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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A355001
|
Smallest common prime factor of A003961(n) and A276086(n), or 1 if they are coprime, where A003961 is fully multiplicative with a(p) = nextprime(p), and A276086 is primorial base exp-function.
|
[
"1",
"3",
"1",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"7",
"1",
"3",
"1",
"3",
"7",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"7",
"3",
"5",
"3",
"1",
"7",
"1",
"3",
"1",
"3",
"7",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"7",
"3",
"5",
"3",
"1",
"7",
"1",
"3",
"1",
"3",
"7",
"5",
"1",
"3",
"5",
"3",
"1",
"5",
"1",
"3",
"5"
] |
[
"nonn"
] | 9 | 1 | 2 |
[
"A003961",
"A020639",
"A276086",
"A284723",
"A355001",
"A355442",
"A355820",
"A355821"
] | null |
Antti Karttunen, Jul 13 2022
| 2022-07-18T16:38:43 |
oeisdata/seq/A355/A355001.seq
|
311387209928f6af293907cb89d7b63f
|
A355002
|
Numbers k that share a prime factor with A355456(k).
|
[
"135",
"140",
"285",
"435",
"455",
"675",
"700",
"855",
"885",
"910",
"945",
"980",
"1120",
"1185",
"1305",
"1335",
"1365",
"1425",
"1435",
"1485",
"1540",
"1635",
"1755",
"1820",
"1995",
"2085",
"2175",
"2235",
"2275",
"2295",
"2380",
"2565",
"2574",
"2655",
"2660",
"2685",
"2870",
"2905",
"2985",
"3045",
"3105",
"3135",
"3185",
"3220",
"3311",
"3375",
"3395",
"3435",
"3500",
"3555",
"3585",
"3640",
"3705",
"3915",
"4005"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A000203",
"A003961",
"A276086",
"A324584",
"A324644",
"A342671",
"A349166",
"A351459",
"A355002",
"A355442",
"A355456"
] | null |
Antti Karttunen, Jul 13 2022
| 2022-07-17T15:21:00 |
oeisdata/seq/A355/A355002.seq
|
22b701db68633c96b36e78d25051d155
|
A355003
|
a(n) = gcd(A003415(n), A277791(n)), where A003415 is the arithmetic derivative and A277791 is the denominator of sum of reciprocals of proper divisors of n.
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"3",
"1",
"1",
"4",
"1",
"1",
"1",
"8",
"1",
"3",
"1",
"4",
"1",
"1",
"1",
"4",
"5",
"1",
"9",
"4",
"1",
"1",
"1",
"16",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"4",
"3",
"1",
"1",
"16",
"7",
"5",
"1",
"4",
"1",
"27",
"1",
"4",
"1",
"1",
"1",
"4",
"1",
"1",
"3",
"32",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"12",
"1",
"1",
"5",
"4",
"1",
"1",
"1",
"16",
"27",
"1",
"1",
"4",
"1",
"1",
"1",
"4",
"1",
"3",
"1",
"4",
"1",
"1",
"1",
"16",
"1",
"7",
"3",
"5",
"1",
"1",
"1",
"4",
"1"
] |
[
"nonn"
] | 8 | 1 | 4 |
[
"A003415",
"A277791",
"A355003",
"A355815"
] | null |
Antti Karttunen, Jul 18 2022
| 2022-07-18T16:38:49 |
oeisdata/seq/A355/A355003.seq
|
2f3fc8664828d396d07a44862bcfb0fa
|
A355004
|
a(n) = Sum_{k=0..n} A271703(k + n, n), row sums of A355005.
|
[
"1",
"3",
"43",
"1333",
"63321",
"4034341",
"321994723",
"30869387193",
"3454384526353",
"441903886812721",
"63608031487665171",
"10174227287873082853",
"1790258521269694523113",
"343669522619597368671933",
"71473405251333054552561091",
"16008271911444915765782477041",
"3841639137772270982094393928353"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A187535",
"A271703",
"A355004",
"A355005"
] | null |
Peter Luschny, Jun 15 2022
| 2025-03-22T20:43:27 |
oeisdata/seq/A355/A355004.seq
|
8d45208a3e54d492ad59f1fd4f7fe956
|
A355005
|
Table read by rows. T(n, k) = n*((k + n)!)^2/((k + n)*(n!)^2*k!) for n > 0 and T(0, 0) = 1.
|
[
"1",
"1",
"2",
"1",
"6",
"36",
"1",
"12",
"120",
"1200",
"1",
"20",
"300",
"4200",
"58800",
"1",
"30",
"630",
"11760",
"211680",
"3810240",
"1",
"42",
"1176",
"28224",
"635040",
"13970880",
"307359360",
"1",
"56",
"2016",
"60480",
"1663200",
"43908480",
"1141620480",
"29682132480",
"1",
"72",
"3240",
"118800",
"3920400",
"122316480",
"3710266560",
"111307996800",
"3339239904000"
] |
[
"nonn",
"tabl"
] | 6 | 0 | 3 |
[
"A002378",
"A187535",
"A271703",
"A355004",
"A355005"
] | null |
Peter Luschny, Jun 15 2022
| 2022-06-15T11:52:52 |
oeisdata/seq/A355/A355005.seq
|
6132e19cb06fcbd0339c644c4781ec35
|
A355006
|
Triangle read by rows. T(n, k) = n^(n - k) * |Stirling1(n, k)|.
|
[
"1",
"0",
"1",
"0",
"2",
"1",
"0",
"18",
"9",
"1",
"0",
"384",
"176",
"24",
"1",
"0",
"15000",
"6250",
"875",
"50",
"1",
"0",
"933120",
"355104",
"48600",
"3060",
"90",
"1",
"0",
"84707280",
"29647548",
"3899224",
"252105",
"8575",
"147",
"1",
"0",
"10569646080",
"3425697792",
"430309376",
"27725824",
"1003520",
"20608",
"224",
"1"
] |
[
"nonn",
"tabl"
] | 8 | 0 | 5 |
[
"A006002",
"A092985",
"A152684",
"A355006",
"A355007"
] | null |
Peter Luschny, Jun 17 2022
| 2022-06-17T03:43:22 |
oeisdata/seq/A355/A355006.seq
|
72f0ba9cf6e0aa3666845b10adb43f45
|
A355007
|
Triangle read by rows. T(n, k) = n^k * |Stirling1(n, k)|.
|
[
"1",
"0",
"1",
"0",
"2",
"4",
"0",
"6",
"27",
"27",
"0",
"24",
"176",
"384",
"256",
"0",
"120",
"1250",
"4375",
"6250",
"3125",
"0",
"720",
"9864",
"48600",
"110160",
"116640",
"46656",
"0",
"5040",
"86436",
"557032",
"1764735",
"2941225",
"2470629",
"823543",
"0",
"40320",
"836352",
"6723584",
"27725824",
"64225280",
"84410368",
"58720256",
"16777216"
] |
[
"nonn",
"tabl"
] | 15 | 0 | 5 |
[
"A000142",
"A000312",
"A000407",
"A133942",
"A355006",
"A355007"
] | null |
Peter Luschny, Jun 17 2022
| 2023-03-31T05:21:13 |
oeisdata/seq/A355/A355007.seq
|
379db89d51d6d79674d2d0f047059558
|
A355008
|
Triangle T(n, k), n > 0, k = 1..n, read by rows; each row contains the smallest distinct positive integers (in ascending order) such that a term of row n times a term of row n+1 does not appear in row n+2.
|
[
"1",
"1",
"2",
"3",
"4",
"5",
"1",
"2",
"7",
"9",
"1",
"2",
"7",
"9",
"11",
"3",
"5",
"6",
"8",
"10",
"12",
"1",
"2",
"4",
"7",
"9",
"11",
"13",
"1",
"2",
"4",
"7",
"9",
"11",
"13",
"14",
"3",
"5",
"6",
"10",
"12",
"15",
"17",
"19",
"20",
"1",
"2",
"4",
"7",
"8",
"9",
"11",
"13",
"14",
"16",
"1",
"2",
"4",
"7",
"8",
"9",
"11",
"13",
"14",
"16",
"18",
"3",
"5",
"6",
"10",
"12",
"15",
"17",
"19",
"20",
"21",
"23",
"24"
] |
[
"nonn",
"tabl"
] | 18 | 1 | 3 |
[
"A135018",
"A355008"
] | null |
Rémy Sigrist, Jun 15 2022
| 2022-06-18T08:42:46 |
oeisdata/seq/A355/A355008.seq
|
89e2190aac3ed71fe5bc25d2f08eadfb
|
A355009
|
Primes in A354975.
|
[
"2",
"47",
"173",
"317",
"409",
"967",
"3877",
"6173",
"6449",
"14401",
"16477",
"18257",
"28183",
"30119",
"73561",
"76607",
"86579",
"90227",
"92867",
"97987",
"110777",
"112663",
"114749",
"117671",
"121553",
"130069",
"136033",
"141403",
"144671",
"190891",
"205129",
"207301",
"208283",
"216481",
"221677",
"229199",
"235337",
"231223",
"261347",
"265123",
"281191",
"311473"
] |
[
"nonn"
] | 16 | 1 | 1 |
[
"A354972",
"A354975",
"A355009"
] | null |
J. M. Bergot and Robert Israel, Jun 15 2022
| 2022-06-20T15:39:54 |
oeisdata/seq/A355/A355009.seq
|
b418d3b1ea79b7c77cbe8592545b9e85
|
A355010
|
Array read by ascending antidiagonals: T(n, k) is the number of n-core partitions with k corners.
|
[
"1",
"3",
"1",
"6",
"5",
"1",
"10",
"16",
"7",
"1",
"15",
"40",
"31",
"9",
"1",
"21",
"85",
"105",
"51",
"11",
"1",
"28",
"161",
"295",
"219",
"76",
"13",
"1",
"36",
"280",
"721",
"771",
"396",
"106",
"15",
"1",
"45",
"456",
"1582",
"2331",
"1681",
"650",
"141",
"17",
"1",
"55",
"705",
"3186",
"6244",
"6083",
"3235",
"995",
"181",
"19",
"1",
"66",
"1045",
"5985",
"15156",
"19348",
"13663",
"5685",
"1445",
"226",
"21",
"1"
] |
[
"nonn",
"tabl"
] | 11 | 2 | 2 |
[
"A000012",
"A001263",
"A005408",
"A005891",
"A006007",
"A063490",
"A160747",
"A161680",
"A355010",
"A355011"
] | null |
Stefano Spezia, Jun 15 2022
| 2022-07-02T14:51:28 |
oeisdata/seq/A355/A355010.seq
|
0b3042e51db30240c8b89adfc169539c
|
A355011
|
Array read by ascending antidiagonals: T(n, k) is the number of self-conjugate n-core partitions with k corners.
|
[
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"4",
"1",
"1",
"3",
"4",
"5",
"1",
"1",
"3",
"9",
"5",
"7",
"1",
"1",
"4",
"9",
"15",
"7",
"8",
"1",
"1",
"4",
"16",
"15",
"27",
"8",
"10",
"1",
"1",
"5",
"16",
"34",
"27",
"37",
"10",
"11",
"1",
"1",
"5",
"25",
"34",
"76",
"37",
"55",
"11",
"13",
"1",
"1",
"6",
"25",
"65",
"76",
"124",
"55",
"69",
"13",
"14",
"1",
"1",
"6",
"36",
"65",
"175",
"124",
"216",
"69",
"93",
"14",
"16",
"1",
"1"
] |
[
"nonn",
"tabl"
] | 13 | 2 | 4 |
[
"A000012",
"A001651",
"A004526",
"A008794",
"A247643",
"A355010",
"A355011"
] | null |
Stefano Spezia, Jun 15 2022
| 2022-07-02T14:51:47 |
oeisdata/seq/A355/A355011.seq
|
98529937851c9a90040c047e73d4b2b5
|
A355012
|
Prime powers (p^k, k >= 2) in A090252 in order of appearance.
|
[
"4",
"9",
"8",
"25",
"16",
"27",
"49",
"121",
"32",
"169",
"125",
"289",
"81",
"361",
"529",
"64",
"841",
"343",
"961",
"128",
"1369",
"1681",
"1849",
"2209",
"243",
"2809",
"3721",
"4489",
"5041",
"5329",
"1331",
"6241",
"6889",
"3481",
"256",
"10609",
"11449",
"11881",
"625",
"12769",
"7921",
"9409",
"10201",
"2197",
"26569",
"32041",
"32761",
"16129"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A090252",
"A246547",
"A354165",
"A355012",
"A355013",
"A355014"
] | null |
Michael De Vlieger, Jun 15 2022
| 2022-06-19T02:20:54 |
oeisdata/seq/A355/A355012.seq
|
d8fbab6f021f978c373d5e41d5e4ecf8
|
A355013
|
Index of A355012(n) in A090252.
|
[
"5",
"7",
"11",
"14",
"23",
"31",
"32",
"60",
"95",
"96",
"119",
"120",
"127",
"128",
"132",
"191",
"244",
"263",
"264",
"383",
"388",
"480",
"484",
"488",
"511",
"512",
"571",
"776",
"960",
"968",
"975",
"976",
"980",
"1056",
"1535",
"1536",
"1552",
"1556",
"1919",
"1920",
"2112",
"2128",
"2287",
"3103",
"3104",
"3844",
"3848",
"3872",
"3875",
"3904",
"3920"
] |
[
"nonn"
] | 12 | 1 | 1 |
[
"A090252",
"A246547",
"A354164",
"A355012",
"A355013",
"A355014"
] | null |
Michael De Vlieger, Jun 15 2022
| 2022-06-19T02:21:06 |
oeisdata/seq/A355/A355013.seq
|
85ea2e4c0096b5293536f9dacaef3c31
|
A355014
|
Index of A355012(n) in A246547.
|
[
"1",
"3",
"2",
"5",
"4",
"6",
"8",
"11",
"7",
"14",
"12",
"17",
"10",
"19",
"21",
"9",
"24",
"18",
"25",
"13",
"28",
"29",
"30",
"34",
"15",
"36",
"39",
"41",
"43",
"44",
"27",
"45",
"48",
"38",
"16",
"53",
"54",
"55",
"22",
"57",
"49",
"51",
"52",
"33",
"71",
"76",
"77",
"60",
"63",
"64",
"65",
"67",
"23",
"68",
"70",
"88",
"20",
"89",
"90",
"72",
"75",
"96",
"97",
"98",
"42",
"79",
"80",
"81"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A090252",
"A246547",
"A355012",
"A355013",
"A355014"
] | null |
Michael De Vlieger, Jun 15 2022
| 2022-06-19T02:21:11 |
oeisdata/seq/A355/A355014.seq
|
e42c82844de568a5decdfed760dcf947
|
A355015
|
The least integer with cost n, using the cost function used in sequence A354914.
|
[
"1",
"2",
"3",
"7",
"23",
"719",
"1169951"
] |
[
"nonn",
"hard",
"more"
] | 28 | 0 | 2 |
[
"A354914",
"A355015"
] | null |
Stan Wagon, Joseph DeVincentis, and Al Zimmermann, Jun 15 2022
| 2023-02-16T12:09:47 |
oeisdata/seq/A355/A355015.seq
|
d700870dde48af19aebe42f582687977
|
A355016
|
Least prime p such that the n smallest primitive roots modulo p are the first n primes.
|
[
"3",
"5",
"53",
"173",
"2083",
"188323",
"350443",
"350443",
"1014787",
"29861203",
"154363267"
] |
[
"nonn",
"more"
] | 67 | 1 | 1 |
[
"A213052",
"A350121",
"A355016"
] | null |
Giorgos Kalogeropoulos, Jul 02 2022
| 2022-08-26T16:54:25 |
oeisdata/seq/A355/A355016.seq
|
a102dfb9373d7669c779cf1cbccc5800
|
A355017
|
a(n) is the number of bases in 2..n in which the sum of the digits of n is prime.
|
[
"0",
"1",
"1",
"3",
"4",
"4",
"3",
"5",
"6",
"7",
"7",
"8",
"7",
"8",
"5",
"11",
"9",
"10",
"8",
"13",
"8",
"12",
"9",
"13",
"11",
"12",
"10",
"15",
"11",
"16",
"10",
"17",
"10",
"20",
"12",
"20",
"14",
"18",
"13",
"21",
"13",
"22",
"13",
"20",
"14",
"25",
"14",
"22",
"18",
"22",
"15",
"26",
"12",
"29",
"17",
"25",
"15",
"27",
"15",
"30",
"19",
"26",
"14",
"32",
"17",
"33",
"19",
"27",
"19",
"31",
"18",
"34",
"19",
"29",
"19",
"37",
"16",
"33",
"21",
"30",
"24",
"39",
"20",
"38"
] |
[
"nonn",
"look"
] | 49 | 2 | 4 |
[
"A007310",
"A008588",
"A016945",
"A028834",
"A047235",
"A052294",
"A355017"
] | null |
Samuel Harkness, Jun 15 2022
| 2022-06-18T19:56:32 |
oeisdata/seq/A355/A355017.seq
|
9c0894e6a33195b6308ed7a9b6f42678
|
A355018
|
Partial sums of F(1) - L(1) + F(2) - L(2) + F(3) - L(3) + ..., where F = A000045 and L = A000032.
|
[
"1",
"0",
"1",
"-2",
"0",
"-4",
"-1",
"-8",
"-3",
"-14",
"-6",
"-24",
"-11",
"-40",
"-19",
"-66",
"-32",
"-108",
"-53",
"-176",
"-87",
"-286",
"-142",
"-464",
"-231",
"-752",
"-375",
"-1218",
"-608",
"-1972",
"-985",
"-3192",
"-1595",
"-5166",
"-2582",
"-8360",
"-4179",
"-13528",
"-6763",
"-21890",
"-10944",
"-35420",
"-17709",
"-57312",
"-28655"
] |
[
"sign",
"easy"
] | 13 | 0 | 4 |
[
"A000032",
"A000045",
"A355018",
"A355019",
"A355020",
"A355021"
] | null |
Clark Kimberling, Jun 16 2022
| 2024-03-22T17:43:21 |
oeisdata/seq/A355/A355018.seq
|
43463fe634ccf107c48d5d0eae1872cf
|
A355019
|
Partial sums of L(1) - F(1) + L(2) - F(2) + L(3) - F(3) + ..., where L = A000032 and F = A000045.
|
[
"1",
"0",
"3",
"2",
"6",
"4",
"11",
"8",
"19",
"14",
"32",
"24",
"53",
"40",
"87",
"66",
"142",
"108",
"231",
"176",
"375",
"286",
"608",
"464",
"985",
"752",
"1595",
"1218",
"2582",
"1972",
"4179",
"3192",
"6763",
"5166",
"10944",
"8360",
"17709",
"13528",
"28655",
"21890",
"46366",
"35420",
"75023",
"57312",
"121391",
"92734",
"196416",
"150048"
] |
[
"nonn",
"easy"
] | 17 | 0 | 3 |
[
"A000032",
"A000045",
"A355018",
"A355019",
"A355020",
"A355021"
] | null |
Clark Kimberling, Jun 16 2022
| 2024-03-22T17:43:30 |
oeisdata/seq/A355/A355019.seq
|
6d4849ce5e625bdcb39f478e44d6b49f
|
A355020
|
a(n) = (-1)^n * A000045(n) + 1.
|
[
"1",
"0",
"2",
"-1",
"4",
"-4",
"9",
"-12",
"22",
"-33",
"56",
"-88",
"145",
"-232",
"378",
"-609",
"988",
"-1596",
"2585",
"-4180",
"6766",
"-10945",
"17712",
"-28656",
"46369",
"-75024",
"121394",
"-196417",
"317812",
"-514228",
"832041",
"-1346268",
"2178310",
"-3524577",
"5702888",
"-9227464",
"14930353",
"-24157816",
"39088170"
] |
[
"sign",
"easy"
] | 24 | 0 | 3 |
[
"A000045",
"A008346",
"A119282",
"A355018",
"A355019",
"A355020",
"A355021"
] | null |
Clark Kimberling, Jun 21 2022
| 2024-03-17T03:16:30 |
oeisdata/seq/A355/A355020.seq
|
4d0d3f5a5533204b4ab9e4919eede806
|
A355021
|
a(n) = (-1)^n * A000032(n) - 1.
|
[
"1",
"-2",
"2",
"-5",
"6",
"-12",
"17",
"-30",
"46",
"-77",
"122",
"-200",
"321",
"-522",
"842",
"-1365",
"2206",
"-3572",
"5777",
"-9350",
"15126",
"-24477",
"39602",
"-64080",
"103681",
"-167762",
"271442",
"-439205",
"710646",
"-1149852",
"1860497",
"-3010350",
"4870846",
"-7881197",
"12752042",
"-20633240",
"33385281"
] |
[
"sign",
"easy"
] | 34 | 0 | 2 |
[
"A000032",
"A000045",
"A098600",
"A181716",
"A355018",
"A355019",
"A355020",
"A355021"
] | null |
Clark Kimberling, Jun 21 2022
| 2024-09-06T14:43:07 |
oeisdata/seq/A355/A355021.seq
|
533c24b6e21a28bcb1747e54f3aa8f2c
|
A355022
|
Decimal expansion of Im(Li(3, (i+1)/2)), where Li(n, z) is the polylogarithm function and i is the imaginary unit.
|
[
"5",
"7",
"0",
"0",
"7",
"7",
"4",
"0",
"7",
"0",
"8",
"8",
"7",
"6",
"8",
"9",
"7",
"8",
"1",
"9",
"5",
"6",
"0",
"9",
"7",
"5",
"7",
"5",
"9",
"0",
"0",
"7",
"4",
"5",
"5",
"1",
"0",
"6",
"3",
"1",
"4",
"5",
"8",
"0",
"9",
"9",
"1",
"8",
"7",
"2",
"8",
"7",
"3",
"2",
"8",
"6",
"6",
"9",
"7",
"0",
"4",
"7",
"9",
"0",
"1",
"5",
"9",
"2",
"9",
"6",
"7",
"3",
"9",
"4",
"3",
"2",
"7",
"5",
"7",
"7",
"1",
"7",
"3",
"6",
"1",
"7",
"0",
"5",
"4",
"8",
"5",
"1",
"4",
"0",
"5",
"1",
"4",
"2",
"1",
"4",
"5",
"3",
"8",
"8",
"5"
] |
[
"nonn",
"cons"
] | 8 | 0 | 1 |
[
"A001008",
"A002805",
"A006752",
"A355022"
] | null |
Amiram Eldar, Jun 25 2022
| 2022-06-26T10:47:54 |
oeisdata/seq/A355/A355022.seq
|
ca7b49fbadc3c17cec9f976a4d952dab
|
A355023
|
Number of labeled trees on n nodes with maximum degree three and three vertices of degree three.
|
[
"5040",
"317520",
"12700800",
"419126400",
"12573792000",
"359610451200",
"10069092633600",
"280496151936000",
"7853892254208000",
"222526947202560000",
"6408776079433728000",
"188184970332463104000",
"5645549109973893120000",
"173274930375352565760000",
"5445783526082509209600000",
"175354229539856796549120000"
] |
[
"nonn"
] | 34 | 8 | 1 |
[
"A355023",
"A355024"
] | null |
Marko Riedel, Jun 15 2022
| 2022-08-22T04:49:35 |
oeisdata/seq/A355/A355023.seq
|
45f7abc65875140f41d5e0b08efc7662
|
A355024
|
Number of unlabeled trees on n nodes with maximum degree three and three vertices of degree three.
|
[
"1",
"3",
"10",
"24",
"55",
"109",
"206",
"360",
"606",
"970",
"1508",
"2264",
"3322",
"4750",
"6668",
"9176",
"12439",
"16597",
"21870",
"28448",
"36617",
"46627",
"58842",
"73584",
"91308",
"112420",
"137480",
"166992",
"201636",
"242028",
"288984",
"343248",
"405789"
] |
[
"nonn",
"easy"
] | 24 | 8 | 2 |
[
"A355023",
"A355024"
] | null |
Marko Riedel, Jun 15 2022
| 2022-08-22T04:49:31 |
oeisdata/seq/A355/A355024.seq
|
1532dfea640fc43b7601a0a7f3c32cf5
|
A355025
|
a(1)=2; for n > 1, a(n) is the least new prime such that a(n-1) + a(n) is a multiple of 7.
|
[
"2",
"5",
"23",
"19",
"37",
"47",
"79",
"61",
"107",
"89",
"149",
"103",
"163",
"131",
"191",
"173",
"233",
"229",
"317",
"257",
"331",
"271",
"359",
"313",
"373",
"383",
"401",
"397",
"443",
"439",
"457",
"467",
"499",
"509",
"541",
"523",
"569",
"593",
"653",
"607",
"709",
"677",
"751",
"691",
"821",
"719",
"863",
"733",
"877",
"761"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A045392",
"A045458",
"A355025"
] | null |
Zak Seidov, Jun 15 2022
| 2022-07-03T20:11:31 |
oeisdata/seq/A355/A355025.seq
|
d02b854b2d1bf0c483ee777168c67e0f
|
A355026
|
Irregular table read by rows: the n-th row gives the possible values of the number of divisors of numbers with n prime divisors (counted with multiplicity).
|
[
"1",
"2",
"3",
"4",
"4",
"6",
"8",
"5",
"8",
"9",
"12",
"16",
"6",
"10",
"12",
"16",
"18",
"24",
"32",
"7",
"12",
"15",
"16",
"20",
"24",
"27",
"32",
"36",
"48",
"64",
"8",
"14",
"18",
"20",
"24",
"30",
"32",
"36",
"40",
"48",
"54",
"64",
"72",
"96",
"128",
"9",
"16",
"21",
"24",
"25",
"28",
"36",
"40",
"45",
"48",
"60",
"64",
"72",
"80",
"81",
"96",
"108",
"128",
"144",
"192",
"256"
] |
[
"nonn",
"tabf"
] | 16 | 0 | 2 |
[
"A000005",
"A001222",
"A036035",
"A063008",
"A074139",
"A238963",
"A355026",
"A355027"
] | null |
Amiram Eldar, Jun 16 2022
| 2025-07-04T03:08:27 |
oeisdata/seq/A355/A355026.seq
|
61836b2f5e05d3162b31babe2e0b3635
|
A355027
|
a(n) is the number of possible values of numbers of divisors of numbers k with Omega(k) = n.
|
[
"1",
"1",
"2",
"3",
"5",
"7",
"11",
"15",
"21",
"29",
"39",
"49",
"66",
"84",
"108",
"136",
"171",
"211",
"259",
"320",
"386",
"468",
"565",
"674",
"801",
"954",
"1117",
"1333",
"1556",
"1831",
"2107",
"2478",
"2838",
"3309",
"3788",
"4396",
"4979",
"5780",
"6511",
"7506",
"8451",
"9696",
"10834",
"12429",
"13846",
"15814",
"17576",
"20030",
"22123",
"25179"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000005",
"A000041",
"A001222",
"A355026",
"A355027"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:33:05 |
oeisdata/seq/A355/A355027.seq
|
99122463e37f8d33a80e322c693c84cd
|
A355028
|
a(n) is the maximum number of distinct prime signatures of numbers with n prime divisors (counted with multiplicity) that have the same number of divisors.
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"3",
"4",
"4",
"4",
"5",
"5",
"5",
"6",
"6",
"7",
"9",
"9",
"11",
"12",
"13",
"14",
"16",
"17",
"19",
"23",
"26",
"30",
"32",
"35",
"38",
"40",
"43",
"51",
"56",
"62",
"68",
"74",
"80",
"86",
"94",
"106",
"118",
"128",
"140",
"152",
"167",
"179",
"197",
"221",
"247",
"272",
"298",
"325",
"353",
"384",
"425",
"473",
"522",
"567",
"631"
] |
[
"nonn"
] | 10 | 0 | 9 |
[
"A000005",
"A001222",
"A101296",
"A118914",
"A355026",
"A355027",
"A355028"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:29:55 |
oeisdata/seq/A355/A355028.seq
|
92d138757b6a6567dfa2dc466d0cb7d9
|
A355029
|
Irregular table read by rows: the n-th row gives the possible values of the number of prime divisors (counted with multiplicity) of numbers with n divisors.
|
[
"0",
"1",
"2",
"2",
"3",
"4",
"3",
"5",
"6",
"3",
"4",
"7",
"4",
"8",
"5",
"9",
"10",
"4",
"5",
"6",
"11",
"12",
"7",
"13",
"6",
"14",
"4",
"5",
"6",
"8",
"15",
"16",
"5",
"7",
"9",
"17",
"18",
"6",
"7",
"10",
"19",
"8",
"20",
"11",
"21",
"22",
"5",
"6",
"7",
"8",
"9",
"12",
"23",
"8",
"24",
"13",
"25",
"6",
"10",
"26",
"8",
"9",
"14",
"27",
"28",
"7",
"9",
"11",
"15",
"29",
"30",
"5",
"6",
"7",
"9",
"10",
"16",
"31"
] |
[
"nonn",
"tabf"
] | 12 | 1 | 3 |
[
"A000005",
"A001222",
"A059975",
"A118914",
"A162247",
"A355026",
"A355029",
"A355030"
] | null |
Amiram Eldar, Jun 16 2022
| 2025-07-04T03:08:30 |
oeisdata/seq/A355/A355029.seq
|
70985a03b528eeacdee14b59c7c5dddb
|
A355030
|
a(n) is the number of possible values of the number of prime divisors (counted with multiplicity) of numbers with n divisors.
|
[
"1",
"1",
"1",
"2",
"1",
"2",
"1",
"3",
"2",
"2",
"1",
"4",
"1",
"2",
"2",
"5",
"1",
"4",
"1",
"4",
"2",
"2",
"1",
"7",
"2",
"2",
"3",
"4",
"1",
"5",
"1",
"7",
"2",
"2",
"2",
"8",
"1",
"2",
"2",
"6",
"1",
"5",
"1",
"4",
"4",
"2",
"1",
"11",
"2",
"4",
"2",
"4",
"1",
"7",
"2",
"7",
"2",
"2",
"1",
"11",
"1",
"2",
"4",
"11",
"2",
"5",
"1",
"4",
"2",
"5",
"1",
"14",
"1",
"2",
"4",
"4",
"2",
"5",
"1",
"11",
"5",
"2",
"1",
"11",
"2"
] |
[
"nonn"
] | 10 | 1 | 4 |
[
"A000005",
"A001055",
"A001222",
"A118914",
"A162247",
"A218320",
"A305254",
"A317791",
"A318559",
"A326334",
"A355027",
"A355029",
"A355030"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:32:55 |
oeisdata/seq/A355/A355030.seq
|
d0cec5685254eab2a2979e799e21cf0c
|
A355031
|
a(n) is the least number k such that A355030(k) = n, or -1 if no such k exists.
|
[
"1",
"4",
"8",
"12",
"16",
"40",
"24",
"36",
"90",
"126",
"48",
"112",
"546",
"72",
"108",
"96",
"160",
"352",
"168",
"120",
"256",
"2475",
"144",
"588",
"300",
"320",
"216",
"448",
"1216",
"240",
"810",
"420",
"288",
"1040",
"384",
"660",
"360",
"640",
"432",
"1408",
"540",
"504",
"480",
"600",
"648",
"1176",
"792",
"672",
"1500",
"576",
"2000",
"900",
"1824",
"1248"
] |
[
"nonn"
] | 8 | 1 | 2 |
[
"A000005",
"A001222",
"A162247",
"A355029",
"A355030",
"A355031"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:30:05 |
oeisdata/seq/A355/A355031.seq
|
90b9e838a86c7c2ed29b81d05f4577db
|
A355032
|
a(n) is the maximum number of prime signatures of numbers with n divisors that have the same number of prime divisors (counted with multiplicity).
|
[
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"1",
"1"
] |
[
"nonn"
] | 13 | 1 | 36 |
[
"A000005",
"A001222",
"A118914",
"A162247",
"A355028",
"A355030",
"A355031",
"A355032",
"A355033"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:32:09 |
oeisdata/seq/A355/A355032.seq
|
3d9ee46a4e349a9941e7c6b480ccbd99
|
A355033
|
a(n) is the least number k such that A355032(k) = n, or -1 if no such k exists.
|
[
"1",
"36",
"72",
"288",
"960",
"720",
"1440",
"3456",
"2880",
"6912",
"5760",
"10080",
"11520",
"8640",
"24192",
"21600",
"47520",
"17280",
"28800",
"20160",
"62208",
"46080",
"82944",
"34560",
"50400",
"40320",
"57600",
"51840",
"110880",
"126720",
"141120",
"69120",
"60480",
"248832",
"86400",
"80640",
"233280",
"237600",
"103680",
"100800"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A000005",
"A001222",
"A162247",
"A355030",
"A355031",
"A355032",
"A355033"
] | null |
Amiram Eldar, Jun 16 2022
| 2022-06-22T02:32:43 |
oeisdata/seq/A355/A355033.seq
|
cd462d22636adca7b450dd753eb89eec
|
A355034
|
a(n) is the least base b >= 2 where the sum of digits of n is a prime number.
|
[
"3",
"2",
"3",
"2",
"2",
"2",
"4",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"8",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"5",
"2",
"3",
"3",
"2",
"4",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"3",
"4",
"2",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"2",
"2",
"3",
"4",
"2",
"6",
"2",
"2",
"3",
"18",
"2",
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"3",
"6",
"2",
"2",
"2",
"2",
"3",
"2",
"3",
"4",
"2",
"2"
] |
[
"nonn",
"base"
] | 10 | 2 | 1 |
[
"A052294",
"A216789",
"A355034",
"A355035"
] | null |
Rémy Sigrist, Jun 16 2022
| 2022-06-18T08:41:50 |
oeisdata/seq/A355/A355034.seq
|
faadb1adbefe6bd16230946f8fd2d88d
|
A355035
|
Consider the least base b >= 2 where the sum of digits of n is a prime number; a(n) corresponds to this prime number.
|
[
"2",
"2",
"2",
"2",
"2",
"3",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"5",
"2",
"3",
"3",
"3",
"3",
"3",
"2",
"5",
"2",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"2",
"3",
"3",
"5",
"3",
"3",
"7",
"5",
"2",
"3",
"3",
"5",
"3",
"7",
"2",
"5",
"3",
"3",
"7",
"5",
"5",
"5",
"5",
"3",
"13",
"2",
"2",
"3",
"2",
"3",
"3",
"7",
"2",
"3",
"3",
"5",
"3",
"7",
"3",
"5",
"2",
"3",
"3",
"3",
"3",
"3",
"5",
"5",
"3"
] |
[
"nonn",
"base"
] | 10 | 2 | 1 |
[
"A216789",
"A355034",
"A355035"
] | null |
Rémy Sigrist, Jun 16 2022
| 2022-06-18T07:43:24 |
oeisdata/seq/A355/A355035.seq
|
6a7ded051656c0259d4082a15b27efd7
|
A355036
|
a(n) is the least number whose product of digits in primorial base equals n.
|
[
"0",
"1",
"5",
"21",
"17",
"159",
"23",
"1509",
"29",
"111",
"161",
"25659",
"83",
"392949",
"1511",
"171",
"89",
"8711259",
"113",
"184837209",
"167",
"1521",
"25661",
"5141378799",
"119",
"1209",
"392951",
"741",
"1517",
"187854439329",
"173",
"6224078222919",
"149",
"25671",
"8711261",
"1629",
"203",
"274774574506989",
"184837211"
] |
[
"nonn",
"base"
] | 10 | 0 | 3 |
[
"A005867",
"A057588",
"A263130",
"A355036",
"A355037"
] | null |
Rémy Sigrist, Jun 16 2022
| 2022-06-18T08:41:42 |
oeisdata/seq/A355/A355036.seq
|
1f45d36bd15f6f8e45b4551cab885a71
|
A355037
|
a(n) is the product of the digits of n in primorial base.
|
[
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"3",
"0",
"6",
"0",
"0",
"0",
"4",
"0",
"8",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"3",
"0",
"6",
"0",
"0",
"0",
"4",
"0",
"8",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"4",
"0",
"8",
"0",
"0",
"0",
"6",
"0",
"12",
"0",
"0",
"0"
] |
[
"nonn",
"look",
"base"
] | 15 | 0 | 6 |
[
"A143293",
"A208575",
"A235168",
"A328574",
"A328581",
"A355037"
] | null |
Rémy Sigrist, Jun 16 2022
| 2025-02-13T13:08:02 |
oeisdata/seq/A355/A355037.seq
|
e38e4e8b136f8bfdd179d04503524175
|
A355038
|
a(n) = n^2 times the squarefree kernel of n.
|
[
"1",
"8",
"27",
"32",
"125",
"216",
"343",
"128",
"243",
"1000",
"1331",
"864",
"2197",
"2744",
"3375",
"512",
"4913",
"1944",
"6859",
"4000",
"9261",
"10648",
"12167",
"3456",
"3125",
"17576",
"2187",
"10976",
"24389",
"27000",
"29791",
"2048",
"35937",
"39304",
"42875",
"7776",
"50653",
"54872",
"59319",
"16000",
"68921",
"74088",
"79507",
"42592",
"30375"
] |
[
"nonn",
"easy",
"mult"
] | 21 | 1 | 2 |
[
"A007947",
"A064549",
"A065463",
"A102631",
"A335988",
"A355038",
"A356191"
] | null |
Peter Munn, Jun 16 2022
| 2023-11-30T02:53:28 |
oeisdata/seq/A355/A355038.seq
|
4f41f05ee4d5ff2b9be85562e83360ee
|
A355039
|
Carmichael numbers whose number of prime factors is prime.
|
[
"561",
"1105",
"1729",
"2465",
"2821",
"6601",
"8911",
"10585",
"15841",
"29341",
"46657",
"52633",
"115921",
"162401",
"252601",
"294409",
"314821",
"334153",
"399001",
"410041",
"488881",
"512461",
"530881",
"825265",
"1024651",
"1050985",
"1152271",
"1193221",
"1461241",
"1615681",
"1857241",
"1909001",
"2508013",
"3057601",
"3581761",
"3828001"
] |
[
"nonn"
] | 24 | 1 | 1 |
[
"A002997",
"A087788",
"A112428",
"A112430",
"A355039"
] | null |
Michel Marcus, Jun 16 2022
| 2024-08-28T11:02:00 |
oeisdata/seq/A355/A355039.seq
|
b4ca59248e0182f17fef191cd3e78018
|
A355040
|
Expansion of the continued fraction 1 / (1-q / (1-q-q^2 / (1-q-q^2-q^3 / (1-q-q^2-q^3-q^4 / (...))))).
|
[
"1",
"1",
"2",
"5",
"13",
"35",
"96",
"266",
"742",
"2079",
"5843",
"16457",
"46423",
"131099",
"370527",
"1047858",
"2964698",
"8390837",
"23754234",
"67260645",
"190478213",
"539484321",
"1528094423",
"4328632609",
"12262352881",
"34738763766",
"98416624789",
"278825903115",
"789961599608",
"2238129694407",
"6341171821627",
"17966261019890",
"50903653156245"
] |
[
"nonn"
] | 19 | 0 | 3 |
[
"A088354",
"A230823",
"A355040",
"A355043",
"A355046"
] | null |
Joerg Arndt, Jun 16 2022
| 2022-06-26T09:31:55 |
oeisdata/seq/A355/A355040.seq
|
4be2ad9a82306bb746256e74c10300f6
|
A355041
|
Numbers k such that A152763(2^k) < A152763(2^k-1).
|
[
"14",
"18",
"30",
"42",
"60",
"70",
"82",
"88",
"106",
"126",
"130",
"166",
"168",
"196",
"213",
"240",
"258",
"280",
"282",
"330"
] |
[
"nonn",
"hard",
"more"
] | 18 | 1 | 1 |
[
"A000108",
"A038003",
"A152763",
"A355041"
] | null |
Jianing Song, Jun 16 2022
| 2024-07-24T17:56:30 |
oeisdata/seq/A355/A355041.seq
|
d5b74f446d372b8f877a4c00135347f9
|
A355042
|
a(n) is the number of minimal balanced collections on a ground set of n labeled elements.
|
[
"1",
"2",
"6",
"42",
"1292",
"200214",
"132422036"
] |
[
"nonn",
"hard",
"more"
] | 59 | 1 | 2 |
[
"A000110",
"A355042"
] | null |
Dylan Laplace Mermoud, Jun 16 2022
| 2024-06-28T11:22:49 |
oeisdata/seq/A355/A355042.seq
|
808e0f6a603bf83b5485b2673ac69ebe
|
A355043
|
Expansion of the continued fraction 1 / (1-q-q^2 / (1-q-q^2-q^3 / (1-q-q^2-q^3-q^4 / (...)))).
|
[
"1",
"1",
"2",
"4",
"9",
"21",
"50",
"121",
"296",
"730",
"1811",
"4513",
"11285",
"28294",
"71088",
"178904",
"450840",
"1137345",
"2871720",
"7256093",
"18345060",
"46403039",
"117421762",
"297232446",
"752601692",
"1906056161",
"4828267801",
"12232594912",
"30996034963",
"78549710061",
"199079279640",
"504596195477",
"1279065489044"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A091964",
"A355040",
"A355043",
"A355046"
] | null |
Joerg Arndt, Jun 16 2022
| 2025-06-02T15:25:51 |
oeisdata/seq/A355/A355043.seq
|
7f83aa42255498a3439323dd8a875a77
|
A355044
|
Number of coalescent histories for matching gene trees and species trees with n leaves and a 5-leaf seed tree.
|
[
"10",
"37",
"130",
"453",
"1584",
"5577",
"19786",
"70720",
"254524",
"921842",
"3357908",
"12294995",
"45229500",
"167093505",
"619689690",
"2306312580",
"8611143420",
"32246815350",
"121085968380",
"455817192090",
"1719872196432",
"6503354706762",
"24640476660420",
"93534587913648",
"355675196682904"
] |
[
"nonn"
] | 13 | 5 | 1 |
[
"A000108",
"A070031",
"A355044"
] | null |
Noah A Rosenberg, Jun 16 2022
| 2022-06-21T17:02:26 |
oeisdata/seq/A355/A355044.seq
|
3bfd1ea4efcb00aee5cd06a5a71ee456
|
A355045
|
a(n) is the least positive integer k which is a multiple of prime(n) such that for some m >= 0, psi(k) = rad(k)^m, where psi(k) = A001615(k) and rad(k) = A007947(k).
|
[
"18",
"18",
"11250",
"57177414",
"8696754",
"10763393803185114",
"501126",
"23816977256250",
"23981814018",
"230750426250",
"3730545397766934",
"33914855378546706844968750",
"11135545745963323734",
"234030019748505421122",
"246218836545018",
"5018345916"
] |
[
"nonn"
] | 17 | 1 | 1 |
[
"A001615",
"A007947",
"A355045"
] | null |
Vladislav Shubin, Jun 16 2022
| 2022-08-06T08:27:52 |
oeisdata/seq/A355/A355045.seq
|
515f0c26d381d3a643fef6162342d9eb
|
A355046
|
Expansion of the continued fraction 1 / (1-q / (1-q-q^3 / (1-q-q^3-q^5 / (1-q-q^3-q^5-q^7 / (...))))).
|
[
"1",
"1",
"2",
"4",
"9",
"21",
"49",
"115",
"271",
"640",
"1514",
"3585",
"8494",
"20134",
"47740",
"113221",
"268557",
"637077",
"1511402",
"3585843",
"8507837",
"20186405",
"47896899",
"113648058",
"269662860",
"639857869",
"1518267397",
"3602589217",
"8548353709",
"20283885193",
"48130511518",
"114206363723",
"270994509775",
"643029572029"
] |
[
"nonn"
] | 6 | 0 | 3 |
[
"A355040",
"A355043",
"A355046"
] | null |
Joerg Arndt, Jun 16 2022
| 2025-06-02T15:25:58 |
oeisdata/seq/A355/A355046.seq
|
a11ad645b91a6575d72400a4fd0fb735
|
A355047
|
Number of oriented orthoplex n-ominoes with cell centers determining n-3 space.
|
[
"3",
"26",
"198",
"1095",
"5259",
"22678",
"91887",
"354442",
"1320089",
"4780355",
"16943165",
"59007970",
"202599228",
"687342673",
"2308586154",
"7687335917",
"25407923029",
"83430814454",
"272382655862",
"884706011664",
"2860304423466",
"9208948000393"
] |
[
"easy",
"nonn"
] | 7 | 6 | 1 |
[
"A355047",
"A355048",
"A355049",
"A355050",
"A355051",
"A355052"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-07-26T13:56:41 |
oeisdata/seq/A355/A355047.seq
|
20bc69a2b6abbd14e3d1958fd85f2d47
|
A355048
|
Number of unoriented orthoplex n-ominoes with cell centers determining n-3 space.
|
[
"3",
"18",
"122",
"655",
"3240",
"14531",
"61520",
"247381",
"958434",
"3598594",
"13180348",
"47274577",
"166642096",
"578750970",
"1984671466",
"6731351834",
"22612409886",
"75321920403",
"249028297179",
"817867225710",
"2670093233760",
"8670380548402"
] |
[
"nonn",
"easy"
] | 15 | 6 | 1 |
[
"A000055",
"A000081",
"A036367",
"A355047",
"A355048",
"A355049",
"A355050",
"A355051",
"A355053"
] | null |
Robert A. Russell, Jun 16 2022
| 2025-03-22T20:43:22 |
oeisdata/seq/A355/A355048.seq
|
df7000b3b75f87eea322bad45f59e4e8
|
A355049
|
Number of chiral pairs of orthoplex n-ominoes with cell centers determining n-3 space.
|
[
"8",
"76",
"440",
"2019",
"8147",
"30367",
"107061",
"361655",
"1181761",
"3762817",
"11733393",
"35957132",
"108591703",
"323914688",
"955984083",
"2795513143",
"8108894051",
"23354358683",
"66838785954",
"190211189706",
"538567451991",
"1517943035326"
] |
[
"nonn",
"easy"
] | 12 | 7 | 1 |
[
"A036368",
"A045648",
"A045649",
"A355047",
"A355048",
"A355049",
"A355050",
"A355051",
"A355054"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-01T14:23:46 |
oeisdata/seq/A355/A355049.seq
|
3cde43beeeb65a068d078e651ba7341e
|
A355050
|
Number of achiral orthoplex n-ominoes with cell centers determining n-3 space.
|
[
"3",
"10",
"46",
"215",
"1221",
"6384",
"31153",
"140320",
"596779",
"2416833",
"9417531",
"35541184",
"130684964",
"470159267",
"1660756778",
"5775367751",
"19816896743",
"67213026352",
"225673938496",
"751028439756",
"2479882044054",
"8131813096411"
] |
[
"nonn",
"easy"
] | 6 | 6 | 1 |
[
"A355047",
"A355048",
"A355049",
"A355050",
"A355051",
"A355055"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-07-26T13:57:20 |
oeisdata/seq/A355/A355050.seq
|
f8fa182f1e7f31ac513c5bdb2a91e867
|
A355051
|
Number of asymmetric orthoplex n-ominoes with cell centers determining n-3 space.
|
[
"6",
"67",
"412",
"1926",
"7856",
"29057",
"101105",
"335081",
"1072653",
"3337131",
"10154700",
"30330869",
"89226443",
"259092076",
"744095757",
"2116643127",
"5971171140",
"16722250081",
"46529076097",
"128722040503",
"354276958783",
"970546150818"
] |
[
"nonn",
"easy"
] | 9 | 7 | 1 |
[
"A000220",
"A004111",
"A036369",
"A355047",
"A355048",
"A355049",
"A355050",
"A355051",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-01T14:23:41 |
oeisdata/seq/A355/A355051.seq
|
9cfef52def53115dca696a4f4e84667f
|
A355052
|
Number of oriented multidimensional n-ominoes with cell centers determining n-3 space.
|
[
"1",
"17",
"131",
"709",
"3350",
"14337",
"57507",
"218746",
"803384",
"2870707",
"10044838",
"34548917",
"117224825",
"393290329",
"1307200931",
"4310348599",
"14116544717",
"45959805027",
"148860350902",
"479938536114",
"1541025955958",
"4929773150983"
] |
[
"nonn",
"easy"
] | 12 | 4 | 2 |
[
"A191092",
"A195738",
"A355047",
"A355052",
"A355053",
"A355054",
"A355055",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-09T14:07:20 |
oeisdata/seq/A355/A355052.seq
|
f53a2f23a58bfb71c49ab4abca8ecd5f
|
A355053
|
Number of unoriented multidimensional n-ominoes with cell centers determining n-3 space.
|
[
"1",
"11",
"77",
"412",
"2009",
"8869",
"36988",
"146578",
"560498",
"2078927",
"7530385",
"26734692",
"93360884",
"321454484",
"1093599885",
"3681897625",
"12284317088",
"40660245162",
"133638662066",
"436488290069",
"1417680926923",
"4581355626106"
] |
[
"nonn",
"easy"
] | 17 | 4 | 2 |
[
"A000055",
"A000081",
"A036364",
"A049430",
"A191092",
"A355048",
"A355052",
"A355053",
"A355054",
"A355055",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-09T14:06:55 |
oeisdata/seq/A355/A355053.seq
|
3df49da4c0d99a5457d22fded9fc7f61
|
A355054
|
Number of chiral pairs of multidimensional n-ominoes with cell centers determining n-3 space.
|
[
"6",
"54",
"297",
"1341",
"5468",
"20519",
"72168",
"242886",
"791780",
"2514453",
"7814225",
"23863941",
"71835845",
"213601046",
"628450974",
"1832227629",
"5299559865",
"15221688836",
"43450246045",
"123345029035",
"348417524877",
"979803281560"
] |
[
"nonn",
"easy"
] | 17 | 5 | 1 |
[
"A036365",
"A045648",
"A045649",
"A049430",
"A191092",
"A195738",
"A355049",
"A355052",
"A355053",
"A355054",
"A355055",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-09T14:06:45 |
oeisdata/seq/A355/A355054.seq
|
da9b6803fa8a45476e50341e2d3ab279
|
A355055
|
Number of achiral multidimensional n-ominoes with cell centers determining n-3 space.
|
[
"1",
"5",
"23",
"115",
"668",
"3401",
"16469",
"74410",
"317612",
"1287147",
"5015932",
"18920467",
"69496943",
"249618639",
"879998839",
"3053446651",
"10452089459",
"35360685297",
"118416973230",
"393038044024",
"1294335897888",
"4232938101229",
"13757913332396"
] |
[
"nonn",
"easy"
] | 12 | 4 | 2 |
[
"A049430",
"A191092",
"A195738",
"A355050",
"A355052",
"A355053",
"A355054",
"A355055",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-09T14:06:35 |
oeisdata/seq/A355/A355055.seq
|
18f0057239a90cd02c3c8eecfc516e21
|
A355056
|
Number of asymmetric multidimensional n-ominoes with cell centers determining n-3 space.
|
[
"5",
"46",
"275",
"1283",
"5281",
"19607",
"68476",
"227196",
"727780",
"2263148",
"6881482",
"20529511",
"60312548",
"174870492",
"501443277",
"1424142358",
"4011274417",
"11216074419",
"31160837273",
"86078096135",
"236568911194",
"647181951619"
] |
[
"nonn",
"easy"
] | 15 | 5 | 1 |
[
"A000220",
"A004111",
"A036366",
"A191092",
"A355051",
"A355052",
"A355053",
"A355054",
"A355055",
"A355056"
] | null |
Robert A. Russell, Jun 16 2022
| 2022-08-09T14:06:22 |
oeisdata/seq/A355/A355056.seq
|
ea2e1088966fad3c1bfce6116504634f
|
A355057
|
a(n) = product of prohibited prime factors of A090252(n).
|
[
"1",
"1",
"2",
"6",
"15",
"30",
"70",
"210",
"462",
"6006",
"51051",
"102102",
"277134",
"6374082",
"10623470",
"223092870",
"588153930",
"18232771830",
"51893273670",
"2127624220470",
"5381637734130",
"252936973504110",
"6702829797858915",
"13405659595717830",
"41628100849860630",
"2539314151841498430",
"7397132529277408470"
] |
[
"nonn"
] | 22 | 1 | 3 |
[
"A007947",
"A090252",
"A354758",
"A354764",
"A354765",
"A355057"
] | null |
Michael De Vlieger, Jun 16 2022
| 2022-07-05T22:08:37 |
oeisdata/seq/A355/A355057.seq
|
ab344c3a8e5018b1ea3995a6978ffc50
|
A355058
|
Numbers m such that d(m) mod 6 = 3, where d(m) is the number of divisors of m.
|
[
"4",
"9",
"25",
"36",
"49",
"100",
"121",
"144",
"169",
"196",
"225",
"256",
"289",
"324",
"361",
"400",
"441",
"484",
"529",
"576",
"676",
"784",
"841",
"900",
"961",
"1089",
"1156",
"1225",
"1369",
"1444",
"1521",
"1600",
"1681",
"1764",
"1849",
"1936",
"2025",
"2116",
"2209",
"2304",
"2500",
"2601",
"2704",
"2809",
"2916",
"3025",
"3136",
"3249",
"3364"
] |
[
"nonn",
"easy"
] | 18 | 1 | 1 |
[
"A000005",
"A000290",
"A001248",
"A086463",
"A352475",
"A355058"
] | null |
Michael De Vlieger, Jul 04 2022
| 2025-06-16T23:49:23 |
oeisdata/seq/A355/A355058.seq
|
d453d32c194c11cc7cbbcc337e54c97a
|
A355059
|
a(n) is the positive integer such that psi(A355045(n)) = rad(A355045(n))^a(n), where psi(k) = A001615(k) and rad(k) = A007947(k).
|
[
"2",
"2",
"3",
"5",
"4",
"6",
"3",
"5",
"5",
"4",
"7",
"6",
"6",
"6",
"6",
"4",
"5",
"8",
"5",
"5",
"7",
"7",
"7",
"4",
"6",
"4",
"9",
"4",
"6",
"6",
"9",
"6",
"6",
"8",
"4",
"8",
"8",
"8",
"8",
"5",
"5",
"7",
"8",
"7",
"5",
"6",
"5",
"10",
"7",
"7",
"7",
"7",
"5",
"7",
"7",
"7",
"5",
"7",
"9",
"7",
"7",
"6",
"9",
"9",
"9",
"5",
"9",
"7",
"6",
"7",
"6",
"6",
"9",
"6",
"7",
"9",
"8",
"7",
"6",
"8",
"8",
"6",
"6",
"11",
"8",
"8"
] |
[
"nonn"
] | 11 | 1 | 1 |
[
"A001615",
"A007947",
"A355045",
"A355059"
] | null |
Vladislav Shubin, Jun 16 2022
| 2022-08-06T08:28:34 |
oeisdata/seq/A355/A355059.seq
|
87564accf078cca3fb0e2d85aac8d2ee
|
A355060
|
Perfect powers whose digits are in strictly increasing order.
|
[
"4",
"8",
"9",
"16",
"25",
"27",
"36",
"49",
"125",
"128",
"169",
"256",
"289",
"1369",
"13456",
"13689",
"134689"
] |
[
"nonn",
"base",
"fini",
"full"
] | 13 | 1 | 1 |
[
"A001597",
"A009993",
"A355060",
"A355062"
] | null |
Jon E. Schoenfield, Jun 16 2022
| 2025-07-01T08:56:19 |
oeisdata/seq/A355/A355060.seq
|
ed0de1b8df8c5d35ce783cbc8a50859d
|
A355061
|
Lexicographically earliest infinite sequence of positive numbers such that, for n>2, a(n) has a common factor with a(n-1), no common factor with a(n-2), and the product a(n)*a(n-1) is distinct from all previous products, a(i)*a(i-1), i=2..n-1.
|
[
"1",
"2",
"6",
"15",
"35",
"14",
"6",
"33",
"55",
"10",
"6",
"21",
"35",
"10",
"12",
"21",
"77",
"22",
"6",
"39",
"65",
"10",
"14",
"21",
"15",
"10",
"22",
"33",
"15",
"20",
"14",
"63",
"15",
"40",
"14",
"77",
"33",
"12",
"14",
"91",
"39",
"12",
"20",
"35",
"63",
"6",
"26",
"65",
"15",
"12",
"22",
"55",
"15",
"18",
"28",
"35",
"45",
"12",
"26",
"91",
"21",
"30",
"22",
"143",
"39",
"15",
"50",
"22",
"99",
"15",
"70",
"22",
"187",
"51",
"6"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A064413",
"A098550",
"A336957",
"A355061",
"A355138",
"A355139"
] | null |
Scott R. Shannon, Jun 16 2022
| 2022-06-21T10:28:52 |
oeisdata/seq/A355/A355061.seq
|
7b3d3db18906fbf60c8a3dd0aa3a407c
|
A355062
|
Perfect powers whose digits are in nondecreasing order.
|
[
"4",
"8",
"9",
"16",
"25",
"27",
"36",
"49",
"125",
"128",
"144",
"169",
"225",
"256",
"289",
"1156",
"1225",
"1369",
"1444",
"4489",
"6889",
"11236",
"11449",
"13456",
"13689",
"27889",
"33489",
"111556",
"112225",
"113569",
"134689",
"146689",
"344569",
"444889",
"2666689",
"2778889",
"11115556",
"11122225",
"11135569",
"11336689"
] |
[
"nonn",
"base"
] | 19 | 1 | 1 |
[
"A001597",
"A009994",
"A355060",
"A355062"
] | null |
Jon E. Schoenfield, Jun 16 2022
| 2025-07-01T09:02:09 |
oeisdata/seq/A355/A355062.seq
|
1731cc4a0fc6c17bf725e5fba0117391
|
A355063
|
Perfect powers whose digits are in nonincreasing order and do not include 0.
|
[
"1",
"4",
"8",
"9",
"32",
"64",
"81",
"441",
"841",
"961",
"7744",
"7776",
"8874441",
"9853321",
"999887641"
] |
[
"nonn",
"base",
"more"
] | 40 | 1 | 2 |
[
"A001597",
"A009996",
"A028822",
"A062826",
"A355063"
] | null |
Jon E. Schoenfield, Jun 16 2022
| 2025-07-01T16:56:15 |
oeisdata/seq/A355/A355063.seq
|
6b9328101419ea3b22297a22f58099eb
|
A355064
|
Expansion of e.g.f. ( Product_{k>0} 1/(1-x^k)^(1/k) )^x.
|
[
"1",
"0",
"2",
"6",
"28",
"210",
"1248",
"13020",
"102128",
"1248912",
"13457880",
"176726880",
"2362784928",
"36609693120",
"551337892896",
"9588702417840",
"171779733546240",
"3230529997766400",
"64714946343904512",
"1371420774325866240",
"29953522454811096960",
"698447624328756610560"
] |
[
"nonn"
] | 65 | 0 | 3 |
[
"A000005",
"A066166",
"A354623",
"A355064",
"A356336",
"A356554",
"A356564"
] | null |
Seiichi Manyama, Aug 12 2022
| 2023-01-06T09:14:23 |
oeisdata/seq/A355/A355064.seq
|
8178b559cf501a4eb4535a25bf3db1b8
|
A355065
|
Lexicographically earliest sequence of distinct positive integers such that if m and n are distinct and not coprime, then a(n) does not belong to the interval ceiling(a(m)/2)..2*a(m).
|
[
"1",
"2",
"3",
"5",
"4",
"11",
"6",
"23",
"24",
"47",
"7",
"95",
"8",
"191",
"192",
"383",
"9",
"767",
"10",
"1535",
"1536",
"3071",
"12",
"6143",
"3072",
"12287",
"12288",
"24575",
"13",
"49151",
"14",
"98303",
"98304",
"196607",
"98305",
"393215",
"15",
"786431",
"786432",
"1572863",
"16",
"3145727",
"17",
"6291455",
"6291456",
"12582911",
"18"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A090252",
"A355065",
"A355066"
] | null |
Rémy Sigrist, Jun 17 2022
| 2022-06-22T13:48:49 |
oeisdata/seq/A355/A355065.seq
|
e76c7820be9c5cb17d5f10f6b8a6452d
|
A355066
|
Inverse permutation to A355065.
|
[
"1",
"2",
"3",
"5",
"4",
"7",
"11",
"13",
"17",
"19",
"6",
"23",
"29",
"31",
"37",
"41",
"43",
"47",
"49",
"53",
"59",
"61",
"8",
"9",
"67",
"71",
"73",
"79",
"83",
"89",
"97",
"101",
"103",
"107",
"109",
"113",
"127",
"131",
"77",
"137",
"139",
"149",
"151",
"157",
"163",
"167",
"10",
"173",
"179",
"181",
"191",
"193",
"197",
"199",
"211",
"223",
"227",
"229",
"233",
"239"
] |
[
"nonn"
] | 5 | 1 | 2 |
[
"A090252",
"A355065",
"A355066"
] | null |
Rémy Sigrist, Jun 17 2022
| 2022-06-19T06:33:35 |
oeisdata/seq/A355/A355066.seq
|
85d3074cc4603fca713cdf7d0bfed665
|
A355067
|
a(n) is the failed skew zero forcing number of P^3_n.
|
[
"0",
"1",
"3",
"3",
"4",
"4",
"6",
"5",
"6",
"7",
"9",
"8",
"9",
"10",
"12",
"11",
"12",
"13",
"15",
"14",
"15",
"16",
"18",
"17",
"18",
"19",
"21",
"20",
"21",
"22",
"24",
"23",
"24",
"25",
"27",
"26",
"27",
"28",
"30",
"29",
"30",
"31",
"33",
"32",
"33",
"34",
"36",
"35",
"36",
"37",
"39",
"38",
"39",
"40",
"42",
"41",
"42",
"43"
] |
[
"nonn",
"easy"
] | 62 | 3 | 3 | null | null |
Aidan Johnson, Darren Narayan, and Andrew E. Vick, Jul 14 2022
| 2025-03-28T11:28:31 |
oeisdata/seq/A355/A355067.seq
|
dd475ca62cd791a89ea9949894371449
|
A355068
|
Square array read by upwards antidiagonals: T(n,k) = k-th digit after the decimal point in decimal expansion of 1/n, for n >= 1 and k >= 1.
|
[
"0",
"5",
"0",
"3",
"0",
"0",
"2",
"3",
"0",
"0",
"2",
"5",
"3",
"0",
"0",
"1",
"0",
"0",
"3",
"0",
"0",
"1",
"6",
"0",
"0",
"3",
"0",
"0",
"1",
"4",
"6",
"0",
"0",
"3",
"0",
"0",
"1",
"2",
"2",
"6",
"0",
"0",
"3",
"0",
"0",
"1",
"1",
"5",
"8",
"6",
"0",
"0",
"3",
"0",
"0",
"0",
"0",
"1",
"0",
"5",
"6",
"0",
"0",
"3",
"0",
"0",
"0",
"9",
"0",
"1",
"0",
"7",
"6",
"0",
"0",
"3",
"0",
"0",
"0",
"8",
"0",
"0",
"1",
"0",
"1",
"6",
"0"
] |
[
"base",
"easy",
"nonn",
"tabl"
] | 34 | 1 | 2 |
[
"A020806",
"A021017",
"A021018",
"A048962",
"A061480",
"A257927",
"A355068",
"A355202"
] | null |
Chittaranjan Pardeshi, Jun 17 2022
| 2022-06-25T10:01:29 |
oeisdata/seq/A355/A355068.seq
|
a7b98ea440df08df07c7b04af8fa52ad
|
A355069
|
a(n) is the number of solutions to x^y == y^x (mod p) where 0 < x,y <= p^2 - p and p is the n-th prime.
|
[
"2",
"14",
"104",
"366",
"1550",
"3048",
"6272",
"9774",
"14894",
"34664",
"48750",
"84456",
"108320",
"128814",
"128846",
"209768",
"255374",
"424680",
"479886",
"563150",
"700704",
"782574",
"712334",
"1068320",
"1614336",
"1649000",
"1721454",
"1527566",
"2299752",
"2328704",
"3654126",
"3428750",
"3834656",
"4201134",
"4596584"
] |
[
"nonn"
] | 45 | 1 | 1 |
[
"A000040",
"A355069",
"A355419"
] | null |
Darío Clavijo, Jun 17 2022
| 2022-09-01T19:27:35 |
oeisdata/seq/A355/A355069.seq
|
6861f4dd010c96ef892da11685dfd0ff
|
A355070
|
G.f.: Sum_{n>=0} a(n)*x^n/(n!*3^(n*(n-1)/2)) = log( Sum_{n>=0} x^n/(n!*3^(n*(n-1)/2)) ).
|
[
"0",
"1",
"-2",
"28",
"-1808",
"469072",
"-456745472",
"1601325615808",
"-19650153075181568",
"826737899840505194752",
"-117393483573257494026125312",
"55564698792825562646890851908608",
"-86789641569440259960965030826164092928"
] |
[
"sign"
] | 17 | 0 | 3 |
[
"A134531",
"A188457",
"A355070",
"A355071",
"A355073"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T13:59:44 |
oeisdata/seq/A355/A355070.seq
|
69adb51ad1b95647d559a2459f3191c6
|
A355071
|
G.f.: Sum_{n>=0} a(n)*x^n/(n!*4^(n*(n-1)/2)) = log( Sum_{n>=0} x^n/(n!*4^(n*(n-1)/2)) ).
|
[
"0",
"1",
"-3",
"81",
"-13311",
"11688705",
"-51334027263",
"1082183686000641",
"-106464672910860746751",
"47880898685034024043741185",
"-96901748928702482338511172665343",
"871602415363671863767026450797790494721"
] |
[
"sign"
] | 13 | 0 | 3 |
[
"A134531",
"A137435",
"A355070",
"A355071",
"A355074"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T13:59:55 |
oeisdata/seq/A355/A355071.seq
|
879e5c46111fc77e04b3000be3e29f5d
|
A355072
|
a(0) = 0, a(1) = 1; for n > 1, a(n) is the smallest positive number whose sum a(n) + a(n-1) is distinct from all previous sums, a(i) + a(i-1), i=1..n-1, whose product a(n) * a(n-1) is distinct from all previous products, a(i) * a(i-1), i=1..n-1, and whose difference |a(n) - a(n-1)| is distinct from all previous differences, |a(i) - a(i-1)|, i=1..n-1.
|
[
"0",
"1",
"1",
"3",
"6",
"1",
"5",
"11",
"1",
"9",
"16",
"1",
"10",
"21",
"1",
"13",
"26",
"1",
"17",
"3",
"20",
"1",
"23",
"5",
"28",
"1",
"25",
"46",
"1",
"29",
"3",
"32",
"2",
"34",
"3",
"37",
"1",
"40",
"2",
"42",
"1",
"44",
"2",
"46",
"9",
"42",
"7",
"53",
"1",
"49",
"96",
"2",
"55",
"4",
"54",
"103",
"1",
"61",
"2",
"59",
"5",
"60",
"116",
"1",
"65",
"2",
"67",
"1",
"69",
"7",
"65",
"126",
"1",
"72",
"5",
"74",
"1",
"73",
"143",
"1",
"77",
"3",
"78",
"155"
] |
[
"nonn"
] | 11 | 0 | 4 |
[
"A008344",
"A088177",
"A110654",
"A355072",
"A355135",
"A355136"
] | null |
Scott R. Shannon, Jun 18 2022
| 2022-06-22T07:41:50 |
oeisdata/seq/A355/A355072.seq
|
8161677097941bfeb8801a5c436513dd
|
A355073
|
G.f.: Sum_{n>=0} a(n)*x^n/(n!*3^(n*(n-1)/2)) = exp( Sum_{n>=1} x^n/(n!*3^(n*(n-1)/2)) ).
|
[
"1",
"1",
"4",
"55",
"2539",
"383860",
"187659181",
"293630900689",
"1459799672901004",
"22924423319469919651",
"1131844225175191511724871",
"175015470856131731421651730600",
"84480805958219938739735661779357401",
"126948830401157131161305967764668449231937"
] |
[
"nonn"
] | 14 | 0 | 3 |
[
"A000110",
"A240936",
"A355070",
"A355073",
"A355074",
"A355081"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:00:04 |
oeisdata/seq/A355/A355073.seq
|
e646fe22ed60e483336ac8e2dba77f96
|
A355074
|
G.f.: Sum_{n>=0} a(n)*x^n/(n!*4^(n*(n-1)/2)) = exp( Sum_{n>=1} x^n/(n!*4^(n*(n-1)/2)) ).
|
[
"1",
"1",
"5",
"113",
"11265",
"4859137",
"8966576129",
"70171067707393",
"2313986342570295297",
"319893682564775147012097",
"184627527352223449064321581057",
"443344010564094761887045848673550337",
"4416539344305075410912848824562640662560769"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000110",
"A240936",
"A355071",
"A355073",
"A355074",
"A355082"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:00:13 |
oeisdata/seq/A355/A355074.seq
|
185975ed8961b2ed602308a97a603f75
|
A355075
|
a(n) is the numerator of Sum_{k = 0..n} fusc(k)/fusc(k+1) (where fusc is Stern's diatomic series A002487).
|
[
"0",
"1",
"3",
"7",
"23",
"16",
"6",
"9",
"37",
"127",
"671",
"821",
"169",
"63",
"33",
"41",
"207",
"439",
"3153",
"10439",
"21193",
"22537",
"23137",
"26077",
"26317",
"27493",
"14009",
"5043",
"729",
"191",
"39",
"44",
"265",
"1361",
"4133",
"8671",
"96101",
"694487",
"704189",
"750389",
"754169",
"1546453",
"20325649",
"4252517",
"4282547"
] |
[
"nonn",
"look",
"frac"
] | 12 | 0 | 3 |
[
"A002487",
"A174868",
"A355075",
"A355076"
] | null |
Rémy Sigrist, Jun 18 2022
| 2022-06-19T18:42:24 |
oeisdata/seq/A355/A355075.seq
|
11eedeb39b3ef54f3d9ccc216c90fd68
|
A355076
|
a(n) is the denominator of Sum_{k = 0..n} fusc(k)/fusc(k+1) (where fusc is Stern's diatomic series A002487).
|
[
"1",
"1",
"2",
"2",
"6",
"3",
"1",
"1",
"4",
"12",
"60",
"60",
"12",
"4",
"2",
"2",
"10",
"20",
"140",
"420",
"840",
"840",
"840",
"840",
"840",
"840",
"420",
"140",
"20",
"5",
"1",
"1",
"6",
"30",
"90",
"180",
"1980",
"13860",
"13860",
"13860",
"13860",
"27720",
"360360",
"72072",
"72072",
"72072",
"8008",
"8008",
"72072",
"72072",
"72072",
"360360",
"27720"
] |
[
"nonn",
"look",
"frac"
] | 11 | 0 | 3 |
[
"A002487",
"A174868",
"A355075",
"A355076"
] | null |
Rémy Sigrist, Jun 18 2022
| 2022-06-19T18:42:56 |
oeisdata/seq/A355/A355076.seq
|
a93384c245d47a10a93eeeb8bbb05e62
|
A355077
|
Types of joints numbered 1, 2 and 3, of placed matchsticks forming an infinite three-armed spiral with "thorns".
|
[
"0",
"2",
"3",
"2",
"2",
"2",
"2",
"3",
"1",
"1",
"2",
"2",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2",
"3",
"1",
"1",
"2"
] |
[
"nonn"
] | 67 | 1 | 2 |
[
"A000079",
"A355077"
] | null |
Tamas Sandor Nagy, Sep 12 2022
| 2022-09-26T20:42:21 |
oeisdata/seq/A355/A355077.seq
|
93828e738b9765bfe62884c7748dea6c
|
A355078
|
a(n) is the smallest number k with exactly n divisors in A033075.
|
[
"1",
"2",
"4",
"6",
"18",
"12",
"24",
"60",
"120",
"168",
"360",
"1080",
"840",
"3360",
"2520",
"7560",
"15120",
"30240",
"84840",
"196560",
"339360",
"254520",
"1102920",
"763560",
"1527120",
"4581360",
"3054240",
"9162720",
"9926280",
"19852560",
"59557680",
"39705120",
"119115360",
"277935840",
"674987040",
"1151448480",
"1469089440"
] |
[
"nonn",
"base"
] | 9 | 1 | 2 |
[
"A033075",
"A355078"
] | null |
Marius A. Burtea, Jul 11 2022
| 2022-09-12T03:55:27 |
oeisdata/seq/A355/A355078.seq
|
607ef39a740ef8ef84dca33ad096e8bd
|
A355079
|
Irregular triangle read by rows: the first row is 1, and the n-th row (n > 1) lists the factors f of n where n/f is prime (the maximal factors of n.)
|
[
"1",
"1",
"1",
"2",
"1",
"2",
"3",
"1",
"4",
"3",
"2",
"5",
"1",
"4",
"6",
"1",
"2",
"7",
"3",
"5",
"8",
"1",
"6",
"9",
"1",
"4",
"10",
"3",
"7",
"2",
"11",
"1",
"8",
"12",
"5",
"2",
"13",
"9",
"4",
"14",
"1",
"6",
"10",
"15",
"1",
"16",
"3",
"11",
"2",
"17",
"5",
"7",
"12",
"18",
"1",
"2",
"19",
"3",
"13",
"8",
"20",
"1",
"6",
"14",
"21",
"1",
"4",
"22",
"9",
"15",
"2",
"23",
"1",
"16",
"24",
"7",
"10",
"25"
] |
[
"nonn",
"tabf"
] | 39 | 1 | 4 |
[
"A019312",
"A302170",
"A355079"
] | null |
Brian Chess, Sep 17 2022
| 2022-09-22T18:20:31 |
oeisdata/seq/A355/A355079.seq
|
3fe654c253e403029bce64ed1a8df503
|
A355080
|
Start with the positive integers. Term by term from left to right insert a copy of the current term x m steps further, where m is the number of times x has appeared.
|
[
"1",
"1",
"2",
"2",
"1",
"2",
"3",
"3",
"1",
"3",
"2",
"4",
"4",
"3",
"4",
"1",
"2",
"4",
"3",
"5",
"5",
"1",
"5",
"4",
"2",
"5",
"3",
"6",
"6",
"4",
"6",
"5",
"1",
"6",
"2",
"3",
"5",
"6",
"4",
"7",
"7",
"1",
"7",
"2",
"6",
"7",
"5",
"3",
"4",
"7",
"8",
"8",
"6",
"8",
"1",
"5",
"8",
"7",
"2",
"3",
"8",
"6",
"4",
"7",
"9",
"9",
"8",
"9",
"5",
"1",
"9",
"2",
"6",
"8",
"9",
"7",
"3",
"4",
"5",
"9",
"10",
"10",
"8",
"10",
"1",
"7",
"10",
"6"
] |
[
"nonn",
"hear"
] | 40 | 1 | 3 |
[
"A000124",
"A354223",
"A355080"
] | null |
Thomas Scheuerle, Jun 18 2022
| 2022-06-22T20:41:30 |
oeisdata/seq/A355/A355080.seq
|
2bfb2c3b4e33705cd4830d7589370658
|
A355081
|
G.f. A(x) satisfies A(x) = 1 + x * A(3 * x / (1 - x)) / (1 - x).
|
[
"1",
"1",
"4",
"43",
"1279",
"108472",
"26888677",
"19761575473",
"43356335678176",
"284807217244068223",
"5608422162798704960959",
"331227791701602557410058404",
"58679652813856265804094312228601",
"31185477505022553490008128886444268657"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A000110",
"A126443",
"A306245",
"A355081",
"A355082"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:00:20 |
oeisdata/seq/A355/A355081.seq
|
bda951fba4339e6f07ffdde180eff291
|
A355082
|
G.f. A(x) satisfies A(x) = 1 + x * A(4 * x / (1 - x)) / (1 - x).
|
[
"1",
"1",
"5",
"89",
"5949",
"1546225",
"1591006901",
"6526287232201",
"106972340665773165",
"7011394913950382306529",
"1838058207026378316690626149",
"1927362102757461997768349891040825",
"8083963777926072174628168609626454270621"
] |
[
"nonn"
] | 10 | 0 | 3 |
[
"A000110",
"A126443",
"A306245",
"A355081",
"A355082"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:00:28 |
oeisdata/seq/A355/A355082.seq
|
304d9f05d99057a5332abf12c3829e2d
|
A355083
|
E.g.f. A(x) satisfies A(x) = 1 + 2 * (exp(x) - 1) * A(exp(x) - 1).
|
[
"1",
"2",
"10",
"86",
"1106",
"19562",
"451014",
"13051586",
"460907034",
"19434738686",
"961628831658",
"55046140338642",
"3602414472002206",
"266842000568643866",
"22180625837341816898",
"2053584526860808500094",
"210393497508897167616290",
"23715128208081620773251530"
] |
[
"nonn"
] | 22 | 0 | 2 |
[
"A213357",
"A355083",
"A355092",
"A355100"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:40:33 |
oeisdata/seq/A355/A355083.seq
|
1df89dfcab15e7185f3a67b24510e117
|
A355084
|
E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(2*x).
|
[
"1",
"1",
"3",
"32",
"962",
"74604",
"14102416",
"6268777248",
"6394217598800",
"14703540690658848",
"75208658403123879744",
"846736815151560907880448",
"20804324374762392749905814784",
"1107653447201119751335031683041792",
"127026805293926861783650032004892737536"
] |
[
"nonn"
] | 9 | 0 | 3 |
[
"A006252",
"A352860",
"A355084",
"A355085",
"A355086"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T23:03:47 |
oeisdata/seq/A355/A355084.seq
|
2ecd1385a7394ff42ca506f66145c0bb
|
A355085
|
E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(3*x).
|
[
"1",
"1",
"5",
"128",
"13572",
"5462934",
"7948602294",
"40533916402440",
"709019302729063320",
"41863690463023189162224",
"8239820880700969013925719856",
"5352039696398504114334881521575792",
"11377141201027327036487229661596883688304"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A006252",
"A355084",
"A355085",
"A355087",
"A355088"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T23:03:51 |
oeisdata/seq/A355/A355085.seq
|
2af1fe8ed316177a47c1455d311a7a41
|
A355086
|
E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(2*x).
|
[
"1",
"1",
"5",
"68",
"2318",
"191364",
"37322176",
"16851654336",
"17323677619888",
"39991811695203552",
"204958165376127918144",
"2309776412016044230960128",
"56778926016923229432156258048",
"3023733345610004146919028796718592"
] |
[
"sign"
] | 9 | 0 | 3 |
[
"A007840",
"A352860",
"A355086",
"A355087"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:13:52 |
oeisdata/seq/A355/A355086.seq
|
d9a9368251cbe3e6e65056dd916a291f
|
A355087
|
E.g.f. A(x) satisfies A(x) = 1 - log(1-x) * A(3*x).
|
[
"1",
"1",
"7",
"200",
"22008",
"8968614",
"13103201154",
"66911528280456",
"1170951806182816008",
"69148802888161984160496",
"13610904625275511792310726256",
"8840888240006182011615570947541552",
"18793694994107665289261434484161549856688"
] |
[
"nonn"
] | 7 | 0 | 3 |
[
"A007840",
"A355086",
"A355087",
"A355088"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:13:57 |
oeisdata/seq/A355/A355087.seq
|
4e7aa6276f9d12cb2e35c09a9a94771e
|
A355088
|
E.g.f. A(x) satisfies A(x) = 1 + (exp(x) - 1) * A(3*x).
|
[
"1",
"1",
"7",
"199",
"21883",
"8916991",
"13027669147",
"66525761289919",
"1164200761777844203",
"68750129286493392353311",
"13532431689375421261723713787",
"8789916574829303798007959322784639",
"18685340957126032386127459367999667264523"
] |
[
"nonn"
] | 8 | 0 | 3 |
[
"A000670",
"A352860",
"A355085",
"A355087",
"A355088"
] | null |
Seiichi Manyama, Jun 18 2022
| 2022-06-18T14:14:02 |
oeisdata/seq/A355/A355088.seq
|
856f4b36c7a143517812ae662bfb633d
|
A355089
|
Number of parity-alternating permutations of [n] avoiding the pattern 123.
|
[
"1",
"1",
"1",
"1",
"3",
"3",
"10",
"11",
"37",
"44",
"146",
"185",
"603",
"808",
"2576",
"3635",
"11294",
"16736",
"50545",
"78466",
"230012",
"373203",
"1061236",
"1795611",
"4953447",
"8721086",
"23350320",
"42691298",
"111013825",
"210379132",
"531720722"
] |
[
"nonn"
] | 12 | 0 | 5 |
[
"A000108",
"A010551",
"A354208",
"A355089"
] | null |
Per W. Alexandersson, Jun 18 2022
| 2023-05-04T09:52:28 |
oeisdata/seq/A355/A355089.seq
|
4747a783402e501356c1b30dbc236899
|
A355090
|
Square array A(n, k), n >= 0, k > 0, read by antidiagonals upwards; A(n, k) is the unique m such that n/k = fusc(m)/fusc(m+1) (where fusc is Stern's diatomic series A002487).
|
[
"0",
"1",
"0",
"3",
"2",
"0",
"7",
"1",
"4",
"0",
"15",
"5",
"6",
"8",
"0",
"31",
"3",
"1",
"2",
"16",
"0",
"63",
"11",
"9",
"14",
"12",
"32",
"0",
"127",
"7",
"13",
"1",
"10",
"4",
"64",
"0",
"255",
"23",
"3",
"17",
"30",
"2",
"24",
"128",
"0",
"511",
"15",
"19",
"5",
"1",
"6",
"28",
"8",
"256",
"0",
"1023",
"47",
"27",
"29",
"33",
"62",
"18",
"20",
"48",
"512",
"0",
"2047",
"31",
"7",
"3",
"25",
"1",
"22",
"2",
"4",
"16",
"1024",
"0"
] |
[
"nonn",
"tabl"
] | 13 | 0 | 4 |
[
"A000918",
"A002487",
"A054429",
"A355090"
] | null |
Rémy Sigrist, Jun 18 2022
| 2022-06-20T04:27:16 |
oeisdata/seq/A355/A355090.seq
|
b3a29b8d2548cae402d4009d669f657d
|
A355091
|
Variant of A253028 using only prime numbers.
|
[
"2",
"3",
"5",
"2",
"7",
"11",
"3",
"2",
"5",
"13",
"17",
"19",
"23",
"7",
"3",
"2",
"5",
"11",
"29",
"31",
"13",
"7",
"3",
"2",
"2",
"3",
"5",
"11",
"17",
"37",
"41",
"19",
"43",
"47",
"53",
"59",
"23",
"13",
"29",
"61",
"67",
"31",
"17",
"7",
"5",
"3",
"2",
"5",
"7",
"11",
"19",
"37",
"71",
"73",
"41",
"23",
"13",
"11",
"7",
"3",
"2",
"2",
"3",
"5",
"11",
"13",
"17",
"29",
"43",
"79"
] |
[
"nonn",
"tabf"
] | 10 | 1 | 1 |
[
"A253028",
"A354576",
"A354577",
"A355091"
] | null |
Rémy Sigrist, Jun 19 2022
| 2022-06-26T09:15:10 |
oeisdata/seq/A355/A355091.seq
|
d39a2987c1a9301650d08d21ffff6abe
|
A355092
|
E.g.f. A(x) satisfies A(x) = 1 + 3 * (exp(x) - 1) * A(exp(x) - 1).
|
[
"1",
"3",
"21",
"246",
"4215",
"97743",
"2917200",
"108150780",
"4850518269",
"257827235520",
"15978078982389",
"1139042647968096",
"92364503720316726",
"8439008013526902906",
"861692986696232539398",
"97635567184812702273234",
"12199893866233489801453323",
"1671886886212411035295719261"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A213357",
"A355083",
"A355092",
"A355101"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:40:28 |
oeisdata/seq/A355/A355092.seq
|
f60efa2290b0bdcdffdb7f4147b923ae
|
A355093
|
E.g.f. A(x) satisfies A(x) = 1 + 2 * (1 - exp(-x)) * A(1 - exp(-x)).
|
[
"1",
"2",
"6",
"14",
"-50",
"-838",
"1730",
"136530",
"-486826",
"-53845210",
"608573414",
"39761626434",
"-1250658124134",
"-39125693738246",
"3470290682698798",
"1980500546819286",
"-11592469556319388642",
"475984934077375262394",
"35772633977318034763762"
] |
[
"sign"
] | 8 | 0 | 2 |
[
"A353177",
"A355093",
"A355094",
"A355102"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:42:03 |
oeisdata/seq/A355/A355093.seq
|
4e6bb7a4741cec6de4dd322597923645
|
A355094
|
E.g.f. A(x) satisfies A(x) = 1 + 3 * (1 - exp(-x)) * A(1 - exp(-x)).
|
[
"1",
"3",
"15",
"84",
"321",
"-2157",
"-57126",
"-23496",
"19229199",
"114026754",
"-14369595177",
"-124727102772",
"21679898019936",
"89714147328354",
"-57010454409251982",
"653678598376462566",
"223463102168891738085",
"-9691395708350731626375",
"-1087655068021435814109648"
] |
[
"sign"
] | 8 | 0 | 2 |
[
"A353177",
"A355093",
"A355094",
"A355103"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:42:00 |
oeisdata/seq/A355/A355094.seq
|
9c6295ae190ff7ce3be8abdd7cbde9b2
|
A355095
|
Taxicab numbers (sums of 2 cubes in more than 1 way) which are products of five distinct primes.
|
[
"16387189",
"16776487",
"17045567",
"24767171",
"38253878",
"39639691",
"40183262",
"41892515",
"44409995",
"51278929",
"60271939",
"73842713",
"106496767",
"122810129",
"129380329",
"145908847",
"154245637",
"156234169",
"176427433",
"197842337",
"243578881",
"271688534",
"272264167",
"292940137",
"300694303",
"373333697",
"389675503",
"401947273"
] |
[
"nonn"
] | 16 | 1 | 1 |
[
"A001235",
"A046387",
"A355095"
] | null |
Massimo Kofler, Jun 19 2022
| 2025-02-16T08:34:03 |
oeisdata/seq/A355/A355095.seq
|
87d17cac3f9b67de575ebd427e063f8f
|
A355096
|
E.g.f. A(x) satisfies A(x) = 1 + 2 * log(1+x) * A(log(1+x)).
|
[
"1",
"2",
"6",
"16",
"-12",
"-492",
"628",
"63488",
"-408112",
"-20183928",
"444216616",
"9449212584",
"-679737200176",
"2572902869080",
"1276955484043864",
"-53294396490490656",
"-1891642613896659904",
"314259171327032640928",
"-8590801196259162852288",
"-1381246455381881103425424"
] |
[
"sign"
] | 8 | 0 | 2 |
[
"A354728",
"A355096",
"A355097",
"A355104"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:41:55 |
oeisdata/seq/A355/A355096.seq
|
fdad8eb0ab42a06b9b884e70f30c0c5b
|
A355097
|
E.g.f. A(x) satisfies A(x) = 1 + 3 * log(1+x) * A(log(1+x)).
|
[
"1",
"3",
"15",
"87",
"414",
"-333",
"-36207",
"-125415",
"9692208",
"65346480",
"-6686193834",
"-28979410023",
"9399236141664",
"-74034590428035",
"-21601690453093869",
"753341807730002715",
"64208547156310265880",
"-6137571162315494165580",
"-131200755856066508312736"
] |
[
"sign"
] | 9 | 0 | 2 |
[
"A354728",
"A355096",
"A355097",
"A355105"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T09:43:18 |
oeisdata/seq/A355/A355097.seq
|
fedd8f54b90b1f8e2193f51ed4554455
|
A355098
|
E.g.f. A(x) satisfies A(x) = 1 - 2 * log(1-x) * A(-log(1-x)).
|
[
"1",
"2",
"10",
"88",
"1164",
"21228",
"505108",
"15088400",
"549924048",
"23922798360",
"1220592387496",
"72008007861128",
"4853864641010384",
"370112914857814360",
"31651011896528812776",
"3013092750843813488640",
"317232128940068230592960",
"36726669357239166496674080"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A135750",
"A355098",
"A355099",
"A355106"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T09:43:14 |
oeisdata/seq/A355/A355098.seq
|
2f495e8abc70dfcf0ce285af2ee87736
|
A355099
|
E.g.f. A(x) satisfies A(x) = 1 - 3 * log(1-x) * A(-log(1-x)).
|
[
"1",
"3",
"21",
"249",
"4338",
"102537",
"3123513",
"118277037",
"5420074248",
"294405725628",
"18643757033286",
"1357970251340601",
"112491520189940304",
"10497256870300840845",
"1094461858289007808209",
"126592088471657042694381",
"16143127318109911141849896",
"2257107645258692949884188932"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A135750",
"A355098",
"A355099",
"A355107"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T09:43:09 |
oeisdata/seq/A355/A355099.seq
|
33ea402604099518dbc7b5dc9df3a866
|
A355100
|
E.g.f. A(x) satisfies A(x) = 1 + 2 * x * A(exp(x) - 1).
|
[
"1",
"2",
"8",
"60",
"688",
"11060",
"234744",
"6314196",
"208825376",
"8296326612",
"388694773720",
"21155834296476",
"1321107368127408",
"93662776272057356",
"7471576015922028248",
"665418775120254506940",
"65714704859545872003008",
"7153378915302503698953860"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A048801",
"A355083",
"A355100",
"A355101"
] | null |
Seiichi Manyama, Jun 19 2022
| 2022-06-19T08:40:37 |
oeisdata/seq/A355/A355100.seq
|
9f52d7708ba7906ce3c5f0081c813cc6
|
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