A383022"
] | null |
Eric W. Weisstein, Apr 12 2025
| 2025-06-10T01:13:23 |
oeisdata/seq/A383/A383022.seq
|
399715467a284431982ee3772e533100
|
A383023
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Weigh transform of j-> k^j.
|
[
"1",
"2",
"1",
"3",
"3",
"0",
"4",
"6",
"2",
"1",
"5",
"10",
"8",
"6",
"0",
"6",
"15",
"20",
"24",
"6",
"0",
"7",
"21",
"40",
"70",
"48",
"11",
"0",
"8",
"28",
"70",
"165",
"204",
"124",
"18",
"1",
"9",
"36",
"112",
"336",
"624",
"690",
"312",
"36",
"0",
"10",
"45",
"168",
"616",
"1554",
"2620",
"2340",
"834",
"56",
"0",
"11",
"55",
"240",
"1044",
"3360",
"7805",
"11160",
"8230",
"2184",
"105",
"0"
] |
[
"nonn",
"tabl"
] | 14 | 1 | 2 |
[
"A074650",
"A209229",
"A306156",
"A306157",
"A306158",
"A306159",
"A383023"
] | null |
Seiichi Manyama, Apr 12 2025
| 2025-04-13T08:19:10 |
oeisdata/seq/A383/A383023.seq
|
9cc61e3cab636ea93a24fccd45c4fc45
|
A383024
|
a(n) = floor(1/(1-s(n))) where s(n) = Sum_{k=1..n} phi(k)/k * log(2^k/(2^k-1)). phi(k) is the Euler totient function A000010(k).
|
[
"3",
"6",
"13",
"23",
"61",
"90",
"229",
"417",
"917",
"1429",
"3916",
"5748",
"16323",
"28489",
"53121",
"89322",
"249079",
"364536",
"1068096",
"1802530",
"3542367",
"5749605",
"16694858",
"24980973",
"61771834",
"107398135",
"230197552",
"363961698",
"1053601058",
"1426995284",
"3997869809",
"7478431118"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A000010",
"A383024"
] | null |
Yifan Xie, Apr 13 2025
| 2025-04-18T21:25:29 |
oeisdata/seq/A383/A383024.seq
|
3324ae5b08b0bca5a221746fbd074cc0
|
A383025
|
Centered pentagonal numbers that are deficient.
|
[
"1",
"16",
"31",
"51",
"76",
"106",
"141",
"181",
"226",
"331",
"391",
"526",
"601",
"681",
"766",
"856",
"951",
"1051",
"1156",
"1381",
"1501",
"1756",
"1891",
"2031",
"2326",
"2481",
"2641",
"2806",
"3151",
"3331",
"3706",
"3901",
"4101",
"4306",
"4516",
"4731",
"4951",
"5176",
"5641",
"5881",
"6376",
"6631",
"6891",
"7156",
"7426",
"7701",
"7981",
"8266",
"8851",
"9151",
"9766",
"10081",
"10401"
] |
[
"nonn"
] | 15 | 1 | 2 |
[
"A005100",
"A005891",
"A145838",
"A381488",
"A382696",
"A383025"
] | null |
Massimo Kofler, Apr 13 2025
| 2025-05-14T01:09:54 |
oeisdata/seq/A383/A383025.seq
|
9e498cbb26936b9e5c5acd6955ff9c16
|
A383026
|
Triangle T(n,k) read by rows whose n-th row is the lexicographically first n-tuple of ordered distinct positive integers with sum A382547(n) and product A382547(n) * 100^(n-1), or an n-tuple of zeros when A382547(n) = 0.
|
[
"1",
"180",
"225",
"150",
"175",
"200",
"125",
"160",
"175",
"184",
"125",
"127",
"150",
"160",
"200",
"100",
"125",
"140",
"150",
"175",
"192",
"80",
"100",
"125",
"150",
"160",
"173",
"250",
"80",
"100",
"110",
"125",
"140",
"150",
"200",
"250",
"50",
"100",
"112",
"125",
"150",
"155",
"160",
"200",
"250",
"50",
"80",
"100",
"125",
"128",
"150",
"170",
"175",
"200",
"250"
] |
[
"nonn",
"fini",
"tabl"
] | 18 | 1 | 2 |
[
"A380887",
"A381187",
"A382547",
"A383026"
] | null |
Markus Sigg, Apr 13 2025
| 2025-06-20T04:54:24 |
oeisdata/seq/A383/A383026.seq
|
1f0257c5188fc101030964db6fca2ac6
|
A383027
|
a(n) is the number whose reversed n-digit square is the largest among all reversals of n-digit squares.
|
[
"3",
"7",
"17",
"83",
"167",
"583",
"1833",
"8167",
"10583",
"41833",
"191833",
"489417",
"1989417",
"9958167",
"25041833",
"74958167",
"125041833",
"831989417",
"1625041833",
"9874958167",
"15831989417",
"65831989417",
"309874958167",
"834168010583",
"1809874958167",
"6809874958167",
"29165831989417",
"51809874958167",
"179165831989417"
] |
[
"nonn",
"base",
"easy"
] | 12 | 1 | 1 |
[
"A002942",
"A383027"
] | null |
Zhining Yang, Apr 13 2025
| 2025-05-11T17:39:40 |
oeisdata/seq/A383/A383027.seq
|
fdac4e4fc209185fc4ad27fad8706227
|
A383028
|
Third center column of elementary triangular automaton rule 146, starting from a lone 1 cell.
|
[
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"1",
"1",
"0"
] |
[
"nonn"
] | 11 | 0 | null |
[
"A380173",
"A380668",
"A381735",
"A382971",
"A382972",
"A383028"
] | null |
Paul Cousin, Apr 13 2025
| 2025-05-14T09:06:30 |
oeisdata/seq/A383/A383028.seq
|
2e8be0ecc0b10f4cc67ffce3dd0f26a0
|
A383029
|
Exponent of the highest power of 2 dividing the n-th exponentially odd number.
|
[
"0",
"1",
"0",
"0",
"1",
"0",
"3",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"3",
"1",
"0",
"0",
"1",
"0",
"5",
"0",
"1",
"0",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"0",
"3",
"0",
"0",
"0",
"1",
"0",
"5",
"0",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"3",
"1"
] |
[
"nonn",
"easy"
] | 8 | 1 | 7 |
[
"A007814",
"A268335",
"A383029",
"A383030"
] | null |
Amiram Eldar, Apr 13 2025
| 2025-04-13T16:32:25 |
oeisdata/seq/A383/A383029.seq
|
6529a1e177c858df67d7f1f83d6f2b66
|
A383030
|
Indices of the even terms in the sequence of exponentially odd numbers.
|
[
"2",
"5",
"7",
"8",
"11",
"16",
"18",
"19",
"22",
"24",
"26",
"29",
"31",
"33",
"35",
"39",
"41",
"43",
"46",
"48",
"51",
"54",
"56",
"58",
"61",
"63",
"67",
"69",
"72",
"74",
"76",
"79",
"82",
"84",
"86",
"87",
"91",
"93",
"96",
"98",
"100",
"103",
"106",
"109",
"110",
"113",
"115",
"119",
"121",
"122",
"124",
"126",
"129",
"131",
"133",
"136",
"139",
"144",
"147",
"149",
"152"
] |
[
"nonn",
"easy"
] | 7 | 1 | 1 |
[
"A268335",
"A376218",
"A383029",
"A383030",
"A383031"
] | null |
Amiram Eldar, Apr 13 2025
| 2025-04-13T16:32:32 |
oeisdata/seq/A383/A383030.seq
|
8a2572096edf71f6e544530b121a9fdf
|
A383031
|
Indices of the squarefree terms in the sequence of exponentially odd numbers.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"28",
"29",
"30",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"40",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"64",
"65",
"66",
"67",
"68",
"70",
"71",
"72",
"73",
"75",
"76",
"77",
"78"
] |
[
"nonn",
"easy"
] | 6 | 1 | 2 |
[
"A005117",
"A059956",
"A065463",
"A268335",
"A383030",
"A383031"
] | null |
Amiram Eldar, Apr 13 2025
| 2025-04-13T16:32:37 |
oeisdata/seq/A383/A383031.seq
|
d71f883dcbb734e5ff25d694bc49d7fd
|
A383032
|
Exponent of the highest power of 2 dividing the n-th number that is either a square or twice a square.
|
[
"0",
"1",
"2",
"3",
"0",
"4",
"1",
"0",
"5",
"2",
"0",
"1",
"6",
"3",
"0",
"1",
"2",
"0",
"7",
"4",
"1",
"0",
"2",
"3",
"0",
"1",
"8",
"5",
"0",
"2",
"1",
"0",
"3",
"4",
"0",
"1",
"2",
"9",
"0",
"6",
"1",
"0",
"3",
"2",
"1",
"0",
"4",
"5",
"0",
"1",
"2",
"0",
"3",
"10",
"1",
"0",
"7",
"2",
"0",
"1",
"4",
"3",
"0",
"2",
"1",
"0",
"5",
"6",
"0",
"1",
"2",
"3",
"0",
"1",
"4",
"0",
"11",
"2",
"1",
"0",
"8",
"3",
"0",
"1",
"2",
"5",
"0"
] |
[
"nonn",
"easy"
] | 13 | 1 | 3 |
[
"A001521",
"A001954",
"A003151",
"A003152",
"A007814",
"A014176",
"A028982",
"A215247",
"A342280",
"A383032"
] | null |
Amiram Eldar, Apr 13 2025
| 2025-04-13T14:56:16 |
oeisdata/seq/A383/A383032.seq
|
048ca2f2716ece1508dedcb5322d2d2e
|
A383033
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Weigh transform of j-> k^(j-1).
|
[
"1",
"1",
"1",
"1",
"2",
"0",
"1",
"3",
"2",
"1",
"1",
"4",
"6",
"5",
"0",
"1",
"5",
"12",
"18",
"6",
"0",
"1",
"6",
"20",
"46",
"42",
"11",
"0",
"1",
"7",
"30",
"95",
"156",
"113",
"18",
"1",
"1",
"8",
"42",
"171",
"420",
"566",
"294",
"35",
"0",
"1",
"9",
"56",
"280",
"930",
"1930",
"2028",
"798",
"56",
"0",
"1",
"10",
"72",
"428",
"1806",
"5185",
"8820",
"7396",
"2128",
"105",
"0"
] |
[
"nonn",
"tabl"
] | 11 | 1 | 5 |
[
"A209229",
"A316073",
"A383023",
"A383033",
"A383034",
"A383035"
] | null |
Seiichi Manyama, Apr 13 2025
| 2025-04-13T11:41:12 |
oeisdata/seq/A383/A383033.seq
|
cd6e2a3a46e423490d0a2c459ff1a4ce
|
A383034
|
Inverse Weigh transform of 2^(n-1).
|
[
"1",
"2",
"2",
"5",
"6",
"11",
"18",
"35",
"56",
"105",
"186",
"346",
"630",
"1179",
"2182",
"4115",
"7710",
"14588",
"27594",
"52482",
"99858",
"190743",
"364722",
"699216",
"1342176",
"2581425",
"4971008",
"9587574",
"18512790",
"35792449",
"69273666",
"134219795",
"260300986",
"505294125",
"981706806",
"1908881548",
"3714566310"
] |
[
"nonn"
] | 16 | 1 | 2 |
[
"A000079",
"A209229",
"A306156",
"A383033",
"A383034"
] | null |
Seiichi Manyama, Apr 13 2025
| 2025-04-13T11:26:30 |
oeisdata/seq/A383/A383034.seq
|
19b880afbd11bd5284fab3d522822261
|
A383035
|
Inverse Weigh transform of 3^(n-1).
|
[
"1",
"3",
"6",
"18",
"42",
"113",
"294",
"798",
"2128",
"5823",
"15918",
"43998",
"122010",
"340617",
"954394",
"2686728",
"7588770",
"21509824",
"61144062",
"174289710",
"498012094",
"1426229109",
"4092816966",
"11767220068",
"33890202192",
"97761550215",
"282424564744",
"817018885362",
"2366546223930",
"6863002420335"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A306156",
"A306157",
"A383033",
"A383035"
] | null |
Seiichi Manyama, Apr 13 2025
| 2025-04-13T11:27:36 |
oeisdata/seq/A383/A383035.seq
|
288364e6eba991ac5018a3d04b32b1a4
|
A383036
|
The determinant of the matrix representing a totally anti-symmetric quasigroup of order 2*n+1.
|
[
"0",
"9",
"1250",
"352947",
"172186884",
"129687123005",
"139788510734886",
"204350482177734375",
"389289535005334947848",
"937146152681201173795569",
"2782184294469515486371964010",
"9986310782535957929474146174619",
"42632564145606011152267456054687500",
"213501642487388555901009081409220318757"
] |
[
"nonn",
"easy"
] | 51 | 0 | 2 |
[
"A005408",
"A081131",
"A375584",
"A383036"
] | null |
Darío Clavijo, May 21 2025
| 2025-05-28T09:18:26 |
oeisdata/seq/A383/A383036.seq
|
9a4b5bcbf14aa3287c0fe82ae04d607c
|
A383037
|
a(n) is the excess of composites over primes in the first n odd positive integers.
|
[
"0",
"-1",
"-2",
"-3",
"-2",
"-3",
"-4",
"-3",
"-4",
"-5",
"-4",
"-5",
"-4",
"-3",
"-4",
"-5",
"-4",
"-3",
"-4",
"-3",
"-4",
"-5",
"-4",
"-5",
"-4",
"-3",
"-4",
"-3",
"-2",
"-3",
"-4",
"-3",
"-2",
"-3",
"-2",
"-3",
"-4",
"-3",
"-2",
"-3",
"-2",
"-3",
"-2",
"-1",
"-2",
"-1",
"0",
"1",
"0",
"1",
"0",
"-1",
"0",
"-1",
"-2",
"-1",
"-2",
"-1",
"0",
"1",
"2",
"3",
"4",
"3",
"4",
"3",
"4",
"5",
"4",
"3",
"4"
] |
[
"sign",
"easy"
] | 10 | 1 | 3 |
[
"A000720",
"A005408",
"A065091",
"A071904",
"A072731",
"A097454",
"A118777",
"A210469",
"A383037"
] | null |
Felix Huber, Apr 19 2025
| 2025-04-24T13:24:18 |
oeisdata/seq/A383/A383037.seq
|
20a96c0e92a110b153ffbcc96a14dd82
|
A383038
|
Positive integers which can be expressed in the form b^r - b^s where b, r, and s are positive integers.
|
[
"2",
"4",
"6",
"8",
"12",
"14",
"16",
"18",
"20",
"24",
"28",
"30",
"32",
"42",
"48",
"54",
"56",
"60",
"62",
"64",
"72",
"78",
"90",
"96",
"100",
"110",
"112",
"120",
"124",
"126",
"128",
"132",
"156",
"162",
"180",
"182",
"192",
"210",
"216",
"224",
"234",
"240",
"248",
"252",
"254",
"256",
"272",
"294",
"306",
"336",
"342",
"380",
"384",
"420",
"448",
"462",
"480",
"486",
"496",
"500"
] |
[
"nonn"
] | 33 | 1 | 1 |
[
"A043569",
"A383038"
] | null |
Boas Bakker, Apr 13 2025
| 2025-05-24T11:14:13 |
oeisdata/seq/A383/A383038.seq
|
54e2fa83cb87aa1dd325ac3aef11afc0
|
A383039
|
Sum of the legs of the unique primitive Pythagorean triple (a,b,c) such that (a-b+c)/2 = A000032(n) and its long leg and hypotenuse are consecutive natural numbers.
|
[
"7",
"1",
"17",
"31",
"97",
"241",
"647",
"1681",
"4417",
"11551",
"30257",
"79201",
"207367",
"542881",
"1421297",
"3720991",
"9741697",
"25504081",
"66770567",
"174807601",
"457652257",
"1198149151",
"3136795217",
"8212236481",
"21499914247",
"56287506241",
"147362604497",
"385800307231",
"1010038317217",
"2644314644401",
"6922905616007"
] |
[
"nonn",
"easy"
] | 11 | 0 | 1 |
[
"A000032",
"A001254",
"A382379",
"A382409",
"A382410",
"A383039"
] | null |
Miguel-Ángel Pérez García-Ortega, Apr 13 2025
| 2025-04-22T15:42:05 |
oeisdata/seq/A383/A383039.seq
|
7f90b6ebfd510809ac099ae99c01200a
|
A383040
|
Number of king permutations on n elements avoiding the mesh pattern (12, {(0,1),(0,2),(1,0),(2,0)}).
|
[
"1",
"1",
"0",
"0",
"2",
"12",
"78",
"568",
"4674",
"42944",
"436314",
"4860020",
"58914870",
"772330276",
"10888803374",
"164310553184",
"2642525580218",
"45124440536632",
"815438318526482",
"15547317496485932",
"311912067538692126",
"6568399090178800988",
"144867849880285518694",
"3339550150164041194232",
"80315480372245746015970"
] |
[
"nonn",
"easy"
] | 25 | 0 | 5 |
[
"A002464",
"A382644",
"A382645",
"A382651",
"A383040"
] | null |
Dan Li, Apr 22 2025
| 2025-04-25T15:11:41 |
oeisdata/seq/A383/A383040.seq
|
da2d3a1228dcbda227ccd9be4903135c
|
A383041
|
Primes p such that for some y > 0, 2^y == 3^y == 2 (mod p).
|
[
"331",
"1210483",
"45661129",
"107889071",
"13220372117",
"452802040997",
"2381120538437",
"5836609770097",
"6196278645943",
"8322368214791"
] |
[
"nonn",
"more"
] | 22 | 1 | 1 | null | null |
Kevin Knight, Apr 13 2025
| 2025-05-26T00:10:55 |
oeisdata/seq/A383/A383041.seq
|
5ce6394f068b0f3b232fdc0dbaf64cdc
|
A383042
|
Square array A(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Euler transform of j-> k^(j-1).
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"2",
"2",
"0",
"1",
"3",
"6",
"3",
"0",
"1",
"4",
"12",
"15",
"6",
"0",
"1",
"5",
"20",
"42",
"42",
"9",
"0",
"1",
"6",
"30",
"90",
"156",
"107",
"18",
"0",
"1",
"7",
"42",
"165",
"420",
"554",
"294",
"30",
"0",
"1",
"8",
"56",
"273",
"930",
"1910",
"2028",
"780",
"56",
"0",
"1",
"9",
"72",
"420",
"1806",
"5155",
"8820",
"7350",
"2128",
"99",
"0"
] |
[
"nonn",
"tabl"
] | 18 | 1 | 8 |
[
"A000007",
"A008683",
"A059966",
"A065177",
"A065178",
"A065179",
"A065180",
"A074650",
"A306173",
"A383033",
"A383042"
] | null |
Seiichi Manyama, Apr 13 2025
| 2025-04-14T07:40:09 |
oeisdata/seq/A383/A383042.seq
|
59646f58298e06384751a13f741a5b77
|
A383043
|
Integers k such that d*2^k - 1 is prime for some proper divisor d of k.
|
[
"2",
"3",
"4",
"5",
"6",
"7",
"10",
"12",
"13",
"16",
"17",
"18",
"19",
"21",
"28",
"30",
"31",
"36",
"42",
"46",
"54",
"60",
"61",
"63",
"75",
"88",
"89",
"99",
"102",
"104",
"106",
"107",
"108",
"126",
"127",
"132",
"133",
"204",
"214",
"216",
"225",
"264",
"270",
"286",
"304",
"306",
"324",
"330",
"342",
"352",
"390",
"414",
"420",
"456",
"462",
"468"
] |
[
"nonn"
] | 21 | 1 | 1 |
[
"A000043",
"A002234",
"A032741",
"A382811",
"A383043"
] | null |
Juri-Stepan Gerasimov, Apr 19 2025
| 2025-05-01T21:52:20 |
oeisdata/seq/A383/A383043.seq
|
21f22390cda09a2ef03944dbe16f2779
|
A383044
|
Numbers m such that phi(m) + phi(m+phi(m)) = m where phi is the Euler totient function.
|
[
"4",
"6",
"8",
"10",
"12",
"14",
"16",
"20",
"24",
"28",
"32",
"40",
"48",
"56",
"64",
"70",
"80",
"94",
"96",
"112",
"128",
"140",
"160",
"188",
"192",
"224",
"256",
"280",
"320",
"376",
"384",
"448",
"512",
"560",
"640",
"752",
"768",
"896",
"1024",
"1120",
"1280",
"1504",
"1536",
"1792",
"2048",
"2240",
"2560",
"3008",
"3072",
"3584",
"4096",
"4480",
"5120",
"6016",
"6144",
"7168",
"8192",
"8960"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A000010",
"A121048",
"A383044"
] | null |
Michel Marcus, Apr 14 2025
| 2025-05-11T18:39:00 |
oeisdata/seq/A383/A383044.seq
|
6ef4c19b01c8ad50a21e5bcabff14c74
|
A383045
|
Integers k for which the sum of digits of Fibonacci(k) is a Fibonacci number.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"13",
"28",
"33",
"49",
"85",
"94",
"107",
"286",
"299",
"366",
"421",
"422",
"443",
"657",
"2807",
"4483",
"4531",
"18694",
"49140",
"79033",
"79850",
"80290",
"128306",
"129049",
"129618",
"208245",
"338888",
"546571",
"882766",
"883822",
"886342"
] |
[
"nonn",
"base",
"more",
"changed"
] | 17 | 1 | 3 |
[
"A000045",
"A004090",
"A020995",
"A067515",
"A178837",
"A382053",
"A383045"
] | null |
Michel Marcus, Apr 14 2025
| 2025-07-15T11:14:39 |
oeisdata/seq/A383/A383045.seq
|
fef4bc484307c873d6d49e1ef748e1a2
|
A383046
|
Smallest initial value for shortcut form of the Collatz function (3x+1)/2 sequence that begins with exactly n-1 increases and decreases once before the last increment.
|
[
"11",
"7",
"175",
"287",
"2239",
"4223",
"19199",
"12799",
"52223",
"559103",
"372735",
"5840895",
"9486335",
"6324223",
"48955391",
"32636927",
"1095499775",
"730333183",
"11940134911",
"19413336063",
"35848716287",
"298777051135",
"932192452607",
"621461635071",
"6278369771519",
"4185579847679"
] |
[
"nonn"
] | 29 | 3 | 1 |
[
"A381707",
"A383046"
] | null |
V. Barbera, Apr 20 2025
| 2025-05-08T06:50:39 |
oeisdata/seq/A383/A383046.seq
|
d9bf8fd6267db938bb777296b783906f
|
A383047
|
Squarefree d such that x^3+y^3=z^3 has non-trivial solution in Q(sqrt(d)).
|
[
"2",
"5",
"6",
"11",
"14",
"15",
"17",
"23",
"26",
"29",
"33",
"35",
"38",
"41",
"42",
"43",
"47",
"51",
"53",
"58",
"59",
"62",
"65",
"69",
"71",
"74",
"77",
"78",
"82",
"83",
"85",
"86",
"87",
"89",
"93",
"95",
"101",
"105",
"106",
"107",
"109",
"110",
"113",
"114",
"119",
"122",
"123",
"131",
"134",
"137",
"141",
"142",
"143",
"146",
"149",
"155",
"158",
"159",
"161",
"167",
"170"
] |
[
"nonn"
] | 13 | 1 | 1 |
[
"A383047",
"A383048"
] | null |
Seiichi Azuma, Apr 14 2025
| 2025-04-21T23:08:13 |
oeisdata/seq/A383/A383047.seq
|
1fd9a8b9ee808da055250a885cc2c2d6
|
A383048
|
Squarefree d such that x^3+y^3=z^3 has non-trivial solution in Q(sqrt(-d)).
|
[
"2",
"5",
"6",
"11",
"14",
"15",
"17",
"23",
"26",
"29",
"31",
"33",
"35",
"38",
"41",
"42",
"47",
"51",
"53",
"59",
"62",
"65",
"69",
"71",
"74",
"77",
"78",
"83",
"86",
"87",
"89",
"95",
"101",
"105",
"106",
"107",
"109",
"110",
"113",
"114",
"119",
"122",
"123",
"129",
"131",
"134",
"137",
"141",
"143",
"14",
"149",
"155",
"158",
"159",
"161",
"167",
"170",
"173",
"174",
"177",
"179"
] |
[
"nonn"
] | 13 | 1 | 1 |
[
"A383047",
"A383048"
] | null |
Seiichi Azuma, Apr 14 2025
| 2025-04-21T23:08:43 |
oeisdata/seq/A383/A383048.seq
|
ca9fe3b331e6f76c45994554325a7579
|
A383049
|
Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) is the n-th term of the inverse Stirling transform of j-> (j+1)^k.
|
[
"1",
"1",
"1",
"1",
"2",
"0",
"1",
"4",
"1",
"0",
"1",
"8",
"5",
"-1",
"0",
"1",
"16",
"19",
"-3",
"2",
"0",
"1",
"32",
"65",
"-1",
"4",
"-6",
"0",
"1",
"64",
"211",
"45",
"-10",
"-8",
"24",
"0",
"1",
"128",
"665",
"359",
"-116",
"48",
"20",
"-120",
"0",
"1",
"256",
"2059",
"2037",
"-538",
"340",
"-234",
"-52",
"720",
"0",
"1",
"512",
"6305",
"10079",
"-1316",
"984",
"-1240",
"1302",
"72",
"-5040",
"0"
] |
[
"sign",
"tabl"
] | 17 | 0 | 5 |
[
"A019590",
"A222627",
"A222636",
"A222748",
"A223023",
"A302190",
"A362924",
"A362925",
"A383049",
"A383050",
"A383051"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:25:42 |
oeisdata/seq/A383/A383049.seq
|
4c3de4f0037d64a70e3932282d09f52c
|
A383050
|
a(n) = Sum_{k=0..n} (k+1)^6 * Stirling1(n,k).
|
[
"1",
"64",
"665",
"2037",
"-1316",
"-1148",
"16400",
"-116032",
"809592",
"-6059424",
"49512792",
"-442266888",
"4302605280",
"-45351578400",
"515054655360",
"-6268075470720",
"81309027784320",
"-1118525784929280",
"16235659302272640",
"-247395991797912960",
"3936073920965890560",
"-64988868076072657920"
] |
[
"sign"
] | 12 | 0 | 2 |
[
"A383049",
"A383050"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:26:05 |
oeisdata/seq/A383/A383050.seq
|
9fced3129f030382ea596364858aca47
|
A383051
|
a(n) is the n-th term of the inverse Stirling transform of j-> (j+1)^n.
|
[
"1",
"2",
"5",
"-1",
"-116",
"984",
"16400",
"-788418",
"5474016",
"941115360",
"-51647682648",
"-264087895512",
"244846563852864",
"-16953959408998080",
"-436871956049596800",
"219647419965976413744",
"-20283048895473275917824",
"-877465277974899660349440",
"545297904370739513319183360"
] |
[
"sign"
] | 13 | 0 | 2 |
[
"A320082",
"A367820",
"A383049",
"A383051"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:25:38 |
oeisdata/seq/A383/A383051.seq
|
14786ca352472da6acb45b2113d3b454
|
A383052
|
a(n) = Sum_{k=0..n} (k+1)^3 * Stirling2(n,k).
|
[
"1",
"8",
"35",
"153",
"706",
"3479",
"18313",
"102678",
"610989",
"3844525",
"25492752",
"177579961",
"1295811637",
"9879799744",
"78525094847",
"649253421173",
"5573667453498",
"49595062947091",
"456689512735421",
"4345710521536150",
"42675672248378721",
"431963852263306569",
"4501627598926298992"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A000110",
"A222636",
"A362925",
"A383052"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:26:39 |
oeisdata/seq/A383/A383052.seq
|
877ad1d538025cf62a377c51d7bf5cf8
|
A383053
|
a(n) = Sum_{k=0..n} (k+1)^4 * Stirling2(n,k).
|
[
"1",
"16",
"97",
"515",
"2744",
"15177",
"88033",
"536882",
"3441439",
"23151411",
"163135410",
"1201594675",
"9232595661",
"73858810120",
"614045917741",
"5296398334735",
"47321198203496",
"437310785441381",
"4174403973827181",
"41107555809612466",
"417122543915965091",
"4356601173778017487"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A000110",
"A222748",
"A362925",
"A383053"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:26:34 |
oeisdata/seq/A383/A383053.seq
|
7a3c7ba0b6574c8587b9de62307be468
|
A383054
|
a(n) = Sum_{k=0..n} (k+1)^5 * Stirling2(n,k).
|
[
"1",
"32",
"275",
"1785",
"11002",
"68303",
"436297",
"2891670",
"19947717",
"143327725",
"1072207680",
"8342947657",
"67440657877",
"565603592392",
"4914839764895",
"44191989524117",
"410644596021954",
"3938713285932859",
"38950532224469117",
"396712750010963782",
"4157217331880368521"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A000110",
"A223023",
"A362925",
"A383054"
] | null |
Seiichi Manyama, Apr 14 2025
| 2025-04-15T08:26:44 |
oeisdata/seq/A383/A383054.seq
|
ae4b9ff534cb96ee36ebf044b18f6b73
|
A383055
|
Numerators of the partial sums of the reciprocals of the number of unitary divisors function (A034444).
|
[
"1",
"3",
"2",
"5",
"3",
"13",
"15",
"17",
"19",
"5",
"11",
"23",
"25",
"13",
"27",
"29",
"31",
"8",
"17",
"35",
"9",
"37",
"39",
"10",
"21",
"43",
"45",
"23",
"12",
"97",
"101",
"105",
"107",
"109",
"111",
"113",
"117",
"119",
"121",
"123",
"127",
"16",
"33",
"67",
"17",
"69",
"71",
"18",
"37",
"75",
"19",
"77",
"79",
"20",
"81",
"41",
"83",
"21",
"43",
"173",
"177",
"179",
"181",
"185"
] |
[
"nonn",
"easy",
"frac"
] | 8 | 1 | 2 |
[
"A002161",
"A034444",
"A064608",
"A104528",
"A345288",
"A370898",
"A379513",
"A383055",
"A383056"
] | null |
Amiram Eldar, Apr 15 2025
| 2025-04-15T10:26:24 |
oeisdata/seq/A383/A383055.seq
|
44988b9b5a552d9f6f1e4ac4119d56f9
|
A383056
|
Denominators of the partial sums of the reciprocals of the number of unitary divisors function (A034444).
|
[
"1",
"2",
"1",
"2",
"1",
"4",
"4",
"4",
"4",
"1",
"2",
"4",
"4",
"2",
"4",
"4",
"4",
"1",
"2",
"4",
"1",
"4",
"4",
"1",
"2",
"4",
"4",
"2",
"1",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"1",
"2",
"4",
"1",
"4",
"4",
"1",
"2",
"4",
"1",
"4",
"4",
"1",
"4",
"2",
"4",
"1",
"2",
"8",
"8",
"8",
"8",
"8",
"8",
"2",
"1",
"4",
"2",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"1",
"2",
"4",
"4",
"2",
"1",
"8",
"8",
"8",
"8",
"8"
] |
[
"nonn",
"easy",
"frac"
] | 7 | 1 | 2 |
[
"A034444",
"A064608",
"A104529",
"A370898",
"A379514",
"A383055",
"A383056"
] | null |
Amiram Eldar, Apr 15 2025
| 2025-04-15T10:26:19 |
oeisdata/seq/A383/A383056.seq
|
3dfff89014c956537fedb3303c161499
|
A383057
|
Decimal expansion of the asymptotic mean of A056671(k)/A034444(k), the ratio between the number of squarefree unitary divisors and the number of unitary divisors over the positive integers.
|
[
"7",
"8",
"9",
"3",
"6",
"2",
"6",
"0",
"1",
"2",
"6",
"0",
"9",
"8",
"9",
"0",
"2",
"9",
"1",
"0",
"3",
"7",
"0",
"8",
"6",
"2",
"9",
"2",
"5",
"1",
"3",
"9",
"6",
"8",
"9",
"2",
"7",
"6",
"8",
"5",
"1",
"6",
"7",
"6",
"0",
"5",
"2",
"6",
"9",
"1",
"6",
"5",
"0",
"5",
"3",
"3",
"3",
"6",
"8",
"4",
"7",
"4",
"1",
"6",
"1",
"3",
"6",
"0",
"9",
"9",
"3",
"9",
"8",
"8",
"2",
"2",
"5",
"2",
"7",
"5",
"3",
"6",
"3",
"2",
"5",
"0",
"2",
"0",
"3",
"4",
"3",
"4",
"4",
"8",
"7",
"0",
"9",
"9",
"0",
"8",
"4",
"9",
"1",
"1",
"4"
] |
[
"nonn",
"cons"
] | 6 | 0 | 1 |
[
"A034444",
"A056671",
"A082020",
"A308043",
"A383057",
"A383058"
] | null |
Amiram Eldar, Apr 15 2025
| 2025-04-15T10:26:12 |
oeisdata/seq/A383/A383057.seq
|
719a8f6c040a3236891eb5f537a8afd0
|
A383058
|
Decimal expansion of the asymptotic mean of A365498(k)/A034444(k), the ratio between the number of cubefree unitary divisors and the number of unitary divisors over the positive integers.
|
[
"9",
"1",
"4",
"2",
"9",
"4",
"4",
"1",
"1",
"8",
"0",
"1",
"9",
"8",
"0",
"6",
"2",
"4",
"4",
"8",
"2",
"9",
"6",
"1",
"7",
"6",
"4",
"5",
"2",
"1",
"5",
"6",
"7",
"1",
"8",
"4",
"3",
"7",
"8",
"5",
"4",
"6",
"6",
"9",
"1",
"7",
"8",
"1",
"9",
"3",
"6",
"8",
"6",
"6",
"5",
"9",
"1",
"9",
"9",
"7",
"9",
"7",
"6",
"7",
"0",
"0",
"8",
"5",
"3",
"4",
"3",
"8",
"8",
"3",
"2",
"0",
"5",
"6",
"7",
"6",
"0",
"8",
"0",
"0",
"7",
"1",
"0",
"7",
"6",
"7",
"3",
"6",
"5",
"0",
"0",
"4",
"2",
"6",
"2",
"6",
"0",
"5",
"8",
"2",
"4"
] |
[
"nonn",
"cons"
] | 5 | 0 | 1 |
[
"A034444",
"A157289",
"A361062",
"A365498",
"A383057",
"A383058"
] | null |
Amiram Eldar, Apr 15 2025
| 2025-04-15T10:26:04 |
oeisdata/seq/A383/A383058.seq
|
66fc47a4360ef73cac8764749297eb80
|
A383059
|
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",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"20",
"10",
"12",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"40",
"13",
"42",
"30",
"14",
"44",
"45",
"46",
"47",
"48",
"49",
"60",
"15",
"62",
"32",
"34",
"50",
"16",
"64",
"52",
"35",
"66",
"67",
"68",
"69",
"80",
"17",
"82",
"36",
"70",
"18",
"84",
"54",
"56",
"72",
"37",
"86",
"74",
"57",
"88",
"89",
"200",
"19",
"201",
"38",
"90",
"39",
"202",
"58"
] |
[
"nonn",
"base",
"look"
] | 9 | 1 | 3 |
[
"A342042",
"A342043",
"A342044",
"A342045",
"A382462",
"A382621",
"A382935",
"A383059",
"A383060",
"A383061",
"A383062",
"A383063"
] | null |
Paolo Xausa, Apr 18 2025
| 2025-04-19T18:02:13 |
oeisdata/seq/A383/A383059.seq
|
9ccbb386afe760dbe8d95bc180caaf58
|
A383060
|
First differences of A383059.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"11",
"-10",
"2",
"10",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"11",
"-27",
"29",
"-12",
"-16",
"30",
"1",
"1",
"1",
"1",
"1",
"11",
"-45",
"47",
"-30",
"2",
"16",
"-34",
"48",
"-12",
"-17",
"31",
"1",
"1",
"1",
"11",
"-63",
"65",
"-46",
"34",
"-52",
"66",
"-30",
"2",
"16",
"-35",
"49",
"-12",
"-17",
"31",
"1",
"111",
"-181",
"182",
"-163",
"52",
"-51",
"163",
"-144"
] |
[
"sign",
"base"
] | 6 | 1 | 10 |
[
"A383059",
"A383060"
] | null |
Paolo Xausa, Apr 18 2025
| 2025-04-19T18:02:25 |
oeisdata/seq/A383/A383060.seq
|
7bb992f436fbe43688623a8c4b8f2d96
|
A383061
|
Positive integers that contain an odd digit d immediately preceded by a digit >= d.
|
[
"11",
"21",
"31",
"33",
"41",
"43",
"51",
"53",
"55",
"61",
"63",
"65",
"71",
"73",
"75",
"77",
"81",
"83",
"85",
"87",
"91",
"93",
"95",
"97",
"99",
"110",
"111",
"112",
"113",
"114",
"115",
"116",
"117",
"118",
"119",
"121",
"131",
"133",
"141",
"143",
"151",
"153",
"155",
"161",
"163",
"165",
"171",
"173",
"175",
"177",
"181",
"183",
"185",
"187",
"191",
"193",
"195",
"197",
"199"
] |
[
"nonn",
"base",
"easy"
] | 12 | 1 | 1 |
[
"A347298",
"A382464",
"A382623",
"A382937",
"A383059",
"A383061",
"A383062",
"A383245",
"A383247",
"A383249",
"A383500"
] | null |
Paolo Xausa, Apr 18 2025
| 2025-04-30T11:08:46 |
oeisdata/seq/A383/A383061.seq
|
eff90aadcbc74ede23010558ef8ef2e5
|
A383062
|
Nonnegative integers such that every odd digit except the leftmost is immediately preceded by a smaller digit.
|
[
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"32",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"42",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"52",
"54",
"56",
"57",
"58",
"59",
"60",
"62",
"64",
"66",
"67",
"68",
"69",
"70",
"72",
"74",
"76",
"78",
"79",
"80",
"82",
"84",
"86",
"88",
"89",
"90"
] |
[
"nonn",
"base",
"easy"
] | 11 | 1 | 3 |
[
"A377912",
"A382465",
"A382624",
"A382938",
"A383059",
"A383061",
"A383062",
"A383246",
"A383248",
"A383250",
"A383501"
] | null |
Paolo Xausa, Apr 18 2025
| 2025-04-30T11:08:42 |
oeisdata/seq/A383/A383062.seq
|
ddb67d402e90e98a1c5717bbaeca8c71
|
A383063
|
Split A383059 into runs of increasing elements. a(n) is the length of the n-th run.
|
[
"11",
"11",
"2",
"1",
"8",
"2",
"3",
"2",
"1",
"6",
"2",
"2",
"2",
"3",
"2",
"1",
"4",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"8",
"11",
"9",
"9",
"8",
"8",
"7",
"7",
"6",
"2",
"1",
"6",
"9",
"2",
"9",
"2",
"8",
"2",
"7",
"2",
"7",
"2",
"6",
"2",
"1",
"6",
"5",
"5",
"2",
"2",
"2",
"2",
"1",
"2",
"1",
"7",
"2",
"2",
"4",
"7",
"2",
"1",
"2",
"7",
"2",
"4",
"6",
"4",
"2",
"1",
"2",
"5",
"2",
"2",
"7",
"2",
"2",
"4",
"2",
"1",
"2",
"4",
"2",
"2",
"1",
"2",
"1"
] |
[
"nonn",
"base"
] | 5 | 1 | 1 |
[
"A383059",
"A383063"
] | null |
Paolo Xausa, Apr 18 2025
| 2025-04-19T18:02:48 |
oeisdata/seq/A383/A383063.seq
|
a949e4987de1559cdd3e995e2c4795a4
|
A383064
|
Square array A(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of e.g.f. Sum_{j>=0} (j+1)^k * (-log(1-x))^j / j!.
|
[
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"4",
"5",
"6",
"1",
"8",
"13",
"17",
"24",
"1",
"16",
"35",
"51",
"74",
"120",
"1",
"32",
"97",
"161",
"244",
"394",
"720",
"1",
"64",
"275",
"531",
"854",
"1392",
"2484",
"5040",
"1",
"128",
"793",
"1817",
"3148",
"5248",
"9260",
"18108",
"40320",
"1",
"256",
"2315",
"6411",
"12134",
"20940",
"36966",
"70508",
"149904",
"362880"
] |
[
"nonn",
"tabl"
] | 12 | 0 | 5 |
[
"A192563",
"A344639",
"A383064"
] | null |
Seiichi Manyama, Apr 15 2025
| 2025-04-15T08:26:29 |
oeisdata/seq/A383/A383064.seq
|
99f5ee51dd972742507d4aead4a0b821
|
A383065
|
Integers k such that (k/rad(k))*2^rad(k) - 1 is prime where rad = A007947.
|
[
"2",
"3",
"4",
"5",
"7",
"9",
"12",
"13",
"16",
"17",
"18",
"19",
"27",
"31",
"36",
"50",
"60",
"61",
"64",
"80",
"89",
"107",
"108",
"112",
"127",
"135",
"147",
"189",
"200",
"212",
"243",
"252",
"343",
"448",
"464",
"500",
"521",
"576",
"600",
"607",
"612",
"648",
"675",
"688",
"756",
"768",
"784",
"800",
"832",
"875",
"900",
"1058",
"1212",
"1279",
"1280"
] |
[
"nonn"
] | 21 | 1 | 1 |
[
"A000043",
"A002234",
"A003557",
"A007947",
"A172461",
"A383065"
] | null |
Juri-Stepan Gerasimov, Apr 19 2025
| 2025-05-01T21:52:49 |
oeisdata/seq/A383/A383065.seq
|
3b9e076da35bb9aeda5ee11736e570ea
|
A383066
|
A 2-regular sequence associated with the number of divisors of n^2 + 1 (A193432).
|
[
"0",
"1",
"1",
"2",
"3",
"3",
"2",
"3",
"7",
"8",
"5",
"5",
"8",
"7",
"3",
"4",
"13",
"17",
"12",
"13",
"21",
"18",
"7",
"7",
"18",
"21",
"13",
"12",
"17",
"13",
"4",
"5",
"21",
"30",
"23",
"27",
"46",
"41",
"17",
"18",
"47",
"55",
"34",
"31",
"43",
"32",
"9",
"9",
"32",
"43",
"31",
"34",
"55",
"47",
"18",
"17",
"41",
"46",
"27",
"23",
"30",
"21",
"5",
"6",
"31",
"47",
"38",
"47",
"83",
"76",
"33"
] |
[
"nonn",
"look"
] | 24 | 1 | 4 |
[
"A193432",
"A383066"
] | null |
Jeffrey Shallit, Apr 15 2025
| 2025-05-01T18:53:08 |
oeisdata/seq/A383/A383066.seq
|
1404d65aa6a6348acbbbf14a78c7c5f4
|
A383067
|
The set of positive integers k which can be expressed as a sum of two units in some cyclic cubic field.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"19",
"22"
] |
[
"nonn",
"fini",
"full"
] | 6 | 1 | 2 |
[
"A383067",
"A383068"
] | null |
Robin Visser, Apr 15 2025
| 2025-04-19T06:16:07 |
oeisdata/seq/A383/A383067.seq
|
3c10c62ecf2bd8f776408e76b6f68a04
|
A383068
|
The set of all integers k >= -1 with the property that there exist integers X and Y such that X*Y*(X+Y) is nonzero and X^3 - k*X^2*Y - (k+3)*X*Y^2 - Y^3 is a divisor of k^2 + 3*k + 9.
|
[
"-1",
"0",
"1",
"2",
"3",
"5",
"12",
"54",
"66",
"1259",
"2389"
] |
[
"sign",
"fini",
"full"
] | 9 | 1 | 4 |
[
"A379019",
"A383067",
"A383068"
] | null |
Robin Visser, Apr 15 2025
| 2025-04-19T06:16:00 |
oeisdata/seq/A383/A383068.seq
|
1bf97ed5aa17beeb590de29cab631ea0
|
A383069
|
Lexicographically earliest sequence of distinct positive integers such that a(a(n)) shares a factor with a(a(n-1)).
|
[
"2",
"3",
"6",
"1",
"7",
"8",
"10",
"5",
"11",
"35",
"14",
"9",
"15",
"22",
"33",
"12",
"13",
"16",
"18",
"19",
"21",
"24",
"17",
"39",
"20",
"27",
"38",
"23",
"30",
"34",
"25",
"29",
"36",
"26",
"40",
"42",
"28",
"68",
"247",
"45",
"31",
"69",
"32",
"46",
"50",
"58",
"37",
"43",
"44",
"52",
"41",
"62",
"47",
"55",
"74",
"48",
"59",
"54",
"215",
"49",
"56",
"1147",
"51",
"65",
"82",
"53",
"70",
"92",
"145",
"94",
"57",
"73",
"118"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A064413",
"A378030",
"A378098",
"A378116",
"A383069"
] | null |
Scott R. Shannon, Apr 15 2025
| 2025-05-06T09:30:07 |
oeisdata/seq/A383/A383069.seq
|
c3c7adf91fa0fe1041abf3788a42d17d
|
A383070
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 2.
|
[
"9",
"64",
"463",
"3341",
"24125",
"174172",
"1257515",
"9079056",
"65549673",
"473259806",
"3416873920",
"24669378486",
"178109665460",
"1285928315349",
"9284233050564",
"67030939539430",
"483954553287069",
"3494088121160674",
"25226855944238001",
"182134576675940879",
"1314987650245129696"
] |
[
"nonn",
"base",
"easy"
] | 21 | 1 | 1 |
[
"A052268",
"A100062",
"A383070",
"A383071",
"A383072"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-04-15T22:05:44 |
oeisdata/seq/A383/A383070.seq
|
e4231d4b83c7883d7efa669930e9e46a
|
A383071
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 3.
|
[
"9",
"49",
"282",
"1597",
"9110",
"51800",
"294962",
"1678509",
"9554447",
"54379100",
"309516061",
"1761665068",
"10026939872",
"57070448658",
"324829258129",
"1848836718933",
"10523062986178",
"59894327810129",
"340901772402794",
"1940317523613740",
"11043744749517210",
"62857906319753189"
] |
[
"nonn",
"base",
"easy"
] | 21 | 1 | 1 |
[
"A052268",
"A100062",
"A383070",
"A383071",
"A383072"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-04-15T22:06:46 |
oeisdata/seq/A383/A383071.seq
|
6f160eb4840347a711add89dedddbb3a
|
A383072
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 4.
|
[
"9",
"36",
"166",
"722",
"3224",
"14236",
"63172",
"279728",
"1239800",
"5492776",
"24339328",
"107843024",
"477848240",
"2117296288",
"9381580672",
"41568964736",
"184188672416",
"816124473376",
"3616179527008",
"16022988545120",
"70996522976672",
"314579653288672",
"1393876135246624",
"6176148562918496"
] |
[
"nonn",
"base",
"easy"
] | 23 | 1 | 1 |
[
"A052268",
"A100062",
"A383070",
"A383071",
"A383072"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-04-15T22:06:17 |
oeisdata/seq/A383/A383072.seq
|
3e1cc9986bb40f1661928203001cbf98
|
A383073
|
a(n) = [x^n] Product_{k=1..n} (1 + x^k)^binomial(n,k).
|
[
"1",
"1",
"2",
"11",
"69",
"552",
"5133",
"53804",
"626440",
"7979043",
"110074741",
"1631532542",
"25813521836",
"433619035254",
"7698641650937",
"143908414079881",
"2822753485000135",
"57930283521990154",
"1240695879627856673",
"27666701629865989070",
"641049490249340264699"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A026007",
"A102866",
"A344130",
"A360660",
"A369578",
"A383073"
] | null |
Vaclav Kotesovec, Apr 15 2025
| 2025-04-15T09:41:02 |
oeisdata/seq/A383/A383073.seq
|
fab3fbf1ad2f7963c658e7f2617754e7
|
A383074
|
a(n) = floor(A066206(n)/A066205(n)).
|
[
"1",
"2",
"2",
"2",
"3",
"4",
"4",
"4",
"5",
"5",
"5",
"6",
"6",
"6",
"7",
"7",
"7",
"7",
"7",
"8",
"8",
"8",
"8",
"8",
"8",
"9",
"9",
"9",
"9",
"9",
"10",
"10",
"10",
"10",
"10",
"10",
"11",
"11",
"11",
"11",
"11",
"11",
"11",
"12",
"12",
"12",
"12",
"12",
"12",
"13",
"13",
"13",
"13",
"14",
"14",
"14",
"14",
"14",
"14",
"14",
"15",
"15",
"15",
"15",
"15",
"15",
"15",
"16",
"16",
"16",
"16",
"16"
] |
[
"nonn"
] | 8 | 1 | 2 |
[
"A000040",
"A066205",
"A066206",
"A383074"
] | null |
Clark Kimberling, Apr 19 2025
| 2025-05-09T00:50:54 |
oeisdata/seq/A383/A383074.seq
|
6a5a854a8644e7598cb34c8e4635e473
|
A383075
|
Smallest number m such that m*(m + 1)*(2*m + 1)/6 is divisible by n.
|
[
"1",
"3",
"4",
"7",
"2",
"4",
"3",
"15",
"13",
"4",
"5",
"8",
"6",
"3",
"4",
"31",
"8",
"27",
"9",
"7",
"13",
"11",
"11",
"31",
"12",
"12",
"40",
"7",
"14",
"4",
"15",
"63",
"22",
"8",
"7",
"40",
"18",
"19",
"13",
"15",
"20",
"27",
"21",
"16",
"27",
"11",
"23",
"31",
"24",
"12",
"8",
"32",
"26",
"40",
"5",
"31",
"9",
"28",
"29",
"40",
"30",
"15",
"13",
"127",
"12",
"27",
"33",
"8",
"22",
"7",
"35"
] |
[
"nonn"
] | 27 | 1 | 2 |
[
"A000330",
"A007520",
"A011772",
"A383075"
] | null |
Ctibor O. Zizka, Apr 15 2025
| 2025-05-26T21:52:13 |
oeisdata/seq/A383/A383075.seq
|
47309f08cb6f99925ae67bbc1eec5e15
|
A383076
|
Triangle T(n,k) read by rows: where T(n,k) is the number of the k-th eliminated person in the variation of the Josephus elimination process for n people, where the elimination pattern is eliminate-skip-eliminate.
|
[
"1",
"1",
"2",
"1",
"3",
"2",
"1",
"3",
"4",
"2",
"1",
"3",
"4",
"2",
"5",
"1",
"3",
"4",
"6",
"2",
"5",
"1",
"3",
"4",
"6",
"7",
"5",
"2",
"1",
"3",
"4",
"6",
"7",
"2",
"5",
"8",
"1",
"3",
"4",
"6",
"7",
"9",
"2",
"8",
"5",
"1",
"3",
"4",
"6",
"7",
"9",
"10",
"5",
"8",
"2",
"1",
"3",
"4",
"6",
"7",
"9",
"10",
"2",
"5",
"11",
"8",
"1",
"3",
"4",
"6",
"7",
"9",
"10",
"12",
"2",
"8",
"11",
"5",
"1",
"3",
"4",
"6",
"7",
"9",
"10",
"12",
"13",
"5",
"8",
"2",
"11"
] |
[
"nonn",
"tabl"
] | 10 | 1 | 3 |
[
"A006257",
"A032766",
"A225381",
"A321298",
"A378635",
"A381050",
"A381051",
"A383076"
] | null |
Tanya Khovanova, Nathan Sheffield, and the MIT PRIMES STEP junior group, Apr 15 2025
| 2025-05-04T17:29:11 |
oeisdata/seq/A383/A383076.seq
|
688b3688fd72a87028cdcaa50a15884f
|
A383077
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 5.
|
[
"9",
"25",
"95",
"325",
"1152",
"4035",
"14191",
"49840",
"175126",
"615251",
"2161615",
"7594445",
"26681890",
"93742420",
"329348786",
"1157113228",
"4065328917",
"14282870761",
"50180539756",
"176301151441",
"619405374858",
"2176179878029",
"7645653483902",
"26861757974676",
"94374410640201",
"331569117405852"
] |
[
"nonn",
"easy"
] | 11 | 1 | 1 |
[
"A052268",
"A100062",
"A383070",
"A383071",
"A383072",
"A383077"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-06-02T15:29:30 |
oeisdata/seq/A383/A383077.seq
|
5cd60b3153aea0945f9c5d9e78aaa6fd
|
A383078
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 6.
|
[
"9",
"16",
"50",
"140",
"407",
"1168",
"3367",
"9691",
"27908",
"80354",
"231374",
"666211",
"1918282",
"5523469",
"15904199",
"45794312",
"131859470",
"379674208",
"1093228315",
"3147825472",
"9063802211",
"26098178315",
"75146709476",
"216376326214",
"623030800330",
"1793945691511",
"5165460748322",
"14873351444633"
] |
[
"nonn",
"easy"
] | 10 | 1 | 1 |
[
"A052268",
"A100062",
"A147704",
"A383070",
"A383071",
"A383072",
"A383077",
"A383078"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-04-18T13:35:50 |
oeisdata/seq/A383/A383078.seq
|
d5c060303b5a8a262dc20ead48b105c5
|
A383079
|
Number of n-digit positive integers where all pairs of consecutive digits have a difference of at least 7.
|
[
"9",
"9",
"22",
"48",
"109",
"244",
"549",
"1233",
"2771",
"6226",
"13990",
"31435",
"70634",
"158713",
"356625",
"801329",
"1800570",
"4045844",
"9090929",
"20427132",
"45899349",
"103134901",
"231742019",
"520719590",
"1170046298",
"2629070167",
"5907467042",
"13273957953",
"29826312781",
"67019116473",
"150590587774"
] |
[
"nonn",
"easy"
] | 10 | 1 | 1 |
[
"A052268",
"A100062",
"A383070",
"A383071",
"A383072",
"A383077",
"A383078",
"A383079"
] | null |
Edwin Hermann, Apr 15 2025
| 2025-04-18T13:36:14 |
oeisdata/seq/A383/A383079.seq
|
bb7d395db9f1bcdfce136a21851a9770
|
A383080
|
Numbers k such that sopf(k) does not divide evenly sopfr(k).
|
[
"12",
"18",
"20",
"24",
"28",
"40",
"44",
"45",
"48",
"50",
"52",
"54",
"56",
"60",
"63",
"68",
"72",
"75",
"76",
"80",
"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",
"198"
] |
[
"nonn"
] | 24 | 1 | 1 |
[
"A001414",
"A008472",
"A008683",
"A059404",
"A323055",
"A383080"
] | null |
Torlach Rush, Apr 15 2025
| 2025-04-17T09:37:06 |
oeisdata/seq/A383/A383080.seq
|
cc1882b1b5a755a23389c46e9b1c864c
|
A383081
|
a(n) = A003557(A089016(n)).
|
[
"1",
"1",
"6",
"2",
"4",
"2",
"4",
"1",
"1",
"4",
"15",
"1",
"4",
"10",
"15",
"1",
"5",
"24",
"52",
"1",
"2",
"5",
"1",
"3",
"5",
"31",
"45",
"2",
"4",
"14",
"41",
"1",
"2",
"5",
"7",
"2",
"4",
"5",
"11",
"30",
"43",
"2",
"6",
"18",
"26",
"71",
"139",
"3",
"36",
"69",
"96",
"5",
"14",
"69",
"95",
"1",
"4",
"11",
"30",
"57",
"1",
"2",
"8",
"39",
"54",
"255",
"2",
"3",
"9",
"32",
"60",
"82",
"2",
"7",
"13",
"45"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A002110",
"A003557",
"A007947",
"A048597",
"A089016",
"A122936",
"A122937",
"A383081"
] | null |
Michael De Vlieger, Apr 18 2025
| 2025-04-19T18:06:58 |
oeisdata/seq/A383/A383081.seq
|
51a14b8430697b0b791f03e0035a0d7e
|
A383082
|
The number of distinct straightedge-and-compass constructions that can be made with a total of n lines and circles.
|
[
"1",
"3",
"3",
"16",
"205",
"5886",
"542983"
] |
[
"hard",
"nonn",
"more"
] | 26 | 0 | 2 |
[
"A333944",
"A383082",
"A383083"
] | null |
Peter Kagey, Apr 15 2025
| 2025-05-08T08:59:06 |
oeisdata/seq/A383/A383082.seq
|
1419eb2cc1b16781c9e5bbf65f78cc58
|
A383083
|
The number of distinct straightedge-and-compass constructions that can be made with no lines and n circles.
|
[
"1",
"2",
"1",
"4",
"44",
"1084",
"91192"
] |
[
"nonn",
"more",
"hard"
] | 13 | 0 | 2 |
[
"A250001",
"A333944",
"A339266",
"A383082",
"A383083"
] | null |
Peter Kagey, Apr 16 2025
| 2025-04-18T21:51:18 |
oeisdata/seq/A383/A383083.seq
|
7286ae38f2b633ec2a5f1a77c683e586
|
A383084
|
The number of points in the Euclidean plane that can be determined via a straightedge-and-compass construction using n or fewer lines and circles.
|
[
"2",
"2",
"6",
"14",
"147",
"5743",
"900487"
] |
[
"nonn",
"hard",
"more"
] | 10 | 0 | 1 |
[
"A333944",
"A383082",
"A383084",
"A383085"
] | null |
Peter Kagey, Apr 16 2025
| 2025-04-18T21:51:54 |
oeisdata/seq/A383/A383084.seq
|
a3af9ea1cbd6437012d26e619a6831be
|
A383085
|
The number of points in the Euclidean plane that can be determined via a straightedge-and-compass construction using no lines and n or fewer circles.
|
[
"2",
"2",
"4",
"10",
"52",
"1704",
"214135"
] |
[
"nonn",
"hard",
"more"
] | 10 | 0 | 1 |
[
"A383083",
"A383084",
"A383085"
] | null |
Peter Kagey, Apr 16 2025
| 2025-04-18T21:53:36 |
oeisdata/seq/A383/A383085.seq
|
2fad81eff4535e93c6f4bb786ec8b9eb
|
A383086
|
The number of distinct distances between points in the Euclidean plane where the points are constructed via a straightedge-and-compass construction using n circles and no lines.
|
[
"1",
"1",
"2",
"4",
"35",
"2480"
] |
[
"nonn",
"more",
"hard"
] | 14 | 0 | 3 |
[
"A383083",
"A383085",
"A383086",
"A383087"
] | null |
Peter Kagey, Apr 16 2025
| 2025-04-19T08:33:13 |
oeisdata/seq/A383/A383086.seq
|
200979c9ae43dccafa8746aa84ffe0b0
|
A383087
|
The number of distinct distances between points in the Euclidean plane where the points are constructed via a straightedge-and-compass construction using n lines and circles.
|
[
"1",
"1",
"3",
"5",
"73",
"6628"
] |
[
"nonn",
"more",
"hard"
] | 8 | 0 | 3 |
[
"A383082",
"A383084",
"A383086",
"A383087"
] | null |
Peter Kagey, Apr 16 2025
| 2025-04-18T21:54:10 |
oeisdata/seq/A383/A383087.seq
|
445d09515fd06f89b199f26c6df93ab0
|
A383088
|
Numbers whose multiset of prime indices does not have all equal run-sums.
|
[
"6",
"10",
"14",
"15",
"18",
"20",
"21",
"22",
"24",
"26",
"28",
"30",
"33",
"34",
"35",
"36",
"38",
"39",
"42",
"44",
"45",
"46",
"48",
"50",
"51",
"52",
"54",
"55",
"56",
"57",
"58",
"60",
"62",
"65",
"66",
"68",
"69",
"70",
"72",
"74",
"75",
"76",
"77",
"78",
"80",
"82",
"84",
"85",
"86",
"87",
"88",
"90",
"91",
"92",
"93",
"94",
"95",
"96",
"98",
"99",
"100",
"102",
"104",
"105"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A000720",
"A001221",
"A001222",
"A006171",
"A047966",
"A056239",
"A059404",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A112798",
"A130091",
"A130092",
"A242031",
"A300273",
"A304405",
"A304406",
"A304428",
"A304430",
"A304442",
"A304678",
"A304686",
"A321455",
"A326518",
"A326534",
"A334965",
"A353833",
"A353837",
"A353838",
"A353839",
"A353848",
"A353851",
"A353861",
"A353862",
"A353931",
"A353932",
"A354584",
"A357861",
"A357862",
"A357864",
"A357875",
"A382076",
"A382877",
"A383014",
"A383015",
"A383088",
"A383095",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 17 2025
| 2025-04-18T09:57:41 |
oeisdata/seq/A383/A383088.seq
|
63d6d15158a203bf56ca72f4cf482fe3
|
A383089
|
Numbers whose prime indices have more than one permutation with all equal run-lengths.
|
[
"6",
"10",
"14",
"15",
"21",
"22",
"26",
"30",
"33",
"34",
"35",
"36",
"38",
"39",
"42",
"46",
"51",
"55",
"57",
"58",
"60",
"62",
"65",
"66",
"69",
"70",
"74",
"77",
"78",
"82",
"84",
"85",
"86",
"87",
"90",
"91",
"93",
"94",
"95",
"100",
"102",
"105",
"106",
"110",
"111",
"114",
"115",
"118",
"119",
"120",
"122",
"123",
"126",
"129",
"130",
"132",
"133",
"134",
"138",
"140"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A000720",
"A000961",
"A001221",
"A001222",
"A044813",
"A047966",
"A048767",
"A055396",
"A056239",
"A061395",
"A098859",
"A112798",
"A130091",
"A239455",
"A329738",
"A329739",
"A351291",
"A351293",
"A351294",
"A351295",
"A351596",
"A353744",
"A353833",
"A381432",
"A381433",
"A381541",
"A381871",
"A382771",
"A382857",
"A382877",
"A382879",
"A382915",
"A383014",
"A383015",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383097",
"A383100",
"A383112",
"A383113"
] | null |
Gus Wiseman, Apr 18 2025
| 2025-04-19T19:34:45 |
oeisdata/seq/A383/A383089.seq
|
8f62d8ef08612f24d62bdf44a15808af
|
A383090
|
Number of integer partitions of n having more than one permutation with all equal run-lengths.
|
[
"0",
"0",
"0",
"1",
"1",
"2",
"4",
"5",
"9",
"14",
"20",
"28",
"43",
"55",
"77",
"107",
"141",
"183",
"244",
"312",
"411",
"521",
"664",
"837",
"1069",
"1328",
"1667",
"2069",
"2578",
"3166",
"3929",
"4791",
"5895",
"7168",
"8749",
"10594",
"12883",
"15500",
"18741",
"22493",
"27069",
"32334",
"38760",
"46133",
"55065",
"65367",
"77686",
"91905",
"108927",
"128431",
"151674"
] |
[
"nonn"
] | 13 | 0 | 6 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A047966",
"A047993",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A237984",
"A239455",
"A304442",
"A329738",
"A329739",
"A351293",
"A351294",
"A351295",
"A353744",
"A381432",
"A381433",
"A381541",
"A381871",
"A382076",
"A382771",
"A382857",
"A382877",
"A382879",
"A382915",
"A383013",
"A383015",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110",
"A383111",
"A383112",
"A383113"
] | null |
Gus Wiseman, Apr 19 2025
| 2025-04-26T11:27:59 |
oeisdata/seq/A383/A383090.seq
|
30d2999990cd91c1e08d28117dff4cf1
|
A383091
|
Numbers whose prime indices have at most one permutation with all equal run-lengths.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"12",
"13",
"16",
"17",
"18",
"19",
"20",
"23",
"24",
"25",
"27",
"28",
"29",
"31",
"32",
"37",
"40",
"41",
"43",
"44",
"45",
"47",
"48",
"49",
"50",
"52",
"53",
"54",
"56",
"59",
"61",
"63",
"64",
"67",
"68",
"71",
"72",
"73",
"75",
"76",
"79",
"80",
"81",
"83",
"88",
"89",
"92",
"96",
"97",
"98",
"99",
"101",
"103",
"104",
"107",
"108",
"109"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A000720",
"A000961",
"A001221",
"A001222",
"A047966",
"A048767",
"A056239",
"A098859",
"A112798",
"A130091",
"A329738",
"A329739",
"A351291",
"A351294",
"A351596",
"A353744",
"A353833",
"A381435",
"A382771",
"A382857",
"A382877",
"A382879",
"A382915",
"A383015",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383095",
"A383096",
"A383097",
"A383099",
"A383100",
"A383112",
"A383113"
] | null |
Gus Wiseman, Apr 18 2025
| 2025-04-19T19:34:49 |
oeisdata/seq/A383/A383091.seq
|
e848b3e8b652fd55d34fc82682dda51d
|
A383092
|
Number of integer partitions of n having at most one permutation with all equal run-lengths.
|
[
"1",
"1",
"2",
"2",
"4",
"5",
"7",
"10",
"13",
"16",
"22",
"28",
"34",
"46",
"58",
"69",
"90",
"114",
"141",
"178",
"216",
"271",
"338",
"418",
"506",
"630",
"769",
"941",
"1140",
"1399",
"1675",
"2051",
"2454",
"2975",
"3561",
"4289",
"5094",
"6137",
"7274",
"8692",
"10269",
"12249",
"14414",
"17128",
"20110",
"23767",
"27872",
"32849",
"38346",
"45094",
"52552",
"61533"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A000009",
"A000041",
"A006171",
"A008284",
"A008289",
"A047966",
"A047993",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A239455",
"A304442",
"A329738",
"A329739",
"A351291",
"A351293",
"A351294",
"A351295",
"A351596",
"A353744",
"A362608",
"A381432",
"A381433",
"A381871",
"A382076",
"A382771",
"A382857",
"A382877",
"A382879",
"A382915",
"A383013",
"A383015",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110",
"A383111",
"A383112"
] | null |
Gus Wiseman, Apr 19 2025
| 2025-04-26T11:27:54 |
oeisdata/seq/A383/A383092.seq
|
312483f3143bee00f9206713e029a8c6
|
A383093
|
Number of integer partitions of n that can be partitioned into constant blocks with a common sum.
|
[
"1",
"1",
"2",
"2",
"4",
"2",
"7",
"2",
"9",
"5",
"9",
"2",
"23",
"2",
"11",
"10",
"24",
"2",
"33",
"2",
"36",
"12",
"15",
"2",
"87",
"7",
"17",
"17",
"53",
"2",
"96",
"2",
"79",
"16",
"21",
"14",
"196",
"2",
"23",
"18",
"154",
"2",
"166",
"2",
"99",
"54",
"27",
"2",
"431",
"9",
"85",
"22",
"128",
"2",
"303",
"18",
"261",
"24",
"33",
"2",
"771",
"2",
"35",
"73",
"331",
"20",
"422",
"2",
"198",
"28",
"216",
"2",
"1369"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000009",
"A000041",
"A000688",
"A001055",
"A006171",
"A045778",
"A047966",
"A050361",
"A265947",
"A279784",
"A279789",
"A295935",
"A300383",
"A317141",
"A323774",
"A326534",
"A353864",
"A355743",
"A381453",
"A381455",
"A381635",
"A381636",
"A381715",
"A381716",
"A381717",
"A381718",
"A381719",
"A381871",
"A381993",
"A381994",
"A381995",
"A382076",
"A382080",
"A382203",
"A382204",
"A382427",
"A383014",
"A383093",
"A383096",
"A383098",
"A383100",
"A383110",
"A383309"
] | null |
Gus Wiseman, Apr 22 2025
| 2025-05-04T10:00:57 |
oeisdata/seq/A383/A383093.seq
|
893746c0b707e4c93868e64c6fdbc29e
|
A383094
|
Number of integer partitions of n having exactly one permutation with all equal run-lengths.
|
[
"1",
"1",
"2",
"2",
"4",
"4",
"5",
"6",
"9",
"7",
"11",
"10",
"13",
"12",
"17",
"14",
"21",
"16",
"21",
"18",
"27",
"22",
"29",
"22",
"34",
"25",
"35",
"28",
"41",
"28",
"43",
"30",
"48",
"38",
"47",
"38",
"55",
"36",
"53",
"46",
"64",
"40",
"67",
"42",
"69",
"54",
"65",
"46",
"84",
"51",
"75",
"62",
"83",
"52",
"86",
"62",
"94",
"70",
"83",
"58",
"111",
"60",
"89",
"80",
"106",
"74",
"115",
"66",
"111"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A047966",
"A047993",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A239455",
"A304442",
"A329738",
"A329739",
"A351291",
"A351293",
"A351294",
"A351295",
"A351596",
"A353744",
"A362608",
"A381432",
"A381433",
"A381871",
"A382076",
"A382771",
"A382857",
"A382879",
"A382915",
"A383013",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383110",
"A383111",
"A383112"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-04-26T08:06:17 |
oeisdata/seq/A383/A383094.seq
|
dd43c4866b8f2552da53f71337a120ad
|
A383095
|
Number of integer partitions of n having exactly one permutation with all equal run-sums.
|
[
"1",
"1",
"2",
"2",
"3",
"2",
"6",
"2",
"4",
"5",
"6",
"2",
"12",
"2",
"6",
"8",
"5",
"2",
"20",
"2",
"12",
"8",
"6",
"2",
"20",
"5",
"6",
"12",
"12",
"2",
"34",
"2",
"6",
"8",
"6",
"8",
"45",
"2",
"6",
"8",
"20",
"2",
"34",
"2",
"12",
"28",
"6",
"2",
"30",
"5",
"20",
"8",
"12",
"2",
"52",
"8",
"20",
"8",
"6",
"2",
"78",
"2",
"6",
"28",
"7",
"8",
"34",
"2",
"12",
"8",
"34",
"2",
"80",
"2",
"6",
"28",
"12",
"8",
"34",
"2",
"30",
"25"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A000005",
"A047966",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A130091",
"A242031",
"A275870",
"A300273",
"A304405",
"A304406",
"A304428",
"A304430",
"A304442",
"A304678",
"A304686",
"A321455",
"A326518",
"A326534",
"A329738",
"A334965",
"A353832",
"A353833",
"A353837",
"A353838",
"A353839",
"A353848",
"A353851",
"A353932",
"A354584",
"A357861",
"A357862",
"A357864",
"A357875",
"A381636",
"A381871",
"A382076",
"A382876",
"A382877",
"A383015",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 16 2025
| 2025-04-26T11:26:50 |
oeisdata/seq/A383/A383095.seq
|
fb2fae9fb9666604a234762a0a813808
|
A383096
|
Number of integer partitions of n having no permutation with all equal run-sums.
|
[
"0",
"0",
"0",
"1",
"1",
"5",
"4",
"13",
"15",
"25",
"35",
"54",
"58",
"99",
"128",
"168",
"217",
"295",
"358",
"488",
"603",
"784",
"995",
"1253",
"1517",
"1953",
"2429",
"2997",
"3688",
"4563",
"5532",
"6840",
"8311",
"10135",
"12303",
"14875",
"17842",
"21635",
"26008",
"31177",
"37247",
"44581",
"53062",
"63259",
"75130",
"89096",
"105551",
"124752",
"147015",
"173520"
] |
[
"nonn"
] | 12 | 0 | 6 |
[
"A006171",
"A047966",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A130091",
"A242031",
"A275870",
"A300273",
"A304405",
"A304406",
"A304428",
"A304430",
"A304442",
"A304678",
"A304686",
"A321455",
"A326518",
"A326534",
"A329738",
"A334965",
"A353832",
"A353833",
"A353837",
"A353838",
"A353839",
"A353848",
"A353851",
"A353932",
"A354584",
"A357861",
"A357862",
"A357864",
"A357875",
"A381636",
"A381717",
"A382076",
"A382857",
"A382876",
"A382877",
"A382879",
"A382914",
"A382915",
"A383015",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 17 2025
| 2025-04-26T11:26:53 |
oeisdata/seq/A383/A383096.seq
|
e546493b291b223d2ffc8db8f3d92c56
|
A383097
|
Number of integer partitions of n having more than one permutation with all equal run-sums.
|
[
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"3",
"0",
"1",
"0",
"7",
"0",
"1",
"0",
"9",
"0",
"7",
"0",
"12",
"0",
"1",
"0",
"38",
"0",
"1",
"1",
"18",
"0",
"38",
"0",
"32",
"0",
"1",
"0",
"90",
"0",
"1",
"0",
"71",
"0",
"78",
"0",
"33",
"10",
"1",
"0",
"228",
"0",
"31",
"0",
"42",
"0",
"156",
"0",
"123",
"0",
"1",
"0",
"447",
"0",
"1",
"16",
"146",
"0",
"222",
"0",
"63",
"0",
"102",
"0",
"811",
"0",
"1",
"29",
"75",
"0",
"334",
"0"
] |
[
"nonn"
] | 9 | 0 | 9 |
[
"A006171",
"A047966",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A130091",
"A242031",
"A275870",
"A300273",
"A304405",
"A304406",
"A304428",
"A304430",
"A304442",
"A304678",
"A304686",
"A321455",
"A326518",
"A326534",
"A329738",
"A334965",
"A353832",
"A353833",
"A353837",
"A353838",
"A353839",
"A353848",
"A353850",
"A353851",
"A353932",
"A354584",
"A357861",
"A357862",
"A357864",
"A357875",
"A381636",
"A381717",
"A382076",
"A382876",
"A382877",
"A383015",
"A383089",
"A383090",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 17 2025
| 2025-04-26T11:26:57 |
oeisdata/seq/A383/A383097.seq
|
0e06dde134d1842c017564a3b90f89ca
|
A383098
|
Number of integer partitions of n having at least one permutation with all equal run-sums.
|
[
"1",
"1",
"2",
"2",
"4",
"2",
"7",
"2",
"7",
"5",
"7",
"2",
"19",
"2",
"7",
"8",
"14",
"2",
"27",
"2",
"24",
"8",
"7",
"2",
"58",
"5",
"7",
"13",
"30",
"2",
"72",
"2",
"38",
"8",
"7",
"8",
"135",
"2",
"7",
"8",
"91",
"2",
"112",
"2",
"45",
"38",
"7",
"2",
"258",
"5",
"51",
"8",
"54",
"2",
"208",
"8",
"143",
"8",
"7",
"2",
"525",
"2",
"7",
"44",
"153",
"8",
"256",
"2",
"75",
"8",
"136",
"2",
"891",
"2",
"7",
"57",
"87",
"8"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A006171",
"A047966",
"A072774",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A130091",
"A242031",
"A275870",
"A300273",
"A304405",
"A304406",
"A304428",
"A304430",
"A304442",
"A304678",
"A304686",
"A321455",
"A326518",
"A326534",
"A329738",
"A334965",
"A353832",
"A353833",
"A353837",
"A353838",
"A353839",
"A353848",
"A353850",
"A353851",
"A353932",
"A354584",
"A357861",
"A357862",
"A357864",
"A357875",
"A382076",
"A382427",
"A382857",
"A382876",
"A382877",
"A382879",
"A383013",
"A383015",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110",
"A383112"
] | null |
Gus Wiseman, Apr 17 2025
| 2025-04-26T11:27:00 |
oeisdata/seq/A383/A383098.seq
|
9f4547db4d83ba9c08fd24e4ac34d69a
|
A383099
|
Numbers whose prime indices have exactly one permutation with all equal run-sums.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"13",
"16",
"17",
"19",
"23",
"25",
"27",
"29",
"31",
"32",
"36",
"37",
"41",
"43",
"47",
"48",
"49",
"53",
"59",
"61",
"64",
"67",
"71",
"73",
"79",
"81",
"83",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"149",
"151",
"157",
"163",
"167",
"169",
"173",
"179",
"181",
"191",
"193"
] |
[
"nonn"
] | 7 | 1 | 2 |
[
"A000005",
"A000720",
"A000961",
"A001221",
"A001222",
"A047966",
"A056239",
"A072774",
"A112798",
"A130091",
"A242031",
"A304442",
"A304678",
"A304686",
"A334965",
"A351294",
"A353832",
"A353833",
"A353838",
"A353848",
"A353851",
"A353932",
"A354584",
"A382857",
"A382876",
"A382877",
"A383013",
"A383015",
"A383091",
"A383095",
"A383096",
"A383098",
"A383099",
"A383100",
"A383110",
"A383112"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-04-22T08:04:24 |
oeisdata/seq/A383/A383099.seq
|
7d5416e5fdb6e3e333ac5d2ce1b8a795
|
A383100
|
Numbers whose prime indices have no permutation with all equal run-sums.
|
[
"6",
"10",
"14",
"15",
"18",
"20",
"21",
"22",
"24",
"26",
"28",
"30",
"33",
"34",
"35",
"38",
"39",
"42",
"44",
"45",
"46",
"50",
"51",
"52",
"54",
"55",
"56",
"57",
"58",
"60",
"62",
"65",
"66",
"68",
"69",
"70",
"72",
"74",
"75",
"76",
"77",
"78",
"80",
"82",
"84",
"85",
"86",
"87",
"88",
"90",
"91",
"92",
"93",
"94",
"95",
"96",
"98",
"99",
"100",
"102",
"104",
"105",
"106",
"108"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A047966",
"A056239",
"A072774",
"A112798",
"A130091",
"A242031",
"A304442",
"A304678",
"A304686",
"A334965",
"A351294",
"A351295",
"A353832",
"A353833",
"A353837",
"A353838",
"A353848",
"A353851",
"A354584",
"A381636",
"A381717",
"A381871",
"A382857",
"A382876",
"A382877",
"A382879",
"A383013",
"A383015",
"A383094",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-04-22T08:05:54 |
oeisdata/seq/A383/A383100.seq
|
ba5e8240daa8f8a75f70fcc3e55f42e0
|
A383101
|
Number of compositions of n such that any part 1 can be m different colors where m is the largest part of the composition.
|
[
"1",
"1",
"2",
"6",
"21",
"77",
"294",
"1178",
"4978",
"22191",
"104146",
"513385",
"2653003",
"14349804",
"81125023",
"478686413",
"2943737942",
"18838530436",
"125268429098",
"864256288435",
"6177766228172",
"45689641883377",
"349173454108407",
"2754058599745239",
"22393206702946457",
"187501022603071090"
] |
[
"nonn",
"easy"
] | 16 | 0 | 3 |
[
"A011782",
"A088305",
"A105422",
"A171632",
"A363262",
"A382991",
"A382992",
"A383101"
] | null |
John Tyler Rascoe, Apr 16 2025
| 2025-04-24T09:34:38 |
oeisdata/seq/A383/A383101.seq
|
b5afef39cfb3284a7f489cb2cb1c5eb8
|
A383102
|
Cubes that are concatenations of two or more positive cubes.
|
[
"27818127",
"27818127000",
"216648648216",
"27818127000000",
"125112533753375",
"216648648216000",
"27000810008100027",
"27818127000000000",
"125112533753375000",
"216648648216000000",
"27000810008100027000",
"27818127000000000000",
"125112533753375000000",
"216000648000648000216",
"216648648216000000000"
] |
[
"nonn",
"base"
] | 4 | 1 | 1 |
[
"A009421",
"A019548",
"A383102"
] | null |
Robert Israel, Apr 16 2025
| 2025-04-17T09:51:47 |
oeisdata/seq/A383/A383102.seq
|
6dd328713a6c8070b7f21b00492558fa
|
A383103
|
Numbers k such that A008683(k) = 0 and A382883(k) = 1.
|
[
"4",
"8",
"9",
"25",
"27",
"32",
"49",
"121",
"125",
"128",
"169",
"243",
"289",
"343",
"361",
"529",
"841",
"900",
"961",
"1331",
"1369",
"1681",
"1764",
"1849",
"2048",
"2187",
"2197",
"2209",
"2809",
"3125",
"3481",
"3721",
"4356",
"4489",
"4900",
"4913",
"5041",
"5329",
"6084",
"6241",
"6859",
"6889",
"7921",
"8192",
"9409",
"10201",
"10404",
"10609"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A008683",
"A053810",
"A382883",
"A383103"
] | null |
Peter Luschny, Apr 17 2025
| 2025-04-29T16:52:25 |
oeisdata/seq/A383/A383103.seq
|
92d0ecb8fc17639dd85815c5cd094fca
|
A383104
|
Inverse Möbius transform of A382883.
|
[
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"2",
"1",
"0",
"2",
"1",
"0",
"0",
"0",
"3",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"2",
"1",
"1",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"2",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"2",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"2",
"2",
"0",
"0",
"1",
"0",
"0"
] |
[
"nonn"
] | 10 | 1 | 8 |
[
"A366988",
"A382883",
"A383104"
] | null |
Peter Luschny, Apr 16 2025
| 2025-04-29T16:52:21 |
oeisdata/seq/A383/A383104.seq
|
2857988b698cde5be263397f38527045
|
A383105
|
Numbers k such that A382883(k) != A008683(k).
|
[
"4",
"8",
"9",
"25",
"27",
"32",
"36",
"49",
"64",
"100",
"121",
"125",
"128",
"169",
"196",
"216",
"225",
"243",
"289",
"343",
"361",
"441",
"484",
"529",
"676",
"729",
"841",
"900",
"961",
"1000",
"1024",
"1089",
"1156",
"1225",
"1331",
"1369",
"1444",
"1521",
"1681",
"1764",
"1849",
"2048",
"2116",
"2187",
"2197",
"2209",
"2601",
"2744",
"2809",
"3025"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A008683",
"A382883",
"A383018",
"A383105"
] | null |
Peter Luschny, Apr 16 2025
| 2025-04-29T16:52:17 |
oeisdata/seq/A383/A383105.seq
|
f4b9fee77f252f98315f7285240413b9
|
A383106
|
Numbers k such that A382883(k) != 0.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"15",
"17",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"41",
"42",
"43",
"46",
"47",
"49",
"51",
"53",
"55",
"57",
"58",
"59",
"61",
"62",
"64",
"65",
"66",
"67",
"69",
"70",
"71",
"73",
"74",
"77",
"78",
"79",
"82",
"83",
"85",
"86",
"87",
"89",
"91",
"93",
"94",
"95",
"97",
"100"
] |
[
"nonn"
] | 8 | 1 | 2 |
[
"A005117",
"A062770",
"A072774",
"A085924",
"A242414",
"A304449",
"A382883",
"A382943",
"A383016",
"A383017",
"A383106"
] | null |
Peter Luschny, Apr 16 2025
| 2025-04-29T16:52:12 |
oeisdata/seq/A383/A383106.seq
|
311208a891839bbf03261faa355aa43e
|
A383107
|
Number of king permutations on n elements avoiding the mesh pattern (12, {(0,0),(0,1),(0,2),(1,0),(1,2),(2,0),(2,1)}).
|
[
"1",
"1",
"0",
"0",
"2",
"14",
"88",
"636",
"5174",
"47122",
"475128",
"5257976",
"63381078",
"826817350",
"11607019144",
"174484968604",
"2796703640190",
"47613279070594",
"858080079253440",
"16320196781972904",
"326687694661023774",
"6865553778933359142",
"151139392725808178080",
"3478151644016630307452",
"83516524547918673461238"
] |
[
"nonn",
"easy"
] | 21 | 0 | 5 |
[
"A002464",
"A382644",
"A382645",
"A382651",
"A383040",
"A383107"
] | null |
Dan Li, Apr 22 2025
| 2025-04-25T15:13:08 |
oeisdata/seq/A383/A383107.seq
|
8358f25a509f095b9968abb4ef9739e8
|
A383108
|
Number of crystallographic orbits in n dimensions, counting enantiomorphic pairs as distinct.
|
[
"1",
"2",
"30",
"427"
] |
[
"nonn",
"hard",
"more",
"nice"
] | 4 | 0 | 2 |
[
"A006227",
"A383108"
] | null |
Andrey Zabolotskiy, Apr 16 2025
| 2025-04-16T12:28:55 |
oeisdata/seq/A383/A383108.seq
|
4f7999a0b646ec07502df83e46cdc4fe
|
A383109
|
Consider the isosceles triangle whose vertices are the Gaussian integers z1=0, z2 = x+i*y, z3=x-i*y. The sequence lists the pairs of positive integer foci (f_i, f_j), f_i < f_j of Steiner inellipse for some z2, z3.
|
[
"3",
"5",
"6",
"10",
"9",
"15",
"13",
"15",
"12",
"20",
"15",
"25",
"18",
"30",
"15",
"37",
"15",
"41",
"17",
"39",
"21",
"35",
"26",
"30",
"24",
"40",
"27",
"45",
"25",
"51",
"30",
"50",
"39",
"45",
"33",
"55",
"36",
"60",
"29",
"75",
"30",
"74",
"39",
"65",
"51",
"53",
"30",
"82",
"34",
"78",
"42",
"70",
"52",
"60",
"45",
"75",
"39",
"85",
"48",
"80",
"51",
"85",
"65",
"75",
"54",
"90",
"61"
] |
[
"nonn"
] | 25 | 1 | 1 | null | null |
Michel Lagneau, Apr 16 2025
| 2025-04-25T23:39:55 |
oeisdata/seq/A383/A383109.seq
|
7ca113f7ef525d3c89db981021642aae
|
A383110
|
Numbers whose prime indices have a permutation with all equal run-sums.
|
[
"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",
"109",
"112",
"113",
"121",
"125",
"127",
"128",
"131",
"137",
"139",
"144",
"149",
"151",
"157",
"163",
"167",
"169",
"173"
] |
[
"nonn"
] | 6 | 1 | 2 |
[
"A047966",
"A056239",
"A072774",
"A112798",
"A130091",
"A242031",
"A304442",
"A304678",
"A304686",
"A334965",
"A351295",
"A353832",
"A353833",
"A353837",
"A353838",
"A353848",
"A353851",
"A354584",
"A381636",
"A381717",
"A381871",
"A382857",
"A382876",
"A382877",
"A382879",
"A383013",
"A383015",
"A383095",
"A383096",
"A383097",
"A383098",
"A383099",
"A383100",
"A383110"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-04-22T09:10:03 |
oeisdata/seq/A383/A383110.seq
|
f4dab0229eb5ac0f42965fae041cdd49
|
A383111
|
Number of integer partitions of n having more than one permutation with all distinct run-lengths.
|
[
"0",
"0",
"0",
"0",
"1",
"3",
"3",
"8",
"9",
"13",
"17",
"26",
"27",
"43",
"51",
"61",
"78",
"103",
"115",
"153",
"174",
"213",
"255",
"316",
"354",
"442",
"508",
"610",
"701",
"848",
"950",
"1153",
"1303",
"1539",
"1750",
"2075",
"2318",
"2738",
"3081"
] |
[
"nonn",
"hard",
"more"
] | 9 | 0 | 6 |
[
"A000005",
"A000009",
"A000041",
"A000961",
"A008284",
"A008289",
"A047966",
"A047993",
"A098859",
"A100471",
"A100881",
"A100882",
"A100883",
"A130091",
"A239455",
"A329738",
"A329739",
"A351293",
"A351294",
"A351295",
"A353744",
"A353837",
"A381432",
"A381433",
"A381541",
"A381636",
"A381717",
"A382771",
"A382857",
"A382915",
"A383013",
"A383089",
"A383090",
"A383092",
"A383094",
"A383097",
"A383111",
"A383113"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-05-04T06:35:13 |
oeisdata/seq/A383/A383111.seq
|
7ca79fbc49ac34cf853fca64fce00446
|
A383112
|
Numbers whose multiset of prime indices has exactly one permutation with all equal run-lengths.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"9",
"11",
"12",
"13",
"16",
"17",
"18",
"19",
"20",
"23",
"25",
"27",
"28",
"29",
"31",
"32",
"37",
"41",
"43",
"44",
"45",
"47",
"49",
"50",
"52",
"53",
"59",
"61",
"63",
"64",
"67",
"68",
"71",
"72",
"73",
"75",
"76",
"79",
"81",
"83",
"89",
"92",
"97",
"98",
"99",
"101",
"103",
"107",
"108",
"109",
"113",
"116",
"117",
"121",
"124",
"125",
"127"
] |
[
"nonn"
] | 7 | 1 | 2 |
[
"A000961",
"A001221",
"A001222",
"A047966",
"A048767",
"A056239",
"A072774",
"A098859",
"A112798",
"A130091",
"A329738",
"A329739",
"A351294",
"A351295",
"A351596",
"A353744",
"A353833",
"A381434",
"A381540",
"A382771",
"A382857",
"A382877",
"A382879",
"A382915",
"A383089",
"A383090",
"A383091",
"A383092",
"A383094",
"A383095",
"A383099",
"A383100",
"A383112"
] | null |
Gus Wiseman, Apr 18 2025
| 2025-04-21T13:25:01 |
oeisdata/seq/A383/A383112.seq
|
922cb4e3d8adb6dcb1fb34469021f2c5
|
A383113
|
Numbers whose prime indices have more than one permutation with all distinct run-lengths.
|
[
"12",
"18",
"20",
"24",
"28",
"40",
"44",
"45",
"48",
"50",
"52",
"54",
"56",
"63",
"68",
"72",
"75",
"76",
"80",
"88",
"92",
"96",
"98",
"99",
"104",
"108",
"112",
"116",
"117",
"124",
"135",
"136",
"144",
"147",
"148",
"152",
"153",
"160",
"162",
"164",
"171",
"172",
"175",
"176",
"184",
"188",
"189",
"192",
"200",
"207",
"208",
"212",
"216",
"224",
"232",
"236",
"242"
] |
[
"nonn"
] | 5 | 1 | 1 |
[
"A000005",
"A000720",
"A000961",
"A001221",
"A001222",
"A044813",
"A047966",
"A048767",
"A056239",
"A098859",
"A112798",
"A130091",
"A239455",
"A242882",
"A329739",
"A351013",
"A351202",
"A351291",
"A351293",
"A351294",
"A351295",
"A351596",
"A381432",
"A381433",
"A381435",
"A382771",
"A382772",
"A382857",
"A382876",
"A382878",
"A382879",
"A383089",
"A383090",
"A383091",
"A383092",
"A383111",
"A383112",
"A383113"
] | null |
Gus Wiseman, Apr 20 2025
| 2025-04-22T09:09:57 |
oeisdata/seq/A383/A383113.seq
|
3051d0e94cd40e1c9fdbb3fdb52cee23
|
A383114
|
Triprimes that are concatenations of three consecutive primes.
|
[
"357",
"131719",
"434753",
"475359",
"717379",
"97101103",
"101103107",
"103107109",
"109113127",
"139149151",
"151157163",
"157163167",
"163167173",
"167173179",
"173179181",
"193197199",
"197199211",
"199211223",
"227229233",
"241251257",
"281283293",
"293307311",
"331337347",
"347349353",
"367373379",
"397401409",
"461463467",
"487491499"
] |
[
"nonn",
"base"
] | 24 | 1 | 1 |
[
"A014612",
"A132903",
"A383114"
] | null |
Will Gosnell and Robert Israel, May 23 2025
| 2025-06-09T14:42:02 |
oeisdata/seq/A383/A383114.seq
|
2d151fe08765dc4944da99b38980c274
|
A383115
|
a(n) is the number of values m that satisfy floor(sqrt(m)) = n and A381054(m) = 1.
|
[
"0",
"3",
"4",
"2",
"0",
"2",
"6",
"8",
"5",
"3",
"0",
"3",
"7",
"10",
"11",
"9",
"7",
"2",
"0",
"2",
"8",
"12",
"13",
"15",
"12",
"10",
"8",
"3",
"0",
"3",
"8",
"11",
"16",
"19",
"18",
"16",
"13",
"11",
"7",
"3",
"0",
"2",
"7",
"11",
"16",
"18",
"24",
"22",
"21",
"17",
"12",
"12",
"8",
"3",
"0",
"3",
"7",
"13",
"15",
"18",
"25",
"24",
"28",
"22",
"21",
"18",
"13",
"11",
"7",
"3",
"0",
"3",
"6",
"11",
"16",
"20",
"23",
"27",
"29",
"30"
] |
[
"nonn"
] | 26 | 1 | 2 |
[
"A033676",
"A033677",
"A381054",
"A382286",
"A382306",
"A383115"
] | null |
Hassan Baloui, Apr 16 2025
| 2025-05-14T16:28:25 |
oeisdata/seq/A383/A383115.seq
|
3c615f28c8a3bf9fb6f850b131a45c93
|
A383116
|
Permissible phase values, in degrees, associated with restricted Fourier amplitudes obtained via Fourier transform of a three-dimensional crystal lattice.
|
[
"0",
"30",
"45",
"60",
"90",
"120",
"135",
"150",
"180",
"210",
"225",
"240",
"270",
"300",
"315",
"330"
] |
[
"nonn",
"fini",
"full"
] | 19 | 1 | 2 |
[
"A047229",
"A383116"
] | null |
Ambarneil Saha, Apr 16 2025
| 2025-04-24T01:55:42 |
oeisdata/seq/A383/A383116.seq
|
9bdbfbeca8c01192df11f63d942c6d5a
|
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