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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A364901
|
The n-volume of the unit regular n-simplex is sqrt(A364900(n))/a(n), with A364900(n) being squarefree.
|
[
"1",
"1",
"4",
"12",
"96",
"480",
"5760",
"20160",
"215040",
"5806080",
"116121600",
"1277337600",
"30656102400",
"398529331200",
"11158821273600",
"83691159552000",
"5356234211328000",
"30351993864192000",
"3278015337332736000",
"62282291409321984000",
"2491291656372879360000",
"52317124783830466560000"
] |
[
"nonn",
"easy"
] | 17 | 0 | 3 |
[
"A000188",
"A020829",
"A120011",
"A364895",
"A364900",
"A364901"
] | null |
Jianing Song, Aug 12 2023
| 2023-08-20T10:51:41 |
oeisdata/seq/A364/A364901.seq
|
9ac8deb775cadb46f0be05a7ae3205e2
|
A364902
|
Let x, y be the greatest exponents of 2, 3 respectively such that 2^x, 3^y do not exceed n and let k_2, k_3 be n - 2^x, and n - 3^y respectively. Then for n such that k_2 = 0 or k_3 = 0, a(n) = n, else a(n) is the least novel number Min{p*a(k_2), q*a(k_3)}, where p, q are primes not equal to either 2 or 3.
|
[
"1",
"2",
"3",
"4",
"5",
"10",
"15",
"8",
"9",
"7",
"14",
"20",
"25",
"35",
"50",
"16",
"11",
"22",
"21",
"28",
"55",
"70",
"75",
"40",
"45",
"49",
"27",
"13",
"26",
"33",
"44",
"32",
"17",
"34",
"39",
"52",
"65",
"98",
"100",
"56",
"63",
"77",
"80",
"121",
"110",
"105",
"140",
"112",
"143",
"154",
"147",
"196",
"245",
"135",
"91",
"130",
"165",
"220",
"160",
"85",
"170",
"195",
"260",
"64",
"19",
"38",
"51",
"68"
] |
[
"nonn"
] | 54 | 1 | 2 |
[
"A005940",
"A006899",
"A047253",
"A108906",
"A356867",
"A364611",
"A364628",
"A364902"
] | null |
David James Sycamore and Michael De Vlieger Sep 21 2023
| 2024-07-28T09:19:10 |
oeisdata/seq/A364/A364902.seq
|
19cd1be904f2ed7ccd0ff8a637e4612f
|
A364903
|
Numbers k such that A060778(k) = 7.
|
[
"529983",
"1890624",
"4322240",
"9641024",
"23357888",
"30636224",
"34000560",
"52751168",
"68707520",
"100340288",
"114896960",
"153561663",
"181521728",
"213890624",
"244109375",
"252905408",
"301890624",
"310852160",
"348083648",
"423412928",
"444661568",
"510759999",
"511890624",
"520524224",
"568393280"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A000005",
"A060778",
"A364890",
"A364903"
] | null |
Seiichi Manyama, Aug 12 2023
| 2023-08-12T11:11:50 |
oeisdata/seq/A364/A364903.seq
|
717ba6412be3012f8eedfc96fd441af4
|
A364904
|
a(n) = |Aut^n(C_32)|: order of the group obtained by applying G -> Aut(G) n times to the cyclic group of order 32.
|
[
"32",
"16",
"16",
"64",
"384",
"1536",
"6144"
] |
[
"nonn",
"hard",
"more"
] | 15 | 0 | 1 |
[
"A331921",
"A364904",
"A364917",
"A365051"
] | null |
Jianing Song, Aug 12 2023
| 2023-08-19T16:12:22 |
oeisdata/seq/A364/A364904.seq
|
407b937a480b9db86b1f96a1d89e2c46
|
A364905
|
Sphenic numbers with no squarefree neighbors.
|
[
"170",
"530",
"595",
"638",
"651",
"665",
"874",
"962",
"1015",
"1209",
"1495",
"1551",
"1695",
"1749",
"1826",
"1855",
"2035",
"2255",
"2365",
"2431",
"2451",
"2465",
"2526",
"2674",
"2717",
"2726",
"2737",
"2739",
"2751",
"2755",
"2782",
"2849",
"2874",
"3115",
"3145",
"3178",
"3363",
"3367",
"3451",
"3619",
"3655",
"3689",
"3835",
"3905",
"3970",
"4015",
"4017",
"4047",
"4085"
] |
[
"nonn"
] | 19 | 1 | 1 |
[
"A007304",
"A013929",
"A281192",
"A364025",
"A364905"
] | null |
Massimo Kofler, Aug 12 2023
| 2023-09-06T21:13:53 |
oeisdata/seq/A364/A364905.seq
|
30325e133b97bbad5718a2764f26de9b
|
A364906
|
Number of ways to write A056239(n) as a nonnegative linear combination of the multiset of prime indices of n.
|
[
"1",
"1",
"1",
"3",
"1",
"2",
"1",
"10",
"3",
"2",
"1",
"9",
"1",
"2",
"1",
"35",
"1",
"6",
"1",
"9",
"2",
"2",
"1",
"34",
"3",
"2",
"10",
"10",
"1",
"7",
"1",
"126",
"1",
"2",
"1",
"30",
"1",
"2",
"2",
"39",
"1",
"6",
"1",
"11",
"3",
"2",
"1",
"130",
"3",
"6",
"1",
"12",
"1",
"20",
"1",
"46",
"2",
"2",
"1",
"31",
"1",
"2",
"9",
"462",
"2",
"7",
"1",
"13",
"1",
"6",
"1",
"120",
"1",
"2",
"4",
"14",
"1",
"7",
"1"
] |
[
"nonn"
] | 6 | 1 | 4 |
[
"A000012",
"A001221",
"A001222",
"A056239",
"A112798",
"A116861",
"A275972",
"A319319",
"A320340",
"A364350",
"A364839",
"A364906",
"A364910",
"A364912",
"A364914",
"A364916",
"A365002",
"A365003",
"A365004"
] | null |
Gus Wiseman, Aug 22 2023
| 2023-08-24T09:30:19 |
oeisdata/seq/A364/A364906.seq
|
e545845676d73f471aadf6023583884e
|
A364907
|
Number of ways to write n as a nonnegative linear combination of an integer partition of n.
|
[
"1",
"1",
"4",
"13",
"50",
"179",
"696",
"2619",
"10119",
"38867",
"150407",
"582065",
"2260367",
"8786919",
"34225256",
"133471650",
"521216494",
"2037608462",
"7974105052",
"31235316275",
"122457794193",
"480473181271",
"1886555402750",
"7412471695859",
"29142658077266",
"114643347181003",
"451237737215201"
] |
[
"nonn"
] | 16 | 0 | 3 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A116861",
"A320340",
"A323092",
"A364350",
"A364839",
"A364906",
"A364907",
"A364908",
"A364909",
"A364910",
"A364911",
"A364912",
"A364913",
"A364914",
"A364915",
"A364916",
"A365002",
"A365003",
"A365004"
] | null |
Gus Wiseman, Aug 18 2023
| 2024-01-28T20:57:15 |
oeisdata/seq/A364/A364907.seq
|
eb2da7f6b39e43e43f5a3dcc6a2cfe87
|
A364908
|
Number of ways to write n as a nonnegative linear combination of an integer composition of n.
|
[
"1",
"1",
"4",
"15",
"70",
"314",
"1542",
"7428",
"36860",
"182911",
"917188",
"4612480",
"23323662",
"118273428",
"601762636",
"3069070533",
"15689123386",
"80356953555",
"412300910566",
"2118715503962",
"10902791722490",
"56175374185014",
"289766946825180",
"1496239506613985",
"7733302967423382"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000009",
"A000041",
"A011782",
"A032020",
"A072574",
"A097805",
"A116861",
"A364350",
"A364839",
"A364906",
"A364907",
"A364908",
"A364909",
"A364910",
"A364911",
"A364912",
"A364914",
"A364916",
"A365002",
"A365004",
"A365067"
] | null |
Gus Wiseman, Aug 22 2023
| 2024-01-28T20:57:10 |
oeisdata/seq/A364/A364908.seq
|
87b85bbd64a5af5013a18b2695429be4
|
A364909
|
Number of ways to write n as a nonnegative linear combination of a strict integer composition of n.
|
[
"1",
"1",
"1",
"5",
"5",
"7",
"51",
"45",
"89",
"109",
"709",
"733",
"1495",
"1935",
"3119",
"13785",
"16611",
"29035",
"44611",
"68733",
"95193",
"372897",
"435007",
"781345",
"1177181",
"1866659",
"2600537",
"3906561",
"12052631",
"14610799",
"25407653",
"37652265",
"59943351",
"84060993",
"128112805",
"172172117",
"480353257",
"578740011"
] |
[
"nonn"
] | 13 | 0 | 4 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A011782",
"A032020",
"A072574",
"A097805",
"A116861",
"A364350",
"A364839",
"A364906",
"A364907",
"A364908",
"A364909",
"A364910",
"A364912",
"A364914",
"A364916",
"A365002",
"A365004"
] | null |
Gus Wiseman, Aug 18 2023
| 2023-12-30T21:23:37 |
oeisdata/seq/A364/A364909.seq
|
360bf0da96be9a9f3407576854fe5b23
|
A364910
|
Number of integer partitions of 2n whose distinct parts sum to n.
|
[
"1",
"1",
"1",
"3",
"3",
"4",
"12",
"11",
"19",
"23",
"54",
"55",
"103",
"115",
"178",
"289",
"389",
"507",
"757",
"970",
"1343",
"2033",
"2579",
"3481",
"4840",
"6312",
"8317",
"10998",
"15459",
"19334",
"26368",
"33480",
"44709",
"56838",
"74878",
"93369",
"128109",
"157024",
"206471",
"258357",
"338085",
"417530",
"544263",
"669388",
"859570",
"1082758",
"1367068"
] |
[
"nonn"
] | 24 | 0 | 4 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A116861",
"A237113",
"A320340",
"A323092",
"A364350",
"A364839",
"A364906",
"A364907",
"A364908",
"A364909",
"A364910",
"A364911",
"A364912",
"A364914",
"A364916",
"A365002",
"A365003"
] | null |
Gus Wiseman, Aug 16 2023
| 2023-09-14T01:12:13 |
oeisdata/seq/A364/A364910.seq
|
a3121cab80de687787d4179822493ff6
|
A364911
|
Triangle read by rows where T(n,k) is the number of integer partitions with sum <= n and with distinct parts summing to k.
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"3",
"1",
"2",
"1",
"4",
"2",
"3",
"2",
"1",
"5",
"2",
"5",
"3",
"3",
"1",
"6",
"3",
"8",
"4",
"4",
"4",
"1",
"7",
"3",
"11",
"6",
"6",
"6",
"5",
"1",
"8",
"4",
"14",
"9",
"8",
"10",
"7",
"6",
"1",
"9",
"4",
"19",
"11",
"11",
"14",
"11",
"9",
"8",
"1",
"10",
"5",
"23",
"14",
"15",
"21",
"15",
"14",
"11",
"10",
"1",
"11",
"5",
"28",
"17",
"19",
"28",
"22",
"20",
"17",
"15",
"12"
] |
[
"nonn",
"tabl"
] | 10 | 0 | 5 |
[
"A000009",
"A000012",
"A000027",
"A000041",
"A000070",
"A002865",
"A008284",
"A008289",
"A008619",
"A066328",
"A114638",
"A116608",
"A116861",
"A137719",
"A179009",
"A236912",
"A237113",
"A237667",
"A364350",
"A364839",
"A364910",
"A364911",
"A364912",
"A364913",
"A364915",
"A364916",
"A365002",
"A365004"
] | null |
Gus Wiseman, Aug 27 2023
| 2024-01-11T22:56:54 |
oeisdata/seq/A364/A364911.seq
|
e26c25f48ac701a1cc9caf3c5dc2a5a8
|
A364912
|
Triangle read by rows where T(n,k) is the number of ways to write n as a positive linear combination of an integer partition of k.
|
[
"1",
"0",
"1",
"0",
"1",
"2",
"0",
"1",
"2",
"3",
"0",
"1",
"4",
"4",
"5",
"0",
"1",
"4",
"8",
"7",
"7",
"0",
"1",
"6",
"13",
"17",
"12",
"11",
"0",
"1",
"6",
"18",
"28",
"30",
"19",
"15",
"0",
"1",
"8",
"24",
"50",
"58",
"53",
"30",
"22"
] |
[
"nonn",
"tabl"
] | 13 | 0 | 6 |
[
"A000007",
"A000009",
"A000012",
"A000041",
"A000070",
"A006951",
"A008284",
"A008289",
"A052928",
"A116861",
"A237113",
"A364272",
"A364350",
"A364839",
"A364907",
"A364910",
"A364911",
"A364912",
"A364913",
"A364914",
"A364915",
"A365002",
"A365004"
] | null |
Gus Wiseman, Aug 20 2023
| 2024-12-13T09:41:51 |
oeisdata/seq/A364/A364912.seq
|
9247f1de90c2b57c47d169b6fca53ab8
|
A364913
|
Number of integer partitions of n having a part that can be written as a nonnegative linear combination of the other (possibly equal) parts.
|
[
"0",
"0",
"1",
"2",
"4",
"5",
"10",
"12",
"20",
"27",
"39",
"51",
"74",
"95",
"130",
"169",
"225",
"288",
"378",
"479",
"617",
"778",
"990",
"1239",
"1560",
"1938",
"2419",
"2986",
"3696",
"4538",
"5575",
"6810",
"8319",
"10102",
"12274",
"14834",
"17932",
"21587",
"25963",
"31120",
"37275",
"44513",
"53097",
"63181",
"75092",
"89030",
"105460",
"124647"
] |
[
"nonn"
] | 7 | 0 | 4 |
[
"A000009",
"A000041",
"A008284",
"A008289",
"A085489",
"A116861",
"A151897",
"A236912",
"A237113",
"A237667",
"A275972",
"A326083",
"A364272",
"A364346",
"A364350",
"A364670",
"A364839",
"A364913",
"A364914",
"A364915",
"A364916",
"A365006",
"A365068"
] | null |
Gus Wiseman, Aug 20 2023
| 2023-10-24T10:45:29 |
oeisdata/seq/A364/A364913.seq
|
dc41449c7bfbdf1dd5b23d382297bdb8
|
A364914
|
Number of subsets of {1..n} such that some element can be written as a nonnegative linear combination of the others.
|
[
"0",
"0",
"1",
"3",
"9",
"20",
"48",
"101",
"219",
"454",
"944",
"1917",
"3925",
"7915",
"16004",
"32188",
"64751",
"129822",
"260489",
"521672",
"1045060",
"2091808",
"4187047",
"8377255",
"16762285",
"33531228",
"67077485",
"134170217",
"268371678",
"536772231",
"1073611321",
"2147282291",
"4294697258",
"8589527163",
"17179321094"
] |
[
"nonn"
] | 23 | 0 | 4 |
[
"A007865",
"A011782",
"A085489",
"A088809",
"A093971",
"A103580",
"A116861",
"A124506",
"A151897",
"A237113",
"A237668",
"A308546",
"A324736",
"A326020",
"A326080",
"A326083",
"A364272",
"A364349",
"A364350",
"A364534",
"A364756",
"A364839",
"A364913",
"A364914",
"A365043",
"A365044",
"A365046"
] | null |
Gus Wiseman, Aug 17 2023
| 2024-12-13T09:39:31 |
oeisdata/seq/A364/A364914.seq
|
adb9c574ade3982afc22fd8a5485c10f
|
A364915
|
Number of integer partitions of n such that no distinct part can be written as a nonnegative linear combination of other distinct parts.
|
[
"1",
"1",
"2",
"2",
"3",
"3",
"4",
"5",
"6",
"7",
"8",
"12",
"10",
"16",
"16",
"19",
"21",
"29",
"25",
"37",
"35",
"44",
"46",
"60",
"55",
"75",
"71",
"90",
"90",
"114",
"110",
"140",
"138",
"167",
"163",
"217",
"201",
"248",
"241",
"298",
"303",
"359",
"355",
"425",
"422",
"520",
"496",
"594",
"603",
"715",
"706",
"834",
"826",
"968",
"972",
"1153",
"1147",
"1334",
"1315",
"1530"
] |
[
"nonn"
] | 22 | 0 | 3 |
[
"A000009",
"A000041",
"A007865",
"A008284",
"A008289",
"A085489",
"A093971",
"A108917",
"A116861",
"A151897",
"A236912",
"A237113",
"A237667",
"A323092",
"A326083",
"A364272",
"A364350",
"A364533",
"A364839",
"A364910",
"A364911",
"A364912",
"A364913",
"A364914",
"A364915",
"A364916",
"A365006",
"A365068",
"A365072"
] | null |
Gus Wiseman, Aug 22 2023
| 2023-09-25T18:22:18 |
oeisdata/seq/A364/A364915.seq
|
a0e989d8c87e70f5f1d58a7202c31da6
|
A364916
|
Array read by antidiagonals downwards where A(n,k) is the number of ways to write n as a nonnegative linear combination of the parts of a strict integer partition of k.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"2",
"0",
"1",
"0",
"2",
"1",
"1",
"1",
"0",
"3",
"1",
"2",
"0",
"1",
"0",
"4",
"1",
"1",
"3",
"1",
"1",
"0",
"5",
"2",
"2",
"2",
"3",
"0",
"1",
"0",
"6",
"2",
"4",
"2",
"3",
"3",
"1",
"1",
"0",
"8",
"3",
"4",
"4",
"3",
"2",
"5",
"0",
"1",
"0",
"10",
"3",
"5",
"4",
"7",
"4",
"3",
"4",
"1",
"1",
"0",
"12",
"5",
"6",
"6",
"7",
"7",
"4",
"3",
"5",
"0",
"1",
"0",
"15",
"5",
"9",
"7",
"8",
"6",
"12",
"3",
"4",
"6",
"1",
"1",
"0"
] |
[
"nonn",
"tabl"
] | 17 | 0 | 7 |
[
"A000007",
"A000009",
"A000012",
"A000035",
"A000041",
"A007865",
"A008284",
"A008289",
"A066328",
"A085489",
"A096765",
"A108917",
"A116861",
"A137719",
"A237113",
"A323092",
"A364272",
"A364350",
"A364533",
"A364670",
"A364839",
"A364907",
"A364910",
"A364911",
"A364912",
"A364913",
"A364916",
"A365002",
"A365004",
"A365005"
] | null |
Gus Wiseman, Aug 17 2023
| 2024-07-09T19:41:38 |
oeisdata/seq/A364/A364916.seq
|
0ab0d601aa7d8474d7a96f4c885e41ce
|
A364917
|
For each n, if the sequence defined by G_0 = C_n, G_k = Aut(G_{k-1}) for k >= 1 stabilizes, then a(n) is the order of G_k for sufficiently large k; otherwise a(n) = 0. Here C_n is the cyclic group of order n.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"6",
"6",
"1",
"8",
"8",
"8",
"1",
"1",
"8",
"12",
"1",
"1",
"336",
"8",
"6",
"1",
"12",
"12",
"8",
"8"
] |
[
"nonn",
"hard",
"more"
] | 28 | 1 | 8 |
[
"A117729",
"A331921",
"A364917"
] | null |
Jianing Song, Aug 12 2023
| 2023-08-16T22:15:54 |
oeisdata/seq/A364/A364917.seq
|
db502ee0fc0e7871287ea25503197148
|
A364918
|
a(1) = 1; for n >= 2, a(n) = a(n - GCD(n - 1, a(n - 1))) + GCD(n, a(n - 1)).
|
[
"1",
"2",
"2",
"4",
"2",
"4",
"3",
"4",
"3",
"4",
"4",
"8",
"4",
"6",
"7",
"8",
"4",
"6",
"5",
"10",
"5",
"6",
"6",
"12",
"5",
"6",
"8",
"12",
"6",
"12",
"6",
"8",
"6",
"8",
"7",
"7",
"8",
"10",
"9",
"9",
"10",
"12",
"9",
"10",
"14",
"16",
"15",
"18",
"10",
"20",
"11",
"12",
"11",
"12",
"11",
"15",
"18",
"13",
"14",
"16",
"19",
"20",
"20",
"24",
"19",
"20",
"20",
"24",
"22",
"24",
"23",
"24",
"11",
"12",
"14",
"16",
"12"
] |
[
"nonn"
] | 21 | 1 | 2 |
[
"A001462",
"A004001",
"A005185",
"A364918",
"A369772"
] | null |
Ctibor O. Zizka, Feb 06 2024
| 2024-02-06T16:23:07 |
oeisdata/seq/A364/A364918.seq
|
365c96e45bae4add7c5f4cd3477d1a7e
|
A364919
|
a(0) = 1; a(n) is the smallest number m not already in the sequence such that rad(m) divides A019565(n).
|
[
"1",
"2",
"3",
"4",
"5",
"8",
"9",
"6",
"7",
"14",
"21",
"12",
"25",
"10",
"15",
"16",
"11",
"22",
"27",
"18",
"55",
"20",
"33",
"24",
"49",
"28",
"63",
"32",
"35",
"40",
"45",
"30",
"13",
"26",
"39",
"36",
"65",
"50",
"75",
"48",
"91",
"52",
"81",
"42",
"125",
"56",
"105",
"54",
"121",
"44",
"99",
"64",
"143",
"80",
"117",
"60",
"77",
"88",
"147",
"66",
"169",
"70",
"135",
"72",
"17",
"34"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A005117",
"A007947",
"A019565",
"A289280",
"A364919"
] | null |
Michael De Vlieger, Aug 30 2023
| 2023-09-03T10:43:59 |
oeisdata/seq/A364/A364919.seq
|
28cd9e28a046c0113f523e8c3d68122a
|
A364920
|
a(n) is the least prime p > prime(n) such that p * prime(n)# + 1 is prime, where q# denotes the product of all primes <= q.
|
[
"3",
"5",
"7",
"11",
"19",
"29",
"29",
"31",
"31",
"31",
"61",
"59",
"71",
"53",
"61",
"149",
"109",
"101",
"197",
"113",
"113",
"139",
"179",
"131",
"233",
"127",
"137",
"113",
"191",
"223",
"191",
"151",
"241",
"311",
"167",
"199",
"167",
"191",
"401",
"227",
"277",
"197",
"257",
"263",
"233",
"277",
"389",
"251",
"263",
"373",
"499",
"503",
"311",
"487",
"433",
"283"
] |
[
"nonn"
] | 16 | 1 | 1 |
[
"A002110",
"A364920"
] | null |
Alain Rocchelli, Aug 12 2023
| 2023-09-16T17:06:25 |
oeisdata/seq/A364/A364920.seq
|
6329ecc38b1a7aeba2dd9f8f467b1fcc
|
A364921
|
Number of conjugacy classes of subgroups of the group GL(2, Z_n) of invertible 2 X 2 matrices mod n.
|
[
"1",
"4",
"16",
"62",
"48",
"109",
"84",
"2265",
"324",
"345",
"114",
"5359",
"217",
"636",
"2540",
"27908",
"218",
"2872",
"272",
"20933",
"4089",
"756",
"169",
"780487",
"892",
"1813",
"3015",
"30562",
"349",
"31419",
"510",
"191856",
"5096",
"1743",
"14139",
"115902",
"685",
"2156",
"13191",
"3764246",
"662",
"51063",
"600",
"38346",
"56222",
"1130",
"271"
] |
[
"nonn"
] | 7 | 1 | 2 |
[
"A000252",
"A066514",
"A364921"
] | null |
Robin Visser, Aug 12 2023
| 2023-08-13T22:40:33 |
oeisdata/seq/A364/A364921.seq
|
1a058e8b69b678e9b080a0bc6b5063ab
|
A364922
|
a(n) is the square of the side length of a simplex whose n-dimensional inner hypervolume is equal to its (n-1)-dimensional surface hypervolume. As a result, the sequence starts at n=2.
|
[
"48",
"216",
"640",
"1500",
"3024",
"5488",
"9216",
"14580",
"22000",
"31944",
"44928",
"61516",
"82320",
"108000",
"139264",
"176868",
"221616",
"274360",
"336000",
"407484",
"489808",
"584016",
"691200",
"812500",
"949104",
"1102248",
"1273216",
"1463340",
"1674000",
"1906624",
"2162688",
"2443716",
"2751280",
"3087000"
] |
[
"easy",
"nonn"
] | 70 | 2 | 1 |
[
"A019582",
"A179824",
"A364922"
] | null |
Matt Moir, Apr 13 2024
| 2024-08-27T13:53:59 |
oeisdata/seq/A364/A364922.seq
|
68ae1024ad933d41a9ee21e336157e0e
|
A364923
|
G.f. satisfies A(x) = 1 + x*A(x)^4 / (1 - 2*x*A(x)^3).
|
[
"1",
"1",
"6",
"48",
"442",
"4419",
"46626",
"511032",
"5761650",
"66394596",
"778518552",
"9258850440",
"111417705702",
"1354135251538",
"16598001854700",
"204945037918800",
"2546849778687138",
"31828936270676172",
"399777371427582024",
"5043824569861127808",
"63892650400004356776"
] |
[
"nonn"
] | 14 | 0 | 3 |
[
"A007564",
"A243659",
"A364923",
"A364924"
] | null |
Seiichi Manyama, Aug 12 2023
| 2024-04-13T03:15:31 |
oeisdata/seq/A364/A364923.seq
|
fa7792283f544dfbc3894f135bd39341
|
A364924
|
G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 - 2*x*A(x)^4).
|
[
"1",
"1",
"7",
"67",
"743",
"8970",
"114445",
"1517976",
"20722023",
"289224355",
"4108588558",
"59207805442",
"863439906413",
"12718638581368",
"188960182480440",
"2828238875318256",
"42605850936335463",
"645497106959662857",
"9829072480785776101",
"150345303724987825021"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A007564",
"A243667",
"A364923",
"A364924"
] | null |
Seiichi Manyama, Aug 12 2023
| 2024-04-13T03:15:50 |
oeisdata/seq/A364/A364924.seq
|
60b6b5d75df10851cbcfd22df0457f8b
|
A364925
|
If the Sylow 2-subgroup of the multiplicative group modulo n is isomorphic to the direct product of (C_(2^i))^(e_i) for 1 <= i <= k, where C_m denotes the cyclic group of order m, then a(n) = Product_{i=1..k} prime(i)^(e_i).
|
[
"1",
"1",
"2",
"2",
"3",
"2",
"2",
"4",
"2",
"3",
"2",
"4",
"3",
"2",
"6",
"6",
"7",
"2",
"2",
"6",
"4",
"2",
"2",
"8",
"3",
"3",
"2",
"4",
"3",
"6",
"2",
"10",
"4",
"7",
"6",
"4",
"3",
"2",
"6",
"12",
"5",
"4",
"2",
"4",
"6",
"2",
"2",
"12",
"2",
"3",
"14",
"6",
"3",
"2",
"6",
"8",
"4",
"3",
"2",
"12",
"3",
"2",
"4",
"14",
"9",
"4",
"2",
"14",
"4",
"6",
"2",
"8",
"5",
"3",
"6",
"4",
"4",
"6",
"2",
"18",
"2",
"5",
"2",
"8",
"21",
"2",
"6",
"8",
"5",
"6"
] |
[
"nonn",
"easy",
"mult"
] | 21 | 1 | 3 |
[
"A000010",
"A000040",
"A007814",
"A364925"
] | null |
Jianing Song, Aug 13 2023
| 2023-08-30T02:15:43 |
oeisdata/seq/A364/A364925.seq
|
bac579cc6ab53ff7f5ab2ddad55e1b60
|
A364926
|
Prime powers (A000961) q such that 2*q+1 is a prime.
|
[
"1",
"2",
"3",
"5",
"8",
"9",
"11",
"23",
"29",
"41",
"53",
"81",
"83",
"89",
"113",
"125",
"128",
"131",
"173",
"179",
"191",
"233",
"239",
"243",
"251",
"281",
"293",
"359",
"419",
"431",
"443",
"491",
"509",
"593",
"641",
"653",
"659",
"683",
"719",
"729",
"743",
"761",
"809",
"911",
"953",
"1013",
"1019",
"1031",
"1049",
"1103",
"1223",
"1229",
"1289",
"1331",
"1409",
"1439",
"1451",
"1481",
"1499"
] |
[
"nonn",
"easy"
] | 9 | 1 | 2 |
[
"A000961",
"A005384",
"A048184",
"A364926"
] | null |
Jianing Song, Aug 13 2023
| 2023-08-13T09:32:49 |
oeisdata/seq/A364/A364926.seq
|
9cfa06e5f35d91bc75904836fe7663f6
|
A364927
|
List of free polyplets in binary code (as defined in A246521), ordered first by number of bits, then by value of the binary code.
|
[
"1",
"3",
"6",
"7",
"11",
"14",
"25",
"56",
"15",
"23",
"27",
"29",
"30",
"46",
"57",
"58",
"75",
"78",
"89",
"92",
"120",
"166",
"177",
"178",
"198",
"209",
"240",
"390",
"452",
"960",
"31",
"47",
"59",
"62",
"79",
"91",
"93",
"94",
"110",
"121",
"122",
"124",
"143",
"167",
"174",
"179",
"181",
"182",
"185",
"186",
"188",
"199",
"206",
"211",
"213",
"230",
"241",
"242"
] |
[
"nonn",
"tabf"
] | 18 | 1 | 2 |
[
"A030222",
"A246521",
"A364927"
] | null |
Pontus von Brömssen, Aug 13 2023
| 2023-12-07T14:53:22 |
oeisdata/seq/A364/A364927.seq
|
0c48715e03ac71c21562384b175eb9b6
|
A364928
|
List of free corner-connected polyominoes in binary code (as defined in A246521), ordered first by number of bits, then by value of the binary code.
|
[
"1",
"6",
"25",
"56",
"57",
"198",
"390",
"452",
"960",
"454",
"962",
"2105",
"3097",
"3128",
"4153",
"7185",
"10296",
"14353",
"15392",
"31744",
"65988",
"966",
"3129",
"6201",
"7193",
"7217",
"7224",
"10297",
"11320",
"14361",
"14392",
"15377",
"15400",
"15408",
"31752",
"31760",
"65990",
"66498",
"66500",
"98502",
"98756",
"99264"
] |
[
"nonn",
"tabf"
] | 14 | 1 | 2 |
[
"A000105",
"A246521",
"A364928"
] | null |
Pontus von Brömssen, Aug 13 2023
| 2023-08-26T03:06:10 |
oeisdata/seq/A364/A364928.seq
|
629bcca8e6348d9f6a6e20c46a5f2591
|
A364929
|
a(0) = 0; for n > 0, if n appears in the sequence then a(n) is the product of the indices of all previous appearances of n. Otherwise a(n) = a(n-1) - n if nonnegative and not already in the sequence, otherwise a(n) = a(n-1) + n.
|
[
"0",
"1",
"3",
"2",
"6",
"11",
"4",
"11",
"19",
"10",
"9",
"35",
"23",
"36",
"22",
"7",
"23",
"40",
"58",
"8",
"28",
"49",
"14",
"192",
"168",
"143",
"117",
"90",
"20",
"49",
"79",
"48",
"16",
"49",
"15",
"11",
"13",
"50",
"12",
"51",
"17",
"58",
"100",
"57",
"101",
"56",
"102",
"55",
"31",
"20097",
"37",
"39",
"91",
"38",
"92",
"47",
"45",
"43",
"738",
"679",
"619",
"558",
"496",
"433",
"369"
] |
[
"nonn"
] | 112 | 0 | 3 |
[
"A005132",
"A340612",
"A362373",
"A364929"
] | null |
Kelvin Voskuijl, Dec 05 2023
| 2024-01-31T11:33:00 |
oeisdata/seq/A364/A364929.seq
|
42e840cb6ffd6a4dfe0719cf37cfc9c0
|
A364930
|
Products of primorials that are squareful but not prime powers.
|
[
"36",
"72",
"144",
"216",
"288",
"432",
"576",
"864",
"900",
"1152",
"1296",
"1728",
"1800",
"2304",
"2592",
"3456",
"3600",
"4608",
"5184",
"5400",
"6912",
"7200",
"7776",
"9216",
"10368",
"10800",
"13824",
"14400",
"15552",
"18432",
"20736",
"21600",
"27000",
"27648",
"28800",
"31104",
"32400",
"36864",
"41472",
"43200",
"44100",
"46656",
"54000"
] |
[
"nonn",
"easy"
] | 35 | 1 | 1 |
[
"A000079",
"A001694",
"A002110",
"A025487",
"A126706",
"A286708",
"A332785",
"A364710",
"A364930"
] | null |
Michael De Vlieger, Dec 12 2023
| 2023-12-16T05:43:35 |
oeisdata/seq/A364/A364930.seq
|
ca9982e1cbb267e71c9b33d851807f3d
|
A364931
|
Decimal expansion of the solution to 1 / (1 + e^(-x)) = x.
|
[
"6",
"5",
"9",
"0",
"4",
"6",
"0",
"6",
"8",
"4",
"0",
"7",
"4",
"0",
"6",
"6",
"6",
"0",
"9",
"8",
"4",
"3",
"8",
"6",
"4",
"9",
"5",
"9",
"2",
"8",
"8",
"6",
"7",
"5",
"5",
"1",
"6",
"9",
"8",
"0",
"9",
"0",
"3",
"3",
"0",
"3",
"5",
"7",
"1",
"1",
"5",
"1",
"8",
"8",
"4",
"8",
"9",
"2",
"9",
"4",
"6",
"3",
"0",
"8",
"0",
"4",
"2",
"2",
"4",
"1",
"1",
"3",
"0",
"4",
"2",
"4",
"2",
"9",
"7",
"5",
"7",
"5",
"7",
"9",
"0",
"3",
"4",
"7",
"3",
"5",
"6",
"4",
"8",
"2",
"8",
"2",
"0",
"1",
"0",
"5"
] |
[
"nonn",
"cons"
] | 11 | 0 | 1 | null | null |
Michal Paulovic, Aug 13 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364931.seq
|
a26604364065814b77fa907a24403ccf
|
A364932
|
a(n) = phi(psi(n)).
|
[
"1",
"2",
"2",
"2",
"2",
"4",
"4",
"4",
"4",
"6",
"4",
"8",
"6",
"8",
"8",
"8",
"6",
"12",
"8",
"12",
"16",
"12",
"8",
"16",
"8",
"12",
"12",
"16",
"8",
"24",
"16",
"16",
"16",
"18",
"16",
"24",
"18",
"16",
"24",
"24",
"12",
"32",
"20",
"24",
"24",
"24",
"16",
"32",
"24",
"24",
"24",
"24",
"18",
"36",
"24",
"32",
"32",
"24",
"16",
"48",
"30",
"32",
"32",
"32",
"24",
"48",
"32",
"36",
"32",
"48",
"24"
] |
[
"nonn",
"look"
] | 21 | 1 | 2 |
[
"A000010",
"A001615",
"A293713",
"A364631",
"A364932"
] | null |
Torlach Rush, Aug 13 2023
| 2024-02-13T14:33:18 |
oeisdata/seq/A364/A364932.seq
|
940e97df8696e834cde0f8187ab432b6
|
A364933
|
a(n) = Sum_{k=1..n} A191898(n,k)*[A191904(n,k) = A191898(n,k)].
|
[
"0",
"-1",
"-1",
"0",
"-1",
"-2",
"-1",
"2",
"3",
"-2",
"-1",
"0",
"-1",
"-2",
"1",
"6",
"-1",
"2",
"-1",
"2",
"3",
"-2",
"-1",
"4",
"15",
"-2",
"15",
"4",
"-1",
"0",
"-1",
"14",
"7",
"-2",
"13",
"8",
"-1",
"-2",
"9",
"10",
"-1",
"2",
"-1",
"8",
"17",
"-2",
"-1",
"12",
"35",
"14",
"13",
"10",
"-1",
"14",
"25",
"16",
"15",
"-2",
"-1",
"8",
"-1",
"-2",
"27",
"30",
"31",
"6",
"-1",
"14",
"19",
"12"
] |
[
"sign"
] | 9 | 1 | 6 |
[
"A008472",
"A057859",
"A191898",
"A191904",
"A364933"
] | null |
Mats Granvik, Aug 13 2023
| 2023-09-13T23:11:54 |
oeisdata/seq/A364/A364933.seq
|
6481f528153c4272f80ee7fa82f07886
|
A364934
|
a(n+1) = 1 + number of previous terms that share a factor > 1 with a(n); a(1) = 2.
|
[
"2",
"2",
"3",
"2",
"4",
"5",
"2",
"6",
"8",
"8",
"9",
"4",
"10",
"12",
"14",
"13",
"2",
"14",
"15",
"8",
"16",
"17",
"2",
"18",
"22",
"20",
"23",
"2",
"22",
"23",
"3",
"8",
"24",
"29",
"2",
"26",
"28",
"28",
"29",
"3",
"10",
"32",
"31",
"2",
"32",
"33",
"13",
"4",
"34",
"36",
"42",
"43",
"2",
"38",
"39",
"17",
"4",
"40",
"43",
"3",
"15",
"21",
"21",
"22",
"43",
"4",
"43",
"5",
"9",
"19",
"3",
"20",
"48",
"58",
"48",
"60",
"63",
"28",
"52",
"53",
"2",
"51",
"28"
] |
[
"nonn"
] | 35 | 1 | 1 |
[
"A016035",
"A124056",
"A364934"
] | null |
Rok Cestnik, Aug 15 2023
| 2023-08-19T00:13:36 |
oeisdata/seq/A364/A364934.seq
|
7476fc8a7c0453ce55941eb472428930
|
A364935
|
a(1) = 1 and thereafter a(n) = sum of digits of the number from concatenation of a(n-1) on the left with leftmost digit of a(n-1) + k and concatenation on the right with rightmost digit of a(n-1) + k, where k is the number of times a(n-1) has appeared in the sequence.
|
[
"1",
"5",
"17",
"18",
"20",
"6",
"20",
"8",
"26",
"18",
"13",
"10",
"4",
"14",
"12",
"8",
"10",
"6",
"22",
"10",
"8",
"12",
"10",
"10",
"12",
"12",
"14",
"14",
"16",
"16",
"18",
"15",
"14",
"18",
"17",
"20",
"10",
"14",
"20",
"12",
"16",
"20",
"14",
"13",
"12",
"18",
"19",
"13",
"14",
"15",
"16",
"13",
"16",
"15",
"18",
"21",
"8",
"14",
"17",
"13",
"18",
"23",
"12",
"20",
"16",
"17",
"15",
"20",
"18",
"25",
"16",
"19",
"15",
"13"
] |
[
"base",
"easy",
"look",
"nonn"
] | 37 | 1 | 2 | null | null |
Jarrod G. Sage, Sep 15 2023
| 2024-03-31T19:04:59 |
oeisdata/seq/A364/A364935.seq
|
190004a34974ab739a9dbe9f3d122b13
|
A364936
|
a(n) = minimum number of variables with n possible states in a system such that its solution requires the processing of a transcomputational number of bits.
|
[
"309",
"195",
"155",
"134",
"120",
"111",
"103",
"98",
"93",
"90",
"87",
"84",
"82",
"80",
"78",
"76",
"75",
"73",
"72",
"71",
"70",
"69",
"68",
"67",
"66",
"65",
"65",
"64",
"63",
"63",
"62",
"62",
"61",
"61",
"60",
"60",
"59",
"59",
"59",
"58",
"58",
"57",
"57",
"57",
"56",
"56",
"56",
"56",
"55",
"55"
] |
[
"nonn",
"easy"
] | 8 | 2 | 1 | null | null |
Nicholas Leonard, Aug 13 2023
| 2023-09-03T11:21:41 |
oeisdata/seq/A364/A364936.seq
|
2c3c57eb3f417cbadf49ca685c36f778
|
A364937
|
a(n) is the least prime p such that p - prime(n) and p + prime(n) are triprimes.
|
[
"173",
"47",
"13",
"37",
"19",
"31",
"59",
"31",
"43",
"37",
"61",
"79",
"61",
"71",
"67",
"61",
"71",
"103",
"97",
"83",
"101",
"107",
"103",
"97",
"139",
"167",
"179",
"137",
"127",
"131",
"139",
"151",
"149",
"151",
"167",
"181",
"199",
"191",
"269",
"181",
"191",
"193",
"211",
"211",
"239",
"211",
"223",
"251",
"271",
"241",
"241",
"269",
"283",
"353",
"277",
"271",
"313",
"347",
"401",
"293",
"313",
"311",
"409"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A014612",
"A364937"
] | null |
Zak Seidov and Robert Israel, Aug 13 2023
| 2023-08-24T10:16:05 |
oeisdata/seq/A364/A364937.seq
|
a0e6c4f320034f990e64704c06e217b1
|
A364938
|
E.g.f. satisfies A(x) = exp( x / (1 - x*A(x))^3 ).
|
[
"1",
"1",
"7",
"73",
"1141",
"23821",
"623341",
"19650793",
"725478601",
"30714824377",
"1467394945561",
"78103975313101",
"4583805610661245",
"294093243091237669",
"20479664124384110101",
"1538423857251845781841",
"124007828871708989798161",
"10676865465119963987425009"
] |
[
"nonn"
] | 14 | 0 | 3 |
[
"A161630",
"A161635",
"A364938",
"A364940",
"A364942",
"A364981"
] | null |
Seiichi Manyama, Aug 14 2023
| 2023-11-18T05:16:23 |
oeisdata/seq/A364/A364938.seq
|
a1fd9ee929d277a541775814a44885d7
|
A364939
|
E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x*A(x))^2 ).
|
[
"1",
"1",
"7",
"82",
"1421",
"32856",
"953107",
"33316816",
"1364109273",
"64057409920",
"3394727354591",
"200445915043584",
"13050860745456613",
"928976320999078912",
"71773343988758253675",
"5982029183718123513856",
"535011546414154955711153",
"51110145581257562326401024"
] |
[
"nonn"
] | 20 | 0 | 3 |
[
"A052873",
"A082579",
"A364939",
"A364940"
] | null |
Seiichi Manyama, Aug 14 2023
| 2024-12-01T10:51:25 |
oeisdata/seq/A364/A364939.seq
|
c576dabb4d58b36f939be63b2bf50e92
|
A364940
|
E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x*A(x))^3 ).
|
[
"1",
"1",
"9",
"124",
"2525",
"68616",
"2338357",
"96004672",
"4616135001",
"254542038400",
"15839013320801",
"1098078537291264",
"83940831427695541",
"7014958697801657344",
"636298582947212386125",
"62261039244978489081856",
"6537251350698278868150833",
"733159568772947522820538368"
] |
[
"nonn"
] | 17 | 0 | 3 |
[
"A052873",
"A091695",
"A364939",
"A364940"
] | null |
Seiichi Manyama, Aug 14 2023
| 2024-12-01T10:51:15 |
oeisdata/seq/A364/A364940.seq
|
df263f85d4bed587f4092a368c76de30
|
A364941
|
E.g.f. satisfies A(x) = exp( x*A(x)^2 / (1 - x*A(x))^2 ).
|
[
"1",
"1",
"9",
"139",
"3201",
"98861",
"3842653",
"180342471",
"9926870145",
"627296384665",
"44766115252821",
"3561306199330859",
"312531347680052449",
"29994317717748851013",
"3125271184480991706189",
"351360521075659460743471",
"42395667639523579933634817",
"5464885215245368415146646321"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A361142",
"A364941",
"A364942"
] | null |
Seiichi Manyama, Aug 14 2023
| 2023-11-18T05:50:10 |
oeisdata/seq/A364/A364941.seq
|
3d8fb47aca52b99df10249712d4ba667
|
A364942
|
E.g.f. satisfies A(x) = exp( x*A(x)^2 / (1 - x*A(x))^3 ).
|
[
"1",
"1",
"11",
"193",
"5037",
"176221",
"7755433",
"411995529",
"25665442841",
"1835264297881",
"148192928581581",
"13338664928207389",
"1324344628799752981",
"143792046846092303829",
"16949599953405295395521",
"2155710634160924802161041",
"294250014166281073851809457"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A361142",
"A364941",
"A364942"
] | null |
Seiichi Manyama, Aug 14 2023
| 2023-08-14T08:28:05 |
oeisdata/seq/A364/A364942.seq
|
4b013d56f19380b862b24fa6ad6e48dd
|
A364943
|
Number of chordless cycles (of length >=4) in the complement of the n-polygon diagonal intersection graph.
|
[
"0",
"0",
"42",
"408",
"3094",
"7144",
"37881",
"70020",
"246466",
"272100",
"1118117",
"1456056",
"3982905",
"4720608",
"11925058",
"9252873"
] |
[
"nonn",
"more"
] | 24 | 3 | 3 | null | null |
Eric W. Weisstein, Aug 15 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364943.seq
|
99ba2332a1d6e3cf892bad86f98fd1ce
|
A364944
|
Order of Aut^4(C_n) = Aut(Aut(Aut(Aut(C_n)))), where C_n is the cyclic group of order n.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"1",
"1",
"1",
"6",
"6",
"1",
"8",
"8",
"8",
"1",
"1",
"8",
"12",
"1",
"2",
"336",
"8",
"6",
"1",
"12",
"12",
"8",
"8",
"384",
"144",
"8",
"384",
"12",
"12",
"1",
"384",
"4608",
"1152",
"12",
"12",
"144",
"384",
"2",
"4",
"4608",
"12",
"8",
"1536",
"384",
"64",
"1",
"2359296",
"336",
"144",
"12",
"12",
"4608",
"1152",
"8",
"13824",
"1536",
"36864",
"144",
"24"
] |
[
"nonn",
"hard"
] | 22 | 1 | 8 |
[
"A000010",
"A258615",
"A364129",
"A364917",
"A364944"
] | null |
Jianing Song, Aug 14 2023
| 2023-08-22T21:19:21 |
oeisdata/seq/A364/A364944.seq
|
4d7d13b1521a89b3227ac842a5c70404
|
A364945
|
Decimal expansion of 1-Catalan.
|
[
"0",
"8",
"4",
"0",
"3",
"4",
"4",
"0",
"5",
"8",
"2",
"2",
"7",
"8",
"0",
"9",
"8",
"4",
"9",
"4",
"5",
"3",
"9",
"6",
"4",
"8",
"5",
"0",
"6",
"7",
"6",
"1",
"5",
"8",
"8",
"9",
"2",
"2",
"5",
"8",
"5",
"0",
"6",
"2",
"5",
"7",
"1",
"8",
"3",
"2",
"7",
"8",
"6",
"5",
"7",
"3",
"3",
"5",
"0",
"1",
"8",
"8",
"0",
"3",
"7",
"8",
"2",
"3",
"6",
"9",
"8",
"0",
"2",
"2",
"3",
"7",
"4",
"5",
"2",
"3",
"0",
"5",
"2",
"0",
"6",
"4",
"3",
"4",
"8"
] |
[
"nonn",
"cons"
] | 23 | 0 | 2 |
[
"A006752",
"A364945"
] | null |
R. J. Mathar, Aug 14 2023
| 2024-11-15T06:59:15 |
oeisdata/seq/A364/A364945.seq
|
e9c18d7ac47a80bd53b1f61acbecff3c
|
A364946
|
Sixth Lie-Betti number of a path graph on n vertices.
|
[
"0",
"0",
"0",
"4",
"33",
"140",
"424",
"1039",
"2213",
"4262",
"7606",
"12786",
"20482",
"31532",
"46952",
"67957",
"95983",
"132710",
"180086",
"240352",
"316068",
"410140",
"525848",
"666875",
"837337",
"1041814",
"1285382",
"1573646",
"1912774",
"2309532",
"2771320",
"3306209",
"3922979",
"4631158",
"5441062"
] |
[
"nonn",
"easy"
] | 18 | 1 | 4 |
[
"A088459",
"A360571",
"A361230",
"A362007",
"A364579",
"A364946"
] | null |
Samuel J. Bevins, Aug 14 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364946.seq
|
5e16beaaca5d8f3ba73015a31bf5cfc8
|
A364947
|
Prime powers that are equal to the sum of the first k prime powers (including 1) for some k.
|
[
"1",
"3",
"79",
"163",
"499",
"947",
"1279",
"5297",
"6689",
"9629",
"10853",
"17467",
"21001",
"23887",
"25411",
"29761",
"32089",
"33289",
"47947",
"49429",
"55633",
"80687",
"84697",
"96157",
"116719",
"119159",
"126641",
"131783",
"136991",
"153371",
"156227",
"167861",
"182969",
"215249",
"243161",
"257921",
"280897",
"288853"
] |
[
"nonn"
] | 9 | 1 | 2 |
[
"A000961",
"A013918",
"A013921",
"A013932",
"A024918",
"A364797",
"A364947"
] | null |
Ilya Gutkovskiy, Aug 14 2023
| 2025-06-20T03:27:51 |
oeisdata/seq/A364/A364947.seq
|
6f513dbbd7eae6327424cb91a12fbdca
|
A364948
|
Perfect powers that are equal to the sum of the first k perfect powers > 1 for some k.
|
[
"4",
"121",
"2548735225"
] |
[
"nonn",
"bref",
"hard",
"more"
] | 4 | 1 | 1 |
[
"A001597",
"A013918",
"A013921",
"A013932",
"A364948"
] | null |
Ilya Gutkovskiy, Aug 14 2023
| 2023-08-24T10:33:42 |
oeisdata/seq/A364/A364948.seq
|
03702933d1d34cc4e0fe68e5af042ab2
|
A364949
|
a(n) = gcd(A348717(n), A348717(A163511(n))).
|
[
"1",
"2",
"2",
"4",
"2",
"6",
"2",
"8",
"4",
"2",
"2",
"12",
"2",
"2",
"2",
"16",
"2",
"18",
"2",
"4",
"2",
"2",
"2",
"24",
"4",
"2",
"2",
"4",
"2",
"2",
"2",
"32",
"2",
"2",
"2",
"36",
"2",
"2",
"2",
"8",
"2",
"6",
"2",
"4",
"2",
"2",
"2",
"48",
"4",
"10",
"2",
"4",
"2",
"2",
"2",
"8",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"64",
"2",
"6",
"2",
"4",
"2",
"10",
"2",
"72",
"2",
"2",
"18",
"4",
"2",
"2",
"2",
"16",
"8",
"2",
"2",
"12",
"2",
"2",
"2",
"8",
"2",
"6",
"10",
"4",
"2",
"2",
"2",
"96",
"2",
"2",
"4",
"20"
] |
[
"nonn"
] | 16 | 1 | 2 |
[
"A163511",
"A348717",
"A364255",
"A364297",
"A364949"
] | null |
Antti Karttunen, Aug 16 2023
| 2023-09-06T06:58:42 |
oeisdata/seq/A364/A364949.seq
|
9fb525ba662a2a636ccaa2dbc3fe7e46
|
A364950
|
Lexicographically earliest infinite sequence such that a(i) = a(j) => A025480(i) = A025480(j) and A348717(i) = A348717(j) for all i, j >= 1.
|
[
"1",
"2",
"3",
"4",
"2",
"5",
"3",
"6",
"4",
"7",
"2",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"7",
"17",
"2",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"3",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"2",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"23",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"13",
"62",
"63",
"64",
"14",
"65",
"66",
"67",
"15",
"68",
"69",
"70",
"34",
"71"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A003602",
"A025480",
"A246277",
"A348717",
"A364949",
"A364950",
"A364951"
] | null |
Antti Karttunen, Aug 17 2023
| 2023-08-17T19:26:06 |
oeisdata/seq/A364/A364950.seq
|
4e3e9c70d2e8815e9380be832a06c0ec
|
A364951
|
Lexicographically earliest infinite sequence such that a(i) = a(j) => A025480(i) = A025480(j) and A046523(i) = A046523(j) for all i, j >= 1.
|
[
"1",
"2",
"3",
"4",
"2",
"5",
"3",
"6",
"4",
"7",
"2",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"7",
"17",
"2",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"3",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"2",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"5",
"47",
"48",
"49",
"23",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"27",
"59",
"13",
"60",
"61",
"62",
"14",
"63",
"31",
"64",
"15",
"65",
"66",
"67",
"34",
"68"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A003602",
"A025480",
"A046523",
"A101296",
"A364950",
"A364951"
] | null |
Antti Karttunen, Aug 17 2023
| 2023-08-17T19:26:11 |
oeisdata/seq/A364/A364951.seq
|
dcebe8175cdfe1b4ec88a06f679c7104
|
A364952
|
Dirichlet inverse of A364557, which is Möbius transform of A005941.
|
[
"1",
"-1",
"-2",
"-1",
"-4",
"2",
"-8",
"-1",
"0",
"4",
"-16",
"2",
"-32",
"8",
"12",
"-1",
"-64",
"0",
"-128",
"4",
"24",
"16",
"-256",
"2",
"8",
"32",
"0",
"8",
"-512",
"-12",
"-1024",
"-1",
"48",
"64",
"56",
"0",
"-2048",
"128",
"96",
"4",
"-4096",
"-24",
"-8192",
"16",
"-8",
"256",
"-16384",
"2",
"48",
"-8",
"192",
"32",
"-32768",
"0",
"112",
"8",
"384",
"512",
"-65536",
"-12",
"-131072",
"1024",
"-16",
"-1",
"224",
"-48",
"-262144",
"64",
"768"
] |
[
"sign"
] | 11 | 1 | 3 |
[
"A000079",
"A000720",
"A005941",
"A364557",
"A364574",
"A364952",
"A364953"
] | null |
Antti Karttunen, Aug 29 2023
| 2023-08-30T13:03:41 |
oeisdata/seq/A364/A364952.seq
|
13d7d089c7f01ba1c46ec2d83a42c68d
|
A364953
|
a(n) = A364952(A005940(1+n)), where A364952 is Dirichlet inverse of A364557, which is Möbius transform of A005941 [the inverse permutation of A005940].
|
[
"1",
"-1",
"-2",
"-1",
"-4",
"2",
"0",
"-1",
"-8",
"4",
"12",
"2",
"8",
"0",
"0",
"-1",
"-16",
"8",
"24",
"4",
"56",
"-12",
"-8",
"2",
"48",
"-8",
"-40",
"0",
"-16",
"0",
"0",
"-1",
"-32",
"16",
"48",
"8",
"112",
"-24",
"-16",
"4",
"240",
"-56",
"-232",
"-12",
"-208",
"8",
"0",
"2",
"224",
"-48",
"-208",
"-8",
"-528",
"40",
"64",
"0",
"-288",
"16",
"112",
"0",
"32",
"0",
"0",
"-1",
"-64",
"32",
"96",
"16",
"224",
"-48",
"-32",
"8",
"480",
"-112",
"-464",
"-24"
] |
[
"sign"
] | 10 | 0 | 3 |
[
"A005940",
"A005941",
"A364557",
"A364567",
"A364575",
"A364952",
"A364953"
] | null |
Antti Karttunen, Aug 29 2023
| 2023-08-30T13:03:57 |
oeisdata/seq/A364/A364953.seq
|
bbb37dddcb9434a4073f568c757bba53
|
A364954
|
The length of the common prefix in the binary expansions of A156552(n) and A156552(A163511(n)).
|
[
"0",
"1",
"2",
"2",
"1",
"3",
"3",
"3",
"2",
"1",
"1",
"4",
"2",
"3",
"2",
"4",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"5",
"1",
"2",
"1",
"3",
"3",
"2",
"5",
"5",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"6",
"1",
"1",
"2",
"2",
"2",
"1",
"2",
"3",
"3",
"3",
"3",
"2",
"4",
"5",
"3",
"6",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"7",
"2",
"1",
"2",
"1",
"2",
"2",
"2",
"2",
"5"
] |
[
"nonn"
] | 8 | 1 | 3 |
[
"A156552",
"A163511",
"A364569",
"A364954",
"A364955"
] | null |
Antti Karttunen, Sep 02 2023
| 2023-09-02T16:59:53 |
oeisdata/seq/A364/A364954.seq
|
5347d2bfb5de3f70ba37691025de7b0c
|
A364955
|
a(n) = A252464(n) - A364954(n), where A364954(n) is the length of the common prefix in the binary expansions of A156552(n) and A156552(A163511(n)).
|
[
"0",
"0",
"0",
"0",
"2",
"0",
"1",
"0",
"1",
"3",
"4",
"0",
"4",
"2",
"2",
"0",
"6",
"2",
"7",
"4",
"4",
"5",
"8",
"0",
"3",
"5",
"3",
"3",
"7",
"3",
"6",
"0",
"5",
"7",
"4",
"3",
"11",
"8",
"6",
"5",
"12",
"5",
"13",
"6",
"4",
"9",
"14",
"0",
"4",
"4",
"6",
"6",
"14",
"4",
"4",
"4",
"6",
"8",
"14",
"4",
"14",
"7",
"3",
"0",
"6",
"6",
"18",
"8",
"9",
"5",
"19",
"4",
"20",
"12",
"3",
"9",
"5",
"7",
"21",
"6",
"3",
"13",
"22",
"6",
"7",
"14",
"10",
"7",
"23",
"5",
"6",
"10",
"11",
"15",
"8",
"0",
"23",
"5",
"5",
"5"
] |
[
"nonn"
] | 9 | 1 | 5 |
[
"A156552",
"A163511",
"A364570",
"A364954",
"A364955",
"A364956"
] | null |
Antti Karttunen, Sep 02 2023
| 2023-09-02T16:59:56 |
oeisdata/seq/A364/A364955.seq
|
a040d7e75f1a525020e7a721fe095a04
|
A364956
|
Numbers k such that A163511(k) is either k itself or its descendant in Doudna-tree, A005940 (or equally, in A163511-tree).
|
[
"1",
"2",
"3",
"4",
"6",
"8",
"12",
"16",
"24",
"32",
"48",
"64",
"96",
"128",
"192",
"256",
"384",
"512",
"768",
"1024",
"1536",
"2048",
"3072",
"4096",
"6144",
"8192",
"12288",
"16384",
"24576",
"32768",
"49152",
"65536",
"98304",
"131072",
"196608",
"262144",
"341887",
"393216",
"524288",
"683774",
"786432",
"1048576",
"1572864",
"2097152",
"2495625",
"3145728",
"4194304",
"4991250",
"6291456"
] |
[
"nonn"
] | 16 | 1 | 2 |
[
"A005940",
"A029744",
"A156552",
"A163511",
"A252464",
"A364954",
"A364955",
"A364956",
"A364960"
] | null |
Antti Karttunen, Sep 02 2023
| 2023-11-30T12:38:29 |
oeisdata/seq/A364/A364956.seq
|
201f56d46e6e6c1a33836b4840af2c1c
|
A364957
|
Dirichlet inverse of A365463.
|
[
"1",
"-2",
"-3",
"3",
"-1",
"6",
"-1",
"-12",
"0",
"3",
"-1",
"-9",
"-1",
"2",
"3",
"35",
"-1",
"0",
"-1",
"-10",
"3",
"3",
"-1",
"36",
"-24",
"2",
"0",
"-3",
"-1",
"-9",
"-1",
"-82",
"3",
"2",
"-5",
"0",
"-1",
"2",
"3",
"37",
"-1",
"-6",
"-1",
"-10",
"0",
"3",
"-1",
"-105",
"0",
"46",
"3",
"-6",
"-1",
"0",
"-9",
"18",
"3",
"3",
"-1",
"30",
"-1",
"2",
"0",
"226",
"-3",
"-9",
"-1",
"-6",
"3",
"12",
"-1",
"0",
"-1",
"2",
"72",
"-3",
"1",
"-6",
"-1",
"-127",
"0",
"3",
"-1",
"9",
"-3",
"2",
"3"
] |
[
"sign"
] | 9 | 1 | 2 |
[
"A356867",
"A364257",
"A364957",
"A365463"
] | null |
Antti Karttunen, Sep 16 2023
| 2023-09-16T19:09:39 |
oeisdata/seq/A364/A364957.seq
|
dcdcd5e32758c94265020984fbb296fa
|
A364958
|
Fixed points of A356867, where A356867 is Sycamore's Doudna variant D(3).
|
[
"1",
"2",
"3",
"6",
"8",
"9",
"18",
"24",
"27",
"54",
"72",
"81",
"91",
"162",
"216",
"243",
"273",
"486",
"648",
"729",
"819",
"1458",
"1944",
"2187",
"2457",
"4374",
"5832",
"6561",
"7371",
"13122",
"17496",
"19683",
"22113",
"39366",
"52488",
"59049",
"66339",
"118098",
"157464",
"177147",
"199017",
"354294",
"472392",
"531441",
"597051",
"1062882",
"1417176",
"1594323",
"1791153",
"3188646",
"4251528",
"4782969"
] |
[
"nonn"
] | 14 | 1 | 2 |
[
"A356867",
"A364958",
"A365390",
"A365462"
] | null |
David James Sycamore and Antti Karttunen, Sep 15 2023
| 2025-07-02T20:30:36 |
oeisdata/seq/A364/A364958.seq
|
2d839a769efb0a3010103d13fa0473eb
|
A364959
|
Odd numbers k such that A348717(k) = A348717(A005940(k)).
|
[
"1",
"3",
"5",
"17",
"25",
"45",
"49",
"133",
"257",
"65537"
] |
[
"nonn",
"hard",
"more"
] | 14 | 1 | 2 |
[
"A005940",
"A019434",
"A348717",
"A364297",
"A364959",
"A364961",
"A364962"
] | null |
Antti Karttunen, Sep 02 2023
| 2023-09-02T21:37:44 |
oeisdata/seq/A364/A364959.seq
|
8373df9b17e50c65774def841eea3cdf
|
A364960
|
Numbers k such that A005940(k) is either k itself or its descendant in Doudna-tree, A005940.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"10",
"12",
"16",
"20",
"24",
"25",
"32",
"40",
"45",
"48",
"49",
"64",
"80",
"96",
"128",
"160",
"192",
"256",
"320",
"384",
"512",
"640",
"768",
"1024",
"1280",
"1536",
"2048",
"2560",
"3072",
"4096",
"5120",
"6144",
"8192",
"10240",
"12288",
"16384",
"20480",
"24576",
"32768",
"40131",
"40960",
"49152",
"50575",
"65536",
"79625",
"81920",
"98304",
"131072",
"163840",
"196608",
"262144",
"327680"
] |
[
"nonn"
] | 5 | 1 | 2 |
[
"A029747",
"A252464",
"A364569",
"A364570",
"A364960",
"A364961"
] | null |
Antti Karttunen, Aug 14 2023
| 2023-08-14T17:01:12 |
oeisdata/seq/A364/A364960.seq
|
4f9b10435428d06fbd3f954a8e517100
|
A364961
|
Odd numbers k such that A005940(k) is either k itself or its descendant in Doudna-tree, A005940.
|
[
"1",
"3",
"5",
"25",
"45",
"49",
"40131",
"50575",
"79625",
"1486485",
"1872507",
"3403125"
] |
[
"nonn",
"hard",
"more"
] | 22 | 1 | 2 |
[
"A003961",
"A005940",
"A029747",
"A156552",
"A252464",
"A364569",
"A364570",
"A364956",
"A364959",
"A364960",
"A364961",
"A364962"
] | null |
Antti Karttunen, Aug 14 2023
| 2023-09-03T08:43:26 |
oeisdata/seq/A364/A364961.seq
|
b026729ba3e86925bbff4854cecf6eeb
|
A364962
|
Odd numbers k such that A005941(k) is either k itself or its descendant in Doudna-tree, A005940.
|
[
"1",
"3",
"5",
"11",
"19",
"23",
"31",
"37",
"41",
"43",
"47",
"53",
"59",
"61",
"71",
"73",
"79",
"83",
"85",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"127"
] |
[
"nonn",
"hard",
"more"
] | 16 | 1 | 2 |
[
"A005940",
"A005941",
"A029747",
"A156552",
"A252464",
"A364959",
"A364961",
"A364962"
] | null |
Antti Karttunen, Aug 14 2023
| 2023-09-03T08:43:30 |
oeisdata/seq/A364/A364962.seq
|
75bfba2a2ae7dd6f6195968af0459777
|
A364963
|
Odd numbers k such that k is a multiple of A163511(k).
|
[
"3",
"16383",
"536870895",
"2147482623"
] |
[
"nonn",
"hard",
"more"
] | 19 | 1 | 1 |
[
"A083575",
"A163511",
"A243071",
"A364495",
"A364496",
"A364498",
"A364547",
"A364963"
] | null |
Antti Karttunen, Sep 02 2023
| 2023-09-02T11:26:32 |
oeisdata/seq/A364/A364963.seq
|
fc9e33828826d6111a1e65182169cf1e
|
A364964
|
Numbers k such that k is a multiple of A243071(k).
|
[
"2",
"3",
"4",
"6",
"8",
"12",
"16",
"24",
"27",
"32",
"48",
"54",
"64",
"96",
"108",
"128",
"192",
"216",
"256",
"315",
"384",
"432",
"512",
"630",
"768",
"864",
"1024",
"1260",
"1536",
"1728",
"2048",
"2520",
"3003",
"3072",
"3456",
"4096",
"5040",
"6006",
"6144",
"6912",
"8192",
"10080",
"12012",
"12288",
"13824",
"16384",
"20160",
"24024",
"24576",
"27648",
"32768",
"40320",
"42757",
"48048",
"49152",
"55296",
"65536"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A007283",
"A163511",
"A364494",
"A364497",
"A364550",
"A364964",
"A364965"
] | null |
Antti Karttunen, Sep 01 2023
| 2023-09-01T15:23:32 |
oeisdata/seq/A364/A364964.seq
|
66afc073833cd2b13ec411046d45df4c
|
A364965
|
Odd numbers k such that k is a multiple of A243071(k).
|
[
"3",
"27",
"315",
"3003",
"42757",
"72765",
"195195",
"799425",
"13873275",
"18131225"
] |
[
"nonn",
"more"
] | 7 | 1 | 1 |
[
"A163511",
"A243071",
"A364495",
"A364498",
"A364551",
"A364964",
"A364965"
] | null |
Antti Karttunen, Sep 01 2023
| 2023-09-01T15:23:57 |
oeisdata/seq/A364/A364965.seq
|
e2935358745a5e5ce0fb5dbe9a28f0cc
|
A364966
|
Decimal expansion of the solution to exp(-x^2) = x.
|
[
"6",
"5",
"2",
"9",
"1",
"8",
"6",
"4",
"0",
"4",
"1",
"9",
"2",
"0",
"4",
"7",
"1",
"5",
"5",
"3",
"5",
"0",
"8",
"0",
"7",
"6",
"7",
"3",
"5",
"3",
"1",
"9",
"6",
"3",
"6",
"9",
"9",
"2",
"0",
"1",
"1",
"6",
"8",
"8",
"1",
"1",
"0",
"2",
"9",
"9",
"7",
"7",
"3",
"0",
"6",
"2",
"4",
"9",
"2",
"1",
"4",
"9",
"4",
"0",
"7",
"5",
"0",
"4",
"7",
"2",
"7",
"6",
"1",
"9",
"8",
"0",
"3",
"8",
"9",
"2",
"5",
"5",
"1",
"1",
"8",
"2",
"2",
"5",
"7",
"1",
"6",
"0",
"6",
"8",
"0",
"5",
"5",
"9",
"6",
"8",
"6",
"8",
"8",
"8",
"5"
] |
[
"nonn",
"cons"
] | 13 | 0 | 1 |
[
"A196515",
"A202498",
"A299624",
"A364966"
] | null |
Michal Paulovic, Aug 14 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364966.seq
|
b8d233e838493e3b57f1c343abf88b2e
|
A364967
|
Number T(n,k) of permutations of [n] for which the difference between the longest and the shortest cycle length is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.
|
[
"1",
"1",
"2",
"3",
"3",
"10",
"6",
"8",
"25",
"45",
"20",
"30",
"176",
"60",
"250",
"90",
"144",
"721",
"861",
"770",
"1344",
"504",
"840",
"6406",
"1778",
"7980",
"6300",
"8736",
"3360",
"5760",
"42561",
"23283",
"38808",
"75348",
"45360",
"66240",
"25920",
"45360",
"436402",
"84150",
"363680",
"456120",
"708048",
"378000",
"572400",
"226800",
"403200"
] |
[
"nonn",
"tabf"
] | 34 | 0 | 3 |
[
"A000142",
"A001048",
"A005225",
"A126074",
"A145877",
"A364967",
"A364971",
"A365229"
] | null |
Alois P. Heinz, Aug 14 2023
| 2023-12-08T07:11:48 |
oeisdata/seq/A364/A364967.seq
|
788c6652b0305d0416e412e67845aac5
|
A364968
|
Primitive solutions k to the Diophantine equation k^6 = Sum_{i=1..8} y_i^6 with y_i > 0.
|
[
"251",
"431",
"440",
"455",
"493",
"499",
"502",
"547",
"559",
"581",
"583",
"607",
"623"
] |
[
"nonn",
"more"
] | 32 | 1 | 1 | null | null |
R. J. Mathar, Aug 16 2023
| 2025-04-18T17:45:23 |
oeisdata/seq/A364/A364968.seq
|
1c1a65032fb63f0ece41deadce0a4280
|
A364969
|
a(n) = a(a(n-1)) if n is even, a(n) is the number of times a(n-1) occurs in the sequence so far if n is odd, with a(1) = 1.
|
[
"1",
"1",
"2",
"1",
"3",
"2",
"2",
"1",
"4",
"1",
"5",
"3",
"2",
"1",
"6",
"2",
"5",
"3",
"3",
"2",
"6",
"2",
"7",
"2",
"8",
"1",
"7",
"2",
"9",
"4",
"2",
"1",
"8",
"1",
"9",
"4",
"3",
"2",
"11",
"5",
"3",
"2",
"12",
"3",
"7",
"2",
"13",
"2",
"14",
"1",
"10",
"1",
"11",
"5",
"4",
"1",
"12",
"3",
"8",
"1",
"13",
"2",
"15",
"6",
"3",
"2",
"16",
"2",
"17",
"5",
"5",
"3",
"10",
"1",
"14",
"1",
"15",
"6",
"4",
"1",
"16",
"2"
] |
[
"nonn"
] | 45 | 1 | 3 | null | null |
Tanmaya Mohanty, Oct 23 2023
| 2023-12-31T00:50:05 |
oeisdata/seq/A364/A364969.seq
|
257bff722fce55b838c81c5f10d85012
|
A364970
|
a(n) = Sum_{k=1..n} binomial(floor(n/k)+2,3).
|
[
"1",
"5",
"12",
"26",
"42",
"73",
"102",
"152",
"204",
"278",
"345",
"464",
"556",
"693",
"835",
"1021",
"1175",
"1422",
"1613",
"1907",
"2173",
"2496",
"2773",
"3228",
"3569",
"4015",
"4445",
"4998",
"5434",
"6120",
"6617",
"7331",
"7965",
"8717",
"9391",
"10392",
"11096",
"12031",
"12909",
"14059",
"14921",
"16219",
"17166",
"18489",
"19711",
"21072",
"22201"
] |
[
"nonn",
"easy"
] | 42 | 1 | 2 |
[
"A006218",
"A007437",
"A024916",
"A064602",
"A364970",
"A365409",
"A365439"
] | null |
Seiichi Manyama, Oct 23 2023
| 2024-08-04T17:02:13 |
oeisdata/seq/A364/A364970.seq
|
9a6f59f5d361c6bb81b831740eadb829
|
A364971
|
Number T(n,k) of partitions of [n] for which the difference between the longest and the shortest block size is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.
|
[
"1",
"1",
"2",
"2",
"3",
"5",
"6",
"4",
"2",
"35",
"10",
"5",
"27",
"60",
"95",
"15",
"6",
"2",
"371",
"315",
"161",
"21",
"7",
"142",
"938",
"2002",
"770",
"252",
"28",
"8",
"282",
"4005",
"9744",
"5313",
"1386",
"372",
"36",
"9",
"1073",
"16950",
"50275",
"33705",
"11082",
"2310",
"525",
"45",
"10",
"2",
"74657",
"283525",
"217800",
"78078",
"20097",
"3630",
"715",
"55",
"11"
] |
[
"nonn",
"tabf"
] | 32 | 0 | 3 |
[
"A000027",
"A000110",
"A038041",
"A080510",
"A178979",
"A364967",
"A364971"
] | null |
Alois P. Heinz, Aug 15 2023
| 2023-10-27T08:23:22 |
oeisdata/seq/A364/A364971.seq
|
abf5c79c69c4cb9bb786506f7efa3ca0
|
A364972
|
Bases >= 2 in which the number of zeros needed to write the numbers 1 through k never equals k for any k.
|
[
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"12",
"14",
"15",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"25",
"27",
"30",
"32",
"35",
"37",
"38",
"39",
"40",
"41",
"43",
"45",
"48",
"49",
"53",
"54",
"57",
"58",
"59",
"63",
"65",
"67",
"68",
"69",
"71",
"72",
"73",
"74",
"75",
"76",
"77",
"79",
"80",
"83",
"85",
"88",
"89",
"90",
"93",
"94",
"95",
"96",
"98",
"100"
] |
[
"nonn",
"more"
] | 30 | 1 | 1 |
[
"A061217",
"A364972"
] | null |
Gregory Marton and Tanya Khovanova, Aug 14 2023
| 2023-10-06T10:31:11 |
oeisdata/seq/A364/A364972.seq
|
1be269bc711c9a5db047566853eaa7a5
|
A364973
|
a(n) = number of degree n rational curves in the complex projective plane which satisfy an order 3n-1 local tangency constraint.
|
[
"1",
"1",
"4",
"26",
"217",
"2110",
"22744",
"264057",
"3242395",
"41596252",
"552733376",
"7559811021",
"105919629403",
"1514674166755",
"22043665219240",
"325734154669786",
"4877954835706120",
"73914684068584441",
"1131820243084746628",
"17494508772311055354",
"272708269111411142397",
"4283702718045699720655"
] |
[
"nonn"
] | 53 | 1 | 3 |
[
"A353195",
"A364973"
] | null |
Kyler Siegel, Aug 22 2023
| 2024-01-01T11:55:33 |
oeisdata/seq/A364/A364973.seq
|
28592cba04659bdaf30796ea1d955e8d
|
A364974
|
a(n) is the least positive number that can be written in exactly n ways as 3*x*y^2 - x^3 where x and y are positive integers.
|
[
"1",
"2",
"88",
"704",
"36234",
"285714",
"2285712",
"18285696"
] |
[
"nonn",
"more"
] | 13 | 0 | 2 |
[
"A135782",
"A364974"
] | null |
Robert Israel, Aug 14 2023
| 2023-09-16T16:45:16 |
oeisdata/seq/A364/A364974.seq
|
c95137f8460ae6889dc9396cd7e3a372
|
A364975
|
Admirable numbers (A111592) with a record gap to the next admirable number.
|
[
"12",
"30",
"42",
"88",
"120",
"140",
"186",
"534",
"678",
"6774",
"7962",
"77118",
"94108",
"152826",
"478194",
"662154",
"935564",
"1128174",
"2028198",
"6934398",
"7750146",
"8330924",
"9984738",
"10030804",
"22956114",
"62062566",
"151040622",
"284791602",
"732988732",
"804394974",
"1151476732",
"9040886574",
"31302713634"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A111592",
"A306953",
"A330870",
"A334418",
"A334419",
"A334883",
"A363296",
"A364727",
"A364975"
] | null |
Amiram Eldar, Aug 15 2023
| 2025-04-27T00:45:12 |
oeisdata/seq/A364/A364975.seq
|
d6dce9f687751aa9e4e1900f308d11e4
|
A364976
|
3-abundant numbers k such that k/(sigma(k)-3*k) is an integer.
|
[
"180",
"240",
"360",
"420",
"540",
"600",
"780",
"1080",
"1344",
"1872",
"1890",
"2016",
"2184",
"2352",
"2376",
"2688",
"3192",
"3276",
"3744",
"4284",
"4320",
"4680",
"5292",
"5376",
"5796",
"6048",
"6552",
"7128",
"7440",
"8190",
"10416",
"13776",
"14850",
"18600",
"19824",
"19872",
"20496",
"21528",
"22932",
"25056",
"26208",
"26496",
"26784"
] |
[
"nonn"
] | 16 | 1 | 1 |
[
"A000203",
"A005101",
"A005820",
"A027687",
"A055153",
"A068403",
"A153501",
"A160320",
"A218404",
"A218406",
"A329189",
"A364976",
"A364977"
] | null |
Amiram Eldar, Aug 15 2023
| 2023-09-02T02:38:58 |
oeisdata/seq/A364/A364976.seq
|
27c9a923a88daccd79b01156a4f02241
|
A364977
|
Numbers k such that k/(3*k - sigma(k)) is a positive integer.
|
[
"6",
"24",
"28",
"60",
"84",
"168",
"252",
"270",
"336",
"496",
"630",
"756",
"792",
"864",
"924",
"936",
"1140",
"1170",
"1488",
"1638",
"2268",
"2808",
"2970",
"3672",
"4464",
"5148",
"5472",
"6804",
"7308",
"7644",
"8128",
"8700",
"8910",
"9300",
"9936",
"11172",
"13392",
"16368",
"18018",
"20196",
"20412",
"22230",
"24384",
"25116",
"27888",
"31968"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A000203",
"A000396",
"A023196",
"A068403",
"A271816",
"A329189",
"A364976",
"A364977"
] | null |
Amiram Eldar, Aug 15 2023
| 2023-08-15T02:09:01 |
oeisdata/seq/A364/A364977.seq
|
2b52767009773248e03d309e6e47ef8e
|
A364978
|
E.g.f. satisfies A(x) = 1 + x*exp(x*A(x)^2).
|
[
"1",
"1",
"2",
"15",
"124",
"1565",
"23886",
"446887",
"9787352",
"246408633",
"7010910010",
"222438284651",
"7788393551412",
"298293192119221",
"12406118302851014",
"556817903190669135",
"26825727269937929776",
"1380790608848655193457",
"75625529930102546486514"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A161631",
"A364978",
"A364979"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T07:42:01 |
oeisdata/seq/A364/A364978.seq
|
03778be30718c904e4dba524ad8fe8f7
|
A364979
|
E.g.f. satisfies A(x) = 1 + x*exp(x*A(x)^3).
|
[
"1",
"1",
"2",
"21",
"220",
"3545",
"70566",
"1702267",
"48438104",
"1582227873",
"58475787850",
"2410935939731",
"109728296017572",
"5464423604085745",
"295562179335075758",
"17255009243888243115",
"1081438061864539992496",
"72422934220506772042817",
"5161269584065131270532242"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A161631",
"A364978",
"A364979"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T07:41:57 |
oeisdata/seq/A364/A364979.seq
|
ad4a165ffb1ff509a7271dc218996663
|
A364980
|
E.g.f. satisfies A(x) = 1 + x*A(x)*exp(x*A(x)^2).
|
[
"1",
"1",
"4",
"33",
"412",
"6945",
"147846",
"3807601",
"115151464",
"4001162913",
"157096369450",
"6878742553881",
"332361857826780",
"17566215943990753",
"1008161606338206334",
"62440146891413434305",
"4151012174991960338896",
"294834882756167048975553"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A006153",
"A161633",
"A161635",
"A364980",
"A364981"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-11-18T04:37:41 |
oeisdata/seq/A364/A364980.seq
|
3b71b0189d6a7144cfc742b8c813ff4e
|
A364981
|
E.g.f. satisfies A(x) = 1 + x*A(x)*exp(x*A(x)^3).
|
[
"1",
"1",
"4",
"39",
"580",
"11685",
"298566",
"9248701",
"336886936",
"14112113049",
"668422303210",
"35325208755441",
"2060811941835780",
"131547166492534117",
"9120279070776381886",
"682489450793082237285",
"54828316394224735284016",
"4706545644403274325580593"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A006153",
"A161633",
"A364938",
"A364980",
"A364981"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-11-18T05:09:10 |
oeisdata/seq/A364/A364981.seq
|
ef78dc3d9d9f5415341cffdb189f2043
|
A364982
|
E.g.f. satisfies A(x) = 1 + x*A(x)^2*exp(x*A(x)^2).
|
[
"1",
"1",
"6",
"69",
"1204",
"28345",
"842406",
"30282385",
"1278159240",
"61979238513",
"3395850105610",
"207490382754721",
"13989267347891628",
"1031687145559176457",
"82618837044274734126",
"7139807492658000170865",
"662286433378726179463696",
"65635135687587192429274849"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A001764",
"A161633",
"A213644",
"A295238",
"A364982",
"A364986",
"A364989"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T11:57:39 |
oeisdata/seq/A364/A364982.seq
|
a0637a1885baa719be5045630efad1dc
|
A364983
|
E.g.f. satisfies A(x) = 1 + x*exp(x)*A(x)^3.
|
[
"1",
"1",
"8",
"111",
"2332",
"66125",
"2368086",
"102616759",
"5222638856",
"305436798009",
"20186656927210",
"1488021110087171",
"121044207712073196",
"10771321471267219525",
"1040877104088653696606",
"108549742436141933697135",
"12151467262433697322437136",
"1453367472748861203540942065"
] |
[
"nonn"
] | 16 | 0 | 3 |
[
"A001764",
"A006153",
"A295238",
"A307678",
"A364983",
"A364984",
"A364985",
"A364986",
"A364987"
] | null |
Seiichi Manyama, Aug 15 2023
| 2024-11-11T13:01:02 |
oeisdata/seq/A364/A364983.seq
|
5e2e749a5a7a837802f3dfbb7e8f28de
|
A364984
|
E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)).
|
[
"1",
"1",
"8",
"117",
"2596",
"77705",
"2936406",
"134228059",
"7204913528",
"444331053873",
"30963240318250",
"2406301353714731",
"206354828717754036",
"19357367027097743449",
"1971809610601104110942",
"216754216326949771274715",
"25575749384428387961718256",
"3224227609551980271408565985"
] |
[
"nonn"
] | 7 | 0 | 3 |
[
"A108447",
"A364983",
"A364984",
"A364985",
"A364986"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T07:45:24 |
oeisdata/seq/A364/A364984.seq
|
05c2aa892eed0ef0d5ebdbf81a9c3572
|
A364985
|
E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)^2).
|
[
"1",
"1",
"8",
"123",
"2884",
"91445",
"3664926",
"177796759",
"10132646840",
"663644108169",
"49123993335130",
"4055804550134051",
"369544757016476196",
"36834870020525413213",
"3987179241476814768854",
"465777171342934543710255",
"58407238852473276959363056",
"7825395596421876706944643985"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A003168",
"A364983",
"A364984",
"A364985",
"A364986"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T07:45:28 |
oeisdata/seq/A364/A364985.seq
|
c2720068baa0e9aa09cb863f1429ae42
|
A364986
|
E.g.f. satisfies A(x) = 1 + x*A(x)^3*exp(x*A(x)^3).
|
[
"1",
"1",
"8",
"129",
"3196",
"107465",
"4575966",
"236120059",
"14322901832",
"998966928897",
"78770826493210",
"6929685905371691",
"672900446143476156",
"71491442785783506577",
"8249400210035835040022",
"1027394346436911560475915",
"137360293432089585554830096"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A002293",
"A161633",
"A364982",
"A364983",
"A364984",
"A364985",
"A364986",
"A364989"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T11:58:13 |
oeisdata/seq/A364/A364986.seq
|
66cb22316762f894a5f0b9f94c1f230d
|
A364987
|
E.g.f. satisfies A(x) = 1 + x*exp(x)*A(x)^4.
|
[
"1",
"1",
"10",
"183",
"5140",
"196005",
"9468486",
"554425963",
"38171336680",
"3022130473065",
"270537702834250",
"27021535857472431",
"2979254055371578524",
"359411244032212931533",
"47093111659782104431438",
"6660135357832421444841555",
"1011181346455643980818939856"
] |
[
"nonn"
] | 15 | 0 | 3 |
[
"A002293",
"A006153",
"A295238",
"A349331",
"A364983",
"A364987"
] | null |
Seiichi Manyama, Aug 15 2023
| 2024-11-11T13:09:25 |
oeisdata/seq/A364/A364987.seq
|
4111a86a16982648dd767ca4ac19ec0f
|
A364988
|
a(n) is the sum of coreful divisors d of n such that n/d is also a coreful divisor.
|
[
"1",
"0",
"0",
"2",
"0",
"0",
"0",
"6",
"3",
"0",
"0",
"0",
"0",
"0",
"0",
"14",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"5",
"0",
"12",
"0",
"0",
"0",
"0",
"30",
"0",
"0",
"0",
"6",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"7",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"62",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"18",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"39",
"0",
"0",
"0",
"0"
] |
[
"nonn",
"mult"
] | 11 | 1 | 4 |
[
"A000203",
"A001694",
"A057723",
"A307958",
"A361430",
"A364988"
] | null |
Amiram Eldar, Aug 15 2023
| 2023-08-15T07:44:05 |
oeisdata/seq/A364/A364988.seq
|
51955a97a35d28674ed314912578e80c
|
A364989
|
E.g.f. satisfies A(x) = 1 + x*A(x)^4*exp(x*A(x)^4).
|
[
"1",
"1",
"10",
"207",
"6628",
"288885",
"15969606",
"1070760523",
"84448152328",
"7660906993737",
"785932068816010",
"89973000854464431",
"11370915080258640204",
"1572520778920744136029",
"236212754707591898128270",
"38299196311415039667233715",
"6666717272317556205911393296"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A161633",
"A364982",
"A364986",
"A364989"
] | null |
Seiichi Manyama, Aug 15 2023
| 2023-08-15T11:27:45 |
oeisdata/seq/A364/A364989.seq
|
6aaeca00177af7a688d627d8fa2272af
|
A364990
|
Coreful triperfect numbers: numbers k such that csigma(k) = 3*k, where csigma(k) is the sum of the coreful divisors of k (A057723).
|
[
"3600",
"25200",
"28224",
"39600",
"46800",
"61200",
"68400",
"82800",
"104400",
"111600",
"133200",
"141120",
"147600",
"154800",
"169200",
"190800",
"212400",
"219600",
"241200",
"255600",
"262800",
"277200",
"284400",
"298800",
"310464",
"320400",
"327600",
"349200",
"363600",
"366912",
"370800",
"385200",
"392400",
"406800"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A005820",
"A007947",
"A057723",
"A064549",
"A307958",
"A364990"
] | null |
Amiram Eldar, Aug 15 2023
| 2023-08-15T07:43:28 |
oeisdata/seq/A364/A364990.seq
|
7ea86b0b6712d890a1512b0fa7b343aa
|
A364991
|
Primitive coreful 3-abundant numbers: coreful 3-abundant numbers (A340109) that are powerful numbers (A001694).
|
[
"5400",
"7200",
"10800",
"14400",
"16200",
"18000",
"21168",
"21600",
"27000",
"28800",
"32400",
"36000",
"42336",
"43200",
"48600",
"54000",
"56448",
"57600",
"63504",
"64800",
"72000",
"81000",
"84672",
"86400",
"88200",
"90000",
"97200",
"98784",
"104544",
"108000",
"112896",
"115200",
"127008",
"129600",
"135000",
"144000",
"145800"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A001694",
"A340109",
"A356871",
"A364991"
] | null |
Amiram Eldar, Aug 15 2023
| 2023-08-15T07:43:22 |
oeisdata/seq/A364/A364991.seq
|
976554aa7498283a470d295831d6f6eb
|
A364992
|
Number of chordless cycles (of length >=4) in the complement of the n-halved cube graph.
|
[
"0",
"0",
"0",
"0",
"312",
"7224",
"95424",
"933632",
"7550208",
"53635968"
] |
[
"nonn",
"more"
] | 9 | 1 | 5 | null | null |
Eric W. Weisstein, Aug 15 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364992.seq
|
d2095715de2e3d3a1f94c813948c8cfe
|
A364993
|
Number of chordless cycles (of length >=4) in the complement of the n-odd graph.
|
[
"0",
"0",
"27",
"1575",
"43155",
"918225",
"17780763"
] |
[
"nonn",
"more"
] | 8 | 1 | 3 | null | null |
Eric W. Weisstein, Aug 15 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364993.seq
|
806790c8d1109fa1b5a1bb9bc6327664
|
A364994
|
Number of chordless cycles (of length >=4) in the complement of the n-Mycielski graph.
|
[
"0",
"0",
"1",
"41",
"881",
"14343",
"200891",
"2570213",
"31042141"
] |
[
"nonn",
"more"
] | 9 | 1 | 4 | null | null |
Eric W. Weisstein, Aug 15 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364994.seq
|
661586abccd735e189a0ee9965d2168b
|
A364995
|
Length of the longest monochromatic arithmetic progressions of difference n in the Rudin-Shapiro sequence (A020985).
|
[
"4",
"4",
"5",
"4",
"6",
"5",
"9",
"4",
"9",
"6",
"15",
"5",
"6",
"9",
"10",
"4",
"10",
"9",
"12",
"6",
"10",
"15",
"13",
"5",
"12",
"6",
"12",
"9",
"12",
"10",
"19",
"4",
"18",
"10",
"13",
"9",
"15",
"12",
"22",
"6",
"12",
"10",
"15",
"15",
"12",
"13",
"9",
"5",
"12",
"12",
"15",
"6",
"13",
"12",
"13",
"9",
"10",
"12",
"9",
"10",
"18",
"19",
"33",
"4",
"34",
"18",
"10",
"10",
"10",
"13",
"12",
"9"
] |
[
"nonn"
] | 42 | 1 | 1 |
[
"A020985",
"A020987",
"A342818",
"A364995",
"A380593"
] | null |
Gandhar Joshi, Aug 15 2023
| 2025-02-13T09:04:09 |
oeisdata/seq/A364/A364995.seq
|
84df891e05f7a83f61ad899dec12eed9
|
A364996
|
Union of A360767 and A363082.
|
[
"12",
"18",
"20",
"24",
"28",
"40",
"44",
"45",
"52",
"56",
"60",
"63",
"68",
"76",
"84",
"88",
"90",
"92",
"99",
"104",
"116",
"117",
"120",
"124",
"126",
"132",
"136",
"140",
"148",
"150",
"152",
"153",
"156",
"164",
"168",
"171",
"172",
"175",
"176",
"180",
"184",
"188",
"198",
"204",
"207",
"208",
"212",
"220",
"228",
"232",
"234",
"236",
"244",
"248",
"260",
"261"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A013929",
"A024619",
"A126706",
"A360767",
"A361098",
"A363082",
"A364996",
"A364997",
"A364998",
"A364999"
] | null |
Michael De Vlieger, Aug 26 2023
| 2024-02-03T15:25:26 |
oeisdata/seq/A364/A364996.seq
|
84ca4c6c0e8db2c227a8418f284eec8e
|
A364997
|
Numbers k neither squarefree nor prime power such that rad(k)*A119288(k) > k but rad(k)*A053669(k) < k.
|
[
"40",
"45",
"56",
"63",
"88",
"99",
"104",
"117",
"136",
"152",
"153",
"171",
"175",
"176",
"184",
"207",
"208",
"232",
"248",
"261",
"272",
"275",
"279",
"280",
"296",
"297",
"304",
"315",
"325",
"328",
"333",
"344",
"351",
"368",
"369",
"376",
"387",
"423",
"424",
"425",
"440",
"459",
"464",
"472",
"475",
"477",
"488",
"495",
"496",
"513",
"520",
"531",
"536",
"539"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A007947",
"A053669",
"A119288",
"A126706",
"A355432",
"A360432",
"A360765",
"A360767",
"A361098",
"A364997",
"A364998",
"A364999"
] | null |
Michael De Vlieger, Aug 16 2023
| 2024-07-20T20:05:21 |
oeisdata/seq/A364/A364997.seq
|
584b4b92ebf06641eafa8991c7bc56d3
|
A364998
|
Numbers k neither squarefree nor prime power such that rad(k)*A119288(k) <= k but rad(k)*A053669(k) > k.
|
[
"18",
"24",
"90",
"120",
"126",
"150",
"168",
"180",
"198",
"234",
"264",
"306",
"312",
"342",
"408",
"414",
"456",
"522",
"552",
"558",
"630",
"666",
"696",
"738",
"744",
"774",
"840",
"846",
"888",
"954",
"984",
"990",
"1032",
"1050",
"1062",
"1098",
"1128",
"1170",
"1206",
"1260",
"1272",
"1278",
"1314",
"1320",
"1386",
"1416",
"1422",
"1464",
"1470",
"1494"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A007947",
"A053669",
"A119288",
"A126706",
"A355432",
"A360432",
"A360768",
"A361098",
"A363082",
"A364997",
"A364998",
"A364999"
] | null |
Michael De Vlieger, Aug 16 2023
| 2024-07-20T20:09:41 |
oeisdata/seq/A364/A364998.seq
|
58e9f5ba46c5467b0c0c23d736d059a3
|
A364999
|
Numbers k neither squarefree nor prime power such that both rad(k)*A119288(k) > k and rad(k)*A053669(k) > k.
|
[
"12",
"20",
"28",
"44",
"52",
"60",
"68",
"76",
"84",
"92",
"116",
"124",
"132",
"140",
"148",
"156",
"164",
"172",
"188",
"204",
"212",
"220",
"228",
"236",
"244",
"260",
"268",
"276",
"284",
"292",
"308",
"316",
"332",
"340",
"348",
"356",
"364",
"372",
"380",
"388",
"404",
"412",
"420",
"428",
"436",
"444",
"452",
"460",
"476",
"492",
"508",
"516",
"524",
"532",
"548"
] |
[
"nonn"
] | 23 | 1 | 1 |
[
"A007947",
"A039956",
"A053669",
"A081770",
"A088860",
"A092742",
"A119288",
"A126706",
"A355432",
"A360432",
"A360767",
"A361098",
"A363082",
"A364998",
"A364999"
] | null |
Michael De Vlieger, Aug 16 2023
| 2024-04-05T20:09:35 |
oeisdata/seq/A364/A364999.seq
|
db9c32ae78e060234978083e403aba69
|
A365000
|
a(n) = n for n <= 2; for n > 2, rad(a(m)) != rad(a(n)), m < n, implies a(n+1) is the least novel k such that rad(k) | a(n), rad(a(m)) = rad(a(n)), m < n, implies a(n+1) = q*a(n), where q is the least novel prime such that gcd(q, a(n)) = 1 and rad(a(m)) != rad(q*a(n)), m < n.
|
[
"1",
"2",
"4",
"12",
"3",
"9",
"45",
"5",
"25",
"50",
"8",
"56",
"7",
"49",
"147",
"21",
"42",
"6",
"30",
"10",
"70",
"14",
"154",
"11",
"121",
"242",
"16",
"208",
"13",
"169",
"507",
"27",
"297",
"33",
"66",
"18",
"234",
"24",
"408",
"17",
"289",
"578",
"32",
"608",
"19",
"361",
"1083",
"57",
"114",
"36",
"828",
"23",
"529",
"1058",
"46",
"230",
"20",
"220",
"22",
"286",
"26",
"130"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A006881",
"A007947",
"A365000"
] | null |
Michael De Vlieger and David James Sycamore, Sep 12 2023
| 2024-01-25T07:56:44 |
oeisdata/seq/A365/A365000.seq
|
a1fe5a236856e490e4af3be524cc5205
|
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