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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A364701
|
Pseudoprimes corresponding to a Perrin-like primality test.
|
[
"1531398",
"114009582",
"940084647",
"4206644978",
"7962908038",
"20293639091",
"41947594698"
] |
[
"nonn",
"more"
] | 27 | 1 | 1 |
[
"A001608",
"A013998",
"A018187",
"A362923",
"A364701"
] | null |
Robert Dougherty-Bliss, Aug 03 2023
| 2024-03-05T16:46:54 |
oeisdata/seq/A364/A364701.seq
|
f92fb94c28e0cf5b62699eb2aa6777d4
|
A364702
|
Numbers k in A361098 that are not divisible by A007947(k)^2.
|
[
"48",
"50",
"54",
"75",
"80",
"96",
"98",
"112",
"135",
"147",
"160",
"162",
"189",
"192",
"224",
"240",
"242",
"245",
"250",
"252",
"270",
"294",
"300",
"320",
"336",
"338",
"350",
"352",
"360",
"363",
"375",
"378",
"384",
"396",
"405",
"416",
"448",
"450",
"468",
"480",
"486",
"490",
"504",
"507",
"525",
"528",
"540",
"550",
"560",
"567",
"578",
"588",
"594",
"600"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A001221",
"A001222",
"A001694",
"A007947",
"A053669",
"A119288",
"A126706",
"A286708",
"A361098",
"A364702"
] | null |
Michael De Vlieger, Aug 03 2023
| 2023-08-05T21:33:01 |
oeisdata/seq/A364/A364702.seq
|
f7d6afafc1b684908883061e55f96ecb
|
A364703
|
Numerators of coefficients in expansion of sqrt( 1 + x + 2*x^2 + 3*x^3 + 4*x^4 + ... ).
|
[
"1",
"1",
"7",
"17",
"139",
"263",
"995",
"1969",
"32371",
"66635",
"268121",
"527959",
"4146719",
"8259235",
"33398491",
"67666673",
"2171753923",
"4309377779",
"17069564957",
"34059684283",
"274173644357",
"552586858969",
"2214430477093",
"4407001803383",
"70069816438007",
"139923827220319",
"562011390816205",
"1129932221061107"
] |
[
"nonn",
"frac"
] | 6 | 0 | 3 |
[
"A001790",
"A046161",
"A261419",
"A261420",
"A364703"
] | null |
Ilya Gutkovskiy, Aug 03 2023
| 2023-08-05T21:25:15 |
oeisdata/seq/A364/A364703.seq
|
1e368a0579f858ee42eb096186a00a39
|
A364704
|
Smallest initial number k of n consecutive numbers satisfying sigma(k) < sigma(k+1) < ... < sigma(k+n-1).
|
[
"1",
"1",
"1",
"1",
"36721681",
"36721681"
] |
[
"nonn",
"more",
"hard"
] | 15 | 1 | 5 |
[
"A000203",
"A028965",
"A053224",
"A075028",
"A285893",
"A364659",
"A364662",
"A364680",
"A364704"
] | null |
Seiichi Manyama, Aug 03 2023
| 2023-08-04T08:17:43 |
oeisdata/seq/A364/A364704.seq
|
1e0e3ebe7724f87b46644e654703b50f
|
A364705
|
Expansion of 1/(1 - 4*x - x^2 + x^3).
|
[
"1",
"4",
"17",
"71",
"297",
"1242",
"5194",
"21721",
"90836",
"379871",
"1588599",
"6643431",
"27782452",
"116184640",
"485877581",
"2031912512",
"8497342989",
"35535406887",
"148607058025",
"621466295998",
"2598936835130",
"10868606578493",
"45451896853104",
"190077257155779",
"794892318897727",
"3324194635893583"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A124807",
"A126393",
"A364705"
] | null |
G. C. Greubel, Aug 04 2023
| 2025-03-27T23:27:36 |
oeisdata/seq/A364/A364705.seq
|
dc176c2e2faf0bdb15b5af911c587c74
|
A364706
|
a(n) is the least number k such that the k-th difference between consecutive practical numbers, A179651(k), equals 2*n, or -1 if no such k exists.
|
[
"2",
"5",
"16",
"33",
"85",
"46",
"331",
"188",
"171",
"300",
"1986",
"962",
"3321",
"968",
"2316",
"6514",
"9974",
"3219",
"12162",
"3831",
"4588",
"20585",
"30099",
"22005",
"30465",
"33485",
"28874",
"35901",
"136396",
"48483",
"120127",
"34145",
"140589",
"233364",
"126080",
"185421",
"607164",
"279989",
"359002",
"327768",
"609867",
"354143"
] |
[
"nonn"
] | 11 | 1 | 1 |
[
"A005153",
"A179651",
"A330870",
"A364706",
"A364707"
] | null |
Amiram Eldar, Aug 04 2023
| 2023-08-04T10:14:26 |
oeisdata/seq/A364/A364706.seq
|
5024bd56945da56d280c0a477221f0ec
|
A364707
|
a(n) is the least practical number A005153(k) such that A005153(k+1) - A005153(k) = 2*n, or -1 if no such number exists.
|
[
"2",
"8",
"42",
"112",
"368",
"180",
"1806",
"936",
"840",
"1600",
"14168",
"6216",
"25120",
"6272",
"16770",
"52668",
"83720",
"24240",
"103840",
"29440",
"35910",
"184140",
"278334",
"197912",
"282150",
"313040",
"266112",
"337840",
"1438722",
"468540",
"1254016",
"319808",
"1486584",
"2566432",
"1321376",
"2003688",
"7163646",
"3121328"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A005153",
"A179651",
"A330870",
"A364706",
"A364707"
] | null |
Amiram Eldar, Aug 04 2023
| 2023-08-04T10:13:48 |
oeisdata/seq/A364/A364707.seq
|
d1d8cac727c6c4b987cc8d1940917e60
|
A364708
|
Triangle of coefficient of the series reversion in t of the power series (exp(log(1+t*x)/x)-1)*exp(-t) as an e.g.f.
|
[
"1",
"1",
"1",
"2",
"6",
"1",
"6",
"35",
"22",
"1",
"24",
"225",
"310",
"65",
"1",
"120",
"1624",
"3885",
"1975",
"171",
"1",
"720",
"13132",
"47929",
"45080",
"10367",
"420",
"1",
"5040",
"118124",
"606060",
"909489",
"409416",
"48034",
"988",
"1",
"40320",
"1172700",
"7995455",
"17445645",
"13033398",
"3152520",
"204423",
"2259",
"1",
"362880",
"12753576",
"110917400",
"330281930",
"369520305",
"153751773",
"21587950",
"819120",
"5065",
"1"
] |
[
"nonn",
"tabl",
"easy"
] | 38 | 1 | 4 |
[
"A000142",
"A000169",
"A079510",
"A364708"
] | null |
Paul Laubie, Oct 20 2023
| 2024-02-03T10:13:37 |
oeisdata/seq/A364/A364708.seq
|
eaee66dfd6dd27ec776ce94afb5380e0
|
A364709
|
Triangle read by rows: T(n,k) is the number of forests of labeled rooted hypertrees with n vertices and weight k, 0 <= k < n.
|
[
"1",
"2",
"1",
"9",
"9",
"1",
"64",
"96",
"28",
"1",
"625",
"1250",
"625",
"75",
"1",
"7776",
"19440",
"14040",
"3240",
"186",
"1",
"117649",
"352947",
"336140",
"120050",
"14749",
"441",
"1",
"2097152",
"7340032",
"8716288",
"4300800",
"870912",
"61824",
"1016",
"1",
"43046721",
"172186884",
"245525742",
"156243654",
"45605511",
"5664330",
"245025",
"2295",
"1"
] |
[
"nonn",
"tabl",
"easy"
] | 27 | 1 | 2 |
[
"A000169",
"A052888",
"A081131",
"A111492",
"A364709"
] | null |
Paul Laubie, Oct 20 2023
| 2024-01-01T19:44:23 |
oeisdata/seq/A364/A364709.seq
|
36e40467a5e41980119aa3438ebf713f
|
A364710
|
Products of primorials that are neither squarefree nor prime powers.
|
[
"12",
"24",
"36",
"48",
"60",
"72",
"96",
"120",
"144",
"180",
"192",
"216",
"240",
"288",
"360",
"384",
"420",
"432",
"480",
"576",
"720",
"768",
"840",
"864",
"900",
"960",
"1080",
"1152",
"1260",
"1296",
"1440",
"1536",
"1680",
"1728",
"1800",
"1920",
"2160",
"2304",
"2520",
"2592",
"2880",
"3072",
"3360",
"3456",
"3600",
"3840",
"4320",
"4608",
"4620"
] |
[
"nonn",
"easy"
] | 21 | 1 | 1 |
[
"A000079",
"A002110",
"A002182",
"A025487",
"A126706",
"A364710"
] | null |
Michael De Vlieger, Dec 12 2023
| 2023-12-16T05:43:34 |
oeisdata/seq/A364/A364710.seq
|
dd95da5c7f0851b2f197c8e1268d96bf
|
A364711
|
Decimal expansion of (negative of) the real part of (-sqrt(2))^^10, where ^^ indicates tetration or hyper-4 (e.g., 2^^4 = 2^(2^(2^2))).
|
[
"1",
"4",
"1",
"4",
"2",
"1",
"3",
"5",
"6",
"2",
"3",
"7",
"3",
"0",
"9",
"5",
"0",
"4",
"8",
"8",
"0",
"1",
"6",
"8",
"8",
"7",
"2",
"4",
"2",
"0",
"9",
"6",
"9",
"8",
"0",
"7",
"8",
"5",
"6",
"9",
"6",
"7",
"1",
"8",
"7",
"1",
"1",
"0",
"1",
"0",
"6",
"6",
"5",
"8",
"7",
"0",
"9",
"4",
"9",
"3",
"4",
"9",
"9",
"6",
"1",
"1",
"2",
"2",
"4",
"0",
"3",
"1",
"4",
"5",
"7",
"4",
"9",
"7",
"1",
"7",
"9",
"7",
"9",
"9",
"8",
"8",
"0"
] |
[
"easy",
"cons",
"nonn"
] | 20 | 1 | 2 |
[
"A002193",
"A359187",
"A364711",
"A364806",
"A365937"
] | null |
Marco Ripà, Oct 20 2023
| 2024-01-10T16:34:00 |
oeisdata/seq/A364/A364711.seq
|
c4a4ea5d5d3dfa8547083d321f27c6f9
|
A364712
|
Number of families of non-toric log del Pezzo surfaces of Picard number one with Gorenstein index = n that admit an effective action of a one-dimensional torus.
|
[
"13",
"10",
"36",
"25",
"80",
"37",
"100",
"56",
"109",
"71",
"176",
"85",
"158",
"105",
"200",
"102",
"226",
"102",
"241",
"178",
"253",
"150",
"312",
"176",
"269",
"149",
"336",
"224",
"395",
"192",
"309",
"216",
"381",
"207",
"592",
"230",
"336",
"239",
"497",
"312",
"481",
"266",
"405",
"348",
"526",
"270",
"549",
"317",
"497",
"277",
"570",
"354",
"532",
"334"
] |
[
"nonn"
] | 18 | 1 | 1 |
[
"A145581",
"A145582",
"A364712"
] | null |
Justus Springer, Aug 04 2023
| 2024-04-11T10:27:32 |
oeisdata/seq/A364/A364712.seq
|
2561257f806314cfe30d418d20b92025
|
A364713
|
a(n) is the numerator of coefficient of x^n in expansion of (1 + x)^(1/n).
|
[
"1",
"-1",
"5",
"-77",
"399",
"-124729",
"81549",
"-23960365",
"283583443",
"-478398640447",
"19740912828",
"-11911591259019739",
"18262332208600",
"-4514446693068714225",
"142267808222130386191",
"-1912831808055538077885",
"39773048560156838355",
"-43025628065750129034887540875",
"86435429204640847578555"
] |
[
"sign",
"frac"
] | 12 | 1 | 3 |
[
"A002596",
"A067622",
"A145921",
"A344745",
"A364660",
"A364713"
] | null |
Ilya Gutkovskiy, Aug 04 2023
| 2023-08-05T06:25:59 |
oeisdata/seq/A364/A364713.seq
|
665cf43db2b6fccd7ba52acb4fe8002d
|
A364714
|
Least positive integer whose average digit in base b equals (b-1)/2 (the expected value for random digits) for 2 <= b <= n.
|
[
"2",
"38",
"141",
"3468",
"36990",
"36990"
] |
[
"nonn",
"base",
"more",
"hard"
] | 32 | 2 | 1 |
[
"A031443",
"A144798",
"A144799",
"A144800",
"A144801",
"A144812",
"A364714"
] | null |
Pontus von Brömssen, Aug 04 2023
| 2024-05-20T10:30:19 |
oeisdata/seq/A364/A364714.seq
|
a9c241b89ccd9e4ffdb099b3c00067c7
|
A364715
|
Numbers k such that d(k) < d(k+1) < d(k+2), where d(n) is the number of divisors of n.
|
[
"61",
"62",
"73",
"163",
"187",
"193",
"194",
"206",
"254",
"274",
"277",
"278",
"283",
"313",
"355",
"361",
"362",
"397",
"398",
"403",
"421",
"422",
"427",
"454",
"457",
"458",
"482",
"493",
"523",
"538",
"583",
"613",
"614",
"661",
"673",
"691",
"733",
"746",
"757",
"758",
"763",
"823",
"853",
"866",
"889",
"926",
"934",
"943",
"955",
"997",
"998",
"1003",
"1027"
] |
[
"nonn",
"easy"
] | 10 | 1 | 1 |
[
"A000005",
"A074775",
"A075028",
"A364659",
"A364715",
"A364716",
"A364717",
"A364718"
] | null |
Seiichi Manyama, Aug 04 2023
| 2023-08-04T08:16:13 |
oeisdata/seq/A364/A364715.seq
|
8794c89f6d6604f3dd828f660aed9ab4
|
A364716
|
Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3), where d(n) is the number of divisors of n.
|
[
"61",
"193",
"277",
"361",
"397",
"421",
"457",
"613",
"757",
"997",
"1213",
"1237",
"1453",
"1657",
"1867",
"1873",
"1933",
"2137",
"2347",
"2593",
"2797",
"2917",
"3013",
"3183",
"3217",
"3361",
"3427",
"3481",
"3517",
"3697",
"3721",
"3805",
"4057",
"4083",
"4177",
"4261",
"4603",
"4621",
"4717",
"4771",
"4813",
"4957",
"5029",
"5041",
"5101",
"5107",
"5223"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A000005",
"A074775",
"A075028",
"A364662",
"A364715",
"A364716",
"A364717",
"A364719"
] | null |
Seiichi Manyama, Aug 04 2023
| 2023-08-04T08:16:01 |
oeisdata/seq/A364/A364716.seq
|
47b4cd961ec34b369663151c423376e0
|
A364717
|
Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3) < d(k+4), where d(n) is the number of divisors of n.
|
[
"11371",
"11372",
"35521",
"38281",
"45613",
"48121",
"50821",
"50822",
"52321",
"52322",
"54421",
"54422",
"59341",
"59342",
"71821",
"79621",
"86873",
"87181",
"117841",
"125737",
"127852",
"130021",
"130022",
"132051",
"132206",
"133396",
"151082",
"153221",
"173221",
"180001",
"184973",
"186481",
"195541",
"195542",
"196171",
"196172"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A000005",
"A074775",
"A075028",
"A364715",
"A364716",
"A364717",
"A364720"
] | null |
Seiichi Manyama, Aug 04 2023
| 2023-08-04T08:15:47 |
oeisdata/seq/A364/A364717.seq
|
803ad50c04666d904593476942a3deff
|
A364718
|
Numbers k such that d(k) > d(k+1) > d(k+2), where d(n) is the number of divisors of n.
|
[
"45",
"80",
"81",
"105",
"165",
"224",
"225",
"260",
"261",
"272",
"315",
"324",
"345",
"357",
"384",
"405",
"435",
"440",
"441",
"464",
"465",
"476",
"477",
"495",
"512",
"555",
"560",
"561",
"567",
"585",
"594",
"595",
"620",
"624",
"627",
"650",
"651",
"675",
"704",
"714",
"715",
"795",
"800",
"825",
"836",
"837",
"855",
"860",
"861",
"884",
"885",
"891",
"896",
"915"
] |
[
"nonn",
"easy"
] | 13 | 1 | 1 |
[
"A000005",
"A074827",
"A075029",
"A364657",
"A364718",
"A364719",
"A364720"
] | null |
Seiichi Manyama, Aug 04 2023
| 2023-08-04T10:01:08 |
oeisdata/seq/A364/A364718.seq
|
d635c697d3a4760d2b13054b6a46cacc
|
A364719
|
Numbers k such that d(k) > d(k+1) > d(k+2) > d(k+3), where d(n) is the number of divisors of n.
|
[
"80",
"224",
"260",
"440",
"464",
"476",
"560",
"594",
"650",
"714",
"836",
"860",
"884",
"980",
"1016",
"1088",
"1184",
"1280",
"1376",
"1520",
"1700",
"1862",
"1904",
"2024",
"2060",
"2096",
"2444",
"2450",
"2816",
"2870",
"2960",
"2996",
"3020",
"3024",
"3164",
"3200",
"3320",
"3380",
"3450",
"3620",
"3800",
"3944",
"3968",
"4004",
"4130",
"4136",
"4250"
] |
[
"nonn",
"easy"
] | 19 | 1 | 1 |
[
"A000005",
"A050944",
"A074827",
"A075029",
"A364718",
"A364719",
"A364720"
] | null |
Seiichi Manyama, Aug 04 2023
| 2024-03-11T13:41:03 |
oeisdata/seq/A364/A364719.seq
|
3986a587f92c18dfefc87680c9f08f44
|
A364720
|
Numbers k such that d(k) > d(k+1) > d(k+2) > d(k+3) > d(k+4), where d(n) is the number of divisors of n.
|
[
"28974",
"28975",
"39150",
"39444",
"39445",
"44863",
"60775",
"64015",
"68875",
"71995",
"75174",
"79135",
"79848",
"79849",
"91195",
"103615",
"113904",
"113905",
"118825",
"126294",
"141955",
"143143",
"148974",
"149823",
"150955",
"154375",
"160734",
"160735",
"160974",
"161343",
"167824",
"171925",
"177330",
"181194",
"181195"
] |
[
"nonn",
"easy"
] | 18 | 1 | 1 |
[
"A000005",
"A074827",
"A075029",
"A364718",
"A364719",
"A364720"
] | null |
Seiichi Manyama, Aug 04 2023
| 2024-03-30T13:33:30 |
oeisdata/seq/A364/A364720.seq
|
8e9757591f51b0b94e50af2973532565
|
A364721
|
Number of ways that n can be expressed as a sum of consecutive integers from 0 up to at most n, where any of the terms in the sum can be negated, and the partial sum from 0 is always between 0 and n inclusive.
|
[
"1",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"3",
"2",
"4",
"5",
"4",
"6",
"9",
"10",
"13",
"15",
"16",
"20",
"25",
"28",
"36",
"46",
"52",
"65",
"76",
"95",
"123",
"138",
"186",
"221",
"275",
"322",
"388",
"507",
"619",
"739",
"976",
"1127",
"1395",
"1677",
"2002",
"2631",
"3247",
"3883",
"5226",
"6056",
"7464",
"9084",
"10907",
"14150",
"17823",
"21509",
"28615",
"33509",
"41433",
"51044"
] |
[
"nonn"
] | 23 | 0 | 10 | null | null |
Stelio Passaris, Aug 04 2023
| 2023-10-01T16:03:18 |
oeisdata/seq/A364/A364721.seq
|
956629b759ce4b5b62f95a8bd41a3c92
|
A364722
|
Numbers k that divide 1 + 2^m + 4^m for some m.
|
[
"1",
"3",
"7",
"13",
"19",
"21",
"37",
"39",
"49",
"57",
"61",
"67",
"73",
"79",
"91",
"97",
"103",
"109",
"111",
"139",
"147",
"151",
"163",
"169",
"181",
"183",
"193",
"199",
"201",
"211",
"219",
"237",
"241",
"271",
"273",
"291",
"307",
"309",
"313",
"327",
"331",
"337",
"343",
"349",
"361",
"367",
"373",
"379",
"409",
"417",
"421",
"427",
"433",
"453",
"463",
"469",
"487",
"489",
"507",
"523",
"541",
"543",
"547"
] |
[
"nonn"
] | 15 | 1 | 2 |
[
"A034017",
"A364722",
"A364724"
] | null |
Robert Israel, Aug 04 2023
| 2024-05-02T14:29:19 |
oeisdata/seq/A364/A364722.seq
|
ffff45081644aa04897d33b09402430e
|
A364723
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 - x*A(x)^4).
|
[
"1",
"1",
"2",
"8",
"38",
"196",
"1073",
"6120",
"35968",
"216304",
"1324676",
"8232981",
"51796538",
"329229344",
"2111031444",
"13638557196",
"88695018723",
"580153216512",
"3814285704000",
"25192499164320",
"167075960048996",
"1112162062296061",
"7428213584196010",
"49766086788057256"
] |
[
"nonn"
] | 22 | 0 | 3 |
[
"A000108",
"A106228",
"A300048",
"A364723",
"A364734",
"A364739"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-07T07:46:06 |
oeisdata/seq/A364/A364723.seq
|
c1c10898e521af4210eda2bd306de980
|
A364724
|
a(n) is the least k such that 1^k + 2^k + 4^k is divisible by A364722(n).
|
[
"0",
"0",
"1",
"4",
"6",
"2",
"12",
"4",
"7",
"6",
"20",
"22",
"3",
"13",
"4",
"16",
"17",
"12",
"12",
"46",
"14",
"5",
"54",
"52",
"60",
"20",
"32",
"33",
"22",
"70",
"6",
"26",
"8",
"45",
"4",
"16",
"34",
"34",
"52",
"12",
"10",
"7",
"49",
"116",
"114",
"61",
"124",
"126",
"68",
"46",
"140",
"20",
"24",
"10",
"77",
"22",
"81",
"54",
"52",
"174",
"180",
"60",
"182",
"13",
"38",
"48",
"32",
"66",
"101",
"204",
"206",
"15",
"70",
"28",
"220"
] |
[
"nonn",
"look"
] | 12 | 1 | 4 |
[
"A001576",
"A364722",
"A364724"
] | null |
Robert Israel, Aug 04 2023
| 2024-05-02T14:29:33 |
oeisdata/seq/A364/A364724.seq
|
8cab3be971adcfda4df6473badf40a48
|
A364725
|
Starting with a plane on which two parallel lines and two additional lines have been drawn such that the four lines form two non-congruent triangles, a(n) is the total number of lines on the plane after the n-th step, where each step consists of drawing lines that connect every intersection of two lines.
|
[
"4",
"6",
"7",
"11",
"69",
"176404"
] |
[
"nonn",
"hard",
"more"
] | 51 | 1 | 1 |
[
"A050534",
"A364725",
"A365553"
] | null |
Colin Linzer, Aug 04 2023
| 2023-11-07T05:02:42 |
oeisdata/seq/A364/A364725.seq
|
dcc1e71ecea89b33ecd54134cc6e3f32
|
A364726
|
Admirable numbers with more divisors than any smaller admirable number.
|
[
"12",
"24",
"84",
"120",
"672",
"24384",
"43065",
"78975",
"81081",
"261261",
"523776",
"9124731",
"13398021",
"69087249",
"91963648",
"459818240",
"39142675143",
"51001180160"
] |
[
"nonn",
"more"
] | 10 | 1 | 1 |
[
"A000005",
"A000043",
"A000396",
"A002182",
"A109745",
"A111592",
"A136404",
"A165772",
"A335008",
"A335317",
"A348198",
"A359963",
"A359964",
"A364726"
] | null |
Amiram Eldar, Aug 05 2023
| 2025-04-27T03:23:26 |
oeisdata/seq/A364/A364726.seq
|
8a8f2c0ae8f21b819a0fc0836c4a8ff9
|
A364727
|
Numbers k such that k and k+1 are both admirable numbers (A111592).
|
[
"29691198404",
"478012798575",
"2789405835075",
"22929723392715"
] |
[
"nonn",
"hard",
"more"
] | 14 | 1 | 1 |
[
"A096399",
"A109729",
"A109730",
"A111592",
"A364727"
] | null |
Amiram Eldar, Aug 05 2023
| 2025-04-27T03:23:21 |
oeisdata/seq/A364/A364727.seq
|
8a69f3d439fe7271fd43487796de989a
|
A364728
|
Numbers that are not the sum of admirable numbers (not necessarily distinct).
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"21",
"22",
"23",
"25",
"26",
"27",
"28",
"29",
"31",
"33",
"34",
"35",
"37",
"38",
"39",
"41",
"43",
"45",
"46",
"47",
"48",
"49",
"51",
"53",
"55",
"57",
"58",
"59",
"61",
"63",
"65",
"67",
"69",
"71",
"73",
"75",
"77",
"79",
"81",
"83",
"85",
"87",
"89",
"91",
"93",
"95",
"97",
"99",
"101"
] |
[
"nonn",
"fini",
"full"
] | 8 | 1 | 2 |
[
"A053460",
"A111592",
"A283550",
"A364728"
] | null |
Amiram Eldar, Aug 05 2023
| 2023-08-05T13:17:01 |
oeisdata/seq/A364/A364728.seq
|
ef9de176896ee8640d3062a857b299cb
|
A364729
|
Complement of A364443.
|
[
"15",
"23",
"45",
"53",
"66",
"78",
"136",
"144",
"162",
"184",
"191",
"208",
"261",
"265",
"269",
"310",
"337",
"458",
"476",
"539",
"550",
"557",
"594",
"614",
"667",
"681",
"766",
"772",
"785",
"806",
"808",
"863",
"870",
"879",
"896",
"910",
"923",
"927",
"942",
"975",
"992",
"1012",
"1013",
"1050",
"1053",
"1066",
"1071",
"1154",
"1193",
"1223",
"1254",
"1271"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A363762",
"A364445",
"A364729",
"A364730",
"A364731",
"A364732"
] | null |
Hugo Pfoertner, Aug 06 2023
| 2023-09-06T08:09:20 |
oeisdata/seq/A364/A364729.seq
|
34ae2ad0217bae30baa6319fefdeba3a
|
A364730
|
a(n) is the number of occurrences of n in A364443.
|
[
"1",
"2",
"2",
"1",
"3",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"1",
"5",
"2",
"0",
"5",
"1",
"1",
"4",
"2",
"4",
"3",
"0",
"3",
"3",
"2",
"3",
"2",
"4",
"2",
"2",
"3",
"2",
"2",
"4",
"4",
"1",
"1",
"3",
"2",
"4",
"4",
"2",
"3",
"0",
"5",
"3",
"1",
"2",
"5",
"1",
"5",
"0",
"4",
"3",
"2",
"2",
"5",
"2",
"3",
"1",
"4",
"3",
"1",
"4",
"0",
"6",
"3",
"3",
"2",
"2",
"3",
"1",
"3",
"1",
"9",
"2",
"0",
"2",
"5",
"3",
"4",
"1",
"3",
"2",
"4",
"3"
] |
[
"nonn"
] | 7 | 0 | 2 |
[
"A077773",
"A363522",
"A364729",
"A364730",
"A364731",
"A364732"
] | null |
Hugo Pfoertner, Aug 06 2023
| 2023-09-06T08:09:25 |
oeisdata/seq/A364/A364730.seq
|
61b3842ca8336baadc8e53103a2d23ee
|
A364731
|
a(n) is the index of the first occurrence of n in A364443, or -1 if n doesn't occur.
|
[
"0",
"1",
"3",
"5",
"6",
"8",
"10",
"14",
"13",
"17",
"20",
"19",
"25",
"24",
"29",
"-1",
"31",
"36",
"38",
"40",
"39",
"44",
"46",
"-1",
"51",
"52",
"61",
"57",
"62",
"60",
"67",
"71",
"70",
"72",
"76",
"77",
"79",
"92",
"94",
"86",
"90",
"91",
"95",
"99",
"105",
"-1",
"108",
"104",
"118",
"116",
"114",
"124",
"122",
"-1",
"123",
"130",
"135",
"134",
"141",
"138",
"140",
"160",
"148"
] |
[
"sign"
] | 6 | 0 | 3 |
[
"A077773",
"A363763",
"A364729",
"A364730",
"A364731",
"A364732"
] | null |
Hugo Pfoertner, Aug 06 2023
| 2023-09-06T08:09:30 |
oeisdata/seq/A364/A364731.seq
|
55958b79846fe31973ef4a076790c78d
|
A364732
|
a(n) is the index of the last occurrence of n in A364443, or -1 if n doesn't occur.
|
[
"0",
"2",
"4",
"5",
"9",
"11",
"12",
"16",
"15",
"18",
"23",
"22",
"25",
"30",
"34",
"-1",
"37",
"36",
"38",
"43",
"45",
"53",
"50",
"-1",
"56",
"59",
"63",
"64",
"68",
"69",
"75",
"73",
"78",
"80",
"88",
"85",
"87",
"92",
"94",
"96",
"101",
"107",
"102",
"103",
"113",
"-1",
"119",
"112",
"118",
"117",
"128",
"124",
"137",
"-1",
"136",
"139",
"146",
"144",
"151",
"153",
"147",
"160"
] |
[
"sign"
] | 6 | 0 | 2 |
[
"A077773",
"A364341",
"A364729",
"A364730",
"A364731",
"A364732"
] | null |
Hugo Pfoertner, Aug 06 2023
| 2023-09-06T08:09:37 |
oeisdata/seq/A364/A364732.seq
|
5e613bc27d8e95573284b069e384011b
|
A364733
|
Letters of the English alphabet represented by flag semaphores encoding the positions z of the 2 flags by a two-digit decimal number z = 10*x + y, 1 <= x < y <= 8.
|
[
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"23",
"24",
"57",
"25",
"26",
"27",
"28",
"34",
"35",
"36",
"37",
"38",
"45",
"46",
"58",
"67",
"68",
"47",
"78"
] |
[
"nonn",
"base",
"fini",
"full"
] | 5 | 1 | 1 | null | null |
Hugo Pfoertner, Sep 05 2023
| 2023-09-05T20:16:57 |
oeisdata/seq/A364/A364733.seq
|
c810fbdae6f7aa72dc9ec475cfe6be23
|
A364734
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 - x*A(x)^5).
|
[
"1",
"1",
"2",
"9",
"48",
"276",
"1687",
"10750",
"70597",
"474478",
"3247844",
"22563904",
"158693152",
"1127661358",
"8083795761",
"58390722901",
"424562043703",
"3104994695198",
"22825260066996",
"168564068029385",
"1249985066423749",
"9303815610715531",
"69483859839881494",
"520527161650519576"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000108",
"A106228",
"A300048",
"A364723",
"A364734",
"A364740"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:12:01 |
oeisdata/seq/A364/A364734.seq
|
1f3ec92ef323d8e0783004ea1f6fef8b
|
A364735
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^2).
|
[
"1",
"1",
"0",
"-2",
"-1",
"8",
"10",
"-37",
"-84",
"168",
"660",
"-624",
"-4950",
"583",
"35464",
"23166",
"-240513",
"-359008",
"1511640",
"3898100",
"-8387664",
"-36522256",
"35444728",
"311764768",
"-25659766",
"-2466384737",
"-1793133360",
"18077558170",
"28951038285",
"-120750295320",
"-330486900870"
] |
[
"sign"
] | 10 | 0 | 4 |
[
"A106228",
"A364735",
"A364736",
"A364737",
"A364738"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:11:52 |
oeisdata/seq/A364/A364735.seq
|
8ebcc4baf8b6383a7aaa37c1d8feba03
|
A364736
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^3).
|
[
"1",
"1",
"0",
"-3",
"-3",
"17",
"45",
"-90",
"-546",
"130",
"5832",
"7074",
"-53625",
"-159214",
"374517",
"2419131",
"-728364",
"-30011530",
"-37519884",
"307731042",
"940757526",
"-2343385995",
"-15421126275",
"5164279686",
"203045257272",
"255851517115",
"-2186669342070",
"-6760669947375",
"17391580425180"
] |
[
"sign"
] | 11 | 0 | 4 |
[
"A300048",
"A364735",
"A364736",
"A364737",
"A364738"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:12:10 |
oeisdata/seq/A364/A364736.seq
|
a40bf7ecd4d5cf90a883a9baae6ee8c4
|
A364737
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^4).
|
[
"1",
"1",
"0",
"-4",
"-6",
"28",
"119",
"-116",
"-1820",
"-2128",
"22212",
"79877",
"-172700",
"-1652728",
"-857428",
"25387284",
"71506309",
"-268817888",
"-1838702048",
"449975584",
"33164610276",
"68575577309",
"-429542625096",
"-2221814345660",
"2539462697398",
"46048818685880",
"61721413191310"
] |
[
"sign"
] | 11 | 0 | 4 |
[
"A364735",
"A364736",
"A364737",
"A364738"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:12:19 |
oeisdata/seq/A364/A364737.seq
|
66a375b071d488ac1fcc0d685b3bb1f9
|
A364738
|
G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^5).
|
[
"1",
"1",
"0",
"-5",
"-10",
"40",
"245",
"-26",
"-4375",
"-11410",
"53040",
"377850",
"-12320",
"-7988194",
"-23011625",
"106662595",
"824671575",
"64095550",
"-18490968680",
"-57052839001",
"254513058375",
"2098532784575",
"419490572800",
"-48205987947600",
"-157458581103395",
"666628546612606",
"5824573247731250"
] |
[
"sign"
] | 11 | 0 | 4 |
[
"A364734",
"A364735",
"A364736",
"A364737",
"A364738"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:12:30 |
oeisdata/seq/A364/A364738.seq
|
d3ae6f000bd983589ab19c45a2e4280a
|
A364739
|
G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 - x*A(x)^4).
|
[
"1",
"1",
"3",
"14",
"78",
"477",
"3094",
"20905",
"145547",
"1036891",
"7522335",
"55382045",
"412740298",
"3107671807",
"23604165913",
"180641336755",
"1391555475647",
"10781886600707",
"83968131035849",
"656931982467460",
"5160714860765430",
"40692065290732340",
"321937030883130021"
] |
[
"nonn"
] | 24 | 0 | 3 |
[
"A001003",
"A001764",
"A219537",
"A364739",
"A364740"
] | null |
Seiichi Manyama, Aug 05 2023
| 2024-03-03T13:46:49 |
oeisdata/seq/A364/A364739.seq
|
c1db23b5023fa5c12e92b2923c76aa9b
|
A364740
|
G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 - x*A(x)^5).
|
[
"1",
"1",
"3",
"15",
"91",
"607",
"4298",
"31720",
"241321",
"1879097",
"14903013",
"119965086",
"977623639",
"8049579047",
"66864689674",
"559650696185",
"4715304229460",
"39960204165865",
"340395043021399",
"2912963919210012",
"25031055321749916",
"215894227588453950",
"1868403327770467149"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A001003",
"A001764",
"A219537",
"A364739",
"A364740"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T13:12:52 |
oeisdata/seq/A364/A364740.seq
|
c6e020ad721ffdcb5badbd9cbc071977
|
A364741
|
Number of edge covers in the n-double cone graph.
|
[
"0",
"8",
"160",
"2009",
"25872",
"328208",
"4165357",
"52837520",
"670238112",
"8501756249",
"107841947320",
"1367938389320",
"17351831692125",
"220102059219128",
"2791919445762040",
"35414544563765129",
"449221401563485632",
"5698220042111151488",
"72279974941308391117",
"916846794068851162400",
"11629888423130623254672"
] |
[
"nonn",
"easy"
] | 22 | 0 | 2 |
[
"A000032",
"A206776",
"A297047",
"A364741"
] | null |
Eric W. Weisstein, Aug 05 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364741.seq
|
2b83ad088c92b8ac8d340188eabd77a4
|
A364742
|
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^3).
|
[
"1",
"1",
"4",
"13",
"50",
"201",
"841",
"3627",
"15993",
"71803",
"327082",
"1508002",
"7023446",
"32995626",
"156173668",
"744029238",
"3565030063",
"17169013899",
"83061503584",
"403483653745",
"1967217524551",
"9623463731721",
"47220968518786",
"232354408276613",
"1146254897566224",
"5668118931395946"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A001006",
"A161634",
"A364742",
"A364743",
"A364744"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T10:32:36 |
oeisdata/seq/A364/A364742.seq
|
6cd4b8bdec959eeb651f3d82afb8f331
|
A364743
|
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^4).
|
[
"1",
"1",
"5",
"19",
"85",
"402",
"1971",
"9976",
"51633",
"272131",
"1455486",
"7879664",
"43096967",
"237777710",
"1321792096",
"7396125088",
"41624735353",
"235461758085",
"1338049873395",
"7634930866465",
"43726638130854",
"251273386911443",
"1448362622788376",
"8371936106228253"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A001006",
"A161634",
"A364742",
"A364743",
"A364744"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T10:32:33 |
oeisdata/seq/A364/A364743.seq
|
d02c4418eff4dfcf2b21ba897e4601e5
|
A364744
|
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^5).
|
[
"1",
"1",
"6",
"26",
"131",
"706",
"3932",
"22618",
"133099",
"797545",
"4850296",
"29859028",
"185712831",
"1165227025",
"7366475715",
"46877977451",
"300049605259",
"1930395961235",
"12476394685445",
"80968876247330",
"527424073700966",
"3447190219684125",
"22599794010813360"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A001006",
"A161634",
"A364742",
"A364743",
"A364744"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-05T10:32:29 |
oeisdata/seq/A364/A364744.seq
|
4ab1cc3759ed649eaea961b1526a2c8e
|
A364745
|
Number of edge covers in the n-Lucas cube graph.
|
[
"0",
"1",
"1",
"63",
"5613",
"139828792",
"7683625491104568",
"1522430530919920917130311465408"
] |
[
"nonn",
"more"
] | 7 | 1 | 4 |
[
"A297051",
"A364745",
"A377653"
] | null |
Eric W. Weisstein, Aug 05 2023
| 2024-12-09T19:45:40 |
oeisdata/seq/A364/A364745.seq
|
a23f4e4007597c56ebf3c5abb76b5d81
|
A364746
|
Irregular triangle read by rows T(n,k), n >= 1, 1 <= k <= A002378(n), which is mentioned in the conjecture of A364639 (see Comments lines for definition).
|
[
"1",
"0",
"0",
"1",
"-1",
"1",
"0",
"0",
"0",
"0",
"1",
"-1",
"0",
"1",
"0",
"-1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"-1",
"0",
"0",
"1",
"0",
"-1",
"0",
"1",
"0",
"0",
"-1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"-1",
"0",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"1",
"0",
"0",
"-1",
"0",
"1",
"0",
"0",
"0",
"-1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"-1",
"0",
"0",
"0",
"0",
"1",
"0",
"-1",
"0",
"0",
"0",
"1",
"0",
"0",
"-1",
"0",
"0",
"1",
"0",
"0",
"0",
"-1",
"0",
"1"
] |
[
"sign",
"tabf"
] | 34 | 1 | null |
[
"A000004",
"A000007",
"A000012",
"A002061",
"A002378",
"A196020",
"A235791",
"A236104",
"A237591",
"A237593",
"A364639",
"A364746"
] | null |
Omar E. Pol, Aug 05 2023
| 2023-09-03T10:54:23 |
oeisdata/seq/A364/A364746.seq
|
f581f894ea44175129ac080af9c2ef23
|
A364747
|
G.f. A(x) satisfies A(x) = 1 + x*A(x)^4 / (1 - x*A(x)).
|
[
"1",
"1",
"5",
"32",
"234",
"1854",
"15490",
"134380",
"1198944",
"10931761",
"101412677",
"954155059",
"9083120975",
"87326765375",
"846709605539",
"8269910074087",
"81291388929027",
"803592049667495",
"7983612883739843",
"79671910265120574",
"798283229227457304",
"8027625597750959053"
] |
[
"nonn"
] | 20 | 0 | 3 |
[
"A000108",
"A001003",
"A002294",
"A108447",
"A243659",
"A364747",
"A364748",
"A364765",
"A364792",
"A378691",
"A378692"
] | null |
Seiichi Manyama, Aug 05 2023
| 2024-12-05T07:27:24 |
oeisdata/seq/A364/A364747.seq
|
ff4c4921cd47d6253b84a35f17224415
|
A364748
|
G.f. A(x) satisfies A(x) = 1 + x*A(x)^5 / (1 - x*A(x)).
|
[
"1",
"1",
"6",
"47",
"424",
"4159",
"43097",
"464197",
"5145475",
"58313310",
"672598269",
"7869856070",
"93183973405",
"1114471042413",
"13443614108307",
"163372291277764",
"1998239045199623",
"24580340878055298",
"303893356012560280",
"3774099648814193998",
"47061518776483143441"
] |
[
"nonn"
] | 23 | 0 | 3 |
[
"A000108",
"A001003",
"A002295",
"A108447",
"A243667",
"A364747",
"A364748",
"A365192",
"A365193",
"A365194",
"A378691",
"A378692"
] | null |
Seiichi Manyama, Aug 05 2023
| 2024-12-05T07:14:37 |
oeisdata/seq/A364/A364748.seq
|
47fb960263482d26f0969792678ab776
|
A364749
|
a(1) = 1. Thereafter, if a(n-1) is a novel term a(n) = a(a(n-1)), otherwise a(n) is the number of times a(n-1) has been repeated.
|
[
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"4",
"2",
"1",
"5",
"1",
"6",
"3",
"1",
"7",
"1",
"8",
"4",
"1",
"9",
"2",
"2",
"3",
"2",
"4",
"2",
"5",
"1",
"10",
"1",
"11",
"5",
"2",
"6",
"1",
"12",
"1",
"13",
"6",
"2",
"7",
"1",
"14",
"3",
"3",
"4",
"3",
"5",
"3",
"6",
"3",
"7",
"2",
"8",
"1",
"15",
"1",
"16",
"7",
"3",
"8",
"2",
"9",
"1",
"17",
"1",
"18",
"8",
"3",
"9",
"2",
"10",
"1",
"19",
"4",
"4",
"5",
"4",
"6",
"4",
"7",
"4",
"8",
"4",
"9",
"3",
"10"
] |
[
"nonn"
] | 16 | 1 | 4 |
[
"A000027",
"A346175",
"A364749"
] | null |
David James Sycamore, Aug 05 2023
| 2023-08-08T01:43:04 |
oeisdata/seq/A364/A364749.seq
|
3b9f566ebac9b593ffd9150e1164f0c4
|
A364750
|
Integers k such that A000010(k) <= A008480(k).
|
[
"1",
"2",
"6",
"3326400",
"4989600",
"6652800",
"9979200",
"11793600",
"19958400",
"21621600",
"23284800",
"23587200",
"25945920",
"29937600",
"33264000",
"34927200",
"35380800",
"39916800",
"43243200",
"46569600",
"47174400",
"49896000",
"51891840",
"58968000",
"59875200",
"64864800",
"66528000",
"69854400",
"70761600",
"76204800",
"77837760",
"79833600"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A000010",
"A008480",
"A364750"
] | null |
Michel Marcus, Aug 05 2023
| 2023-08-07T02:11:37 |
oeisdata/seq/A364/A364750.seq
|
210e2d1aa939e882a874ed32b87ca368
|
A364751
|
Minimum sum of digits for any number of length n digits in fractional base 4/3.
|
[
"0",
"3",
"5",
"6",
"6",
"8",
"8",
"9",
"10",
"10",
"11",
"11",
"11",
"11",
"13",
"14",
"16",
"17",
"17",
"17",
"18",
"19",
"21",
"22",
"22",
"23",
"24",
"26",
"26",
"26",
"27",
"28",
"29",
"29",
"29",
"29",
"29",
"29",
"31",
"33",
"34",
"35",
"36",
"37",
"38",
"38",
"38",
"39",
"39",
"41",
"41",
"42",
"42",
"43",
"43",
"45",
"45",
"46",
"46",
"48",
"50",
"50",
"52",
"52",
"52",
"52",
"53",
"55"
] |
[
"nonn",
"base"
] | 29 | 1 | 2 |
[
"A024631",
"A244041",
"A363758",
"A364751",
"A364779"
] | null |
Kevin Ryde, Sep 07 2023
| 2023-12-17T03:14:42 |
oeisdata/seq/A364/A364751.seq
|
3bb7fd96e82da41c81e389eb19a48622
|
A364752
|
Number of subsets of {1..n} containing n and all first differences.
|
[
"1",
"1",
"2",
"2",
"4",
"4",
"9",
"11",
"24",
"38",
"75",
"131",
"263",
"476",
"928",
"1750",
"3386",
"6439",
"12455",
"23853",
"46097",
"88709",
"171471",
"330939",
"640472",
"1238755",
"2400154",
"4650857",
"9022792",
"17510820",
"34015138",
"66106492",
"128571563",
"250191929",
"487175381",
"949133736",
"1850223956",
"3608650389"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A054519",
"A151897",
"A196723",
"A237668",
"A325325",
"A326083",
"A363225",
"A364345",
"A364463",
"A364464",
"A364466",
"A364537",
"A364671",
"A364672",
"A364673",
"A364674",
"A364675",
"A364752",
"A364753"
] | null |
Gus Wiseman, Aug 06 2023
| 2023-08-06T17:50:09 |
oeisdata/seq/A364/A364752.seq
|
093aa39e230ff7f4224d59627ea0acd1
|
A364753
|
Number of subsets of {1..n} containing n but not containing all first differences.
|
[
"0",
"0",
"0",
"2",
"4",
"12",
"23",
"53",
"104",
"218",
"437",
"893",
"1785",
"3620",
"7264",
"14634",
"29382",
"59097",
"118617",
"238291",
"478191",
"959867",
"1925681",
"3863365",
"7748136",
"15538461",
"31154278",
"62458007",
"125194936",
"250924636",
"502855774",
"1007635332",
"2018912085",
"4044775367",
"8102759211",
"16230735448",
"32509514412",
"65110826347"
] |
[
"nonn"
] | 10 | 0 | 4 |
[
"A054519",
"A151897",
"A196723",
"A237668",
"A325325",
"A326083",
"A364345",
"A364463",
"A364464",
"A364466",
"A364537",
"A364671",
"A364672",
"A364673",
"A364674",
"A364675",
"A364752",
"A364753"
] | null |
Gus Wiseman, Aug 06 2023
| 2023-08-07T11:32:47 |
oeisdata/seq/A364/A364753.seq
|
af7fc70d7195bc11c5b6a12bbf55e834
|
A364754
|
Smallest nonnegative integer not expressible by the addition and subtraction of fewer than n Lucas numbers.
|
[
"0",
"1",
"5",
"23",
"99",
"421",
"1785",
"7563",
"32039",
"135721",
"574925",
"2435423",
"10316619",
"43701901",
"185124225",
"784198803",
"3321919439",
"14071876561",
"59609425685",
"252509579303",
"1069647742899",
"4531100550901",
"19194049946505",
"81307300336923",
"344423251294199",
"1459000305513721",
"6180424473349085"
] |
[
"nonn",
"easy"
] | 22 | 0 | 3 |
[
"A000032",
"A001076",
"A004146",
"A364754",
"A365907"
] | null |
Mike Speciner, Oct 20 2023
| 2023-12-31T00:47:09 |
oeisdata/seq/A364/A364754.seq
|
ca1f6b51c7dba13a33444a8f4eb574fd
|
A364755
|
Number of subsets of {1..n} containing n but not containing the sum of any two distinct elements.
|
[
"0",
"1",
"2",
"3",
"6",
"9",
"15",
"24",
"41",
"60",
"99",
"149",
"236",
"355",
"552",
"817",
"1275",
"1870",
"2788",
"4167",
"6243",
"9098",
"13433",
"19718",
"28771",
"42137",
"60652",
"88603",
"127555",
"185200",
"261781",
"382931",
"541022",
"783862",
"1096608",
"1595829",
"2217467",
"3223064",
"4441073",
"6465800",
"8893694"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A007865",
"A050291",
"A054519",
"A085489",
"A088809",
"A093971",
"A151897",
"A236912",
"A288728",
"A326020",
"A326080",
"A326083",
"A364272",
"A364349",
"A364533",
"A364534",
"A364755",
"A364756"
] | null |
Gus Wiseman, Aug 11 2023
| 2024-01-13T16:46:03 |
oeisdata/seq/A364/A364755.seq
|
fbf1f42318eecbdba2a04de5964a5559
|
A364756
|
Number of subsets of {1..n} containing n and some element equal to the sum of two distinct others.
|
[
"0",
"0",
"0",
"1",
"2",
"7",
"17",
"40",
"87",
"196",
"413",
"875",
"1812",
"3741",
"7640",
"15567",
"31493",
"63666",
"128284",
"257977",
"518045",
"1039478",
"2083719",
"4174586",
"8359837",
"16735079",
"33493780",
"67020261",
"134090173",
"268250256",
"536609131",
"1073358893",
"2146942626",
"4294183434",
"8588837984",
"17178273355"
] |
[
"nonn"
] | 10 | 0 | 5 |
[
"A000079",
"A007865",
"A050291",
"A051026",
"A085489",
"A088809",
"A093971",
"A103580",
"A151897",
"A236912",
"A288728",
"A326080",
"A326083",
"A364272",
"A364534",
"A364755",
"A364756"
] | null |
Gus Wiseman, Aug 11 2023
| 2024-01-13T16:46:38 |
oeisdata/seq/A364/A364756.seq
|
fa44b1a7fbb0f02504331433b2924d3b
|
A364757
|
The pyramidal array T(r,g,b) = (r+g+b)/((g+b)*(r+b))*C(r+g,b-1)*C(g+b,r)*C(r+b,g), where 1 <= b <= ceiling((r+g+b)/2) and 0 <= r,g <= floor((r+g+b)/2). Read first over the layers corresponding to fixed sum r+g+b, then over the diagonals corresponding to fixed b.
|
[
"1",
"1",
"1",
"3",
"1",
"1",
"2",
"2",
"1",
"8",
"1",
"5",
"15",
"15",
"1",
"5",
"1",
"3",
"3",
"8",
"54",
"8",
"1",
"27",
"27",
"1",
"7",
"70",
"70",
"42",
"168",
"42",
"1",
"14",
"14",
"1",
"4",
"4",
"30",
"192",
"30",
"20",
"400",
"400",
"20",
"1",
"64",
"200",
"64",
"1",
"9",
"210",
"210",
"405",
"1500",
"405",
"90",
"900",
"900",
"90",
"1",
"30",
"81",
"30",
"1",
"5",
"5",
"80",
"500",
"80",
"147",
"2625",
"2625",
"147",
"40",
"1750",
"5000",
"1750",
"40",
"1",
"125",
"875",
"875",
"125",
"1"
] |
[
"nonn",
"tabf"
] | 20 | 1 | 4 |
[
"A000108",
"A108759",
"A278880",
"A364757"
] | null |
Robert Muth, Aug 05 2023
| 2025-04-13T07:11:34 |
oeisdata/seq/A364/A364757.seq
|
fbf3fa7ddbe589a21a7687a828570f6d
|
A364758
|
G.f. A(x) satisfies A(x) = 1 + x*A(x)^4 / (1 + x*A(x)).
|
[
"1",
"1",
"3",
"14",
"76",
"450",
"2818",
"18352",
"123028",
"843345",
"5884227",
"41650479",
"298352365",
"2158751879",
"15754446893",
"115830820439",
"857147952469",
"6379136387303",
"47715901304501",
"358529599468636",
"2704884469806606",
"20481615947325089",
"155605509972859999",
"1185779099027494848"
] |
[
"nonn"
] | 22 | 0 | 3 |
[
"A001764",
"A090192",
"A106228",
"A219537",
"A300048",
"A364747",
"A364758",
"A364759",
"A364865",
"A365224",
"A378889",
"A378919"
] | null |
Seiichi Manyama, Aug 05 2023
| 2024-12-11T08:45:34 |
oeisdata/seq/A364/A364758.seq
|
e46f455dcb237a8808981f4cb2f7bcf0
|
A364759
|
G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 + x*A(x)).
|
[
"1",
"1",
"4",
"25",
"182",
"1447",
"12175",
"106575",
"960579",
"8854622",
"83089537",
"791063172",
"7622317663",
"74191096721",
"728389554533",
"7204640725610",
"71727367291455",
"718195853746770",
"7227785937663908",
"73069500402699226",
"741712341691454837",
"7556704348506425398"
] |
[
"nonn"
] | 7 | 0 | 3 |
[
"A090192",
"A106228",
"A364748",
"A364758",
"A364759"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-06T11:04:22 |
oeisdata/seq/A364/A364759.seq
|
702629b03b0018902b855698767513e6
|
A364760
|
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^2).
|
[
"1",
"-1",
"-1",
"4",
"1",
"-21",
"14",
"111",
"-195",
"-529",
"1837",
"1792",
"-14772",
"2300",
"105431",
"-126697",
"-657427",
"1650427",
"3285795",
"-16211352",
"-8308737",
"135770125",
"-79748628",
"-990431659",
"1700106664",
"6098396204",
"-20258923714",
"-27342511804",
"193913175511",
"12018867589"
] |
[
"sign"
] | 7 | 0 | 4 |
[
"A007440",
"A161634",
"A364760",
"A364761",
"A364762",
"A364763"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-06T11:04:14 |
oeisdata/seq/A364/A364760.seq
|
4870b681150fd5f84ce5edd1db97b2cc
|
A364761
|
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^3).
|
[
"1",
"-1",
"-2",
"5",
"12",
"-41",
"-89",
"391",
"733",
"-4051",
"-6320",
"44120",
"54990",
"-496406",
"-465932",
"5710408",
"3637847",
"-66714699",
"-22683218",
"787957397",
"35371351",
"-9376925921",
"2356626520",
"112147043475",
"-61910867756",
"-1345231820826",
"1158452138826",
"16156200619772"
] |
[
"sign"
] | 8 | 0 | 3 |
[
"A007440",
"A364742",
"A364760",
"A364761",
"A364762",
"A364763"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-06T11:04:05 |
oeisdata/seq/A364/A364761.seq
|
a5192cd0f5c86c1f5a6de4cab81a91e9
|
A364762
|
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^4).
|
[
"1",
"-1",
"-3",
"5",
"29",
"-42",
"-349",
"384",
"4705",
"-3307",
"-67530",
"19392",
"1006479",
"140594",
"-15356600",
"-8897336",
"237691865",
"246737931",
"-3708348277",
"-5655844305",
"58027927950",
"119178376245",
"-906834380800",
"-2396063640645",
"14094956420555",
"46748815762429",
"-216921227330074"
] |
[
"sign"
] | 15 | 0 | 3 |
[
"A007440",
"A364743",
"A364760",
"A364761",
"A364762",
"A364763"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-10-25T09:28:49 |
oeisdata/seq/A364/A364762.seq
|
15da8493ebced042bf8062d4b1984696
|
A364763
|
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^5).
|
[
"1",
"-1",
"-4",
"4",
"51",
"-6",
"-770",
"-694",
"12363",
"25583",
"-198824",
"-701944",
"3049603",
"17238467",
"-41348631",
"-396817391",
"391720363",
"8689985437",
"1902247845",
"-181526287908",
"-253530149234",
"3597968506523",
"9727546141524",
"-66671292054788",
"-291760189535999",
"1116731578365699"
] |
[
"sign"
] | 9 | 0 | 3 |
[
"A007440",
"A364744",
"A364760",
"A364761",
"A364762",
"A364763"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-06T11:03:46 |
oeisdata/seq/A364/A364763.seq
|
75fc2a973329d4e1e8b572f79f4a74fd
|
A364764
|
G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 + x*A(x)^4).
|
[
"1",
"1",
"1",
"-2",
"-14",
"-27",
"70",
"625",
"1457",
"-3541",
"-37403",
"-98547",
"207098",
"2564079",
"7448923",
"-12940485",
"-190014459",
"-600991549",
"827159379",
"14802832468",
"50584687754",
"-52159768068",
"-1193457862093",
"-4384199208207",
"3090291576246",
"98618925147291",
"388126462227091"
] |
[
"sign"
] | 9 | 0 | 4 |
[
"A291534",
"A363982",
"A364051",
"A364739",
"A364764"
] | null |
Seiichi Manyama, Aug 05 2023
| 2023-08-06T11:03:36 |
oeisdata/seq/A364/A364764.seq
|
fa85c2b3911b9014cef9f16a73e35fb1
|
A364765
|
G.f. A(x) satisfies A(x) = 1 + x*A(x)^4 / (1 - x*A(x)^5).
|
[
"1",
"1",
"5",
"36",
"304",
"2808",
"27475",
"279845",
"2935987",
"31511097",
"344344868",
"3818320487",
"42855633210",
"485923475563",
"5557803724920",
"64046876264292",
"742908320701832",
"8667090253409215",
"101631581618367133",
"1197190915359577973",
"14160413911721178800"
] |
[
"nonn"
] | 28 | 0 | 3 |
[
"A001006",
"A106228",
"A219537",
"A271469",
"A349331",
"A364747",
"A364765",
"A378952",
"A378954"
] | null |
Seiichi Manyama, Aug 06 2023
| 2024-12-25T05:34:00 |
oeisdata/seq/A364/A364765.seq
|
9db8376eeac67c7d3e48927afbe676ae
|
A364766
|
Products k of 4 distinct primes (or tetraprimes) such that none of k-2, k-1, k+1 and k+2 is squarefree.
|
[
"3774",
"6726",
"10934",
"11726",
"12426",
"13674",
"15042",
"16226",
"17630",
"17974",
"18278",
"18998",
"21574",
"23374",
"23426",
"24038",
"27710",
"27874",
"28826",
"32390",
"34390",
"35074",
"35126",
"37630",
"37774",
"38170",
"38626",
"41210",
"41426",
"46342",
"46774",
"46990",
"47874",
"50518",
"50806",
"51794",
"53074",
"53846"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A013929",
"A046386",
"A364141",
"A364766"
] | null |
Massimo Kofler, Aug 06 2023
| 2023-09-06T21:13:19 |
oeisdata/seq/A364/A364766.seq
|
cdbb78d098fc5afd08082a63f43bdb0b
|
A364767
|
The number of divisors of n that are practical numbers (A005153).
|
[
"1",
"2",
"1",
"3",
"1",
"3",
"1",
"4",
"1",
"2",
"1",
"5",
"1",
"2",
"1",
"5",
"1",
"4",
"1",
"4",
"1",
"2",
"1",
"7",
"1",
"2",
"1",
"4",
"1",
"4",
"1",
"6",
"1",
"2",
"1",
"7",
"1",
"2",
"1",
"6",
"1",
"4",
"1",
"3",
"1",
"2",
"1",
"9",
"1",
"2",
"1",
"3",
"1",
"5",
"1",
"6",
"1",
"2",
"1",
"8",
"1",
"2",
"1",
"7",
"1",
"4",
"1",
"3",
"1",
"2",
"1",
"10",
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"8",
"1",
"2",
"1",
"8",
"1",
"2",
"1",
"5",
"1",
"6",
"1",
"3",
"1",
"2",
"1",
"11",
"1",
"2",
"1",
"5",
"1",
"3",
"1",
"5",
"1"
] |
[
"nonn"
] | 35 | 1 | 2 |
[
"A000005",
"A005153",
"A322860",
"A364767",
"A364768"
] | null |
Marius A. Burtea, Aug 18 2023
| 2024-06-02T14:39:01 |
oeisdata/seq/A364/A364767.seq
|
f5d58ba428c2da8f6bb0454306a73d0c
|
A364768
|
The smallest number k that has exactly n of its divisors in A005153.
|
[
"1",
"2",
"4",
"8",
"12",
"32",
"24",
"60",
"48",
"72",
"96",
"120",
"144",
"420",
"384",
"240",
"432",
"360",
"576",
"480",
"864",
"840",
"1200",
"720",
"1728",
"1800",
"4080",
"1920",
"2400",
"1440",
"4752",
"2160",
"3960",
"2520",
"3600",
"2880",
"5280",
"3360",
"9504",
"4320",
"9240",
"5760",
"12240",
"7200",
"7920",
"5040",
"10800",
"8640",
"19800",
"12600"
] |
[
"nonn"
] | 24 | 1 | 2 |
[
"A000005",
"A005153",
"A364767",
"A364768"
] | null |
Marius A. Burtea, Aug 18 2023
| 2024-09-13T08:07:58 |
oeisdata/seq/A364/A364768.seq
|
896dc03bc63039e15317f02730659c9c
|
A364769
|
Numbers k for which k and the arithmetic derivative k' (A003415) are practical numbers (A005153).
|
[
"2",
"4",
"8",
"12",
"16",
"20",
"28",
"32",
"36",
"48",
"64",
"72",
"80",
"88",
"96",
"100",
"108",
"112",
"128",
"144",
"156",
"160",
"176",
"180",
"192",
"196",
"200",
"208",
"216",
"240",
"252",
"256",
"272",
"276",
"288",
"300",
"304",
"308",
"320",
"324",
"336",
"348",
"352",
"380",
"384",
"392",
"396",
"400",
"420",
"432",
"448",
"456",
"468",
"480",
"496",
"500"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A003415",
"A005153",
"A364769"
] | null |
Marius A. Burtea, Aug 18 2023
| 2023-09-19T17:35:07 |
oeisdata/seq/A364/A364769.seq
|
02cea89f6ad9015497f3c2a114ddb3ea
|
A364770
|
Number of conjugacy classes in the group GL(4,Z_n).
|
[
"1",
"14",
"78",
"306",
"620",
"1092",
"2394",
"5808",
"7164",
"8680",
"14630",
"23868",
"28548",
"33516",
"48360"
] |
[
"nonn",
"more"
] | 5 | 1 | 2 |
[
"A062354",
"A086768",
"A364770"
] | null |
Robin Visser, Aug 06 2023
| 2023-08-06T08:18:02 |
oeisdata/seq/A364/A364770.seq
|
f4c20e8fb56d194066a192f8a043b7ab
|
A364771
|
Order of the symplectic group of 4 X 4 matrices over Z_n.
|
[
"1",
"720",
"51840",
"737280",
"9360000",
"37324800",
"276595200",
"754974720",
"3061100160",
"6739200000",
"25721308800",
"38220595200",
"137037962880",
"199148544000",
"485222400000",
"773094113280",
"2008994088960",
"2203992115200",
"6114035779200",
"6900940800000",
"14338695168000",
"18519342336000",
"41348052472320"
] |
[
"nonn",
"mult"
] | 13 | 1 | 2 |
[
"A011786",
"A305186",
"A364771"
] | null |
Robin Visser, Aug 06 2023
| 2023-08-07T02:12:37 |
oeisdata/seq/A364/A364771.seq
|
6fa0d8539ba063e7411c82f27bbbc4bb
|
A364772
|
Square array A(n, k), n, k > 0, read and filled in the greedy way by downwards antidiagonals with distinct positive integers such that for any v > 0, the value 2*v appears in the same row as the value v, and the value 2*v + 1 appears in the same column as the value v.
|
[
"1",
"2",
"3",
"4",
"5",
"7",
"8",
"6",
"11",
"15",
"16",
"10",
"9",
"23",
"31",
"32",
"12",
"14",
"13",
"47",
"63",
"64",
"20",
"18",
"17",
"19",
"95",
"127",
"128",
"24",
"22",
"25",
"21",
"27",
"191",
"255",
"256",
"40",
"28",
"26",
"33",
"29",
"39",
"383",
"511",
"512",
"48",
"36",
"30",
"38",
"37",
"35",
"55",
"767",
"1023",
"1024",
"80",
"44",
"34",
"42",
"41",
"51",
"43",
"79",
"1535",
"2047"
] |
[
"nonn",
"tabl"
] | 10 | 1 | 2 |
[
"A364772",
"A364775"
] | null |
Rémy Sigrist, Aug 06 2023
| 2023-08-20T12:13:47 |
oeisdata/seq/A364/A364772.seq
|
551b86ae197f0294d401df37c7c0dd3b
|
A364773
|
a(n) is the periodic part on the n-th diagonal from the right of rule-30 1-D cellular automaton, when started from a single ON cell.
|
[
"1",
"10",
"10",
"1100",
"10110100",
"10101000",
"1010011101011000",
"11001010101011110011010101010000",
"10111010011010101101010101010000",
"1010110010110101010110011001111101010011010010101010011001100000",
"1010101110101100101010010110101011010010101101010110010110100000"
] |
[
"nonn"
] | 20 | 1 | 2 |
[
"A070950",
"A094605",
"A363343",
"A364773",
"A364774"
] | null |
Paolo Xausa, Aug 06 2023
| 2025-02-16T08:34:06 |
oeisdata/seq/A364/A364773.seq
|
643e1feee3dbc4d7da7181cf6bfd0a3a
|
A364774
|
a(n) is the periodic part (converted to base 10) on the n-th diagonal from the right of rule-30 1-D cellular automaton, when started from a single ON cell.
|
[
"1",
"2",
"2",
"12",
"180",
"168",
"42840",
"3400480080",
"3127563600",
"12444951686140307040",
"12370448552746640800",
"14616061688484808000",
"13063440952988449472",
"12291672850370833024",
"11994012329620187776",
"270303456443855225105637298999007589120",
"84431359962367713768426673527546762857531371484724067759478650915353749433600"
] |
[
"nonn",
"base"
] | 17 | 1 | 2 |
[
"A070950",
"A094605",
"A363343",
"A364773",
"A364774"
] | null |
Paolo Xausa, Aug 06 2023
| 2023-08-28T12:02:12 |
oeisdata/seq/A364/A364774.seq
|
2873ccfcb65dbb898819f4064ad2c5ec
|
A364775
|
Inverse permutation to A364772.
|
[
"1",
"2",
"3",
"4",
"5",
"8",
"6",
"7",
"13",
"12",
"9",
"17",
"19",
"18",
"10",
"11",
"25",
"24",
"26",
"23",
"33",
"31",
"14",
"30",
"32",
"40",
"34",
"39",
"42",
"49",
"15",
"16",
"41",
"59",
"52",
"48",
"51",
"50",
"43",
"38",
"61",
"60",
"63",
"58",
"73",
"70",
"20",
"47",
"72",
"82",
"62",
"95",
"86",
"84",
"53",
"69",
"85",
"97",
"75",
"109",
"99",
"71",
"21",
"22",
"100",
"83",
"74"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A364772",
"A364775"
] | null |
Rémy Sigrist, Aug 06 2023
| 2023-09-20T12:21:32 |
oeisdata/seq/A364/A364775.seq
|
20437db95b2db53361d4b31dc5959dae
|
A364776
|
Lexicographically least increasing sequence of triprimes whose first differences are semiprimes.
|
[
"8",
"12",
"18",
"27",
"42",
"52",
"66",
"70",
"76",
"98",
"102",
"116",
"125",
"147",
"153",
"174",
"188",
"222",
"231",
"245",
"255",
"261",
"275",
"279",
"285",
"310",
"316",
"322",
"332",
"338",
"363",
"369",
"402",
"406",
"410",
"425",
"429",
"435",
"470",
"474",
"483",
"498",
"507",
"556",
"578",
"582",
"596",
"602",
"606",
"610",
"645",
"651",
"657",
"663",
"678",
"682",
"692",
"725",
"747",
"762",
"772",
"782"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A001358",
"A014612",
"A364776"
] | null |
Zak Seidov and Robert Israel, Aug 06 2023
| 2023-08-12T00:43:49 |
oeisdata/seq/A364/A364776.seq
|
4f3efa61648e8629caeeccdbb95cee6d
|
A364777
|
a(n) = (n^2)!*(n!)^2/(2*n-1)!.
|
[
"1",
"16",
"108864",
"2391175987200",
"615524208068689920000000",
"4831082166102613213870122703257600000000",
"2481336275198061145749280386508780674949224836628480000000000"
] |
[
"nonn"
] | 24 | 1 | 2 | null | null |
Sela Fried, Aug 07 2023
| 2023-08-08T04:33:21 |
oeisdata/seq/A364/A364777.seq
|
66ef3630906ab3dd906bcb54523f5ef4
|
A364778
|
Products of two distinct strong primes.
|
[
"121",
"187",
"289",
"319",
"407",
"451",
"493",
"629",
"649",
"697",
"737",
"781",
"841",
"869",
"1003",
"1067",
"1073",
"1111",
"1139",
"1177",
"1189",
"1207",
"1343",
"1369",
"1397",
"1507",
"1517",
"1639",
"1649",
"1681",
"1711",
"1717",
"1793",
"1819",
"1943",
"1969",
"2059",
"2101",
"2159",
"2167",
"2183",
"2291",
"2329",
"2419",
"2453",
"2479",
"2497",
"2533",
"2627",
"2629",
"2747"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A001358",
"A051634",
"A363167",
"A363782",
"A364778"
] | null |
Massimo Kofler, Aug 07 2023
| 2023-10-08T09:45:46 |
oeisdata/seq/A364/A364778.seq
|
998bd510c24cf16698a6c79980003d97
|
A364779
|
Largest integer with sum of digits n in fractional base 4/3.
|
[
"0",
"1",
"2",
"4",
"5",
"8",
"16",
"17",
"32",
"44",
"80",
"256",
"257",
"344",
"460",
"464",
"620",
"1472",
"1964",
"2620",
"2624",
"3500",
"6224",
"8300",
"11068",
"11072",
"26240",
"34988",
"46652",
"262144",
"262145",
"349528",
"349529",
"466040",
"621392",
"828524",
"1104700",
"1532816",
"3633344",
"6459280",
"6459281",
"11483168",
"19616912"
] |
[
"nonn",
"base"
] | 28 | 0 | 3 |
[
"A024631",
"A244041",
"A357425",
"A364779",
"A364780"
] | null |
Kevin Ryde, Aug 13 2023
| 2024-12-19T11:45:36 |
oeisdata/seq/A364/A364779.seq
|
22f933946ce8adb40c8685f3d177043b
|
A364780
|
Number of numbers with sum of digits n in fractional base 4/3.
|
[
"1",
"1",
"1",
"2",
"1",
"2",
"4",
"3",
"5",
"6",
"7",
"14",
"13",
"15",
"19",
"19",
"30",
"39",
"45",
"56",
"65",
"75",
"95",
"124",
"140",
"174",
"216",
"268",
"338",
"417",
"501",
"627",
"780",
"974",
"1203",
"1454",
"1825",
"2266",
"2769",
"3427",
"4268",
"5188",
"6433",
"7930",
"9671",
"12000",
"14738",
"18265",
"22642",
"27961",
"34528",
"42523",
"52325",
"64425"
] |
[
"nonn",
"base"
] | 21 | 0 | 4 |
[
"A024631",
"A244041",
"A245356",
"A357425",
"A364779",
"A364780"
] | null |
Kevin Ryde, Aug 13 2023
| 2024-12-19T11:45:36 |
oeisdata/seq/A364/A364780.seq
|
5c62632fa5a6b91a2f1b03c4fa789c33
|
A364781
|
Triangular array read by rows: T(n, k) is the number of zero-energy states from the partition function in the Ising model for a finite n*k square lattice with periodic boundary conditions.
|
[
"0",
"2",
"12",
"0",
"26",
"0",
"2",
"100",
"1346",
"20524",
"0",
"322",
"0",
"272682",
"0",
"2",
"1188",
"72824",
"3961300",
"226137622",
"13172279424",
"0",
"4258",
"0",
"58674450",
"0",
"777714553240",
"0",
"2",
"15876",
"3968690",
"876428620",
"199376325322",
"46463664513012",
"10990445640557042",
"2627978003957146636",
"0",
"59138",
"0",
"13184352554",
"0",
"2799323243348702",
"0",
"633566123999182005386",
"0"
] |
[
"nonn",
"tabl"
] | 54 | 1 | 2 |
[
"A001411",
"A002931",
"A010566",
"A241023",
"A364781"
] | null |
Thomas Scheuerle, Aug 07 2023
| 2024-02-01T02:51:58 |
oeisdata/seq/A364/A364781.seq
|
ec0f2ff4d627e1bb0d5104b0794e1fc7
|
A364782
|
Order of the general symplectic group of 6 X 6 matrices over Z_n.
|
[
"1",
"1451520",
"18341406720",
"6088116142080",
"1828008000000000",
"26622918682214400",
"3281486623259443200",
"25535409887190712320",
"575572777593233172480",
"2653390172160000000000",
"73385854415869121280000",
"111664614320486586777600",
"2947127504061746732912640",
"4763143463393546993664000"
] |
[
"nonn",
"mult"
] | 11 | 1 | 2 |
[
"A294705",
"A364782",
"A364783"
] | null |
Robin Visser, Aug 07 2023
| 2023-08-08T03:22:25 |
oeisdata/seq/A364/A364782.seq
|
b98f2081320e432ba36b965faa25939a
|
A364783
|
Order of the symplectic group of 6 X 6 matrices over Z_n.
|
[
"1",
"1451520",
"9170703360",
"3044058071040",
"457002000000000",
"13311459341107200",
"546914437209907200",
"6383852471797678080",
"95928796265538862080",
"663347543040000000000",
"7338585441586912128000",
"27916153580121646694400",
"245593958671812227742720",
"793857243898924498944000"
] |
[
"nonn",
"mult"
] | 12 | 1 | 2 |
[
"A364771",
"A364782",
"A364783"
] | null |
Robin Visser, Aug 07 2023
| 2023-08-08T03:22:29 |
oeisdata/seq/A364/A364783.seq
|
d67484826a9b65a3b24224c3b8472366
|
A364784
|
a(n) = n for n <= 2. Thereafter if a(n-1) is a novel term, a(n) = a(a(k)) where k is the greatest prior term < a(n-1); otherwise, a(n) = number of times a(n-1) has been repeated.
|
[
"1",
"2",
"1",
"1",
"2",
"1",
"3",
"2",
"2",
"3",
"1",
"4",
"1",
"5",
"1",
"6",
"2",
"4",
"1",
"7",
"1",
"8",
"3",
"2",
"5",
"1",
"9",
"2",
"6",
"1",
"10",
"2",
"7",
"1",
"11",
"3",
"3",
"4",
"2",
"8",
"1",
"12",
"1",
"13",
"4",
"3",
"5",
"2",
"9",
"1",
"14",
"1",
"15",
"5",
"3",
"6",
"2",
"10",
"1",
"16",
"1",
"17",
"6",
"3",
"7",
"2",
"11",
"1",
"18",
"2",
"12",
"1",
"19",
"4",
"4",
"5",
"4",
"6",
"4",
"7",
"3",
"8",
"2"
] |
[
"nonn",
"tabf"
] | 26 | 1 | 2 |
[
"A000027",
"A364749",
"A364784"
] | null |
David James Sycamore, Aug 07 2023
| 2025-06-21T01:56:54 |
oeisdata/seq/A364/A364784.seq
|
0abfb720a88a3bb03e6a0c6f8522948b
|
A364785
|
Primes whose binary representation has more 1-bits than its cube.
|
[
"445317119867",
"28498383073019",
"114304774692347",
"7594322375176157"
] |
[
"nonn",
"base",
"more"
] | 7 | 1 | 1 |
[
"A000040",
"A000120",
"A138597",
"A192085",
"A363799",
"A364785"
] | null |
Martin Ehrenstein, Aug 07 2023
| 2023-08-07T11:27:49 |
oeisdata/seq/A364/A364785.seq
|
9ce1493652a32fe1e7a531132b737292
|
A364786
|
We exclude powers of 10 and numbers of the form 11...111 in which the number of 1's is a power of 10. Then a(n) is the smallest number (not excluded) whose trajectory under iteration of "x -> sum of n-th powers of digits of x" reaches 1.
|
[
"19",
"7",
"112",
"11123",
"1111222",
"111111245666689",
"1111133333333335",
"1111122333333333333333333346677777777888",
"22222222222222222226666668888888",
"233444445555555555555555555555555555555555555555555577",
"1222222222233333333333333444444444455555555555555556666666666666666666666677778888889"
] |
[
"nonn",
"base"
] | 40 | 1 | 1 |
[
"A007770",
"A035497",
"A046519",
"A364786"
] | null |
Simon R Blow, Aug 07 2023
| 2023-09-15T04:14:29 |
oeisdata/seq/A364/A364786.seq
|
9354cbefc7bdf0c6ea34a209f82c6de0
|
A364787
|
a(n) is the stabilization index of the prime ladder [P(n,k) : k >= 0].
|
[
"0",
"1",
"3",
"2",
"7",
"6",
"17",
"17",
"19",
"18",
"13",
"13",
"11",
"11",
"47",
"46",
"39",
"39",
"59",
"59",
"68",
"68",
"71",
"71",
"61",
"61",
"60",
"59",
"56",
"55",
"49",
"49",
"47",
"47",
"334",
"333",
"508",
"508",
"488",
"488",
"466",
"466",
"423",
"423",
"512",
"512",
"488",
"488",
"468",
"468",
"450",
"450",
"696",
"696",
"652",
"652",
"639",
"638",
"613",
"613"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A000040",
"A001223",
"A002386",
"A005250",
"A364787"
] | null |
Eduard Roure Perdices, Aug 07 2023
| 2023-08-30T11:04:23 |
oeisdata/seq/A364/A364787.seq
|
2f289cf5b0e093a859256177ae094aa9
|
A364788
|
a(0) = 0; thereafter a(n) is the number of times the last digit of a(n-1) has occurred as last digit in all terms prior to a(n-1).
|
[
"0",
"0",
"1",
"0",
"2",
"0",
"3",
"0",
"4",
"0",
"5",
"0",
"6",
"0",
"7",
"0",
"8",
"0",
"9",
"0",
"10",
"11",
"1",
"2",
"1",
"3",
"1",
"4",
"1",
"5",
"1",
"6",
"1",
"7",
"1",
"8",
"1",
"9",
"1",
"10",
"12",
"2",
"3",
"2",
"4",
"2",
"5",
"2",
"6",
"2",
"7",
"2",
"8",
"2",
"9",
"2",
"10",
"13",
"3",
"4",
"3",
"5",
"3",
"6",
"3",
"7",
"3",
"8",
"3",
"9",
"3",
"10",
"14",
"4",
"5",
"4",
"6",
"4",
"7",
"4",
"8",
"4",
"9",
"4",
"10"
] |
[
"nonn",
"base"
] | 40 | 0 | 5 |
[
"A248034",
"A364788"
] | null |
David James Sycamore, Aug 07 2023
| 2025-03-24T11:40:04 |
oeisdata/seq/A364/A364788.seq
|
fbf0a5feed3d385cf2fa4678befb78fa
|
A364789
|
Initial digit of (n^n)^n (A002489(n)).
|
[
"1",
"1",
"1",
"1",
"4",
"2",
"1",
"2",
"6",
"1",
"1",
"1",
"2",
"1",
"4",
"4",
"1",
"3",
"5",
"4",
"2",
"1",
"5",
"2",
"1",
"5",
"3",
"2",
"3",
"7",
"2",
"1",
"1",
"4",
"2",
"3",
"9",
"7",
"1",
"1",
"1",
"1",
"2",
"1",
"5",
"5",
"2",
"4",
"3",
"1",
"2",
"2",
"1",
"3",
"4",
"3",
"2",
"6",
"1",
"2",
"2",
"1",
"8",
"3",
"1",
"3",
"8",
"1",
"3",
"5",
"9",
"1",
"2",
"4",
"8",
"1",
"3",
"1",
"3",
"1",
"5",
"3",
"3",
"3",
"5",
"1",
"3"
] |
[
"base",
"easy",
"nonn"
] | 58 | 0 | 5 |
[
"A000030",
"A002489",
"A229522",
"A241299",
"A363746",
"A364789",
"A364837",
"A364855"
] | null |
Marco Ripà, Aug 08 2023
| 2024-01-31T03:59:07 |
oeisdata/seq/A364/A364789.seq
|
16b2260e433261765573d3f4644fc4bf
|
A364790
|
Triangle read by rows: T(n, k) is the number of n X n symmetric Toeplitz matrices of rank k using all the integers 0, 1, 2, ..., n-1.
|
[
"1",
"0",
"2",
"0",
"0",
"6",
"0",
"0",
"1",
"23",
"0",
"0",
"0",
"0",
"120",
"0",
"0",
"0",
"0",
"2",
"718",
"0",
"0",
"0",
"0",
"4",
"31",
"5005",
"0",
"0",
"0",
"0",
"0",
"2",
"44",
"40274",
"0",
"0",
"0",
"0",
"0",
"0",
"4",
"284",
"362592",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"111",
"769",
"3627920",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"14",
"244",
"7056",
"39909484",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"4",
"64",
"742",
"9667",
"478991123"
] |
[
"nonn",
"tabl"
] | 13 | 1 | 3 |
[
"A000142",
"A358323",
"A358324",
"A358326",
"A358327",
"A364790",
"A364791"
] | null |
Stefano Spezia, Aug 08 2023
| 2024-01-08T01:09:18 |
oeisdata/seq/A364/A364790.seq
|
9996f21dacb1486f3975f084b4226489
|
A364791
|
a(n) is the number of n X n nonsingular symmetric Toeplitz matrices using all the integers 0, 1, 2, ..., n-1.
|
[
"1",
"2",
"6",
"23",
"120",
"718",
"5005",
"40274",
"362592",
"3627920",
"39909484",
"478991123"
] |
[
"nonn",
"hard",
"more"
] | 10 | 1 | 2 |
[
"A358323",
"A358324",
"A358326",
"A358327",
"A364790",
"A364791"
] | null |
Stefano Spezia, Aug 08 2023
| 2024-01-08T01:09:35 |
oeisdata/seq/A364/A364791.seq
|
0828d4ae5ac418b4536177b16a797d04
|
A364792
|
G.f. satisfies A(x) = 1 + x*A(x)^4 / (1 - x*A(x)^2).
|
[
"1",
"1",
"5",
"33",
"250",
"2054",
"17800",
"160183",
"1482535",
"14022415",
"134943095",
"1317046306",
"13005842030",
"129708875695",
"1304588594925",
"13217663310305",
"134775670244250",
"1382019265706377",
"14242560597119165",
"147435736533094415",
"1532365596794307010"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A002293",
"A243659",
"A349331",
"A364747",
"A364765",
"A364792"
] | null |
Seiichi Manyama, Aug 08 2023
| 2023-08-10T04:12:02 |
oeisdata/seq/A364/A364792.seq
|
6c3fc54e460364ca71ef15721c96190a
|
A364793
|
Number of partitions of n with at most four part sizes.
|
[
"1",
"1",
"2",
"3",
"5",
"7",
"11",
"15",
"22",
"30",
"42",
"56",
"77",
"101",
"135",
"175",
"229",
"292",
"375",
"470",
"591",
"733",
"905",
"1103",
"1343",
"1615",
"1938",
"2309",
"2726",
"3211",
"3758",
"4379",
"5069",
"5865",
"6716",
"7694",
"8769",
"9967",
"11254",
"12732",
"14264",
"16025",
"17877",
"19959",
"22149",
"24605",
"27147",
"30012",
"33006",
"36294",
"39742",
"43573",
"47524"
] |
[
"nonn"
] | 20 | 0 | 3 |
[
"A116608",
"A265250",
"A309058",
"A364793",
"A364809",
"A365630"
] | null |
Seiichi Manyama, Sep 14 2023
| 2023-09-14T12:37:56 |
oeisdata/seq/A364/A364793.seq
|
9769f7d4ccefd5c842b8ffd1d5870978
|
A364794
|
Number of distinct binary arrays of size n X n with respect to isometric transformations.
|
[
"1",
"2",
"6",
"86",
"7626",
"3956996",
"8326366368",
"69277957195904",
"2287898999182608384",
"301053169143557925650432",
"158147142250171927345054089216",
"331982638848895606930198405868158976",
"2786232352655643085145552249123037486514176"
] |
[
"nonn",
"more"
] | 37 | 0 | 2 |
[
"A054247",
"A255016",
"A364794"
] | null |
Johnny Sammon, Aug 08 2023
| 2023-09-13T23:17:25 |
oeisdata/seq/A364/A364794.seq
|
4db5a4d8df44d65937bbb5211ff784e7
|
A364795
|
a(n) is the number of different sets of integer angles (in degrees) of an n-gon.
|
[
"2700",
"326700",
"30072240",
"2310019204",
"153386909107",
"8992986080669",
"472639425224952",
"22527596153829699",
"982894927341908652",
"39558851030444690174",
"1478190132737137934278",
"51565891712505592101318",
"1687373867784860474568905",
"52009861116025253683005899"
] |
[
"nonn"
] | 34 | 3 | 1 |
[
"A000041",
"A000096",
"A008284",
"A008289",
"A066164",
"A364795"
] | null |
Felix Huber, Aug 08 2023
| 2023-11-08T06:52:20 |
oeisdata/seq/A364/A364795.seq
|
2091d253a47eb4fa7c0e031d4834df40
|
A364796
|
Numbers k such that the sum of the first k prime powers (not including 1) is a prime power.
|
[
"1",
"2",
"3",
"6",
"8",
"13",
"18",
"20",
"22",
"37",
"41",
"43",
"46",
"62",
"87",
"89",
"95",
"99",
"111",
"115",
"118",
"124",
"130",
"146",
"150",
"160",
"164",
"168",
"180",
"192",
"201",
"205",
"211",
"221",
"263",
"283",
"287",
"315",
"339",
"352",
"356",
"364",
"396",
"398",
"408",
"418",
"434",
"442",
"450",
"476",
"508",
"512",
"526",
"534",
"536",
"548",
"556",
"582"
] |
[
"nonn"
] | 18 | 1 | 2 |
[
"A013916",
"A013919",
"A013930",
"A246655",
"A364796",
"A364797"
] | null |
Ilya Gutkovskiy, Aug 08 2023
| 2025-06-20T08:09:52 |
oeisdata/seq/A364/A364796.seq
|
235aa4128234454b598639e5dc4ebcb9
|
A364797
|
Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.
|
[
"2",
"5",
"9",
"29",
"49",
"137",
"281",
"359",
"449",
"1579",
"2029",
"2281",
"2677",
"5519",
"12527",
"13229",
"15451",
"17047",
"22409",
"24389",
"25931",
"29191",
"32687",
"42937",
"45757",
"53239",
"56443",
"59743",
"70201",
"81677",
"90863",
"95087",
"101627",
"113111",
"169343",
"200407",
"206911",
"256049",
"302977",
"330133",
"338707",
"356263"
] |
[
"nonn"
] | 14 | 1 | 1 |
[
"A013918",
"A013921",
"A013932",
"A246655",
"A364796",
"A364797"
] | null |
Ilya Gutkovskiy, Aug 08 2023
| 2025-06-20T08:09:36 |
oeisdata/seq/A364/A364797.seq
|
1d3815f7979a1066f78ff4320081b324
|
A364798
|
Triangular numbers that for some k >= 1 are also the sum of the first k noncomposite numbers (1 together with the primes).
|
[
"1",
"3",
"6",
"78",
"448516225",
"448254714630193471"
] |
[
"nonn",
"more"
] | 9 | 1 | 2 |
[
"A000217",
"A008578",
"A014284",
"A066527",
"A110996",
"A364798",
"A364799"
] | null |
Ilya Gutkovskiy, Aug 08 2023
| 2023-08-12T01:17:22 |
oeisdata/seq/A364/A364798.seq
|
b5e1ed1b2d1dd39cdb8378410b1340d1
|
A364799
|
Triangular numbers that for some k >= 1 are also the sum of the first k odd primes.
|
[
"3",
"15",
"1236378",
"1454365",
"3541791",
"104856921",
"2677839153",
"3656187921870",
"3973810409128",
"1448587865213374600",
"36691639282445615088081"
] |
[
"nonn",
"more"
] | 12 | 1 | 1 |
[
"A000217",
"A065091",
"A066527",
"A071148",
"A364798",
"A364799"
] | null |
Ilya Gutkovskiy, Aug 08 2023
| 2023-08-23T08:35:42 |
oeisdata/seq/A364/A364799.seq
|
7301a9d15caaf89e82c1009287f48ec3
|
A364800
|
The number of iterations that n requires to reach 1 under the map x -> A356874(x).
|
[
"0",
"1",
"2",
"2",
"3",
"3",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"4",
"4",
"4",
"4",
"4",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5",
"5"
] |
[
"nonn",
"base",
"easy"
] | 9 | 1 | 3 |
[
"A003434",
"A356874",
"A364800",
"A364801"
] | null |
Amiram Eldar, Aug 08 2023
| 2023-08-09T02:14:33 |
oeisdata/seq/A364/A364800.seq
|
428cf925a2a627ffff9e589e92fefcdd
|
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