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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A354201
|
Inverse prime map of A354200.
|
[
"1",
"1",
"2",
"3",
"7",
"5",
"13",
"11",
"19",
"17",
"23",
"29",
"37",
"31",
"43",
"41",
"47",
"53",
"59",
"67",
"61",
"71",
"79",
"73",
"89",
"97",
"83",
"103",
"101",
"109",
"107",
"127",
"113",
"131",
"137",
"139",
"149",
"151",
"163",
"157",
"167",
"173",
"179",
"181",
"193",
"191",
"199",
"211",
"223",
"197",
"229",
"227",
"233",
"239",
"241",
"251",
"257",
"263",
"269",
"277",
"271",
"281",
"283",
"307",
"293",
"313",
"311",
"317",
"331",
"337"
] |
[
"nonn"
] | 5 | 1 | 3 |
[
"A000040",
"A000720",
"A354200",
"A354201",
"A354203"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-23T17:45:40 |
oeisdata/seq/A354/A354201.seq
|
0919f1f920ccc8c530b09734b2c6b295
|
A354202
|
Fully multiplicative with a(p^e) = A354200(A000720(p))^e.
|
[
"1",
"5",
"7",
"25",
"13",
"35",
"11",
"125",
"49",
"65",
"19",
"175",
"17",
"55",
"91",
"625",
"29",
"245",
"23",
"325",
"77",
"95",
"31",
"875",
"169",
"85",
"343",
"275",
"37",
"455",
"43",
"3125",
"133",
"145",
"143",
"1225",
"41",
"115",
"119",
"1625",
"53",
"385",
"47",
"475",
"637",
"155",
"59",
"4375",
"121",
"845",
"203",
"425",
"61",
"1715",
"247",
"1375",
"161",
"185",
"67",
"2275",
"73",
"215",
"539",
"15625",
"221",
"665",
"71",
"725"
] |
[
"nonn",
"mult"
] | 7 | 1 | 2 |
[
"A003961",
"A007310",
"A108548",
"A267099",
"A332818",
"A348746",
"A354091",
"A354200",
"A354202",
"A354203",
"A354204",
"A354205"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-23T17:45:43 |
oeisdata/seq/A354/A354202.seq
|
1224d718b6442b73d7dfe5c289b0fe24
|
A354203
|
Fully multiplicative with a(p^e) = A354201(A000720(p))^e.
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"2",
"7",
"1",
"5",
"3",
"2",
"1",
"13",
"1",
"11",
"2",
"3",
"7",
"19",
"1",
"4",
"5",
"1",
"3",
"17",
"2",
"23",
"1",
"7",
"13",
"6",
"1",
"29",
"11",
"5",
"2",
"37",
"3",
"31",
"7",
"2",
"19",
"43",
"1",
"9",
"4",
"13",
"5",
"41",
"1",
"14",
"3",
"11",
"17",
"47",
"2",
"53",
"23",
"3",
"1",
"10",
"7",
"59",
"13",
"19",
"6",
"67",
"1",
"61",
"29",
"4",
"11",
"21",
"5",
"71",
"2",
"1",
"37",
"79",
"3",
"26",
"31",
"17",
"7",
"73",
"2",
"15",
"19",
"23"
] |
[
"nonn",
"mult"
] | 5 | 1 | 5 |
[
"A354201",
"A354202",
"A354203",
"A354206"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-23T17:45:49 |
oeisdata/seq/A354/A354203.seq
|
d1bef28c637256cb717522dd2e9f8820
|
A354204
|
a(n) = phi(A354202(n)), where A354202 is fully multiplicative with a(p) = A354200(A000720(p)).
|
[
"1",
"4",
"6",
"20",
"12",
"24",
"10",
"100",
"42",
"48",
"18",
"120",
"16",
"40",
"72",
"500",
"28",
"168",
"22",
"240",
"60",
"72",
"30",
"600",
"156",
"64",
"294",
"200",
"36",
"288",
"42",
"2500",
"108",
"112",
"120",
"840",
"40",
"88",
"96",
"1200",
"52",
"240",
"46",
"360",
"504",
"120",
"58",
"3000",
"110",
"624",
"168",
"320",
"60",
"1176",
"216",
"1000",
"132",
"144",
"66",
"1440",
"72",
"168",
"420",
"12500",
"192",
"432",
"70",
"560",
"180"
] |
[
"nonn",
"mult"
] | 6 | 1 | 2 |
[
"A000010",
"A008683",
"A354200",
"A354202",
"A354204",
"A354205"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-23T17:45:53 |
oeisdata/seq/A354/A354204.seq
|
f9c9c640d4755238f7ca62e568136057
|
A354205
|
a(n) = sigma(A354202(n)), where A354202 is fully multiplicative with a(p) = A354200(A000720(p)).
|
[
"1",
"6",
"8",
"31",
"14",
"48",
"12",
"156",
"57",
"84",
"20",
"248",
"18",
"72",
"112",
"781",
"30",
"342",
"24",
"434",
"96",
"120",
"32",
"1248",
"183",
"108",
"400",
"372",
"38",
"672",
"44",
"3906",
"160",
"180",
"168",
"1767",
"42",
"144",
"144",
"2184",
"54",
"576",
"48",
"620",
"798",
"192",
"60",
"6248",
"133",
"1098",
"240",
"558",
"62",
"2400",
"280",
"1872",
"192",
"228",
"68",
"3472",
"74",
"264",
"684",
"19531",
"252",
"960",
"72"
] |
[
"nonn",
"mult"
] | 7 | 1 | 2 |
[
"A000203",
"A000290",
"A000720",
"A003973",
"A354089",
"A354093",
"A354200",
"A354202",
"A354204",
"A354205",
"A354206"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-23T17:45:57 |
oeisdata/seq/A354/A354205.seq
|
606038624b54af4de5e44ecc86432e74
|
A354206
|
a(n) = A354203(sigma(A354202(n))), where A354202 is fully multiplicative with a(p) = A354200(A000720(p)), and A354203 is its left inverse.
|
[
"1",
"1",
"1",
"23",
"3",
"1",
"1",
"5",
"11",
"3",
"2",
"23",
"1",
"1",
"3",
"469",
"2",
"11",
"1",
"69",
"1",
"2",
"1",
"5",
"53",
"1",
"4",
"23",
"11",
"3",
"7",
"69",
"2",
"2",
"3",
"253",
"3",
"1",
"1",
"15",
"1",
"1",
"1",
"46",
"33",
"1",
"2",
"469",
"33",
"53",
"2",
"23",
"23",
"4",
"6",
"5",
"1",
"11",
"13",
"69",
"29",
"7",
"11",
"19507",
"3",
"2",
"1",
"46",
"1",
"3",
"2",
"55",
"2",
"3",
"53",
"23",
"2",
"1",
"3",
"1407",
"2797",
"1",
"5",
"23",
"6",
"1",
"11",
"10",
"9",
"33"
] |
[
"nonn",
"mult"
] | 15 | 1 | 4 |
[
"A000203",
"A000720",
"A326042",
"A348750",
"A354088",
"A354096",
"A354200",
"A354201",
"A354202",
"A354203",
"A354205",
"A354206",
"A354207",
"A354361"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-24T16:31:53 |
oeisdata/seq/A354/A354206.seq
|
e3fa1e77cbb0a22919eca8e9005dd938
|
A354207
|
a(n) = n - A354203(sigma(A354202(n))), where A354202 is fully multiplicative with a(p) = A354200(A000720(p)), and A354203 is its left inverse.
|
[
"0",
"1",
"2",
"-19",
"2",
"5",
"6",
"3",
"-2",
"7",
"9",
"-11",
"12",
"13",
"12",
"-453",
"15",
"7",
"18",
"-49",
"20",
"20",
"22",
"19",
"-28",
"25",
"23",
"5",
"18",
"27",
"24",
"-37",
"31",
"32",
"32",
"-217",
"34",
"37",
"38",
"25",
"40",
"41",
"42",
"-2",
"12",
"45",
"45",
"-421",
"16",
"-3",
"49",
"29",
"30",
"50",
"49",
"51",
"56",
"47",
"46",
"-9",
"32",
"55",
"52",
"-19443",
"62",
"64",
"66",
"22",
"68",
"67",
"69",
"17",
"71",
"71",
"22",
"53",
"75",
"77",
"76"
] |
[
"sign"
] | 10 | 1 | 3 |
[
"A000203",
"A348736",
"A354200",
"A354201",
"A354202",
"A354203",
"A354205",
"A354206",
"A354207"
] | null |
Antti Karttunen, May 23 2022
| 2022-05-24T16:32:00 |
oeisdata/seq/A354/A354207.seq
|
ed3c113189a2d2558fdc0460eec8e85f
|
A354208
|
Number of parity-alternating permutations of [n] avoiding the pattern 321.
|
[
"1",
"1",
"1",
"1",
"2",
"3",
"6",
"11",
"22",
"44",
"89",
"185",
"382",
"808",
"1702",
"3635",
"7779",
"16736",
"36229",
"78466",
"171238",
"373203",
"819186",
"1795611",
"3958662",
"8721086",
"19294525",
"42691298",
"94733886",
"210379132",
"468084856",
"1042703207",
"2325575076",
"5193931583",
"11609749877",
"25986720374",
"58203955771"
] |
[
"nonn"
] | 56 | 0 | 5 |
[
"A000108",
"A010551",
"A354208"
] | null |
Per W. Alexandersson, Jun 06 2022
| 2023-05-04T10:04:45 |
oeisdata/seq/A354/A354208.seq
|
149a00ced729e383bb064507e70eb0f0
|
A354209
|
Decimal expansion of Pi/gamma, where gamma is Euler's constant (or the Euler-Mascheroni constant).
|
[
"5",
"4",
"4",
"2",
"6",
"6",
"7",
"0",
"0",
"4",
"0",
"6",
"6",
"3",
"5",
"2",
"0",
"2",
"6",
"3",
"6",
"8",
"4",
"8",
"4",
"1",
"2",
"1",
"5",
"9",
"8",
"4",
"6",
"9",
"5",
"1",
"3",
"3",
"1",
"4",
"2",
"0",
"4",
"6",
"4",
"3",
"2",
"4",
"6",
"7",
"0",
"6",
"6",
"5",
"3",
"3",
"4",
"9",
"4",
"4",
"9",
"2",
"1",
"6",
"8",
"5",
"9",
"3",
"6",
"5",
"1",
"0",
"1",
"4",
"9",
"9",
"2",
"2",
"3",
"2",
"3",
"3",
"3",
"5",
"3",
"2",
"5"
] |
[
"nonn",
"cons"
] | 8 | 1 | 1 |
[
"A000796",
"A001620",
"A354209"
] | null |
Marco Ripà, May 19 2022
| 2022-07-01T10:54:24 |
oeisdata/seq/A354/A354209.seq
|
87f6f83cc22c01ff12fe8d7d667e1ac7
|
A354210
|
a(n) = floor(sqrt(Fibonacci(n+1)*Fibonacci(n))).
|
[
"0",
"1",
"1",
"2",
"3",
"6",
"10",
"16",
"26",
"43",
"69",
"113",
"183",
"296",
"479",
"775",
"1255",
"2031",
"3286",
"5318",
"8605",
"13923",
"22528",
"36452",
"58981",
"95433",
"154414",
"249847",
"404261",
"654109",
"1058371",
"1712480",
"2770851",
"4483332",
"7254184",
"11737516",
"18991701",
"30729217",
"49720919",
"80450136",
"130171055",
"210621192"
] |
[
"nonn"
] | 13 | 0 | 4 |
[
"A000045",
"A001654",
"A061287",
"A199575",
"A354210"
] | null |
Michel Marcus, May 19 2022
| 2025-01-05T19:51:42 |
oeisdata/seq/A354/A354210.seq
|
dbf24d5480e0d69950b586acf02c656d
|
A354211
|
a(n) is the numerator of Sum_{k=0..n} 1 / (2*k+1)!.
|
[
"1",
"7",
"47",
"5923",
"426457",
"15636757",
"7318002277",
"1536780478171",
"603180793741",
"142957467201379447",
"60042136224579367741",
"10127106976545720025649",
"18228792557782296046168201",
"12796612375563171824410077103",
"3463616416319098507140327535879",
"1380498543075754976417359117871773"
] |
[
"nonn",
"frac"
] | 26 | 0 | 2 |
[
"A009445",
"A053557",
"A061354",
"A073742",
"A103816",
"A120265",
"A143382",
"A289381",
"A354211",
"A354331",
"A354332",
"A354334"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-24T12:54:53 |
oeisdata/seq/A354/A354211.seq
|
479ec45b1f46ce24b0ee91b939bb98fa
|
A354212
|
Numbers k such that A297330(k)*k and k have the same digits but in a different order.
|
[
"11688",
"116688",
"126888",
"1166688",
"1266888",
"11666688",
"12446778",
"12666888",
"116666688",
"123456789",
"124466778",
"126666888"
] |
[
"nonn",
"base",
"more"
] | 18 | 1 | 1 |
[
"A297330",
"A354212"
] | null |
J. M. Bergot and Robert Israel, May 19 2022
| 2022-05-31T11:02:10 |
oeisdata/seq/A354/A354212.seq
|
b0ab8fb2e8198f007e96c5088a81ae97
|
A354213
|
Decimal expansion of Sum_{k>=1} 1/sinh((k - 1/2)*Pi)^4.
|
[
"0",
"3",
"5",
"6",
"5",
"4",
"0",
"7",
"2",
"9",
"2",
"1",
"2",
"8",
"5",
"1",
"1",
"6",
"4",
"7",
"7",
"7",
"0",
"6",
"1",
"3",
"2",
"5",
"9",
"3",
"9",
"8",
"9",
"2",
"3",
"2",
"8",
"5",
"0",
"3",
"2",
"5",
"6",
"2",
"5",
"9",
"6",
"6",
"3",
"9",
"0",
"5",
"9",
"6",
"6",
"3",
"8",
"1",
"5",
"8",
"9",
"4",
"6",
"0",
"9",
"2",
"5",
"4",
"9",
"6",
"1",
"6",
"1",
"8",
"3",
"4",
"8",
"5",
"2",
"9",
"7",
"1",
"8",
"1",
"0",
"2",
"2",
"6",
"2",
"6",
"0",
"3",
"2",
"4",
"9",
"5",
"9",
"9",
"2",
"7",
"6",
"6",
"2",
"3",
"0",
"6",
"9"
] |
[
"nonn",
"cons"
] | 14 | 0 | 2 |
[
"A240964",
"A354213",
"A354214"
] | null |
Vaclav Kotesovec, May 19 2022
| 2022-05-20T01:53:44 |
oeisdata/seq/A354/A354213.seq
|
b7470bdb2816cb51a47e74af6014e719
|
A354214
|
Decimal expansion of Sum_{k>=1} 1/sinh(k*Pi)^4.
|
[
"5",
"6",
"2",
"1",
"6",
"4",
"1",
"9",
"8",
"0",
"4",
"7",
"7",
"1",
"8",
"7",
"3",
"2",
"8",
"2",
"7",
"5",
"3",
"3",
"9",
"9",
"4",
"4",
"1",
"4",
"5",
"5",
"6",
"6",
"1",
"1",
"1",
"0",
"8",
"1",
"4",
"7",
"7",
"7",
"2",
"8",
"4",
"3",
"3",
"8",
"0",
"0",
"6",
"4",
"3",
"2",
"1",
"0",
"6",
"0",
"2",
"0",
"3",
"7",
"6",
"2",
"1",
"8",
"1",
"8",
"6",
"2",
"4",
"6",
"1",
"7",
"2",
"3",
"9",
"4",
"5",
"9",
"2",
"4",
"4",
"4",
"2",
"0",
"5",
"0",
"7",
"6",
"0",
"5",
"4",
"5",
"6",
"1",
"3",
"2",
"0",
"6",
"6",
"2",
"9",
"6"
] |
[
"nonn",
"cons"
] | 9 | -4 | 1 |
[
"A110191",
"A254446",
"A335414",
"A335415",
"A354213",
"A354214"
] | null |
Vaclav Kotesovec, May 19 2022
| 2022-05-20T01:54:57 |
oeisdata/seq/A354/A354214.seq
|
41f4dd6ebbb14634f82c83213a3bfb40
|
A354215
|
a(n) is the row number of the Trithoff (tribonacci) array where we can find the tail of the following sequence: apply the difference operator n times to the tribonacci sequence.
|
[
"1",
"2",
"3",
"7",
"19",
"29",
"81",
"125",
"353",
"161",
"1545",
"705",
"2001",
"3089",
"8769",
"24897",
"38433",
"109121",
"309825",
"478273",
"1357953",
"2096257",
"5951873",
"2715905"
] |
[
"nonn",
"more"
] | 13 | 0 | 2 |
[
"A000073",
"A136175",
"A351685",
"A351689",
"A353178",
"A353193",
"A354215"
] | null |
Tanya Khovanova and PRIMES STEP Senior group, May 19 2022
| 2022-11-04T07:31:12 |
oeisdata/seq/A354/A354215.seq
|
c1eca654fe3a0b10a3428e77c9e330d3
|
A354216
|
Highly composite numbers (A002182) whose number of divisors is not a multiple of 3.
|
[
"1",
"2",
"6",
"24",
"48",
"120",
"240",
"840",
"1680",
"7560",
"15120",
"45360",
"83160",
"166320",
"498960",
"665280",
"1081080",
"2162160",
"6486480",
"8648640",
"17297280",
"36756720",
"110270160",
"147026880",
"294053760",
"698377680",
"2095133040",
"2793510720",
"5587021440",
"64250746560",
"128501493120",
"1606268664000"
] |
[
"nonn"
] | 16 | 1 | 2 |
[
"A002182",
"A002183",
"A354216"
] | null |
J. Lowell, May 19 2022
| 2022-06-02T10:45:44 |
oeisdata/seq/A354/A354216.seq
|
fc6f7c65cf53af035d61bf494093cc74
|
A354217
|
Primes p such that the squarefree kernel of the product of the composite numbers between p and the next prime after p (A076978) sets a new record.
|
[
"3",
"5",
"7",
"13",
"19",
"23",
"31",
"47",
"53",
"73",
"83",
"89",
"113",
"199",
"211",
"293",
"467",
"523",
"887",
"1129",
"1327",
"2971",
"3271",
"4297",
"4831",
"5591",
"8467",
"9551",
"12853",
"14107",
"15683",
"19609",
"25471",
"31397",
"89689",
"107377",
"134513",
"155921",
"265621",
"338033",
"360653",
"370261",
"492113",
"1098847",
"1349533"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A007947",
"A076978",
"A354217",
"A354218"
] | null |
Hugo Pfoertner, May 19 2022
| 2022-05-20T09:26:34 |
oeisdata/seq/A354/A354217.seq
|
04fd740499d1c24bd28c0e0fca5ffd35
|
A354218
|
Records in A076978, divided by 2.
|
[
"1",
"3",
"15",
"105",
"1155",
"1365",
"19635",
"23205",
"636405",
"10555545",
"24484845",
"869107785",
"14797252681546335",
"92442344345566215",
"40334203530676690635",
"1451417351374223318085",
"6087255082617244520985",
"469256253416014832182075245585",
"1519012498286389398934397206158552189345"
] |
[
"nonn"
] | 36 | 1 | 2 |
[
"A007947",
"A076978",
"A354217",
"A354218"
] | null |
Hugo Pfoertner, May 19 2022
| 2022-06-14T08:51:05 |
oeisdata/seq/A354/A354218.seq
|
645bdcfe372ab19a3ecf1133783b39ca
|
A354219
|
Primes p such that the number of distinct prime factors omega of the product of the composite numbers between p and the next prime after p sets a new record.
|
[
"3",
"5",
"7",
"13",
"19",
"31",
"53",
"73",
"89",
"113",
"211",
"293",
"523",
"887",
"1129",
"1327",
"4297",
"4831",
"5351",
"5591",
"8467",
"12853",
"15683",
"19609",
"25471",
"31397",
"134513",
"155921",
"338033",
"360653",
"370261",
"492113",
"1349533",
"1357201",
"1561919",
"2010733",
"4652353",
"8421251",
"11113933",
"15203977",
"17051707"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A001221",
"A076978",
"A354217",
"A354219",
"A354220"
] | null |
Hugo Pfoertner, May 20 2022
| 2025-06-20T20:22:23 |
oeisdata/seq/A354/A354219.seq
|
ebb804ce17fbc345b1e853eb99a25e3a
|
A354220
|
a(n) is the record setting number of distinct prime factors in the product of the composite numbers between p = A354219(n) and the next prime after p.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"14",
"15",
"16",
"20",
"25",
"27",
"37",
"38",
"39",
"40",
"41",
"45",
"49",
"56",
"64",
"66",
"89",
"90",
"114",
"120",
"131",
"145",
"154",
"164",
"174",
"187",
"207",
"217",
"218",
"222",
"225",
"266",
"302",
"328",
"329",
"330",
"351",
"364",
"369",
"377",
"381",
"437",
"447",
"449",
"454",
"461",
"468",
"497",
"530",
"535",
"548",
"551"
] |
[
"nonn"
] | 10 | 1 | 2 |
[
"A001221",
"A076978",
"A354219",
"A354220"
] | null |
Hugo Pfoertner, May 20 2022
| 2022-05-21T14:07:51 |
oeisdata/seq/A354/A354220.seq
|
4fb5f5dec0e1c60ff546a03536674486
|
A354221
|
a(n) is the numerator of the sum of reciprocals of the 2*n+1 consecutive primes starting with A353534(n).
|
[
"31",
"2927",
"24749279",
"52404847006669763041",
"264723826652711",
"25709009860910962769666716861",
"31275582984007762166936591",
"9357116090687897728867556889841",
"13585328068403621603022853",
"4395564666287059721647967305937566473834609232641255659809",
"15360643606799479140185671512081451"
] |
[
"nonn"
] | 18 | 1 | 1 |
[
"A353534",
"A354221"
] | null |
J. M. Bergot and Robert Israel, May 29 2022
| 2022-05-31T06:49:07 |
oeisdata/seq/A354/A354221.seq
|
e96b0f61abfa5750b84aebbe0f47bfa8
|
A354222
|
Decimal expansion of 2 / (Pi+2).
|
[
"3",
"8",
"8",
"9",
"8",
"4",
"5",
"2",
"9",
"6",
"4",
"8",
"3",
"4",
"2",
"7",
"1",
"0",
"6",
"1",
"9",
"4",
"0",
"4",
"6",
"1",
"2",
"0",
"4",
"6",
"0",
"3",
"1",
"1",
"3",
"8",
"2",
"6",
"2",
"5",
"7",
"7",
"3",
"6",
"7",
"0",
"4",
"3",
"9",
"0",
"7",
"2",
"0",
"4",
"7",
"9",
"1",
"0",
"8",
"3",
"2",
"2",
"4",
"9",
"5",
"7",
"5",
"3",
"5",
"1",
"6",
"6",
"0",
"6",
"3",
"6",
"8",
"4",
"1",
"6",
"1",
"3",
"4",
"2",
"6",
"2",
"8",
"6",
"1",
"6",
"5",
"4",
"3",
"3",
"2",
"5",
"6",
"9",
"4",
"0"
] |
[
"nonn",
"cons"
] | 18 | 0 | 1 |
[
"A060294",
"A197686",
"A354222"
] | null |
Bernard Schott, May 19 2022
| 2022-05-26T13:16:35 |
oeisdata/seq/A354/A354222.seq
|
a501eaccdde69285027cb3385b69e195
|
A354223
|
The initial sequence of the positive integers gradually becomes interspersed with the copies of its terms and so is transformed into this sequence. The method is described in the Comments section.
|
[
"1",
"2",
"3",
"1",
"3",
"4",
"2",
"1",
"2",
"4",
"1",
"4",
"5",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"5",
"2",
"1",
"2",
"5",
"1",
"5",
"6",
"4",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"4",
"2",
"1",
"2",
"4",
"1",
"4",
"6",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"6",
"2",
"1",
"2",
"6",
"1",
"6",
"7",
"5",
"4",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"4",
"2",
"1",
"2",
"4",
"1",
"4",
"5",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"5",
"2",
"1",
"2",
"5",
"1",
"5",
"7",
"4",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"4",
"2",
"1",
"2",
"4",
"1",
"4",
"7",
"3",
"2",
"1",
"2",
"3",
"1",
"3",
"7",
"2",
"1",
"2",
"7",
"1",
"7"
] |
[
"nonn"
] | 42 | 1 | 2 |
[
"A000027",
"A089309",
"A090739",
"A120738",
"A132045",
"A195986",
"A354223"
] | null |
Tamas Sandor Nagy, May 19 2022
| 2022-07-18T10:00:38 |
oeisdata/seq/A354/A354223.seq
|
952e72e0ea47aac5cd0a2c764b656327
|
A354224
|
Lexicographically earliest sequence of distinct positive integers such that a(1) = 1 and for any n > 1, the greatest common divisor of n and a(n) is a prime number.
|
[
"1",
"2",
"3",
"6",
"5",
"4",
"7",
"10",
"12",
"8",
"11",
"9",
"13",
"16",
"18",
"14",
"17",
"15",
"19",
"22",
"24",
"20",
"23",
"21",
"30",
"28",
"33",
"26",
"29",
"25",
"31",
"34",
"27",
"32",
"40",
"38",
"37",
"36",
"42",
"35",
"41",
"39",
"43",
"46",
"48",
"44",
"47",
"45",
"56",
"52",
"54",
"50",
"53",
"51",
"60",
"49",
"63",
"62",
"59",
"55",
"61",
"58",
"57",
"66",
"70",
"64",
"67"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A238758",
"A354224"
] | null |
Rémy Sigrist, May 20 2022
| 2022-06-07T11:12:22 |
oeisdata/seq/A354/A354224.seq
|
184942958222edcddf6161b208fbb37c
|
A354225
|
Lexicographically earliest sequence of distinct positive integers such that a(1) = 1 and for any n > 1, n / gcd(n, a(n)) and a(n) / gcd(n, a(n)) are prime.
|
[
"1",
"3",
"2",
"6",
"7",
"4",
"5",
"12",
"15",
"14",
"13",
"8",
"11",
"10",
"9",
"24",
"19",
"27",
"17",
"28",
"33",
"26",
"29",
"16",
"35",
"22",
"18",
"20",
"23",
"42",
"37",
"48",
"21",
"38",
"25",
"54",
"31",
"34",
"51",
"56",
"43",
"30",
"41",
"52",
"63",
"58",
"53",
"32",
"77",
"70",
"39",
"44",
"47",
"36",
"65",
"40",
"69",
"46",
"61",
"84",
"59",
"74",
"45",
"96",
"55",
"78",
"71"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A122280",
"A354225"
] | null |
Rémy Sigrist, May 20 2022
| 2022-05-22T14:05:46 |
oeisdata/seq/A354/A354225.seq
|
4eac681de93ee96e54cf68297dc1a6b2
|
A354226
|
a(n) is the number of distinct prime factors of (p^p - 1)/(p - 1) where p = prime(n).
|
[
"1",
"1",
"2",
"2",
"2",
"3",
"3",
"1",
"4",
"7",
"1",
"7",
"5",
"3",
"3",
"5",
"3",
"4",
"6",
"4",
"10",
"5",
"4",
"6",
"6",
"9",
"5",
"4",
"5",
"8",
"6",
"4",
"11"
] |
[
"nonn",
"more"
] | 71 | 1 | 3 |
[
"A000040",
"A001039",
"A001221",
"A088790",
"A125135",
"A212552",
"A214812",
"A354226"
] | null |
Luis H. Gallardo, May 20 2022
| 2023-01-23T14:23:42 |
oeisdata/seq/A354/A354226.seq
|
49a7d8ca3e1bd24f8a8a6dbcf6f67e62
|
A354227
|
Odd numbers whose Collatz trajectory contains exactly 12 odd numbers.
|
[
"39",
"79",
"153",
"157",
"305",
"307",
"315",
"317",
"611",
"613",
"629",
"631",
"647",
"683",
"687",
"1221",
"1229",
"1241",
"1257",
"1261",
"1265",
"1269",
"1295",
"1353",
"1367",
"1369",
"1375",
"1505",
"2445",
"2453",
"2481",
"2483",
"2489",
"2507",
"2515",
"2517",
"2521",
"2525",
"2531",
"2545",
"2589",
"2593",
"2633",
"2705",
"2707",
"2733"
] |
[
"nonn"
] | 21 | 1 | 1 |
[
"A005408",
"A072122",
"A354227"
] | null |
Krishna Kumar Arumugam, May 20 2022
| 2022-07-18T19:07:25 |
oeisdata/seq/A354/A354227.seq
|
a9032c62b827f66995432e87d58bbce5
|
A354228
|
Number of partitions of the multigraph G_n (defined below) into "strokes".
|
[
"1",
"6",
"58",
"578",
"5766",
"57810",
"580310",
"5829538",
"58575686",
"588641522",
"5915670070",
"59451845314",
"597489270438",
"6004768803090",
"60348023150742",
"606498938168290",
"6095328830488582",
"61258206225329970",
"615646518692614390",
"6187263150038580994"
] |
[
"nonn"
] | 26 | 1 | 2 |
[
"A131518",
"A131519",
"A131520",
"A354228"
] | null |
Yasutoshi Kohmoto and Max Alekseyev, Jul 18 2022
| 2024-10-31T13:32:20 |
oeisdata/seq/A354/A354228.seq
|
9a8ba0ddfe45d2bcfdfd6b3308f07d85
|
A354229
|
Expansion of e.g.f. 1/(1 - log(1 + x)^3).
|
[
"1",
"0",
"0",
"6",
"-36",
"210",
"-630",
"-5376",
"153048",
"-2194296",
"22190760",
"-93956544",
"-2677330656",
"97821857952",
"-2019503487456",
"27899293618944",
"-98409183995520",
"-9548919666829440",
"410311098024923520",
"-10652005874894469120",
"176525303194482117120",
"-46197517147757867520"
] |
[
"sign"
] | 10 | 0 | 4 |
[
"A006252",
"A353118",
"A354134",
"A354229",
"A354230",
"A354231"
] | null |
Seiichi Manyama, May 20 2022
| 2022-05-20T08:50:25 |
oeisdata/seq/A354/A354229.seq
|
e2e9c9769770da3fb0319858c2f06bf2
|
A354230
|
Expansion of e.g.f. 1/(1 - log(1 + x)^5).
|
[
"1",
"0",
"0",
"0",
"0",
"120",
"-1800",
"21000",
"-235200",
"2693880",
"-28690200",
"210447600",
"1465952400",
"-123513355680",
"4155643171680",
"-114924516470400",
"2886135295680000",
"-66750668391381120",
"1375830884058456960",
"-22036006671394705920",
"70186623981895296000",
"16180846322732941893120"
] |
[
"sign"
] | 10 | 0 | 6 |
[
"A006252",
"A353200",
"A354135",
"A354229",
"A354230",
"A354232"
] | null |
Seiichi Manyama, May 20 2022
| 2024-09-20T17:14:06 |
oeisdata/seq/A354/A354230.seq
|
de4ee3c887453cb09507467e3dd24dff
|
A354231
|
Expansion of e.g.f. exp(log(1 + x)^3).
|
[
"1",
"0",
"0",
"6",
"-36",
"210",
"-990",
"2184",
"37128",
"-863736",
"13020480",
"-168384744",
"1940801544",
"-18825129648",
"107706637584",
"1386022834944",
"-73429347222720",
"2034345021802560",
"-46869707752067520",
"976421492688165120",
"-18675350766042871680",
"319467427583225518080"
] |
[
"sign"
] | 16 | 0 | 4 |
[
"A009199",
"A353344",
"A354136",
"A354229",
"A354231",
"A354232"
] | null |
Seiichi Manyama, May 20 2022
| 2023-02-24T11:17:57 |
oeisdata/seq/A354/A354231.seq
|
27ebaa43c93afb2cc0418038cfd6437f
|
A354232
|
Expansion of e.g.f. exp(log(1 + x)^5).
|
[
"1",
"0",
"0",
"0",
"0",
"120",
"-1800",
"21000",
"-235200",
"2693880",
"-30504600",
"310239600",
"-2026767600",
"-22324267680",
"1480359360480",
"-48314853350400",
"1332965821824000",
"-34178451017685120",
"837433109548661760",
"-19671723873906894720",
"436228097513559408000"
] |
[
"sign"
] | 9 | 0 | 6 |
[
"A009199",
"A354137",
"A354230",
"A354231",
"A354232"
] | null |
Seiichi Manyama, May 20 2022
| 2022-05-20T08:50:39 |
oeisdata/seq/A354/A354232.seq
|
142bc8543d460f4093c6a3e54872dcd3
|
A354233
|
Least number with n runs in ordered prime signature.
|
[
"1",
"2",
"12",
"90",
"2100",
"48510",
"3303300",
"139369230",
"18138420300",
"1157182716690",
"278261505822300",
"30168910606824990",
"9894144362523521100",
"1693350783450479863710",
"715178436956287675671300",
"147157263134197051595990130",
"83730945863531292204568790100"
] |
[
"nonn"
] | 6 | 0 | 2 |
[
"A001221",
"A001222",
"A005361",
"A005811",
"A056239",
"A085629",
"A097318",
"A098859",
"A112798",
"A118914",
"A124010",
"A130091",
"A181819",
"A181821",
"A182850",
"A225485",
"A296150",
"A304678",
"A323014",
"A325280",
"A325755",
"A353500",
"A353507",
"A353742",
"A353745",
"A354233"
] | null |
Gus Wiseman, May 20 2022
| 2022-05-21T19:40:16 |
oeisdata/seq/A354/A354233.seq
|
241694496c09d0d818741cb36445b059
|
A354234
|
Triangle read by rows where T(n,k) is the number of integer partitions of n with at least one part divisible by k.
|
[
"1",
"2",
"1",
"3",
"1",
"1",
"5",
"3",
"1",
"1",
"7",
"4",
"2",
"1",
"1",
"11",
"7",
"4",
"2",
"1",
"1",
"15",
"10",
"6",
"3",
"2",
"1",
"1",
"22",
"16",
"9",
"6",
"3",
"2",
"1",
"1",
"30",
"22",
"14",
"8",
"5",
"3",
"2",
"1",
"1",
"42",
"32",
"20",
"13",
"8",
"5",
"3",
"2",
"1",
"1",
"56",
"44",
"29",
"18",
"12",
"7",
"5",
"3",
"2",
"1",
"1",
"77",
"62",
"41",
"27",
"17",
"12",
"7",
"5",
"3",
"2",
"1",
"1"
] |
[
"nonn",
"tabl"
] | 13 | 1 | 2 |
[
"A000009",
"A000041",
"A002033",
"A006918",
"A013929",
"A046099",
"A047966",
"A047967",
"A061199",
"A064410",
"A091602",
"A117485",
"A238394",
"A238395",
"A295341",
"A295342",
"A324929",
"A325534",
"A354234",
"A354235"
] | null |
Gus Wiseman, May 22 2022
| 2023-01-19T22:36:27 |
oeisdata/seq/A354/A354234.seq
|
1ea8b6102a625cfde29a430e46ee920d
|
A354235
|
Heinz numbers of integer partitions with at least one part divisible by 3.
|
[
"5",
"10",
"13",
"15",
"20",
"23",
"25",
"26",
"30",
"35",
"37",
"39",
"40",
"45",
"46",
"47",
"50",
"52",
"55",
"60",
"61",
"65",
"69",
"70",
"73",
"74",
"75",
"78",
"80",
"85",
"89",
"90",
"91",
"92",
"94",
"95",
"100",
"103",
"104",
"105",
"110",
"111",
"113",
"115",
"117",
"120",
"122",
"125",
"130",
"135",
"137",
"138",
"140",
"141",
"143",
"145",
"146",
"148",
"150"
] |
[
"nonn"
] | 10 | 1 | 1 |
[
"A000720",
"A000726",
"A001221",
"A001222",
"A003963",
"A004250",
"A004709",
"A008466",
"A008483",
"A013929",
"A018256",
"A036966",
"A046099",
"A046101",
"A047967",
"A056239",
"A062739",
"A064428",
"A100405",
"A112798",
"A117485",
"A118914",
"A124010",
"A181819",
"A295341",
"A295342",
"A296150",
"A324929",
"A335464",
"A339222",
"A353508",
"A354234",
"A354235"
] | null |
Gus Wiseman, May 23 2022
| 2022-09-05T22:38:23 |
oeisdata/seq/A354/A354235.seq
|
4e12b8233c2a90e63457997216a60c12
|
A354236
|
A(n,k) is the n-th number m such that the Collatz (or 3x+1) trajectory starting at m contains exactly k odd integers; square array A(n,k), n>=1, k>=1, read by antidiagonals.
|
[
"1",
"5",
"2",
"3",
"10",
"4",
"17",
"6",
"20",
"8",
"11",
"34",
"12",
"21",
"16",
"7",
"22",
"35",
"13",
"40",
"32",
"9",
"14",
"23",
"68",
"24",
"42",
"64",
"25",
"18",
"15",
"44",
"69",
"26",
"80",
"128",
"33",
"49",
"19",
"28",
"45",
"70",
"48",
"84",
"256",
"43",
"65",
"50",
"36",
"29",
"46",
"75",
"52",
"85",
"512",
"57",
"86",
"66",
"51",
"37",
"30",
"88",
"136",
"53",
"160",
"1024"
] |
[
"nonn",
"tabl"
] | 27 | 1 | 2 |
[
"A006577",
"A006667",
"A011782",
"A062052",
"A062053",
"A062054",
"A062055",
"A062056",
"A062057",
"A062058",
"A062059",
"A062060",
"A072122",
"A072466",
"A078719",
"A092893",
"A354236",
"A380244"
] | null |
Alois P. Heinz, May 20 2022
| 2025-01-17T16:39:20 |
oeisdata/seq/A354/A354236.seq
|
25ba23ba124bb58e35bab8534c9e8684
|
A354237
|
Expansion of e.g.f. 1 / (1 - log(1 + 2*x) / 2).
|
[
"1",
"1",
"0",
"2",
"-8",
"64",
"-592",
"6768",
"-90624",
"1395840",
"-24292608",
"471453696",
"-10094066688",
"236340378624",
"-6007053852672",
"164713554069504",
"-4846361933021184",
"152300800682754048",
"-5091189648734748672",
"180386551596145508352",
"-6752521487083688165376"
] |
[
"sign"
] | 24 | 0 | 4 |
[
"A006252",
"A088500",
"A088501",
"A122704",
"A155585",
"A227917",
"A354237",
"A354750",
"A354751"
] | null |
Ilya Gutkovskiy, Jun 06 2022
| 2022-06-06T08:07:42 |
oeisdata/seq/A354/A354237.seq
|
8cc66f43266e2a7fe6effb4d5ed15753
|
A354238
|
Decimal expansion of 1 - Pi^2/12.
|
[
"1",
"7",
"7",
"5",
"3",
"2",
"9",
"6",
"6",
"5",
"7",
"5",
"8",
"8",
"6",
"7",
"8",
"1",
"7",
"6",
"3",
"7",
"9",
"2",
"4",
"1",
"6",
"6",
"7",
"6",
"9",
"8",
"7",
"4",
"0",
"5",
"3",
"9",
"0",
"5",
"2",
"5",
"0",
"4",
"9",
"3",
"9",
"6",
"6",
"0",
"0",
"7",
"8",
"1",
"1",
"3",
"2",
"2",
"2",
"0",
"8",
"8",
"5",
"3",
"1",
"4",
"9",
"9",
"6",
"2",
"6",
"4",
"7",
"9",
"8",
"3",
"9",
"9",
"5",
"6",
"3",
"0",
"8",
"3",
"1",
"8",
"5",
"5",
"4",
"9",
"6",
"9",
"0",
"1",
"2",
"0",
"6",
"4",
"7",
"3",
"4",
"7",
"9",
"9",
"7"
] |
[
"nonn",
"cons",
"easy"
] | 42 | 0 | 2 |
[
"A000290",
"A004125",
"A013661",
"A024916",
"A072691",
"A152416",
"A237593",
"A245092",
"A353908",
"A354238"
] | null |
Omar E. Pol, May 20 2022
| 2024-05-22T12:56:38 |
oeisdata/seq/A354/A354238.seq
|
1917f8835f65b26d01cec13dc42fd484
|
A354239
|
Expansion of e.g.f. (2 - exp(x))^(x/2).
|
[
"1",
"0",
"-1",
"-3",
"-9",
"-35",
"-195",
"-1477",
"-13839",
"-151335",
"-1877745",
"-26022491",
"-398318481",
"-6674043961",
"-121496905803",
"-2387748622365",
"-50382638237343",
"-1136006690370371",
"-27257495551671753",
"-693436310776781083",
"-18643640290958926785",
"-528196548501606911913"
] |
[
"sign"
] | 73 | 0 | 4 |
[
"A052862",
"A354239",
"A354412"
] | null |
Seiichi Manyama, May 26 2022
| 2022-06-08T09:45:49 |
oeisdata/seq/A354/A354239.seq
|
e1ff2e7ff7fa728a57458a5befe268ff
|
A354240
|
Expansion of e.g.f. 1/sqrt(1 - 4 * log(1+x)).
|
[
"1",
"2",
"10",
"88",
"1080",
"17088",
"330528",
"7558752",
"199487136",
"5967529152",
"199533657792",
"7374470138880",
"298520508249600",
"13135454575464960",
"624240306760343040",
"31864146725023718400",
"1738698154646011499520",
"100996114388088994007040"
] |
[
"nonn"
] | 23 | 0 | 2 |
[
"A009199",
"A320343",
"A354240",
"A354241",
"A354242",
"A354243"
] | null |
Seiichi Manyama, May 20 2022
| 2025-07-04T18:57:04 |
oeisdata/seq/A354/A354240.seq
|
ee639566bddd836b650e70b6c210844f
|
A354241
|
Expansion of e.g.f. 1/sqrt(1 + 4 * log(1-x)).
|
[
"1",
"2",
"14",
"160",
"2544",
"51888",
"1292208",
"38012448",
"1289847456",
"49593778368",
"2130914229312",
"101188640375040",
"5262325852773120",
"297450338175682560",
"18157597034693207040",
"1190483599149657584640",
"83433723762978141189120",
"6224485980052510972692480"
] |
[
"nonn"
] | 19 | 0 | 2 |
[
"A354240",
"A354241",
"A354242",
"A354244"
] | null |
Seiichi Manyama, May 20 2022
| 2023-09-10T08:39:29 |
oeisdata/seq/A354/A354241.seq
|
8a7e859b24824fea568bc8ff8380c3df
|
A354242
|
Expansion of e.g.f. 1/sqrt(5 - 4 * exp(x)).
|
[
"1",
"2",
"14",
"158",
"2486",
"50222",
"1239254",
"36126638",
"1214933846",
"46299580142",
"1971815255894",
"92809525295918",
"4784166929982806",
"268050260650705262",
"16219498558371118934",
"1054102762745609325998",
"73229184033780135425366",
"5415407651703010175897582"
] |
[
"nonn"
] | 37 | 0 | 2 |
[
"A000670",
"A001813",
"A094417",
"A305404",
"A316747",
"A354240",
"A354241",
"A354242",
"A354252",
"A354253"
] | null |
Seiichi Manyama, May 20 2022
| 2023-11-16T11:50:46 |
oeisdata/seq/A354/A354242.seq
|
8a3f09bc2d653957443a061eb907e3b2
|
A354243
|
Expansion of e.g.f. Sum_{k>=0} (2*k)! * log(1+x)^k / k!.
|
[
"1",
"2",
"22",
"652",
"36252",
"3249648",
"427841136",
"77725790784",
"18629187576192",
"5694658698037824",
"2162203542669622464",
"998275836346954738560",
"550745779092109449586560",
"357819370067278253918223360",
"270404811566689476740771496960"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A006252",
"A316747",
"A354240",
"A354243",
"A354244",
"A354250"
] | null |
Seiichi Manyama, May 20 2022
| 2022-05-21T08:30:47 |
oeisdata/seq/A354/A354243.seq
|
e6457807c25f2c3c4ec27e68bfe7f75b
|
A354244
|
Expansion of e.g.f. Sum_{k>=0} (2*k)! * (-log(1-x))^k / k!.
|
[
"1",
"2",
"26",
"796",
"44916",
"4058448",
"537029616",
"97903213056",
"23525415709632",
"7205450503530816",
"2740066802232081984",
"1266655419369548369280",
"699532666466320784246400",
"454880976674201215672273920",
"344008843780994236543882521600"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A007840",
"A316747",
"A354241",
"A354244",
"A354251"
] | null |
Seiichi Manyama, May 20 2022
| 2022-05-21T08:30:51 |
oeisdata/seq/A354/A354244.seq
|
7229c1b529fa62e8f3dcda443c1e6e33
|
A354245
|
E.g.f.: Integral exp(-x*tan(x)) / cos(x) dx.
|
[
"1",
"-1",
"-3",
"-5",
"441",
"25911",
"1384757",
"74436531",
"3175224945",
"-135369432209",
"-89771310955155",
"-25527579751884693",
"-6567045994040209879",
"-1678101422880410465625",
"-427686430807976068014939",
"-102728760825086263958009309",
"-18156608776369804213731821343",
"2585946334251026101959272934111"
] |
[
"sign"
] | 42 | 1 | 3 |
[
"A009244",
"A009264",
"A009273",
"A354020",
"A354245",
"A354246"
] | null |
Paul D. Hanna, May 20 2022
| 2022-05-25T02:21:28 |
oeisdata/seq/A354/A354245.seq
|
8992bec2a7577e25c8213c20c15625bb
|
A354246
|
Indices of coefficients of x^(2*k-1) in Integral exp(-x*tan(x))/cos(x) dx at which the signs of the coefficients change: list of k such that sign(A354245(k)) != sign(A354245(k-1)), starting with 1.
|
[
"1",
"2",
"5",
"10",
"18",
"29",
"42",
"57",
"75",
"95",
"118",
"143",
"171",
"201",
"234",
"269",
"307",
"347",
"390",
"435",
"482",
"532",
"585",
"639",
"697",
"757",
"819",
"884",
"951",
"1021",
"1093",
"1167",
"1245",
"1324",
"1406",
"1491",
"1578",
"1667",
"1759",
"1853",
"1950",
"2050",
"2151",
"2256",
"2362",
"2471",
"2583",
"2697",
"2814",
"2933",
"3054",
"3178",
"3305",
"3434",
"3565",
"3699",
"3835",
"3974",
"4115",
"4259",
"4405",
"4554",
"4705",
"4859"
] |
[
"nonn"
] | 40 | 1 | 2 |
[
"A354245",
"A354246",
"A354399",
"A354425"
] | null |
Paul D. Hanna, May 20 2022
| 2025-03-22T19:03:33 |
oeisdata/seq/A354/A354246.seq
|
0be9d455cde392561aababc06444a4aa
|
A354247
|
G.f. (1-x) * Sum_{n>=0} x^n * (1 + x^n)^n / (1 + x^(n+1))^(n+1).
|
[
"1",
"-1",
"3",
"-5",
"4",
"-2",
"9",
"-23",
"22",
"-8",
"12",
"-24",
"27",
"-67",
"128",
"-112",
"38",
"-2",
"50",
"-154",
"183",
"-219",
"464",
"-600",
"404",
"-272",
"262",
"-146",
"100",
"-408",
"993",
"-1459",
"1986",
"-2752",
"2654",
"-1374",
"590",
"-1334",
"2244",
"-1692",
"622",
"-1150",
"3797",
"-6495",
"8208",
"-12542",
"17574",
"-14666",
"6298",
"-1710",
"1322",
"-3470",
"9206",
"-14418",
"13250",
"-9726",
"14059"
] |
[
"sign"
] | 6 | 0 | 3 |
[
"A354124",
"A354247"
] | null |
Paul D. Hanna, May 23 2022
| 2022-06-10T11:38:43 |
oeisdata/seq/A354/A354247.seq
|
2ad7cff6a107f439335d2b3cfc6c3197
|
A354248
|
G.f. A(x) satisfies: 1 = Sum_{n=-oo..+oo} (-x)^(n^2) * A(x)^((n-1)^2).
|
[
"1",
"2",
"8",
"56",
"446",
"3892",
"35904",
"344560",
"3404596",
"34404674",
"353918256",
"3693791848",
"39016573992",
"416304888148",
"4480415851648",
"48580221470672",
"530179054137166",
"5819280845268420",
"64197617764575032",
"711435650735024792",
"7916252834038848088",
"88409756229441531072"
] |
[
"nonn"
] | 14 | 0 | 2 | null | null |
Paul D. Hanna, Jun 18 2022
| 2024-01-18T07:28:39 |
oeisdata/seq/A354/A354248.seq
|
73f5679d031ce86b71bc9346e36bdffb
|
A354249
|
Decimal expansion of 27*sqrt(3) / (2*Pi).
|
[
"7",
"4",
"4",
"2",
"9",
"4",
"0",
"0",
"8",
"8",
"1",
"9",
"4",
"1",
"9",
"2",
"6",
"6",
"8",
"4",
"0",
"2",
"9",
"0",
"7",
"7",
"2",
"7",
"2",
"2",
"5",
"0",
"8",
"7",
"4",
"5",
"8",
"8",
"6",
"4",
"7",
"1",
"7",
"4",
"8",
"4",
"9",
"4",
"9",
"6",
"4",
"8",
"8",
"1",
"2",
"7",
"9",
"1",
"4",
"4",
"1",
"2",
"7",
"3",
"9",
"2",
"8",
"9",
"0",
"9",
"0",
"9",
"6",
"8",
"3",
"5",
"1",
"4",
"2",
"2",
"3",
"0",
"3",
"4",
"5",
"1",
"3",
"0",
"3",
"8",
"9",
"1",
"1",
"2",
"8",
"0",
"7",
"0",
"0",
"4",
"3"
] |
[
"nonn",
"cons"
] | 23 | 1 | 1 |
[
"A010527",
"A132702",
"A132717",
"A354249"
] | null |
Bernard Schott, May 20 2022
| 2024-08-04T08:46:21 |
oeisdata/seq/A354/A354249.seq
|
35272e2c2c7c0df9a95c099306c53f14
|
A354250
|
Expansion of e.g.f. Sum_{k>=0} (3*k)! * log(1+x)^k / k!.
|
[
"1",
"6",
"714",
"360732",
"476832204",
"1302897016944",
"6382799223892560",
"50956720815425427360",
"619019914356960664044960",
"10866561174598537960652828160",
"264763399994627082733034386813440",
"8668743073576807048450006051943930880"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A006252",
"A316748",
"A354229",
"A354243",
"A354250",
"A354251"
] | null |
Seiichi Manyama, May 21 2022
| 2022-05-21T08:30:55 |
oeisdata/seq/A354/A354250.seq
|
366703242c5b5a0acd4e8302f49fdf2e
|
A354251
|
Expansion of e.g.f. Sum_{k>=0} (3*k)! * (-log(1-x))^k / k!.
|
[
"1",
"6",
"726",
"365052",
"481186836",
"1312477120944",
"6422029618230000",
"51225621215200895520",
"621881012244669445985760",
"10911233517605729917096273920",
"265743399210784245852461349120000",
"8697920910678436598411074217669652480"
] |
[
"nonn"
] | 9 | 0 | 2 |
[
"A007840",
"A316748",
"A353118",
"A354244",
"A354250",
"A354251"
] | null |
Seiichi Manyama, May 21 2022
| 2022-05-21T08:31:00 |
oeisdata/seq/A354/A354251.seq
|
e416e75f28a66f26aaf697f928a0da1c
|
A354252
|
Expansion of e.g.f. 1/sqrt(7 - 6 * exp(x)).
|
[
"1",
"3",
"30",
"489",
"11127",
"325218",
"11612595",
"489926559",
"23846152332",
"1315294430043",
"81078316924035",
"5523729981650004",
"412148874577007037",
"33425421047034028743",
"2927620572178735480350",
"275410244285003264624949",
"27695140477706524122414867"
] |
[
"nonn"
] | 23 | 0 | 2 |
[
"A011781",
"A094419",
"A305404",
"A346985",
"A354242",
"A354252",
"A354253",
"A365556",
"A365557"
] | null |
Seiichi Manyama, May 21 2022
| 2023-11-17T11:20:34 |
oeisdata/seq/A354/A354252.seq
|
af16524a8751572d4fc8625cfa8c93a8
|
A354253
|
Expansion of e.g.f. 1/sqrt(9 - 8 * exp(x)).
|
[
"1",
"4",
"52",
"1108",
"32980",
"1261204",
"58928212",
"3253363348",
"207225008980",
"14958174725524",
"1206698072485972",
"107589343503498388",
"10505997552329149780",
"1115087729794287434644",
"127819745001180490920532",
"15736779719362919373550228",
"2071062794354825889656471380"
] |
[
"nonn"
] | 30 | 0 | 2 |
[
"A144828",
"A238465",
"A305404",
"A354242",
"A354252",
"A354253"
] | null |
Seiichi Manyama, May 21 2022
| 2023-11-17T11:20:13 |
oeisdata/seq/A354/A354253.seq
|
d1d969fa8ed894db38c663581c60c8f6
|
A354254
|
a(n) is the least m >= 0 such that n = f^k(m) for some k >= 0 (where f^k denotes the k-th iterate of A092391).
|
[
"0",
"1",
"1",
"1",
"4",
"1",
"6",
"1",
"6",
"6",
"1",
"6",
"1",
"13",
"1",
"15",
"13",
"1",
"18",
"1",
"18",
"21",
"1",
"23",
"21",
"1",
"21",
"23",
"1",
"21",
"30",
"1",
"32",
"21",
"30",
"21",
"1",
"37",
"1",
"39",
"37",
"1",
"37",
"39",
"1",
"37",
"46",
"1",
"48",
"37",
"46",
"51",
"1",
"46",
"54",
"1",
"56",
"46",
"54",
"56",
"1",
"46",
"54",
"63",
"1",
"1",
"46",
"1",
"46",
"63",
"1",
"71",
"63"
] |
[
"nonn",
"base"
] | 5 | 0 | 5 |
[
"A010061",
"A010062",
"A092391",
"A179016",
"A354254"
] | null |
Rémy Sigrist, May 21 2022
| 2022-05-27T14:37:25 |
oeisdata/seq/A354/A354254.seq
|
d24e8744cd8411fbe1f1e6115b7149c4
|
A354255
|
Even numbers in A090252 in order of appearance.
|
[
"2",
"4",
"8",
"16",
"26",
"32",
"64",
"128",
"206",
"256",
"478",
"512",
"998",
"1024",
"2048",
"3134",
"4096",
"6514",
"8192",
"13942",
"16384",
"28894",
"32768",
"60518",
"65536",
"126634",
"131072",
"261398",
"262144"
] |
[
"nonn",
"more"
] | 47 | 1 | 1 |
[
"A083329",
"A090252",
"A247665",
"A248379",
"A353730",
"A354146",
"A354159",
"A354255"
] | null |
Michael S. Branicky, May 21 2022
| 2022-07-15T10:37:18 |
oeisdata/seq/A354/A354255.seq
|
476ecd2bb802c890b39abf5870149985
|
A354256
|
Squares that remain square when written backward, are not divisible by 10, and have an even number of digits.
|
[
"1089",
"9801",
"698896",
"10036224",
"42263001",
"637832238736",
"1021178969603881",
"1883069698711201",
"4099923883299904",
"6916103777337773016196"
] |
[
"nonn",
"base",
"more"
] | 20 | 1 | 1 |
[
"A027829",
"A033294",
"A354256"
] | null |
Jon E. Schoenfield, May 21 2022
| 2024-07-28T11:45:40 |
oeisdata/seq/A354/A354256.seq
|
ab3bc2a338ada622c298d8e6b36483d5
|
A354257
|
a(n) is the smallest k such that there exists a degree-k primitive Dirichlet characters modulo n, or -1 no such k exists.
|
[
"1",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"3",
"-1",
"2",
"2",
"2",
"-1",
"2",
"4",
"2",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"5",
"-1",
"9",
"2",
"2",
"-1",
"2",
"8",
"2",
"-1",
"2",
"6",
"2",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"6",
"-1",
"2",
"4",
"7",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"2",
"-1",
"3",
"16",
"2",
"-1",
"2",
"2",
"2",
"-1",
"2",
"6",
"2",
"-1",
"10",
"2",
"2",
"-1",
"2",
"4",
"27",
"-1",
"2",
"2",
"2",
"-1",
"2",
"2",
"2",
"-1"
] |
[
"sign"
] | 13 | 1 | 3 |
[
"A003657",
"A003658",
"A008683",
"A354058",
"A354061",
"A354257",
"A354258"
] | null |
Jianing Song, May 21 2022
| 2022-05-22T00:02:08 |
oeisdata/seq/A354/A354257.seq
|
737314db42c5a453c9fd8e17114fdc91
|
A354258
|
Earliest occurrence of n in A354257.
|
[
"1",
"3",
"9",
"16",
"25",
"36",
"49",
"32",
"27",
"75",
"121",
"144",
"169",
"147",
"225",
"64",
"289",
"108",
"361",
"400",
"441",
"363",
"529",
"288",
"125",
"507",
"81",
"784",
"841",
"900",
"961",
"128",
"1089",
"867",
"1225",
"432",
"1369",
"1083",
"1521",
"800",
"1681",
"1764",
"1849",
"1936",
"675",
"1587",
"2209",
"576",
"343",
"375",
"2601",
"2704"
] |
[
"nonn",
"easy"
] | 9 | 1 | 2 |
[
"A007947",
"A354257",
"A354258",
"A354270"
] | null |
Jianing Song, May 21 2022
| 2022-05-22T00:02:14 |
oeisdata/seq/A354/A354258.seq
|
bd94a229f940d8efd3713505c8588baa
|
A354259
|
Expansion of e.g.f. 1/sqrt(1 - 6 * log(1+x)).
|
[
"1",
"3",
"24",
"330",
"6354",
"157482",
"4772268",
"170950392",
"7066790676",
"331108863372",
"17340063707952",
"1003726452207960",
"63635982830437320",
"4385439331442232840",
"326404115258791793040",
"26093904013675118381760",
"2229931839713559043435920"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A320343",
"A354240",
"A354252",
"A354259",
"A354260",
"A354261"
] | null |
Seiichi Manyama, May 21 2022
| 2023-10-06T16:44:50 |
oeisdata/seq/A354/A354259.seq
|
cd324f6c618d8829202fedc5780a83b5
|
A354260
|
Expansion of e.g.f. 1/sqrt(1 - 8 * log(1+x)).
|
[
"1",
"4",
"44",
"824",
"21624",
"730176",
"30144192",
"1470979968",
"82833047424",
"5286741547008",
"377135779749888",
"29736359948175360",
"2568013599548037120",
"241061197802997288960",
"24439230397588083240960",
"2661258811775918180474880",
"309780832909692738794987520"
] |
[
"nonn"
] | 11 | 0 | 2 |
[
"A320343",
"A354240",
"A354253",
"A354259",
"A354260",
"A354262"
] | null |
Seiichi Manyama, May 21 2022
| 2022-06-04T04:20:58 |
oeisdata/seq/A354/A354260.seq
|
814c2230d8b3770c5151b8420caac3ff
|
A354261
|
Expansion of e.g.f. 1/sqrt(1 + 6 * log(1-x)).
|
[
"1",
"3",
"30",
"492",
"11250",
"330282",
"11844288",
"501822108",
"24527880756",
"1358556883308",
"84094256900232",
"5753027212816320",
"431039748845205000",
"35102411472973316040",
"3087236653107610062240",
"291627772873980244894800",
"29447260745861893561906320"
] |
[
"nonn"
] | 10 | 0 | 2 |
[
"A346978",
"A354241",
"A354252",
"A354259",
"A354261",
"A354262"
] | null |
Seiichi Manyama, May 21 2022
| 2022-06-04T04:22:49 |
oeisdata/seq/A354/A354261.seq
|
acd9912408bb45557e513d4d085220df
|
A354262
|
Expansion of e.g.f. 1/sqrt(1 + 8 * log(1-x)).
|
[
"1",
"4",
"52",
"1112",
"33192",
"1272576",
"59607552",
"3298935552",
"210638509824",
"15241340093952",
"1232504690492928",
"110154484622208000",
"10782300230031713280",
"1147157496053856645120",
"131810751499551281786880",
"16266976762439018716323840",
"2145960434809665656603320320"
] |
[
"nonn"
] | 12 | 0 | 2 |
[
"A346978",
"A354241",
"A354253",
"A354260",
"A354261",
"A354262"
] | null |
Seiichi Manyama, May 21 2022
| 2024-12-14T12:29:36 |
oeisdata/seq/A354/A354262.seq
|
5ae6195757bc172f4768425d0e17e5d9
|
A354263
|
Expansion of e.g.f. 1/(1 + 3 * log(1-x)).
|
[
"1",
"3",
"21",
"222",
"3132",
"55242",
"1169262",
"28873800",
"814870584",
"25871762016",
"912684973968",
"35416732159872",
"1499286521185776",
"68757945743286576",
"3395829155786528976",
"179693346163010491008",
"10142543588881013369856",
"608262031900883147262336"
] |
[
"nonn"
] | 15 | 0 | 2 |
[
"A320079",
"A335531",
"A354263"
] | null |
Seiichi Manyama, May 21 2022
| 2022-06-04T02:37:29 |
oeisdata/seq/A354/A354263.seq
|
3e17a80d7e13af3318ef7665509ee136
|
A354264
|
Expansion of e.g.f. 1/(1 + 4 * log(1-x)).
|
[
"1",
"4",
"36",
"488",
"8824",
"199456",
"5410208",
"171209664",
"6192052800",
"251937937920",
"11389639660032",
"566394573855744",
"30726758349800448",
"1805828538127687680",
"114293350061315678208",
"7750480651439579529216",
"560615413313367534698496",
"43085423893717998388740096"
] |
[
"nonn"
] | 20 | 0 | 2 |
[
"A094417",
"A320079",
"A354147",
"A354241",
"A354264"
] | null |
Seiichi Manyama, May 21 2022
| 2023-03-15T15:02:44 |
oeisdata/seq/A354/A354264.seq
|
cb87999aceb1016af8154dd8ac55d271
|
A354265
|
Array read by ascending antidiagonals for n >= 0 and k >= 0. Generalized Lucas numbers, L(n, k) = (psi^(k - 1)*(phi + n) - phi^(k - 1)*(psi + n)), where phi = (1 + sqrt(5))/2 and psi = (1 - sqrt(5))/2.
|
[
"2",
"3",
"1",
"4",
"4",
"3",
"5",
"7",
"7",
"4",
"6",
"10",
"11",
"11",
"7",
"7",
"13",
"15",
"18",
"18",
"11",
"8",
"16",
"19",
"25",
"29",
"29",
"18",
"9",
"19",
"23",
"32",
"40",
"47",
"47",
"29",
"10",
"22",
"27",
"39",
"51",
"65",
"76",
"76",
"47",
"11",
"25",
"31",
"46",
"62",
"83",
"105",
"123",
"123",
"76",
"12",
"28",
"35",
"53",
"73",
"101",
"134",
"170",
"199",
"199",
"123"
] |
[
"nonn",
"tabl"
] | 11 | 0 | 1 |
[
"A000032",
"A000204",
"A022088",
"A022388",
"A190995",
"A206420",
"A206609",
"A352744",
"A354265"
] | null |
Peter Luschny, May 29 2022
| 2022-11-22T09:40:39 |
oeisdata/seq/A354/A354265.seq
|
5d042955ba02d5dc113b17de54daac0c
|
A354266
|
Pairs of integers (s, t) such that 0 < s < t and gcd(s, t) > 1, where the pairs are generated by the boustrophedonic Cantor enumeration A319571.
|
[
"2",
"4",
"2",
"6",
"3",
"6",
"2",
"8",
"4",
"6",
"2",
"10",
"3",
"9",
"4",
"8",
"2",
"12",
"4",
"10",
"6",
"8",
"3",
"12",
"5",
"10",
"6",
"9",
"2",
"14",
"4",
"12",
"6",
"10",
"2",
"16",
"3",
"15",
"4",
"14",
"6",
"12",
"8",
"10",
"2",
"18",
"4",
"16",
"5",
"15",
"6",
"14",
"8",
"12",
"3",
"18",
"6",
"15",
"7",
"14",
"9",
"12",
"2",
"20",
"4",
"18",
"6",
"16",
"8",
"14",
"10",
"12",
"2",
"22",
"3",
"21"
] |
[
"nonn"
] | 7 | 1 | 1 |
[
"A319571",
"A354266"
] | null |
Peter Luschny, May 21 2022
| 2022-05-22T05:33:46 |
oeisdata/seq/A354/A354266.seq
|
6d7671b515ee29b6ada3b5859656ecd4
|
A354267
|
A Fibonacci-Pascal triangle read by rows: T(n, n) = 1, T(n, n-1) = n - 1, T(n, 0) = T(n-1, 1) and T(n, k) = T(n-1, k-1) + T(n-1, k) for 0 < k < n-1.
|
[
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"1",
"2",
"3",
"4",
"3",
"1",
"3",
"5",
"7",
"7",
"4",
"1",
"5",
"8",
"12",
"14",
"11",
"5",
"1",
"8",
"13",
"20",
"26",
"25",
"16",
"6",
"1",
"13",
"21",
"33",
"46",
"51",
"41",
"22",
"7",
"1",
"21",
"34",
"54",
"79",
"97",
"92",
"63",
"29",
"8",
"1",
"34",
"55",
"88",
"133",
"176",
"189",
"155",
"92",
"37",
"9",
"1",
"55",
"89",
"143",
"221",
"309",
"365",
"344",
"247",
"129",
"46",
"10",
"1"
] |
[
"nonn",
"tabl"
] | 16 | 0 | 8 |
[
"A000045",
"A099036",
"A212804",
"A228074",
"A352744",
"A354267",
"A371870"
] | null |
Peter Luschny, May 31 2022
| 2024-04-25T12:27:26 |
oeisdata/seq/A354/A354267.seq
|
67758e28e98e416e7a0bf28cd4de5161
|
A354268
|
Table read by rows. T(n, k) = (n + k)^(n - 1) for n >= 1 and 0 <= k <= n, T(0, 0) = 0.
|
[
"0",
"1",
"1",
"2",
"3",
"4",
"9",
"16",
"25",
"36",
"64",
"125",
"216",
"343",
"512",
"625",
"1296",
"2401",
"4096",
"6561",
"10000",
"7776",
"16807",
"32768",
"59049",
"100000",
"161051",
"248832",
"117649",
"262144",
"531441",
"1000000",
"1771561",
"2985984",
"4826809",
"7529536",
"2097152",
"4782969",
"10000000",
"19487171",
"35831808",
"62748517",
"105413504",
"170859375",
"268435456"
] |
[
"nonn",
"tabl"
] | 5 | 0 | 4 |
[
"A000169",
"A052746",
"A354268"
] | null |
Peter Luschny, Jun 12 2022
| 2022-06-15T01:47:06 |
oeisdata/seq/A354/A354268.seq
|
6f7ea425c33d02c4b1aeba43fc365ae4
|
A354269
|
Numbers b such that b^(11-1) == 1 (mod 11^2) and b^(1006003-1) == 1 (mod 1006003^2), i.e., common Wieferich bases of 11 and 1006003.
|
[
"1",
"3",
"9",
"27",
"81",
"243",
"729",
"2187",
"6561",
"19683",
"59049",
"177147",
"531441",
"1594323",
"4782969",
"14348907",
"31098449",
"34970654",
"35236643",
"43046721",
"58883189",
"73220005",
"93295347",
"102199060",
"104911962",
"105709929",
"112028791",
"112870007",
"115196746",
"117560414",
"129140163",
"144185176"
] |
[
"nonn"
] | 23 | 1 | 2 |
[
"A000244",
"A014127",
"A247208",
"A354269"
] | null |
Felix Fröhlich, May 25 2022
| 2022-05-30T01:47:42 |
oeisdata/seq/A354/A354269.seq
|
2e0bc2f976f8e042f4314f4f2ee2009d
|
A354270
|
Numbers k such that min{m: A354257(m) = k} = k^2.
|
[
"1",
"3",
"4",
"5",
"6",
"7",
"11",
"12",
"13",
"15",
"17",
"19",
"20",
"21",
"23",
"28",
"29",
"30",
"31",
"33",
"35",
"37",
"39",
"41",
"42",
"43",
"44",
"47",
"51",
"52",
"53",
"55",
"57",
"59",
"60",
"61",
"65",
"66",
"67",
"68",
"69",
"71",
"73",
"76",
"77",
"78",
"79",
"83",
"84",
"85",
"87",
"89",
"91",
"92",
"93",
"95",
"97",
"101",
"102",
"103",
"105",
"107",
"109",
"111",
"113"
] |
[
"nonn",
"easy"
] | 14 | 1 | 2 |
[
"A354257",
"A354258",
"A354270"
] | null |
Jianing Song, May 21 2022
| 2022-05-22T01:52:20 |
oeisdata/seq/A354/A354270.seq
|
d76a0b2f34ede9ab4a6c9fd56d4dd59d
|
A354271
|
Irregular array of the prime numbers read by rows.
|
[
"2",
"3",
"2",
"5",
"7",
"3",
"11",
"2",
"5",
"13",
"17",
"3",
"11",
"19",
"2",
"7",
"23",
"17",
"29",
"5",
"13",
"31",
"7",
"37",
"3",
"11",
"19",
"29",
"41",
"2",
"5",
"13",
"43",
"17",
"47",
"3",
"11",
"23",
"41",
"53",
"2",
"7",
"37",
"59",
"31",
"61",
"5",
"13",
"23",
"43",
"67",
"7",
"19",
"29",
"37",
"59",
"71",
"3",
"11",
"41",
"73",
"2",
"5",
"17",
"47",
"79",
"19",
"31",
"53",
"71",
"83",
"3",
"67"
] |
[
"nonn",
"tabf"
] | 50 | 1 | 1 |
[
"A000040",
"A037126",
"A256491",
"A354271"
] | null |
Tamas Sandor Nagy, May 22 2022
| 2022-05-25T13:00:12 |
oeisdata/seq/A354/A354271.seq
|
db0fec71d51b6bd5b5a23c0aa5467eca
|
A354272
|
Irregular triangle read by rows: coefficients of polynomials which are the product of all possible monic Littlewood polynomials of degree n.
|
[
"1",
"-1",
"0",
"1",
"1",
"0",
"-2",
"0",
"-1",
"0",
"-2",
"0",
"1",
"1",
"0",
"-4",
"0",
"2",
"0",
"-4",
"0",
"15",
"0",
"8",
"0",
"-36",
"0",
"8",
"0",
"15",
"0",
"-4",
"0",
"2",
"0",
"-4",
"0",
"1",
"1",
"0",
"-8",
"0",
"20",
"0",
"-24",
"0",
"58",
"0",
"-80",
"0",
"-92",
"0",
"120",
"0",
"147",
"0",
"384",
"0",
"-2108",
"0",
"880",
"0",
"3940",
"0",
"-3096",
"0",
"2288",
"0",
"-2136",
"0",
"-1803",
"0",
"-2136",
"0",
"2288",
"0",
"-3096",
"0",
"3940",
"0",
"880",
"0",
"-2108",
"0",
"384",
"0",
"147",
"0",
"120",
"0",
"-92",
"0",
"-80",
"0",
"58",
"0",
"-24",
"0",
"20",
"0",
"-8",
"0",
"1"
] |
[
"sign",
"tabf"
] | 23 | 0 | 7 |
[
"A002064",
"A020985",
"A354272"
] | null |
Gleb Ivanov, May 22 2022
| 2022-08-24T10:12:27 |
oeisdata/seq/A354/A354272.seq
|
b15ce783d9b8587ce25a4993842af67d
|
A354273
|
Square array read by ascending antidiagonals: A(n,k) = k^Omega(n).
|
[
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"3",
"1",
"1",
"4",
"3",
"4",
"1",
"1",
"2",
"9",
"4",
"5",
"1",
"1",
"4",
"3",
"16",
"5",
"6",
"1",
"1",
"2",
"9",
"4",
"25",
"6",
"7",
"1",
"1",
"8",
"3",
"16",
"5",
"36",
"7",
"8",
"1",
"1",
"4",
"27",
"4",
"25",
"6",
"49",
"8",
"9",
"1",
"1",
"4",
"9",
"64",
"5",
"36",
"7",
"64",
"9",
"10",
"1",
"1",
"2",
"9",
"16",
"125",
"6",
"49",
"8",
"81",
"10",
"11",
"1",
"1",
"8",
"3",
"16",
"25",
"216",
"7",
"64",
"9",
"100",
"11",
"12",
"1"
] |
[
"nonn",
"tabl",
"easy"
] | 18 | 1 | 5 |
[
"A000012",
"A001222",
"A051129",
"A061142",
"A165824",
"A165871",
"A176029",
"A354273"
] | null |
Stefano Spezia, May 22 2022
| 2022-07-02T14:49:01 |
oeisdata/seq/A354/A354273.seq
|
6497a95c6f320c4fa08a7309b8b97fea
|
A354274
|
Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + arcsinh(x).
|
[
"1",
"0",
"-1",
"4",
"-11",
"-4",
"-547",
"7680",
"-7751",
"81744",
"-3258663",
"-9474816",
"-390445563",
"233029824",
"-964154427",
"4193551958016",
"-18431412645519",
"71090090006784",
"-6436900596281679",
"17349989459410944",
"834261829219880829",
"-241960391975347200",
"-1149793471388581053219"
] |
[
"sign"
] | 7 | 1 | 4 |
[
"A001818",
"A067856",
"A353819",
"A353914",
"A353972",
"A354116",
"A354172",
"A354274",
"A354275",
"A354276"
] | null |
Ilya Gutkovskiy, May 22 2022
| 2022-05-23T09:12:52 |
oeisdata/seq/A354/A354274.seq
|
fbf4563cbc4f9f20742b0e20ec469819
|
A354275
|
Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + arctan(x).
|
[
"1",
"0",
"-2",
"8",
"-16",
"-64",
"-832",
"13824",
"8192",
"-36096",
"-4228608",
"-58438656",
"-398991360",
"-3452915712",
"44581613568",
"7144463302656",
"-17762113880064",
"126440605483008",
"-7331825098948608",
"-88237584523984896",
"3154526750647517184",
"-27279757707305287680",
"-1278044473427380666368"
] |
[
"sign"
] | 6 | 1 | 3 |
[
"A010050",
"A067856",
"A353820",
"A353915",
"A353972",
"A354117",
"A354175",
"A354274",
"A354275",
"A354276"
] | null |
Ilya Gutkovskiy, May 22 2022
| 2022-05-23T09:12:30 |
oeisdata/seq/A354/A354275.seq
|
907567bcc11ab0290a4bb9e2246124df
|
A354276
|
Product_{n>=1} (1 + x^n)^(a(n)/n!) = 1 + arctanh(x).
|
[
"1",
"0",
"2",
"-8",
"64",
"-304",
"3968",
"-43392",
"378880",
"-4002816",
"68247552",
"-995736576",
"15949529088",
"-238273241088",
"4760383438848",
"-113132156780544",
"2119956936523776",
"-42743492966350848",
"1123874181449515008",
"-28901050300546154496",
"722523072906903158784",
"-19401957422023594475520",
"589068777481530305937408"
] |
[
"sign"
] | 6 | 1 | 3 |
[
"A010050",
"A067856",
"A353821",
"A353928",
"A353972",
"A354118",
"A354176",
"A354274",
"A354275",
"A354276"
] | null |
Ilya Gutkovskiy, May 22 2022
| 2022-05-23T09:12:25 |
oeisdata/seq/A354/A354276.seq
|
748c85b771749ff7d7b19e8441383284
|
A354277
|
Product_{n>=1} 1 / (1 - x^n/n!)^a(n) = exp(-x) / (1 - x).
|
[
"0",
"1",
"2",
"3",
"24",
"70",
"720",
"4305",
"39200",
"337176",
"3628800",
"38417610",
"479001600",
"6128488080",
"87104969952",
"1297383162075",
"20922789888000",
"354250929192160",
"6402373705728000",
"121407227453840328",
"2432849766865689600",
"51041047393559059200",
"1124000727777607680000"
] |
[
"nonn"
] | 7 | 1 | 3 |
[
"A000166",
"A006973",
"A137852",
"A353822",
"A354277",
"A354278"
] | null |
Ilya Gutkovskiy, May 22 2022
| 2022-05-23T05:38:45 |
oeisdata/seq/A354/A354277.seq
|
b845567a91f3fe551d07408d96d0d862
|
A354278
|
Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = exp(-x) / (1 - x).
|
[
"0",
"1",
"2",
"3",
"24",
"50",
"720",
"4095",
"35840",
"267624",
"3628800",
"35724150",
"479001600",
"5240149200",
"82614884352",
"1188272460375",
"20922789888000",
"320893244672000",
"6402373705728000",
"113803149223980216",
"2379913632645120000",
"46396417566975840000",
"1124000727777607680000"
] |
[
"nonn"
] | 6 | 1 | 3 |
[
"A000166",
"A006973",
"A137852",
"A353822",
"A354277",
"A354278"
] | null |
Ilya Gutkovskiy, May 22 2022
| 2022-05-23T05:37:56 |
oeisdata/seq/A354/A354278.seq
|
dfdb037f3cd84cc9475b979311cc7f0a
|
A354279
|
Number of regular elements in the semigroup of all binary relations on [n].
|
[
"1",
"2",
"16",
"470",
"40408",
"8683982"
] |
[
"nonn",
"more"
] | 11 | 0 | 2 |
[
"A003425",
"A354279"
] | null |
Geoffrey Critzer, May 22 2022
| 2022-06-17T15:55:46 |
oeisdata/seq/A354/A354279.seq
|
ff4a216cb5455089487f761bdafcb442
|
A354280
|
a(n) is the numerator of Cesàro means sequence c(n) of A237420 when the denominator is A141310(n).
|
[
"0",
"0",
"2",
"1",
"6",
"2",
"12",
"3",
"20",
"4",
"30",
"5",
"42",
"6",
"56",
"7",
"72",
"8",
"90",
"9",
"110",
"10",
"132",
"11",
"156",
"12",
"182",
"13",
"210",
"14",
"240",
"15",
"272",
"16",
"306",
"17",
"342",
"18",
"380",
"19",
"420",
"20",
"462",
"21",
"506",
"22",
"552",
"23",
"600",
"24",
"650",
"25",
"702",
"26",
"756",
"27",
"812",
"28",
"870",
"29",
"930",
"30",
"992",
"31",
"1056",
"32",
"1122",
"33",
"1190"
] |
[
"nonn",
"easy"
] | 53 | 0 | 3 |
[
"A001477",
"A002378",
"A033999",
"A141310",
"A237420",
"A354280"
] | null |
Bernard Schott, May 22 2022
| 2023-09-18T14:05:07 |
oeisdata/seq/A354/A354280.seq
|
a3db79b6dd108deabfaecf95957d1fc7
|
A354281
|
Weird numbers k such that k-1 is the sum of a subset of the aliquot divisors of k.
|
[
"70",
"4030",
"5830",
"9272",
"17272",
"243892",
"351956",
"407132",
"1901728",
"2189024",
"4199030",
"11339816",
"11547352",
"12872512",
"13885970",
"24450010",
"31699430",
"32284330",
"34041370",
"34169630",
"34315712",
"38546576",
"42251930",
"50761810",
"67727110",
"67820390",
"68000392",
"72986296",
"85389368"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A005835",
"A006037",
"A354281",
"A354282",
"A354283"
] | null |
Amiram Eldar, May 22 2022
| 2022-05-24T06:14:38 |
oeisdata/seq/A354/A354281.seq
|
2456b6158ab715b5ffe0f079cd61bf2a
|
A354282
|
Weird numbers k such that k+1 is the sum of a subset of the aliquot divisors of k.
|
[
"70",
"836",
"4030",
"5830",
"7192",
"7912",
"10792",
"17272",
"45356",
"83312",
"91388",
"113072",
"222952",
"243892",
"254012",
"388076",
"410476",
"786208",
"1713592",
"4145216",
"4199030",
"4632896",
"6911512",
"7257530",
"7354304",
"7607530",
"9928792",
"10402490",
"10580624",
"11339816",
"11547352",
"12052390",
"13086016"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A005835",
"A006037",
"A258250",
"A329190",
"A354281",
"A354282",
"A354283"
] | null |
Amiram Eldar, May 22 2022
| 2022-05-24T06:14:35 |
oeisdata/seq/A354/A354282.seq
|
0fdc5a705a11bb668969e82559d3eec4
|
A354283
|
Weird numbers k such that k-1 and k+1 are both sums of subsets of the aliquot divisors of k.
|
[
"70",
"4030",
"5830",
"17272",
"243892",
"4199030",
"11339816",
"11547352",
"13885970",
"24450010",
"31699430",
"32284330",
"34041370",
"34169630",
"42251930",
"50761810",
"67727110",
"67820390",
"85389368",
"89283592",
"141659096",
"146764264",
"162079768",
"173482552",
"259858324",
"410832532",
"411643576",
"486224072"
] |
[
"nonn"
] | 8 | 1 | 1 |
[
"A005835",
"A006037",
"A354281",
"A354282",
"A354283"
] | null |
Amiram Eldar, May 22 2022
| 2022-05-24T06:14:32 |
oeisdata/seq/A354/A354283.seq
|
9f3a28a15bab1c2ae4e55ad06362395f
|
A354284
|
The first of four consecutive primes p1, p2, p3, p4 such that (p4-p3)*(p2-p1) = (p3-p2)^2.
|
[
"89",
"251",
"449",
"1061",
"1439",
"1741",
"1997",
"2237",
"2239",
"2267",
"2593",
"2657",
"2699",
"3301",
"3433",
"3449",
"5101",
"5189",
"5237",
"5381",
"6197",
"6311",
"6361",
"6599",
"6827",
"6829",
"6883",
"7433",
"8087",
"8171",
"8311",
"9067",
"10259",
"12149",
"12611",
"12641",
"13451",
"14741",
"15791",
"15901",
"16787",
"17027",
"17291",
"17387",
"17389",
"17471",
"18211"
] |
[
"nonn"
] | 12 | 1 | 1 | null | null |
J. M. Bergot and Robert Israel, May 22 2022
| 2022-05-31T08:09:03 |
oeisdata/seq/A354/A354284.seq
|
7c1ab5ad7440fc74150bc1afecfa25bc
|
A354285
|
Numbers k such that one of k, k+1, k+2 is prime and the other two are semiprimes, and one of R(n), R(n+1), R(n+2) is prime and the other two are semiprimes, where R = A004086.
|
[
"4",
"157",
"177",
"1381",
"1437",
"7417",
"9661",
"9901",
"12757",
"15297",
"15681",
"16921",
"35961",
"36901",
"39777",
"75741",
"77277",
"93097",
"94441",
"103317",
"108201",
"111261",
"117541",
"121377",
"127597",
"128461",
"128901",
"130197",
"134677",
"146841",
"147417",
"151377",
"156601",
"160077",
"165441",
"166861",
"169177",
"178537",
"185901",
"187881",
"306541"
] |
[
"nonn",
"base"
] | 49 | 1 | 1 |
[
"A004086",
"A354285"
] | null |
J. M. Bergot and Robert Israel, May 29 2022
| 2022-05-30T19:35:40 |
oeisdata/seq/A354/A354285.seq
|
8c0637d156662f1359d4ac9f1db98f57
|
A354286
|
Expansion of e.g.f. 1/(1 - x)^(2/(1 + 2 * log(1-x))).
|
[
"1",
"2",
"14",
"144",
"1936",
"32000",
"625952",
"14117152",
"360175584",
"10246079616",
"321313928448",
"11006050602624",
"408662128569984",
"16344011453662464",
"700254206319007488",
"31990601456727585792",
"1551985176120589820928",
"79669906174753878177792"
] |
[
"nonn"
] | 15 | 0 | 2 |
[
"A000262",
"A088500",
"A088815",
"A354286",
"A354287",
"A354288",
"A354290"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-23T09:14:29 |
oeisdata/seq/A354/A354286.seq
|
c152f899b16df4c785affbfe7677cb6f
|
A354287
|
Expansion of e.g.f. 1/(1 - x)^(3/(1 + 3 * log(1-x))).
|
[
"1",
"3",
"30",
"438",
"8334",
"194580",
"5368662",
"170591022",
"6126386724",
"245127214548",
"10804866210648",
"519910458588576",
"27105081897342816",
"1521393008601586536",
"91445577404393807928",
"5858664681621903625368",
"398467273528657973600208",
"28668189882264862351707504"
] |
[
"nonn"
] | 15 | 0 | 2 |
[
"A000262",
"A088815",
"A354263",
"A354286",
"A354287",
"A354289",
"A354291"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-23T09:24:22 |
oeisdata/seq/A354/A354287.seq
|
0d5b0c5002bcbc2af75cabd59eeffd98
|
A354288
|
Expansion of e.g.f. (1 + x)^(2/(1 - 2 * log(1+x))).
|
[
"1",
"2",
"10",
"72",
"664",
"7440",
"97712",
"1468768",
"24825184",
"465516672",
"9582002688",
"214642099584",
"5195322070656",
"135064965744384",
"3752151488840448",
"110892824334154752",
"3473236656134243328",
"114893633354895538176",
"4002000861023966189568",
"146388324613230926979072"
] |
[
"nonn"
] | 15 | 0 | 2 |
[
"A000262",
"A088501",
"A088819",
"A354286",
"A354288",
"A354289",
"A354290"
] | null |
Seiichi Manyama, May 23 2022
| 2022-10-13T14:29:33 |
oeisdata/seq/A354/A354288.seq
|
5c74d8e48ee85832d5e34d23d75c836e
|
A354289
|
Expansion of e.g.f. (1 + x)^(3/(1 - 3 * log(1+x))).
|
[
"1",
"3",
"24",
"276",
"4086",
"73620",
"1557702",
"37770138",
"1030916484",
"31245154164",
"1040274476208",
"37716394860936",
"1478413316987424",
"62274364390387656",
"2804282634867538248",
"134397620584518275928",
"6828489621874434752208",
"366547074721109281366128"
] |
[
"nonn"
] | 14 | 0 | 2 |
[
"A000262",
"A088819",
"A335531",
"A354287",
"A354288",
"A354289",
"A354291"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-23T09:46:22 |
oeisdata/seq/A354/A354289.seq
|
1cc4db03faf7fb88e1648cf117b807aa
|
A354290
|
Expansion of e.g.f. exp(f(x) - 1) where f(x) = 1/(3 - 2*exp(x)).
|
[
"1",
"2",
"14",
"142",
"1878",
"30494",
"585398",
"12946910",
"323717622",
"9020101470",
"276940926646",
"9283709731806",
"337237965060982",
"13191050077634654",
"552593521885522486",
"24677110613547498718",
"1169994350288769049334",
"58684818937875321715038"
] |
[
"nonn"
] | 13 | 0 | 2 |
[
"A004123",
"A075729",
"A354286",
"A354288",
"A354290",
"A354291"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-23T10:05:27 |
oeisdata/seq/A354/A354290.seq
|
ce0630ededf048164c901ebb08dbec94
|
A354291
|
Expansion of e.g.f. exp(f(x) - 1) where f(x) = 1/(4 - 3*exp(x)) = e.g.f. for A032033.
|
[
"1",
"3",
"30",
"435",
"8211",
"190056",
"5196099",
"163541055",
"5815620696",
"230350071189",
"10048990989747",
"478467217544322",
"24678559536271581",
"1370217125170670367",
"81457311857722336614",
"5160975525978898855143",
"347090708803947931122807",
"24690132231344937537382560"
] |
[
"nonn"
] | 14 | 0 | 2 |
[
"A032033",
"A075729",
"A354287",
"A354289",
"A354290",
"A354291"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-23T11:27:26 |
oeisdata/seq/A354/A354291.seq
|
111cbde06f43f356d81d1807016d1429
|
A354292
|
Primes p such that for all m, M(m) is not divisible by p^2 where M(n) is the n-th Motzkin number A001006.
|
[
"5",
"13",
"31",
"37",
"61",
"79",
"97",
"103"
] |
[
"nonn",
"more"
] | 11 | 1 | 1 |
[
"A001006",
"A001248",
"A039963",
"A039964",
"A258710",
"A258711",
"A258712",
"A299918",
"A299919",
"A299920",
"A354292",
"A354293"
] | null |
Michel Marcus, May 23 2022
| 2022-05-23T12:12:01 |
oeisdata/seq/A354/A354292.seq
|
bb7adc0f917409f9d698d86f18c01244
|
A354293
|
a(n) is the least integer m such that A001006(m) is divisible by prime(n)^2 or -1 if no such m exists.
|
[
"3",
"4",
"-1",
"23",
"21",
"-1",
"188",
"65",
"1010",
"2231",
"-1",
"-1",
"1326",
"389",
"1092",
"13196",
"1450",
"-1",
"40466",
"85553",
"665",
"-1",
"5139193",
"333",
"-1",
"408241",
"-1",
"3072",
"6702",
"1393",
"5832",
"935",
"1071",
"77421",
"292187",
"775383",
"493135",
"4185",
"1784560",
"10632",
"7935",
"743003",
"13418",
"64499",
"1746798",
"12176",
"152551"
] |
[
"sign"
] | 24 | 1 | 1 |
[
"A000040",
"A001006",
"A001248",
"A039963",
"A039964",
"A258710",
"A258711",
"A258712",
"A299918",
"A299919",
"A299920",
"A354292",
"A354293"
] | null |
Michel Marcus, May 23 2022
| 2022-05-25T02:55:35 |
oeisdata/seq/A354/A354293.seq
|
39064ce3784de5d85ae401c54cc5dcdc
|
A354294
|
Number of palindromic compositions of 2*n into parts <= n.
|
[
"1",
"1",
"3",
"6",
"14",
"28",
"60",
"120",
"248",
"496",
"1008",
"2016",
"4064",
"8128",
"16320",
"32640",
"65408",
"130816",
"261888",
"523776",
"1048064",
"2096128",
"4193280",
"8386560",
"16775168",
"33550336",
"67104768",
"134209536",
"268427264",
"536854528",
"1073725440",
"2147450880",
"4294934528",
"8589869056",
"17179803648"
] |
[
"nonn",
"easy"
] | 26 | 0 | 3 |
[
"A000079",
"A008464",
"A016116",
"A354294"
] | null |
Gerhard Kirchner, May 23 2022
| 2025-03-28T16:13:45 |
oeisdata/seq/A354/A354294.seq
|
daf8ef7b97289fdf00af35c972778ba1
|
A354295
|
Decimal expansion of Sum_{k>=1} (-1)^k * log(k) / (k+1).
|
[
"0",
"9",
"6",
"6",
"1",
"4",
"9",
"3",
"4",
"7",
"3",
"2",
"2",
"2",
"6",
"8",
"8",
"7",
"0",
"1",
"3",
"5",
"7",
"1",
"8",
"2",
"8",
"6",
"7",
"7",
"6",
"6",
"1",
"5",
"5",
"0",
"0",
"5",
"6",
"3",
"3",
"8",
"3",
"1",
"9",
"4",
"9",
"6",
"8",
"3",
"5",
"5",
"3",
"5",
"4",
"7",
"3",
"1",
"5",
"6",
"8",
"0",
"3",
"8",
"6",
"1",
"3",
"2",
"3",
"8",
"8",
"5",
"6",
"5",
"9",
"8",
"9",
"6",
"1",
"7",
"9",
"1",
"7",
"1",
"9",
"3",
"4",
"3",
"6",
"0",
"4",
"8",
"4",
"8",
"9",
"8",
"1",
"7",
"2",
"7",
"8",
"1",
"9",
"8",
"5",
"8"
] |
[
"nonn",
"cons"
] | 9 | 0 | 2 |
[
"A091812",
"A257812",
"A354295"
] | null |
Vaclav Kotesovec, May 23 2022
| 2022-05-23T08:51:27 |
oeisdata/seq/A354/A354295.seq
|
eacf59491aaffa3326ff90b5c6e4a9ee
|
A354296
|
Decimal expansion of Product_{k>=1} (1 - exp(-2*k*Pi/sqrt(3))).
|
[
"9",
"7",
"2",
"7",
"1",
"3",
"5",
"8",
"6",
"9",
"3",
"6",
"2",
"4",
"2",
"3",
"7",
"1",
"5",
"1",
"3",
"0",
"5",
"5",
"0",
"2",
"4",
"3",
"3",
"4",
"5",
"3",
"8",
"0",
"8",
"2",
"8",
"4",
"9",
"5",
"4",
"7",
"5",
"8",
"8",
"6",
"1",
"9",
"1",
"0",
"1",
"3",
"1",
"8",
"6",
"8",
"3",
"9",
"9",
"3",
"4",
"7",
"2",
"8",
"0",
"2",
"5",
"9",
"4",
"7",
"5",
"7",
"5",
"2",
"9",
"6",
"7",
"4",
"1",
"1",
"4",
"1",
"5",
"6",
"8",
"7",
"3",
"6",
"4",
"6",
"6",
"6",
"1",
"9",
"4",
"3",
"1",
"2",
"5",
"5",
"1",
"0",
"2",
"8",
"7",
"1"
] |
[
"nonn",
"cons"
] | 11 | 0 | 1 |
[
"A292828",
"A354296"
] | null |
Vaclav Kotesovec, May 23 2022
| 2025-02-16T08:34:03 |
oeisdata/seq/A354/A354296.seq
|
b26c7c473b1528222b3092acb280016f
|
A354297
|
Minimal numbers of states for finite state automata for Motzkin numbers modulo 2^n.
|
[
"5",
"15",
"24",
"76",
"225",
"701",
"2810",
"8090"
] |
[
"nonn",
"more"
] | 6 | 1 | 1 |
[
"A001006",
"A354297"
] | null |
Michel Marcus, May 23 2022
| 2022-05-23T15:54:08 |
oeisdata/seq/A354/A354297.seq
|
20b7ff9944eb081ff16dcb25a5d75bbf
|
A354298
|
a(n) is the numerator of Sum_{k=1..n} (-1)^(k+1) / (2*k-1)!!.
|
[
"1",
"2",
"11",
"76",
"137",
"7534",
"97943",
"1469144",
"24975449",
"94906706",
"9965204131",
"229199695012",
"5729992375301",
"9100576125478",
"897316805972131",
"563093542209232",
"4589775462547450033",
"5539384178936577626",
"5943759223998947792699",
"46361321947191792783052",
"9504070999174317520525661"
] |
[
"nonn",
"frac"
] | 18 | 1 | 2 |
[
"A001147",
"A053557",
"A061354",
"A064646",
"A103816",
"A113012",
"A120265",
"A143382",
"A289381",
"A306858",
"A354298",
"A354299"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2024-01-10T23:55:37 |
oeisdata/seq/A354/A354298.seq
|
3896024d60a0c21caa4219949018a5d3
|
A354299
|
a(n) is the denominator of Sum_{k=1..n} (-1)^(k+1) / (2*k-1)!!.
|
[
"1",
"3",
"15",
"105",
"189",
"10395",
"135135",
"2027025",
"34459425",
"130945815",
"13749310575",
"316234143225",
"7905853580625",
"12556355686875",
"1238056670725875",
"776918153694375",
"6332659870762850625",
"7642865361265509375",
"8200794532637891559375",
"63966197354575554163125",
"13113070457687988603440625"
] |
[
"nonn",
"frac"
] | 10 | 1 | 2 |
[
"A001147",
"A053556",
"A061355",
"A064647",
"A113013",
"A143383",
"A289488",
"A306858",
"A354298",
"A354299"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2024-01-10T23:55:50 |
oeisdata/seq/A354/A354299.seq
|
e8858eddbfe8de1f1daeccb8833853c2
|
A354300
|
Numbers k such that k! and (k+1)! have the same binary weight (A000120).
|
[
"0",
"1",
"3",
"5",
"7",
"8",
"12",
"13",
"15",
"31",
"63",
"88",
"127",
"129",
"131",
"244",
"255",
"262",
"263",
"288",
"300",
"344",
"511",
"793",
"914",
"1012",
"1023",
"1045",
"1116",
"1196",
"1538",
"1549",
"1565",
"1652",
"1817",
"1931",
"1989",
"2047",
"2067",
"2096",
"2459",
"2548",
"2862",
"2918",
"2961",
"3372",
"3478",
"3540",
"3588",
"3673",
"3707"
] |
[
"nonn",
"base"
] | 19 | 1 | 3 |
[
"A000120",
"A000142",
"A000225",
"A079584",
"A353986",
"A354300",
"A354301"
] | null |
Amiram Eldar, May 23 2022
| 2022-05-23T17:22:25 |
oeisdata/seq/A354/A354300.seq
|
925eb2079c179e3dc29b02444ef52c9f
|
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