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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A354301
|
Numbers k such that k!, (k+1)! and (k+2)! have the same binary weight (A000120).
|
[
"0",
"7",
"12",
"262",
"12887667"
] |
[
"nonn",
"base",
"more"
] | 9 | 1 | 2 |
[
"A000120",
"A000142",
"A079584",
"A353987",
"A354300",
"A354301"
] | null |
Amiram Eldar, May 23 2022
| 2022-05-23T17:22:35 |
oeisdata/seq/A354/A354301.seq
|
0c7448e3c8854e620a030eb30c3f8243
|
A354302
|
a(n) is the numerator of Sum_{k=0..n} 1 / (k!)^2.
|
[
"1",
"2",
"9",
"41",
"1313",
"5471",
"1181737",
"28952557",
"1235309099",
"150090055529",
"30018011105801",
"201787741322329",
"523033825507476769",
"44196358255381786981",
"5774990812036553498851",
"1949059399062336805862213",
"997918412319916444601453057",
"3697415655903280160125896583"
] |
[
"nonn",
"frac"
] | 7 | 0 | 2 |
[
"A001044",
"A006040",
"A053557",
"A061354",
"A070910",
"A103816",
"A120265",
"A143382",
"A354302",
"A354303",
"A354304"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2022-05-24T02:38:47 |
oeisdata/seq/A354/A354302.seq
|
6db57544d0746157e3dbeab49faf0b6e
|
A354303
|
a(n) is the denominator of Sum_{k=0..n} 1 / (k!)^2.
|
[
"1",
"1",
"4",
"18",
"576",
"2400",
"518400",
"12700800",
"541900800",
"65840947200",
"13168189440000",
"88519495680000",
"229442532802560000",
"19387894021816320000",
"2533351485517332480000",
"855006126362099712000000",
"437763136697395052544000000",
"1621968544942912438272000000"
] |
[
"nonn",
"frac"
] | 6 | 0 | 3 |
[
"A001044",
"A006040",
"A053556",
"A061355",
"A070910",
"A143383",
"A354302",
"A354303",
"A354305"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2022-05-24T02:39:07 |
oeisdata/seq/A354/A354303.seq
|
df855fa1fddfc5e560f32a9c280b14ae
|
A354304
|
a(n) is the numerator of Sum_{k=0..n} (-1)^k / (k!)^2.
|
[
"1",
"0",
"1",
"2",
"43",
"403",
"23213",
"118483",
"51997111",
"1842647621",
"327581799289",
"8918414485643",
"4670006130663971",
"361730891537680087",
"130890931830249779173",
"427294615628884602769",
"6534075316966068976316143",
"885163015595247156635327497",
"41526561745210509140249210357"
] |
[
"nonn",
"frac"
] | 6 | 0 | 4 |
[
"A001044",
"A053557",
"A061354",
"A073701",
"A091681",
"A103816",
"A120265",
"A143382",
"A354302",
"A354304",
"A354305"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2022-05-24T02:39:24 |
oeisdata/seq/A354/A354304.seq
|
6638bf09d7629d4956f09d259fe0bc55
|
A354305
|
a(n) is the denominator of Sum_{k=0..n} (-1)^k / (k!)^2.
|
[
"1",
"1",
"4",
"9",
"192",
"1800",
"103680",
"529200",
"232243200",
"8230118400",
"1463132160000",
"39833773056000",
"20858412072960000",
"1615657835151360000",
"584619573580922880000",
"1908495817772544000000",
"29184209113159670169600000",
"3953548328298349068288000000",
"185476873609942457647104000000"
] |
[
"nonn",
"frac"
] | 7 | 0 | 3 |
[
"A001044",
"A053556",
"A061355",
"A073701",
"A091681",
"A143383",
"A354303",
"A354304",
"A354305"
] | null |
Ilya Gutkovskiy, May 23 2022
| 2023-04-25T15:02:15 |
oeisdata/seq/A354/A354305.seq
|
0e76ccc2f8c84e63ce59588d4ff2543b
|
A354306
|
Number of one-sided polypentagrams with n cells.
|
[
"1",
"2",
"7",
"62",
"459",
"4040",
"35386",
"321639",
"2958100",
"27585931",
"259670736"
] |
[
"nonn",
"hard",
"more"
] | 7 | 1 | 2 |
[
"A000105",
"A000988",
"A103465",
"A211179",
"A354306"
] | null |
Aaron N. Siegel, May 23 2022
| 2023-04-26T07:06:14 |
oeisdata/seq/A354/A354306.seq
|
9292f379b3bb7fae94ac22bf1f8fa502
|
A354307
|
Number of fixed polypentagrams with n cells.
|
[
"2",
"10",
"70",
"550",
"4590",
"39774",
"353860",
"3210940",
"29581000",
"275808700",
"2596707296"
] |
[
"nonn",
"more",
"hard"
] | 9 | 1 | 1 |
[
"A211179",
"A354306",
"A354307"
] | null |
Aaron N. Siegel, May 23 2022
| 2023-04-26T07:06:28 |
oeisdata/seq/A354/A354307.seq
|
c9986263be60d3c775ea3d22287fa878
|
A354308
|
Number of free polyjogs with n cells.
|
[
"1",
"1",
"4",
"17",
"88",
"503",
"3071",
"19372",
"124575",
"813020",
"5361539",
"35662727",
"238864272",
"1609398564"
] |
[
"nonn",
"hard",
"more"
] | 8 | 1 | 3 |
[
"A000105",
"A216583",
"A354308"
] | null |
Aaron N. Siegel, May 23 2022
| 2022-05-24T02:18:45 |
oeisdata/seq/A354/A354308.seq
|
709cbe44f01aff5f6199f10595c41ac3
|
A354309
|
Expansion of e.g.f. 1/(1 - 2*x)^(x/2).
|
[
"1",
"0",
"2",
"6",
"44",
"360",
"3744",
"46200",
"662864",
"10838016",
"198943200",
"4050937440",
"90613710912",
"2208677328000",
"58265734055424",
"1653914478303360",
"50263564166365440",
"1628300694034022400",
"56012708047907510784",
"2039053421375533094400",
"78314004507947110456320"
] |
[
"nonn"
] | 21 | 0 | 3 |
[
"A053491",
"A066166",
"A354309",
"A354310",
"A354311",
"A354315",
"A354319"
] | null |
Seiichi Manyama, May 23 2022
| 2025-01-10T15:00:46 |
oeisdata/seq/A354/A354309.seq
|
608064eed74bcce715f5e671c482ec68
|
A354310
|
Expansion of e.g.f. 1/(1 - 3*x)^(x/3).
|
[
"1",
"0",
"2",
"9",
"84",
"990",
"14754",
"264600",
"5549424",
"133217784",
"3601384200",
"108249692760",
"3580724721672",
"129250420556400",
"5055196156459344",
"212951257371183240",
"9612027759287831040",
"462798880374787387200",
"23675607840207619145664",
"1282413928716141429168000"
] |
[
"nonn"
] | 13 | 0 | 3 |
[
"A066166",
"A351735",
"A354309",
"A354310",
"A354316",
"A354320"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T08:11:35 |
oeisdata/seq/A354/A354310.seq
|
ffeaab4984cfa8710afb84b2cdc2a00e
|
A354311
|
Expansion of e.g.f. exp( x/2 * (exp(2 * x) - 1) ).
|
[
"1",
"0",
"2",
"6",
"28",
"160",
"1056",
"7784",
"63568",
"569664",
"5542240",
"58038112",
"650045760",
"7746901760",
"97790608384",
"1302349549440",
"18235836899584",
"267663541270528",
"4107395264113152",
"65739857693144576",
"1095095457262013440",
"18949711553467957248",
"340036076121127395328"
] |
[
"sign"
] | 14 | 0 | 3 |
[
"A052506",
"A351733",
"A351736",
"A354309",
"A354311",
"A354312",
"A354313"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T08:11:39 |
oeisdata/seq/A354/A354311.seq
|
dfc1448e3c3a20e8bd923b4db18e024c
|
A354312
|
Expansion of e.g.f. exp( x/3 * (exp(3 * x) - 1) ).
|
[
"1",
"0",
"2",
"9",
"48",
"315",
"2496",
"22491",
"223728",
"2437371",
"28931040",
"371291283",
"5111412120",
"75014135235",
"1168157451384",
"19228202401635",
"333378840718944",
"6069073767712587",
"115683487658404272",
"2303091818149762899",
"47784447190060311240",
"1031179733234906055507"
] |
[
"sign"
] | 17 | 0 | 3 |
[
"A052506",
"A351734",
"A351737",
"A354310",
"A354311",
"A354312",
"A354314"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T12:55:33 |
oeisdata/seq/A354/A354312.seq
|
4c937c5b30323da1af2401328120fdb1
|
A354313
|
Expansion of e.g.f. 1/(1 - x/2 * (exp(2 * x) - 1)).
|
[
"1",
"0",
"2",
"6",
"40",
"280",
"2496",
"25424",
"297984",
"3920256",
"57349120",
"922611712",
"16193375232",
"307896882176",
"6304666798080",
"138318662000640",
"3236895083167744",
"80483201605795840",
"2118875812456366080",
"58882581280649117696",
"1722441885524719042560"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A052848",
"A216794",
"A353998",
"A354311",
"A354313",
"A354314"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T08:11:44 |
oeisdata/seq/A354/A354313.seq
|
d78d0e539cf7a5ce80897014384c8ced
|
A354314
|
Expansion of e.g.f. 1/(1 - x/3 * (exp(3 * x) - 1)).
|
[
"1",
"0",
"2",
"9",
"60",
"495",
"4986",
"58401",
"780984",
"11749779",
"196446870",
"3612882933",
"72484364052",
"1575418827879",
"36875093680530",
"924769734574185",
"24737895033896304",
"703105981990977915",
"21159355356941587470",
"672148402091190649629",
"22475238194908656800460"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A052848",
"A288834",
"A328182",
"A353999",
"A354312",
"A354313",
"A354314"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T08:13:53 |
oeisdata/seq/A354/A354314.seq
|
16ffd32d11a42e15a841d852b6df8d51
|
A354315
|
Expansion of e.g.f. 1/(1 + x/2 * log(1 - 2 * x)).
|
[
"1",
"0",
"2",
"6",
"56",
"480",
"5664",
"75600",
"1182208",
"20829312",
"410768640",
"8943010560",
"213187497984",
"5520777799680",
"154333888579584",
"4631752470159360",
"148523272512307200",
"5067610703150284800",
"183308248516478828544",
"7006773595450681589760",
"282194468488468121518080"
] |
[
"nonn"
] | 11 | 0 | 3 |
[
"A052830",
"A354309",
"A354315",
"A354316",
"A354327"
] | null |
Seiichi Manyama, May 23 2022
| 2022-05-24T08:11:07 |
oeisdata/seq/A354/A354315.seq
|
e53831fab9b0d57e38a6dd465c258e14
|
A354316
|
Expansion of e.g.f. 1/(1 + x/3 * log(1 - 3 * x)).
|
[
"1",
"0",
"2",
"9",
"96",
"1170",
"18324",
"340200",
"7360128",
"181476288",
"5024611440",
"154319988240",
"5206240427904",
"191372822989920",
"7612497915813504",
"325791049256094240",
"14925809593280332800",
"728828735500650355200",
"37786217117138333005824"
] |
[
"nonn"
] | 12 | 0 | 3 |
[
"A052830",
"A354310",
"A354315",
"A354316"
] | null |
Seiichi Manyama, May 23 2022
| 2023-03-06T13:16:16 |
oeisdata/seq/A354/A354316.seq
|
64f9063319a2f1669fcf020750304af3
|
A354317
|
Expansion of e.g.f. exp(-log(1 + x)^2 / 2).
|
[
"1",
"0",
"-1",
"3",
"-8",
"20",
"-34",
"-126",
"2514",
"-28008",
"285774",
"-2922810",
"30858048",
"-339954264",
"3920819748",
"-47319853140",
"596005041852",
"-7799132781792",
"105344546511684",
"-1454910026870412",
"20242465245436128",
"-276289562032117200",
"3490199850169557480"
] |
[
"sign"
] | 16 | 0 | 4 |
[
"A347001",
"A354317",
"A354318"
] | null |
Seiichi Manyama, May 24 2022
| 2022-05-24T08:11:11 |
oeisdata/seq/A354/A354317.seq
|
cbbfe6079e6abd4b1f3e65ee25f03743
|
A354318
|
Expansion of e.g.f. exp(-log(1 + x)^4 / 24).
|
[
"1",
"0",
"0",
"0",
"-1",
"10",
"-85",
"735",
"-6734",
"66024",
"-693230",
"7774250",
"-92754046",
"1172033148",
"-15609023066",
"217966080150",
"-3173198858894",
"47842246890224",
"-740798341880328",
"11644416638285544",
"-182433719522266066",
"2752864573552860900",
"-36826753489645422050"
] |
[
"sign"
] | 14 | 0 | 6 |
[
"A346946",
"A347003",
"A354317",
"A354318"
] | null |
Seiichi Manyama, May 24 2022
| 2022-12-27T12:25:10 |
oeisdata/seq/A354/A354318.seq
|
5ed148dcd0d0e6d9e45e2727bae6ab79
|
A354319
|
Expansion of e.g.f. 1/(1 - 2*x)^(x/4).
|
[
"1",
"0",
"1",
"3",
"19",
"150",
"1497",
"17955",
"251681",
"4036284",
"72874125",
"1462571055",
"32297755803",
"778188449610",
"20313917363733",
"571081958323695",
"17201321168216385",
"552635193533958360",
"18863471310967732473",
"681711909339186154395",
"26003437607893415476995"
] |
[
"nonn"
] | 15 | 0 | 4 |
[
"A354309",
"A354319",
"A354323",
"A354327"
] | null |
Seiichi Manyama, May 24 2022
| 2024-03-14T09:03:58 |
oeisdata/seq/A354/A354319.seq
|
bbad2b32ffa84ff3eab01d1b70334e0a
|
A354320
|
Expansion of e.g.f. 1/(1 - 4*x)^(x/8).
|
[
"1",
"0",
"1",
"6",
"67",
"1020",
"19767",
"464310",
"12802121",
"405017928",
"14454250785",
"574259123790",
"25131727031163",
"1201109694719220",
"62238037299307863",
"3475264183358721390",
"208017790077615619665",
"13286691367919839674000",
"901996048369381319539713"
] |
[
"nonn"
] | 14 | 0 | 4 |
[
"A354320",
"A354328"
] | null |
Seiichi Manyama, May 24 2022
| 2022-05-24T08:11:54 |
oeisdata/seq/A354/A354320.seq
|
330725da62903cd3e78821499d117d42
|
A354321
|
Digit above the least significant 01 digit pair in the Zeckendorf representation of n.
|
[
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1"
] |
[
"nonn",
"easy"
] | 17 | 1 | null |
[
"A000032",
"A000045",
"A001622",
"A003714",
"A005206",
"A014417",
"A038189",
"A066628",
"A086483",
"A132338",
"A189920",
"A348853",
"A354321"
] | null |
Kevin Ryde, May 29 2022
| 2024-02-17T04:04:30 |
oeisdata/seq/A354/A354321.seq
|
88aabe9fc3df4f41b1bc4366b6bb8908
|
A354322
|
Irregular triangle read by rows where row n lists the distinct Matula-Goebel numbers of terminal subtrees occurring in the tree with Matula-Goebel number n.
|
[
"1",
"1",
"2",
"1",
"2",
"3",
"1",
"4",
"1",
"2",
"3",
"5",
"1",
"2",
"6",
"1",
"4",
"7",
"1",
"8",
"1",
"2",
"9",
"1",
"2",
"3",
"10",
"1",
"2",
"3",
"5",
"11",
"1",
"2",
"12",
"1",
"2",
"6",
"13",
"1",
"4",
"14",
"1",
"2",
"3",
"15",
"1",
"16",
"1",
"4",
"7",
"17",
"1",
"2",
"18",
"1",
"8",
"19",
"1",
"2",
"3",
"20",
"1",
"2",
"4",
"21",
"1",
"2",
"3",
"5",
"22",
"1",
"2",
"9",
"23",
"1",
"2",
"24",
"1",
"2",
"3",
"25"
] |
[
"nonn",
"tabf"
] | 10 | 1 | 3 |
[
"A007097",
"A061395",
"A317713",
"A354322"
] | null |
Kevin Ryde, Jun 08 2022
| 2024-08-27T18:30:48 |
oeisdata/seq/A354/A354322.seq
|
a0d21436dd38ec86bb70c145ac9bdf22
|
A354323
|
Expansion of e.g.f. exp( x/4 * (exp(2 * x) - 1) ).
|
[
"1",
"0",
"1",
"3",
"11",
"50",
"273",
"1687",
"11505",
"86004",
"700445",
"6163751",
"58148547",
"584622766",
"6235669629",
"70286727435",
"834288853217",
"10395375065096",
"135592878107673",
"1846897191981835",
"26212412703559515",
"386874121137659274",
"5927186655133112105",
"94108950154465139807"
] |
[
"nonn"
] | 11 | 0 | 4 |
[
"A354323",
"A354325"
] | null |
Seiichi Manyama, May 24 2022
| 2022-05-24T08:11:58 |
oeisdata/seq/A354/A354323.seq
|
a290111567001036e79743371856a3f6
|
A354324
|
Expansion of e.g.f. exp( x/8 * (exp(4 * x) - 1) ).
|
[
"1",
"0",
"1",
"6",
"35",
"220",
"1623",
"14294",
"144393",
"1605384",
"19295585",
"249938062",
"3485830299",
"52134346004",
"830954821431",
"14031857352270",
"249956799370193",
"4682845238636560",
"92038069890608769",
"1893193762636115990",
"40659808272769543635",
"909744112577077608012"
] |
[
"nonn"
] | 12 | 0 | 4 |
[
"A354324",
"A354326"
] | null |
Seiichi Manyama, May 24 2022
| 2024-05-25T22:59:49 |
oeisdata/seq/A354/A354324.seq
|
728a4d02fd03e6f80f020e7ff7d3b767
|
A354325
|
Expansion of e.g.f. 1/(1 - x/4 * (exp(2 * x) - 1)).
|
[
"1",
"0",
"1",
"3",
"14",
"80",
"558",
"4522",
"41864",
"436032",
"5046680",
"64251176",
"892361520",
"13426491520",
"217555171568",
"3776935252560",
"69942048682112",
"1376150998836224",
"28669321699355520",
"630448829825395840",
"14593473117397510400",
"354696400190943197184",
"9031466708133617225984"
] |
[
"nonn"
] | 13 | 0 | 4 |
[
"A354313",
"A354323",
"A354325",
"A354326"
] | null |
Seiichi Manyama, May 24 2022
| 2022-12-02T15:00:10 |
oeisdata/seq/A354/A354325.seq
|
084e1da647601171f5f051bcc9e2d9f7
|
A354326
|
Expansion of e.g.f. 1/(1 - x/8 * (exp(4 * x) - 1)).
|
[
"1",
"0",
"1",
"6",
"38",
"280",
"2538",
"27524",
"341912",
"4754880",
"73322360",
"1244282512",
"23048700912",
"462565343552",
"9996300546512",
"231444311970720",
"5715911385442688",
"149988948332148736",
"4167328800543910272",
"122218355207805620480",
"3773036019063284645120"
] |
[
"nonn"
] | 14 | 0 | 4 |
[
"A354324",
"A354325",
"A354326",
"A354328"
] | null |
Seiichi Manyama, May 24 2022
| 2023-10-03T15:26:31 |
oeisdata/seq/A354/A354326.seq
|
ad0adb12d7c66dc712b2aa67d1449f25
|
A354327
|
Expansion of e.g.f. 1/(1 + x/4 * log(1 - 2 * x)).
|
[
"1",
"0",
"1",
"3",
"22",
"180",
"1902",
"23730",
"344872",
"5706288",
"105960600",
"2181449160",
"49311653616",
"1214109056160",
"32339248301808",
"926527371653520",
"28410493609687680",
"928335829570087680",
"32201658919855225728",
"1181755749910942408320",
"45744743939940787150080"
] |
[
"nonn"
] | 11 | 0 | 4 |
[
"A052830",
"A187735",
"A354325",
"A354327",
"A354328"
] | null |
Seiichi Manyama, May 24 2022
| 2022-05-24T08:11:30 |
oeisdata/seq/A354/A354327.seq
|
281e5ac84141ce16768589d160421e08
|
A354328
|
Expansion of e.g.f. 1/(1 + x/8 * log(1 - 4 * x)).
|
[
"1",
"0",
"1",
"6",
"70",
"1080",
"21162",
"501060",
"13904152",
"442241856",
"15855648120",
"632501646480",
"27781645311216",
"1332152096109120",
"69237728070951888",
"3876953348374273440",
"232666700169003442560",
"14897335773169370787840",
"1013656610215024983681408"
] |
[
"nonn"
] | 10 | 0 | 4 |
[
"A354326",
"A354327",
"A354328"
] | null |
Seiichi Manyama, May 24 2022
| 2022-05-24T08:12:09 |
oeisdata/seq/A354/A354328.seq
|
9f186c2faffe9ca37f72986e438771a0
|
A354329
|
Triangular number nearest to the sum of the first n positive triangular numbers.
|
[
"0",
"1",
"3",
"10",
"21",
"36",
"55",
"78",
"120",
"171",
"210",
"276",
"351",
"465",
"561",
"666",
"820",
"990",
"1128",
"1326",
"1540",
"1770",
"2016",
"2278",
"2628",
"2926",
"3240",
"3655",
"4095",
"4465",
"4950",
"5460",
"5995",
"6555",
"7140",
"7750",
"8385",
"9180",
"9870",
"10731",
"11476",
"12403",
"13203",
"14196",
"15225",
"16290",
"17205"
] |
[
"nonn",
"easy"
] | 44 | 0 | 3 |
[
"A000217",
"A000292",
"A053616",
"A229118",
"A354329",
"A354330"
] | null |
Paolo Xausa, Jun 04 2022
| 2022-07-15T13:49:54 |
oeisdata/seq/A354/A354329.seq
|
59fa25bb0e56e36bf753cb6c5a32a35a
|
A354330
|
Distance from the sum of the first n positive triangular numbers to the nearest triangular number.
|
[
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"6",
"0",
"6",
"10",
"10",
"13",
"10",
"1",
"14",
"4",
"21",
"12",
"4",
"0",
"1",
"8",
"22",
"28",
"1",
"36",
"1",
"35",
"30",
"10",
"4",
"11",
"10",
"0",
"20",
"51",
"41",
"10",
"71",
"4",
"62",
"41",
"6",
"45",
"75",
"91",
"88",
"97",
"85",
"55",
"10",
"51",
"100",
"10",
"99",
"20",
"124",
"29",
"56",
"130",
"90",
"48",
"20",
"7",
"10",
"30",
"68",
"125",
"136"
] |
[
"nonn",
"easy"
] | 39 | 0 | 8 |
[
"A000217",
"A000292",
"A053616",
"A224421",
"A238455",
"A351830",
"A354329",
"A354330"
] | null |
Paolo Xausa, Jun 04 2022
| 2022-07-15T13:50:10 |
oeisdata/seq/A354/A354330.seq
|
37343bcd7570e943e2990f9c6ec9498c
|
A354331
|
a(n) is the denominator of Sum_{k=0..n} 1 / (2*k+1)!.
|
[
"1",
"6",
"40",
"5040",
"362880",
"13305600",
"6227020800",
"1307674368000",
"513257472000",
"121645100408832000",
"51090942171709440000",
"8617338912961658880000",
"15511210043330985984000000",
"10888869450418352160768000000",
"2947253997913233984847872000000",
"1174691236311131831103651840000000"
] |
[
"nonn",
"frac"
] | 12 | 0 | 2 |
[
"A009445",
"A053556",
"A061355",
"A073742",
"A143383",
"A289488",
"A354211",
"A354331",
"A354333",
"A354335"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-24T12:54:56 |
oeisdata/seq/A354/A354331.seq
|
e6a557daa8da572b1bd1865728c5e9d3
|
A354332
|
a(n) is the numerator of Sum_{k=0..n} (-1)^k / (2*k+1)!.
|
[
"1",
"5",
"101",
"4241",
"305353",
"33588829",
"209594293",
"1100370038249",
"23023126954133",
"102360822438075317",
"42991545423991633141",
"4350744396907953273869",
"13052233190723859821607001",
"9162667699888149594768114701",
"7440086172309177470951709137213",
"364172638960396581472899447242531"
] |
[
"nonn",
"frac"
] | 13 | 0 | 2 |
[
"A009445",
"A049469",
"A053557",
"A061354",
"A103816",
"A120265",
"A143382",
"A354211",
"A354298",
"A354332",
"A354333",
"A354334"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-24T12:55:01 |
oeisdata/seq/A354/A354332.seq
|
b23a0728fbd861de6c00bf19833c89a0
|
A354333
|
a(n) is the denominator of Sum_{k=0..n} (-1)^k / (2*k+1)!.
|
[
"1",
"6",
"120",
"5040",
"362880",
"39916800",
"249080832",
"1307674368000",
"27360571392000",
"121645100408832000",
"51090942171709440000",
"5170403347776995328000",
"15511210043330985984000000",
"10888869450418352160768000000",
"8841761993739701954543616000000",
"432780981798838043038187520000000"
] |
[
"nonn",
"frac"
] | 12 | 0 | 2 |
[
"A009445",
"A049469",
"A053556",
"A061355",
"A143383",
"A354299",
"A354331",
"A354332",
"A354333",
"A354335"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-24T12:55:04 |
oeisdata/seq/A354/A354333.seq
|
d5c48142efe74f46b9d6fb6107001447
|
A354334
|
a(n) is the numerator of Sum_{k=0..n} 1 / (2*k)!.
|
[
"1",
"3",
"37",
"1111",
"6913",
"799933",
"739138093",
"44841044309",
"32285551902481",
"9879378882159187",
"1251387991740163687",
"1734423756551866870183",
"136771701945232930334431",
"23048564587067030852654113",
"42769754577382930342215977687",
"409306551305554643375006906464591"
] |
[
"nonn",
"frac"
] | 15 | 0 | 2 |
[
"A010050",
"A053557",
"A061354",
"A073743",
"A103816",
"A120265",
"A143382",
"A354211",
"A354332",
"A354334",
"A354335"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2024-09-05T11:44:55 |
oeisdata/seq/A354/A354334.seq
|
5a6d12deeab43494f93c08d5be2ff60d
|
A354335
|
a(n) is the denominator of Sum_{k=0..n} 1 / (2*k)!.
|
[
"1",
"2",
"24",
"720",
"4480",
"518400",
"479001600",
"29059430400",
"20922789888000",
"6402373705728000",
"810967336058880000",
"1124000727777607680000",
"88635485961891348480000",
"14936720782466875392000000",
"27717122237428532772864000000",
"265252859812191058636308480000000"
] |
[
"nonn",
"frac"
] | 12 | 0 | 2 |
[
"A010050",
"A053556",
"A061355",
"A073743",
"A143383",
"A354331",
"A354333",
"A354334",
"A354335"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-24T12:55:14 |
oeisdata/seq/A354/A354335.seq
|
ac10032e37687e41836ab180b7c4c333
|
A354336
|
a(n) is the integer w such that (L(2*n)^2, -L(2*n-1)^2, -w) is a primitive solution to the Diophantine equation 2*x^3 + 2*y^3 + z^3 = 125, where L(n) is the n-th Lucas number (A000032).
|
[
"1",
"11",
"61",
"401",
"2731",
"18701",
"128161",
"878411",
"6020701",
"41266481",
"282844651",
"1938646061",
"13287677761",
"91075098251",
"624238009981",
"4278590971601",
"29325898791211",
"201002700566861",
"1377693005176801",
"9442848335670731",
"64722245344518301",
"443612869075957361"
] |
[
"nonn",
"easy"
] | 27 | 0 | 2 |
[
"A000032",
"A002878",
"A005248",
"A017281",
"A056914",
"A081015",
"A092521",
"A337928",
"A354336",
"A354337"
] | null |
XU Pingya, Jun 20 2022
| 2025-03-22T19:03:56 |
oeisdata/seq/A354/A354336.seq
|
1d5e5b45a2f7d9cfbd6ec0d057c39a38
|
A354337
|
a(n) is the integer w such that (L(2*n)^2, -L(2*n + 1)^2, w) is a primitive solution to the Diophantine equation 2*x^3 + 2*y^3 + z^3 = 125, where L(n) is the n-th Lucas number (A000032).
|
[
"19",
"149",
"1039",
"7139",
"48949",
"335519",
"2299699",
"15762389",
"108037039",
"740496899",
"5075441269",
"34787591999",
"238437702739",
"1634276327189",
"11201496587599",
"76776199786019",
"526231901914549",
"3606847113615839",
"24721697893396339",
"169445038140158549",
"1161393569087713519"
] |
[
"nonn",
"easy"
] | 17 | 1 | 1 |
[
"A000032",
"A002878",
"A005248",
"A017377",
"A081017",
"A089508",
"A092521",
"A288913",
"A337929",
"A354336",
"A354337"
] | null |
XU Pingya, Jun 20 2022
| 2022-08-23T09:35:58 |
oeisdata/seq/A354/A354337.seq
|
4d987406189572b5fc314aa3a921ed31
|
A354338
|
a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} 1/(d * (k/d)!) )/(n-k)!.
|
[
"1",
"4",
"12",
"41",
"145",
"742",
"3962",
"27659",
"215131",
"1996356",
"17300360",
"218809109",
"2421142269",
"31105286682",
"427776526574",
"6964677268087",
"97708052695959",
"1856379196278120",
"30362097934331500",
"606395795174882161",
"12016899266310773097",
"261771941015999635310"
] |
[
"nonn"
] | 15 | 1 | 2 |
[
"A087906",
"A354338",
"A354341",
"A356009"
] | null |
Seiichi Manyama, Aug 15 2022
| 2022-08-15T08:32:22 |
oeisdata/seq/A354/A354338.seq
|
7f52445b5bff5a8fe170fb4628e85a22
|
A354339
|
a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} 1/(d * (k/d)^d) )/(n-k)!.
|
[
"1",
"4",
"13",
"47",
"188",
"939",
"5332",
"36196",
"279085",
"2464592",
"23591753",
"259110191",
"3030440580",
"38874240339",
"535736880460",
"8027897509136",
"126034992483809",
"2144006461602308",
"38072688073456557",
"723023026186433271",
"14342481336066795732",
"301141522554921194275"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A308345",
"A354339",
"A356406"
] | null |
Seiichi Manyama, Aug 15 2022
| 2022-08-15T08:37:28 |
oeisdata/seq/A354/A354339.seq
|
3f0bedae6744d2881dd80215bc450b00
|
A354340
|
a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} d^(k/d + 1) )/(k * (n-k)!).
|
[
"1",
"7",
"38",
"264",
"1629",
"16075",
"122366",
"1414952",
"16076913",
"213998983",
"2112313774",
"53581378400",
"664573162941",
"9967808211387",
"239545427723062",
"5933102008956848",
"79857813309308609",
"2677379355344673255",
"44453311791217697686",
"1743982053518367438616"
] |
[
"nonn"
] | 13 | 1 | 2 |
[
"A078308",
"A353992",
"A354340",
"A354848",
"A356598"
] | null |
Seiichi Manyama, Aug 15 2022
| 2022-08-15T08:41:15 |
oeisdata/seq/A354/A354340.seq
|
f712996ca35d04760d11a1a37b28f8d2
|
A354341
|
a(n) = n! * Sum_{k=1..n} ( Sum_{d|k} 1/(d * ((k/d)!)^d) )/(n-k)!.
|
[
"1",
"4",
"12",
"38",
"130",
"557",
"2877",
"18314",
"136458",
"1180457",
"11389081",
"122833207",
"1446973931",
"18594740348",
"257507754524",
"3835059283282",
"60937544854850",
"1030871972064485",
"18469079943443229",
"349656695460113159",
"6969526853682012755",
"145958486484692023936"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A182926",
"A354339",
"A354341",
"A356407"
] | null |
Seiichi Manyama, Aug 15 2022
| 2022-08-15T08:37:23 |
oeisdata/seq/A354/A354341.seq
|
1e83b867a061ce1c83a1e171662a64a0
|
A354342
|
Numbers divisible by a square greater than 1 that are the sum of two consecutive numbers divisible by a square greater than 1.
|
[
"49",
"99",
"343",
"351",
"775",
"847",
"1025",
"1449",
"1665",
"1681",
"1849",
"1863",
"2057",
"2151",
"2367",
"2575",
"2825",
"2889",
"3175",
"3185",
"3249",
"3609",
"3625",
"3699",
"3725",
"3751",
"3871",
"3951",
"4113",
"4375",
"4599",
"4625",
"4913",
"5047",
"5049",
"5193",
"5239",
"5391",
"5751",
"5887",
"6137",
"6175",
"6425",
"6713",
"6849"
] |
[
"nonn"
] | 41 | 1 | 1 |
[
"A000290",
"A008683",
"A013929",
"A068781",
"A354342"
] | null |
Daniel Barker, Sep 12 2022
| 2022-10-23T22:53:27 |
oeisdata/seq/A354/A354342.seq
|
110c6aa72af3a50c2ae8f13030b8df15
|
A354343
|
Number of distinct sums of n complex 6th power roots of unity.
|
[
"1",
"6",
"19",
"37",
"61",
"91",
"127",
"169",
"217",
"271",
"331",
"397",
"469",
"547",
"631",
"721",
"817",
"919",
"1027",
"1141",
"1261",
"1387",
"1519",
"1657",
"1801",
"1951",
"2107",
"2269",
"2437",
"2611",
"2791",
"2977",
"3169",
"3367",
"3571",
"3781",
"3997",
"4219",
"4447",
"4681",
"4921",
"5167",
"5419",
"5677",
"5941",
"6211",
"6487",
"6769",
"7057",
"7351",
"7651",
"7957"
] |
[
"nonn",
"easy"
] | 16 | 0 | 2 |
[
"A000012",
"A000027",
"A000217",
"A000290",
"A000332",
"A000579",
"A003215",
"A014820",
"A103314",
"A107753",
"A107754",
"A107848",
"A107861",
"A108380",
"A108381",
"A143008",
"A299754",
"A299807",
"A354343"
] | null |
Max Alekseyev, Aug 15 2022
| 2024-11-03T17:46:01 |
oeisdata/seq/A354/A354343.seq
|
8de841de9900446d100b0accab922d9e
|
A354344
|
a(n) = 1 if n is x * A005383(i), where x is either 2, 3, 8, 9 or 15 and i > 2 [i.e., A005383(i) > 5], otherwise 0.
|
[
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0"
] |
[
"nonn"
] | 8 | 1 | null |
[
"A005383",
"A354344",
"A354345"
] | null |
Antti Karttunen, May 25 2022
| 2022-05-25T22:51:33 |
oeisdata/seq/A354/A354344.seq
|
be1de07a95371c7f582ae5db2a06b683
|
A354345
|
Numbers k such that k = x * A005383(i), where x is either 2, 3, 8, 9 or 15 and i > 2 [i.e., A005383(i) > 5].
|
[
"26",
"39",
"74",
"104",
"111",
"117",
"122",
"146",
"183",
"195",
"219",
"296",
"314",
"333",
"386",
"471",
"488",
"549",
"554",
"555",
"579",
"584",
"626",
"657",
"794",
"831",
"842",
"914",
"915",
"939",
"1082",
"1095",
"1191",
"1226",
"1256",
"1263",
"1322",
"1346",
"1371",
"1413",
"1466",
"1514",
"1544",
"1623",
"1737",
"1754",
"1839",
"1983",
"1994",
"2019",
"2186",
"2199",
"2216",
"2271",
"2306",
"2355",
"2402",
"2426"
] |
[
"nonn"
] | 6 | 1 | 1 |
[
"A005383",
"A006872",
"A260021",
"A353636",
"A354344",
"A354345"
] | null |
Antti Karttunen, May 25 2022
| 2022-05-25T09:14:25 |
oeisdata/seq/A354/A354345.seq
|
162a4a6b17275c7ebe7160e56cd39db7
|
A354346
|
a(n) = 2*n - A064989(sigma(sigma(A003961(n)))), where A003961 shifts the prime factorization one step towards larger primes, and A064989 shifts it back towards smaller primes.
|
[
"1",
"-1",
"4",
"3",
"4",
"6",
"9",
"4",
"17",
"0",
"20",
"14",
"4",
"-1",
"1",
"-53",
"24",
"31",
"32",
"10",
"-24",
"38",
"42",
"-10",
"47",
"-14",
"29",
"31",
"38",
"-53",
"56",
"39",
"61",
"10",
"50",
"67",
"72",
"56",
"63",
"-146",
"72",
"-136",
"57",
"78",
"84",
"80",
"88",
"-74",
"95",
"85",
"90",
"-6",
"96",
"-37",
"81",
"72",
"-205",
"38",
"116",
"-25",
"102",
"106",
"121",
"-413",
"-189",
"103",
"68",
"86",
"28",
"62",
"108",
"132",
"88",
"142",
"84"
] |
[
"sign"
] | 12 | 1 | 3 |
[
"A000203",
"A003961",
"A033879",
"A064989",
"A354195",
"A354346"
] | null |
Antti Karttunen, May 25 2022
| 2022-05-26T20:43:41 |
oeisdata/seq/A354/A354346.seq
|
ee97e19c22f2cde2ef0df208754904f1
|
A354347
|
Dirichlet inverse of A345000, where A345000(n) = gcd(A003415(n), A003415(A276086(n))), with A003415 the arithmetic derivative, and A276086 the primorial base exp-function.
|
[
"1",
"-1",
"-1",
"-1",
"-1",
"1",
"-1",
"-1",
"0",
"1",
"-1",
"1",
"-1",
"1",
"1",
"-9",
"-1",
"-2",
"-1",
"1",
"-3",
"1",
"-1",
"1",
"-4",
"-3",
"0",
"1",
"-1",
"-1",
"-1",
"21",
"1",
"1",
"-1",
"-6",
"-1",
"1",
"1",
"3",
"-1",
"7",
"-1",
"-1",
"0",
"-3",
"-1",
"23",
"0",
"4",
"-3",
"7",
"-1",
"2",
"1",
"3",
"1",
"1",
"-1",
"-1",
"-1",
"1",
"8",
"15",
"-1",
"-1",
"-1",
"1",
"1",
"3",
"-1",
"14",
"-1",
"1",
"-46",
"-7",
"-1",
"7",
"-1",
"5",
"0",
"1",
"-1",
"3",
"1",
"-3",
"1",
"-131"
] |
[
"sign"
] | 17 | 1 | 16 |
[
"A003415",
"A038838",
"A122132",
"A276086",
"A345000",
"A346242",
"A353627",
"A354347",
"A354348",
"A354815",
"A354816",
"A354823",
"A354824"
] | null |
Antti Karttunen, Jun 07 2022
| 2022-06-09T08:44:52 |
oeisdata/seq/A354/A354347.seq
|
6a28a54a203afec3b19d2d95e0afe3ba
|
A354348
|
Dirichlet inverse of function f(1) = 1, f(n) = gcd(A003415(n), A276086(n)) for n > 1.
|
[
"1",
"-1",
"-1",
"0",
"-1",
"-3",
"-1",
"-2",
"-5",
"1",
"-1",
"8",
"-1",
"-1",
"0",
"4",
"-1",
"18",
"-1",
"-2",
"-8",
"1",
"-1",
"0",
"-9",
"-13",
"8",
"4",
"-1",
"9",
"-1",
"-2",
"-12",
"1",
"-4",
"-9",
"-1",
"-19",
"0",
"8",
"-1",
"29",
"-1",
"-2",
"10",
"-23",
"-1",
"2",
"-13",
"4",
"-8",
"22",
"-1",
"20",
"0",
"2",
"0",
"1",
"-1",
"-13",
"-1",
"-1",
"26",
"2",
"-16",
"33",
"-1",
"-2",
"0",
"13",
"-1",
"-14",
"-1",
"-1",
"16",
"36",
"-16",
"37",
"-1",
"-10",
"19",
"1"
] |
[
"sign"
] | 13 | 1 | 6 |
[
"A003415",
"A276086",
"A327858",
"A346242",
"A354347",
"A354348"
] | null |
Antti Karttunen, Jun 08 2022
| 2022-06-08T15:48:47 |
oeisdata/seq/A354/A354348.seq
|
b7fa35485d02f62d05a2408174204abd
|
A354349
|
Dirichlet inverse of A181819, prime shadow of n.
|
[
"1",
"-2",
"-2",
"1",
"-2",
"4",
"-2",
"-1",
"1",
"4",
"-2",
"-2",
"-2",
"4",
"4",
"2",
"-2",
"-2",
"-2",
"-2",
"4",
"4",
"-2",
"2",
"1",
"4",
"-1",
"-2",
"-2",
"-8",
"-2",
"-3",
"4",
"4",
"4",
"1",
"-2",
"4",
"4",
"2",
"-2",
"-8",
"-2",
"-2",
"-2",
"4",
"-2",
"-4",
"1",
"-2",
"4",
"-2",
"-2",
"2",
"4",
"2",
"4",
"4",
"-2",
"4",
"-2",
"4",
"-2",
"7",
"4",
"-8",
"-2",
"-2",
"4",
"-8",
"-2",
"-1",
"-2",
"4",
"-2",
"-2",
"4",
"-8",
"-2",
"-4",
"2",
"4",
"-2",
"4",
"4",
"4",
"4",
"2",
"-2",
"4",
"4"
] |
[
"sign",
"mult"
] | 11 | 1 | 2 |
[
"A181819",
"A354186",
"A354349",
"A354351",
"A354359"
] | null |
Antti Karttunen, Jun 05 2022
| 2022-06-05T23:20:05 |
oeisdata/seq/A354/A354349.seq
|
ebf86c838c35723f096a3962acb75ce6
|
A354350
|
a(n) = n + A354365(n).
|
[
"2",
"0",
"0",
"4",
"0",
"9",
"0",
"8",
"9",
"20",
"0",
"12",
"0",
"28",
"20",
"16",
"0",
"18",
"0",
"20",
"42",
"44",
"0",
"24",
"25",
"52",
"27",
"28",
"0",
"25",
"0",
"32",
"66",
"68",
"42",
"36",
"0",
"76",
"78",
"40",
"0",
"21",
"0",
"44",
"45",
"92",
"0",
"48",
"49",
"50",
"102",
"52",
"0",
"54",
"110",
"56",
"114",
"116",
"0",
"60",
"0",
"124",
"63",
"64",
"130",
"33",
"0",
"68",
"138",
"56",
"0",
"72",
"0",
"148",
"75",
"76",
"88",
"39",
"0",
"80",
"81",
"164",
"0",
"84",
"170"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A008683",
"A055615",
"A064989",
"A354350",
"A354365"
] | null |
Antti Karttunen, Jun 07 2022
| 2022-06-08T14:24:03 |
oeisdata/seq/A354/A354350.seq
|
ced65a1b995a7dea92ff70ef463a780d
|
A354351
|
Dirichlet inverse of A108951, primorial inflation of n.
|
[
"1",
"-2",
"-6",
"0",
"-30",
"12",
"-210",
"0",
"0",
"60",
"-2310",
"0",
"-30030",
"420",
"180",
"0",
"-510510",
"0",
"-9699690",
"0",
"1260",
"4620",
"-223092870",
"0",
"0",
"60060",
"0",
"0",
"-6469693230",
"-360",
"-200560490130",
"0",
"13860",
"1021020",
"6300",
"0",
"-7420738134810",
"19399380",
"180180",
"0",
"-304250263527210",
"-2520",
"-13082761331670030",
"0",
"0",
"446185740",
"-614889782588491410"
] |
[
"sign",
"mult"
] | 14 | 1 | 2 |
[
"A002110",
"A008683",
"A013929",
"A034386",
"A108951",
"A347379",
"A354186",
"A354349",
"A354351",
"A354352",
"A354359",
"A354365",
"A354366"
] | null |
Antti Karttunen, Jun 05 2022
| 2022-06-08T10:18:18 |
oeisdata/seq/A354/A354351.seq
|
02b23433e7c0813a616a69de85cb0ca6
|
A354352
|
Sum of primorial inflation (A108951) and its Dirichlet inverse.
|
[
"2",
"0",
"0",
"4",
"0",
"24",
"0",
"8",
"36",
"120",
"0",
"24",
"0",
"840",
"360",
"16",
"0",
"72",
"0",
"120",
"2520",
"9240",
"0",
"48",
"900",
"120120",
"216",
"840",
"0",
"0",
"0",
"32",
"27720",
"2042040",
"12600",
"144",
"0",
"38798760",
"360360",
"240",
"0",
"0",
"0",
"9240",
"1080",
"892371480",
"0",
"96",
"44100",
"1800",
"6126120",
"120120",
"0",
"432",
"138600",
"1680",
"116396280",
"25878772920",
"0",
"720",
"0",
"802241960520"
] |
[
"nonn"
] | 9 | 1 | 1 |
[
"A001248",
"A002110",
"A061742",
"A108951",
"A354351",
"A354352"
] | null |
Antti Karttunen, Jun 05 2022
| 2022-06-05T23:20:17 |
oeisdata/seq/A354/A354352.seq
|
4b5b4f0c27f14e7acc2e6d8708c721c1
|
A354353
|
a(n) = 1 if n is either a squarefree composite or a power of squarefree composite, otherwise 0.
|
[
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"1",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1"
] |
[
"nonn"
] | 17 | 1 | null |
[
"A001221",
"A008966",
"A046523",
"A182853",
"A227291",
"A354353",
"A354819"
] | null |
Antti Karttunen, Jun 10 2022
| 2022-09-19T13:42:08 |
oeisdata/seq/A354/A354353.seq
|
d1babe49b6094c610131796c0b12766d
|
A354354
|
a(n) = 1 if n is neither a multiple of 2 nor 3, and otherwise 0.
|
[
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"0"
] |
[
"nonn",
"easy",
"mult"
] | 29 | 0 | null |
[
"A007310",
"A065333",
"A089128",
"A109017",
"A110161",
"A120325",
"A134667",
"A232991",
"A322796",
"A354354"
] | null |
Antti Karttunen, May 25 2022
| 2022-12-27T02:29:30 |
oeisdata/seq/A354/A354354.seq
|
e7f1412a2ef0d5d71a579178dd2dc397
|
A354355
|
Characteristic function of numbers with their sum of divisors (sigma) 3-smooth.
|
[
"1",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1"
] |
[
"nonn",
"mult"
] | 12 | 1 | null |
[
"A000203",
"A065333",
"A122255",
"A354355",
"A354356"
] | null |
Antti Karttunen, May 24 2022
| 2022-05-25T22:51:38 |
oeisdata/seq/A354/A354355.seq
|
fa0c20644447e5cb5e6a386e487488b0
|
A354356
|
Numbers k such that sigma(k) is 3-smooth (has no larger prime factors than 3).
|
[
"1",
"2",
"3",
"5",
"6",
"7",
"10",
"11",
"14",
"15",
"17",
"21",
"22",
"23",
"30",
"31",
"33",
"34",
"35",
"42",
"46",
"47",
"51",
"53",
"55",
"62",
"66",
"69",
"70",
"71",
"77",
"85",
"93",
"94",
"102",
"105",
"106",
"107",
"110",
"115",
"119",
"127",
"138",
"141",
"142",
"154",
"155",
"159",
"161",
"165",
"170",
"186",
"187",
"191",
"210",
"213",
"214",
"217",
"230",
"231",
"235",
"238",
"253",
"254",
"255",
"265",
"282",
"310",
"318",
"321",
"322",
"329"
] |
[
"nonn"
] | 15 | 1 | 2 |
[
"A000203",
"A005105",
"A046528",
"A065333",
"A122254",
"A354355",
"A354356",
"A354357"
] | null |
Antti Karttunen, May 24 2022
| 2022-05-25T05:45:02 |
oeisdata/seq/A354/A354356.seq
|
44daa536b5afcab008be9416e90216df
|
A354357
|
Numbers k, not divisible by 2 or 3, such that sigma(k) is 3-smooth (has no larger prime factors than 3).
|
[
"1",
"5",
"7",
"11",
"17",
"23",
"31",
"35",
"47",
"53",
"55",
"71",
"77",
"85",
"107",
"115",
"119",
"127",
"155",
"161",
"187",
"191",
"217",
"235",
"253",
"265",
"329",
"341",
"355",
"371",
"383",
"385",
"391",
"431",
"497",
"517",
"527",
"535",
"583",
"595",
"635",
"647",
"713",
"749",
"781",
"799",
"805",
"863",
"889",
"901",
"935",
"955",
"971",
"1081",
"1085",
"1151",
"1177",
"1207",
"1219",
"1265",
"1309",
"1337",
"1397",
"1457",
"1633"
] |
[
"nonn"
] | 11 | 1 | 2 |
[
"A000203",
"A007310",
"A065333",
"A354202",
"A354356",
"A354357",
"A354361"
] | null |
Antti Karttunen, May 24 2022
| 2023-12-17T14:04:53 |
oeisdata/seq/A354/A354357.seq
|
9eab0d3590b65fff3c9f250063479ecb
|
A354358
|
Möbius transform of A124859.
|
[
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"24",
"4",
"1",
"1",
"4",
"1",
"1",
"1",
"180",
"1",
"4",
"1",
"4",
"1",
"1",
"1",
"24",
"4",
"1",
"24",
"4",
"1",
"1",
"1",
"2100",
"1",
"1",
"1",
"16",
"1",
"1",
"1",
"24",
"1",
"1",
"1",
"4",
"4",
"1",
"1",
"180",
"4",
"4",
"1",
"4",
"1",
"24",
"1",
"24",
"1",
"1",
"1",
"4",
"1",
"1",
"4",
"27720",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"96",
"1",
"1",
"4",
"4",
"1",
"1",
"1",
"180",
"180",
"1",
"1",
"4",
"1",
"1",
"1",
"24",
"1",
"4",
"1",
"4",
"1",
"1",
"1",
"2100"
] |
[
"nonn",
"mult"
] | 17 | 1 | 4 |
[
"A002110",
"A008683",
"A124859",
"A347379",
"A354358",
"A354359"
] | null |
Antti Karttunen, Jun 05 2022
| 2023-01-07T04:03:22 |
oeisdata/seq/A354/A354358.seq
|
eb9855c54b920dd492d4c1ba72dc2d82
|
A354359
|
Dirichlet inverse of A124859.
|
[
"1",
"-2",
"-2",
"-2",
"-2",
"4",
"-2",
"-14",
"-2",
"4",
"-2",
"4",
"-2",
"4",
"4",
"-110",
"-2",
"4",
"-2",
"4",
"4",
"4",
"-2",
"28",
"-2",
"4",
"-14",
"4",
"-2",
"-8",
"-2",
"-1526",
"4",
"4",
"4",
"4",
"-2",
"4",
"4",
"28",
"-2",
"-8",
"-2",
"4",
"4",
"4",
"-2",
"220",
"-2",
"4",
"4",
"4",
"-2",
"28",
"4",
"28",
"4",
"4",
"-2",
"-8",
"-2",
"4",
"4",
"-20858",
"4",
"-8",
"-2",
"4",
"4",
"-8",
"-2",
"28",
"-2",
"4",
"4",
"4",
"4",
"-8",
"-2",
"220",
"-110",
"4",
"-2",
"-8"
] |
[
"sign",
"mult"
] | 9 | 1 | 2 |
[
"A002110",
"A124859",
"A354186",
"A354349",
"A354351",
"A354358",
"A354359"
] | null |
Antti Karttunen, Jun 05 2022
| 2022-06-05T23:20:28 |
oeisdata/seq/A354/A354359.seq
|
ee002103e17ccac8001aa48a8e919f71
|
A354360
|
Positions of 1's in A354366.
|
[
"1",
"2",
"4",
"6",
"8",
"9",
"12",
"16",
"18",
"20",
"24",
"25",
"27",
"28",
"30",
"32",
"36",
"40",
"44",
"45",
"48",
"49",
"50",
"52",
"54",
"56",
"60",
"63",
"64",
"68",
"72",
"75",
"76",
"80",
"81",
"84",
"88",
"90",
"92",
"96",
"98",
"99",
"100",
"104",
"108",
"112",
"116",
"117",
"120",
"121",
"124",
"125",
"126",
"128",
"132",
"135",
"136",
"140",
"144",
"147",
"148",
"150",
"152",
"153",
"156",
"160",
"162",
"164",
"168",
"169",
"171",
"172",
"175"
] |
[
"nonn"
] | 4 | 1 | 2 |
[
"A354360",
"A354365",
"A354366"
] | null |
Antti Karttunen, Jun 07 2022
| 2022-06-08T10:18:26 |
oeisdata/seq/A354/A354360.seq
|
c4fa10814bc21beaff20453a49dfcf6b
|
A354361
|
Numbers k such that A354203(sigma(A354202(k))) = 1.
|
[
"1",
"2",
"3",
"6",
"7",
"13",
"14",
"19",
"21",
"23",
"26",
"38",
"39",
"41",
"42",
"43",
"46",
"57",
"67",
"69",
"78",
"82",
"86",
"91",
"103",
"107",
"114",
"123",
"129",
"133",
"134",
"138",
"161",
"179",
"182",
"201",
"206",
"214",
"246",
"247",
"258",
"266",
"273",
"287",
"299",
"301",
"309",
"321",
"322",
"358",
"379",
"399",
"402",
"419",
"437",
"469",
"483",
"494",
"533",
"537",
"546",
"559",
"574",
"598",
"602",
"618",
"642",
"643",
"721"
] |
[
"nonn"
] | 5 | 1 | 2 |
[
"A000203",
"A354202",
"A354203",
"A354206",
"A354357",
"A354361"
] | null |
Antti Karttunen, May 24 2022
| 2022-05-25T22:51:47 |
oeisdata/seq/A354/A354361.seq
|
5c5405b7da5ad1a8275b7c7a1305311c
|
A354362
|
Intersection of A228058 and A260021.
|
[
"45",
"49005",
"597861",
"715473",
"1538757",
"1891593",
"1893213",
"2714877",
"3067713",
"3890997",
"4126221",
"4479057",
"5302341",
"5465313",
"5793525",
"5890437",
"6008013",
"6478461",
"6596073",
"6882525",
"7184133",
"7419357",
"8595477",
"9771597",
"10712493",
"11300553",
"11771001",
"11888613",
"12123837",
"12947121",
"13535181",
"14240853",
"15887421",
"16240257",
"17181153"
] |
[
"nonn"
] | 5 | 1 | 1 |
[
"A228058",
"A260021",
"A353679",
"A354106",
"A354362"
] | null |
Antti Karttunen, May 24 2022
| 2022-05-24T16:36:55 |
oeisdata/seq/A354/A354362.seq
|
a048da37cd1c3f9fa1d40381715e6825
|
A354363
|
a(n) = LCM_{p^e||n} (q^(e+1)-1)/(q-1), when n = Product_{p^e||n}, with each p^e the maximal power of prime p that divides n, and q = nextPrime(p).
|
[
"1",
"4",
"6",
"13",
"8",
"12",
"12",
"40",
"31",
"8",
"14",
"78",
"18",
"12",
"24",
"121",
"20",
"124",
"24",
"104",
"12",
"28",
"30",
"120",
"57",
"36",
"156",
"156",
"32",
"24",
"38",
"364",
"42",
"20",
"24",
"403",
"42",
"24",
"18",
"40",
"44",
"12",
"48",
"182",
"248",
"60",
"54",
"726",
"133",
"228",
"60",
"234",
"60",
"156",
"56",
"120",
"24",
"32",
"62",
"312",
"68",
"76",
"372",
"1093",
"72",
"84",
"72",
"260",
"30",
"24",
"74",
"1240",
"80",
"84"
] |
[
"nonn"
] | 15 | 1 | 2 |
[
"A003961",
"A003973",
"A151800",
"A353783",
"A354363",
"A354364"
] | null |
Antti Karttunen, May 30 2022
| 2022-06-02T14:48:20 |
oeisdata/seq/A354/A354363.seq
|
467a613f39dd6240e2d1dda99de25539
|
A354364
|
a(n) = A003973(n) / A354363(n).
|
[
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"4",
"2",
"1",
"1",
"1",
"1",
"1",
"6",
"2",
"1",
"2",
"1",
"2",
"1",
"1",
"1",
"8",
"1",
"1",
"2",
"4",
"4",
"1",
"1",
"4",
"6",
"8",
"1",
"24",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"4",
"2",
"4",
"6",
"4",
"1",
"2",
"1",
"2",
"1",
"1",
"2",
"4",
"1",
"1",
"6",
"16",
"1",
"1",
"1",
"2",
"3",
"1",
"2",
"12",
"1",
"1",
"1",
"4",
"1",
"6",
"4",
"4",
"2",
"2",
"1",
"4",
"6",
"1",
"2",
"2",
"8",
"2",
"1",
"1",
"1",
"1",
"1",
"8",
"1",
"2",
"24"
] |
[
"nonn"
] | 10 | 1 | 6 |
[
"A003961",
"A003973",
"A353784",
"A354363",
"A354364"
] | null |
Antti Karttunen, May 30 2022
| 2022-06-02T14:48:26 |
oeisdata/seq/A354/A354364.seq
|
e486ef2a32c6de3a5536e5e184e67d6b
|
A354365
|
Numerators of Dirichlet inverse of primorial deflation fraction A319626(n) / A319627(n).
|
[
"1",
"-2",
"-3",
"0",
"-5",
"3",
"-7",
"0",
"0",
"10",
"-11",
"0",
"-13",
"14",
"5",
"0",
"-17",
"0",
"-19",
"0",
"21",
"22",
"-23",
"0",
"0",
"26",
"0",
"0",
"-29",
"-5",
"-31",
"0",
"33",
"34",
"7",
"0",
"-37",
"38",
"39",
"0",
"-41",
"-21",
"-43",
"0",
"0",
"46",
"-47",
"0",
"0",
"0",
"51",
"0",
"-53",
"0",
"55",
"0",
"57",
"58",
"-59",
"0",
"-61",
"62",
"0",
"0",
"65",
"-33",
"-67",
"0",
"69",
"-14",
"-71",
"0",
"-73",
"74",
"0",
"0",
"11",
"-39",
"-79",
"0",
"0",
"82"
] |
[
"sign",
"frac"
] | 16 | 1 | 2 |
[
"A013929",
"A055615",
"A319626",
"A319627",
"A349629",
"A354350",
"A354351",
"A354365",
"A354366",
"A354827"
] | null |
Antti Karttunen, Jun 07 2022
| 2022-06-08T10:18:32 |
oeisdata/seq/A354/A354365.seq
|
a40b1b8e790cd75b535ebdb94baa42bf
|
A354366
|
Denominators of Dirichlet inverse of primorial deflation fraction A319626(n) / A319627(n).
|
[
"1",
"1",
"2",
"1",
"3",
"1",
"5",
"1",
"1",
"3",
"7",
"1",
"11",
"5",
"2",
"1",
"13",
"1",
"17",
"1",
"10",
"7",
"19",
"1",
"1",
"11",
"1",
"1",
"23",
"1",
"29",
"1",
"14",
"13",
"3",
"1",
"31",
"17",
"22",
"1",
"37",
"5",
"41",
"1",
"1",
"19",
"43",
"1",
"1",
"1",
"26",
"1",
"47",
"1",
"21",
"1",
"34",
"23",
"53",
"1",
"59",
"29",
"1",
"1",
"33",
"7",
"61",
"1",
"38",
"3",
"67",
"1",
"71",
"31",
"1",
"1",
"5",
"11",
"73",
"1",
"1",
"37",
"79",
"1",
"39",
"41",
"46",
"1",
"83",
"1",
"55",
"1",
"58"
] |
[
"nonn",
"frac"
] | 11 | 1 | 3 |
[
"A055615",
"A064989",
"A319626",
"A319627",
"A349630",
"A354360",
"A354365",
"A354366"
] | null |
Antti Karttunen, Jun 07 2022
| 2022-06-08T10:18:38 |
oeisdata/seq/A354/A354366.seq
|
74f05f4defd7430c1864b62eeef707c2
|
A354367
|
Successive pairs of terms (a, b) such that (a + b) is a square and at least one of a and b is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 0 with this property.
|
[
"1",
"3",
"2",
"7",
"4",
"5",
"6",
"19",
"8",
"17",
"10",
"71",
"11",
"14",
"12",
"13",
"15",
"181",
"18",
"31",
"20",
"29",
"21",
"43",
"22",
"59",
"23",
"26",
"24",
"97",
"27",
"37",
"28",
"53",
"30",
"139",
"32",
"89",
"33",
"67",
"34",
"47",
"35",
"109",
"38",
"83",
"39",
"61",
"40",
"41",
"42",
"79",
"44",
"317",
"45",
"151",
"46",
"179",
"48",
"73",
"50",
"239",
"51",
"349",
"52",
"173",
"54",
"307",
"55",
"269",
"56",
"113",
"57",
"199",
"58"
] |
[
"nonn"
] | 12 | 1 | 2 |
[
"A354367",
"A354368",
"A354369",
"A354370"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:01:52 |
oeisdata/seq/A354/A354367.seq
|
75919e79e337d20b9540b41ea13c7b3c
|
A354368
|
Successive pairs of terms (a, b) such that (a + b) is a square and at least one of a and b is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 0 with this property.
|
[
"2",
"7",
"3",
"13",
"5",
"11",
"17",
"19",
"23",
"41",
"29",
"71",
"31",
"113",
"37",
"107",
"43",
"101",
"47",
"53",
"59",
"137",
"61",
"83",
"67",
"257",
"73",
"251",
"79",
"821",
"89",
"167",
"97",
"227",
"103",
"797",
"109",
"467",
"127",
"197",
"131",
"193",
"139",
"761",
"149",
"751",
"151",
"173",
"157",
"419",
"163",
"1601",
"179",
"397",
"181",
"719",
"191",
"293",
"199",
"701",
"211",
"1553",
"223",
"353",
"229",
"347"
] |
[
"nonn"
] | 20 | 1 | 1 |
[
"A354367",
"A354368",
"A354369",
"A354370"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2025-07-01T08:58:07 |
oeisdata/seq/A354/A354368.seq
|
73523756fbd38de2728e0ce229caf715
|
A354369
|
Successive pairs of terms (a, b) such that (a + b) is a prime number and at least one of a and b is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 0 with this property.
|
[
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"10",
"8",
"11",
"12",
"17",
"13",
"16",
"14",
"23",
"18",
"19",
"20",
"41",
"22",
"31",
"24",
"29",
"26",
"47",
"28",
"43",
"30",
"37",
"32",
"71",
"34",
"67",
"36",
"53",
"38",
"59",
"40",
"61",
"42",
"89",
"44",
"83",
"46",
"103",
"48",
"79",
"50",
"101",
"52",
"97",
"54",
"73",
"56",
"107",
"58",
"109",
"60",
"113",
"62",
"131",
"64",
"127",
"66",
"157",
"68",
"173",
"70",
"163",
"72",
"139",
"74",
"137"
] |
[
"nonn"
] | 17 | 1 | 2 |
[
"A071904",
"A354367",
"A354368",
"A354369",
"A354370"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:02:09 |
oeisdata/seq/A354/A354369.seq
|
021e29ed3c7884099911799dd621f2a5
|
A354370
|
Successive pairs of terms (i, j) such that (i + j) is a prime number and at least i is a prime number. This is the lexicographically earliest infinite sequence of distinct terms > 1 with this property.
|
[
"2",
"3",
"5",
"6",
"7",
"4",
"11",
"8",
"13",
"10",
"17",
"12",
"19",
"18",
"23",
"14",
"29",
"24",
"31",
"16",
"37",
"22",
"41",
"20",
"43",
"28",
"47",
"26",
"53",
"30",
"59",
"38",
"61",
"36",
"67",
"34",
"71",
"32",
"73",
"40",
"79",
"48",
"83",
"44",
"89",
"42",
"97",
"52",
"101",
"50",
"103",
"46",
"107",
"56",
"109",
"54",
"113",
"60",
"127",
"64",
"131",
"62",
"137",
"74",
"139",
"58",
"149",
"78",
"151",
"72",
"157",
"66",
"163",
"70"
] |
[
"nonn"
] | 23 | 1 | 1 |
[
"A014076",
"A354367",
"A354368",
"A354369",
"A354370"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:03:11 |
oeisdata/seq/A354/A354370.seq
|
036c72cc242a14579dd7ee3a11d41922
|
A354371
|
Square array read by antidiagonals such that the sum of the digits inside any 2 X 2 square is itself a square.
|
[
"1",
"2",
"3",
"4",
"12",
"5",
"6",
"7",
"14",
"11",
"16",
"8",
"10",
"13",
"17",
"19",
"22",
"9",
"15",
"20",
"26",
"27",
"69",
"31",
"18",
"40",
"34",
"32",
"42",
"78",
"49",
"21",
"24",
"30",
"41",
"43",
"46",
"51",
"33",
"23",
"25",
"39",
"37",
"44",
"64",
"68",
"59",
"54",
"48",
"28",
"29",
"38",
"58",
"74",
"70",
"72",
"92",
"52",
"63",
"36",
"35",
"87",
"101",
"98",
"80",
"82",
"84",
"177",
"121",
"65",
"60",
"45",
"96",
"53",
"103",
"76"
] |
[
"tabl",
"nonn"
] | 15 | 1 | 2 |
[
"A325785",
"A354371"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:03:44 |
oeisdata/seq/A354/A354371.seq
|
e26e72f3e9d5f36b56a62bb861b0aa0d
|
A354372
|
Square spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the digits of the four integers forming any 2 X 2 square add up to a square.
|
[
"0",
"1",
"2",
"6",
"3",
"7",
"4",
"5",
"12",
"8",
"13",
"9",
"10",
"22",
"31",
"21",
"11",
"17",
"16",
"25",
"14",
"18",
"34",
"19",
"40",
"15",
"43",
"24",
"33",
"27",
"20",
"49",
"52",
"28",
"26",
"30",
"23",
"42",
"36",
"39",
"37",
"59",
"29",
"51",
"32",
"69",
"89",
"41",
"46",
"35",
"48",
"38",
"57",
"66",
"45",
"50",
"44",
"55",
"47",
"99",
"68",
"98",
"53",
"54",
"56",
"65",
"77",
"61",
"62",
"60",
"105",
"104",
"58",
"70",
"75",
"67",
"79"
] |
[
"base",
"nonn"
] | 9 | 1 | 3 |
[
"A337115",
"A337116",
"A337117",
"A337368",
"A354372"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:03:58 |
oeisdata/seq/A354/A354372.seq
|
a64153c6979a6873e69604dd7c1ac2ca
|
A354373
|
Square spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the digits of the four integers forming any 2 X 2 square add up to a prime.
|
[
"0",
"1",
"2",
"4",
"3",
"6",
"5",
"8",
"11",
"7",
"9",
"10",
"12",
"14",
"15",
"13",
"16",
"18",
"23",
"21",
"17",
"25",
"27",
"19",
"22",
"20",
"24",
"34",
"33",
"30",
"26",
"32",
"28",
"35",
"29",
"36",
"31",
"38",
"37",
"41",
"40",
"44",
"39",
"45",
"43",
"42",
"48",
"47",
"51",
"46",
"49",
"53",
"55",
"59",
"60",
"57",
"50",
"66",
"75",
"64",
"54",
"58",
"62",
"71",
"52",
"73",
"79",
"82",
"84",
"80",
"56",
"88",
"61",
"93",
"68",
"65",
"67",
"91"
] |
[
"base",
"nonn"
] | 7 | 1 | 3 |
[
"A337115",
"A337116",
"A337117",
"A337368",
"A354372",
"A354373"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:04:07 |
oeisdata/seq/A354/A354373.seq
|
4d4d1ecf365b29c60b4ffd9159ba1406
|
A354374
|
Square spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the digits of the four integers forming any 2 X 2 square add up to a prime and those sums themselves form another infinite 2D square lattice with the same property.
|
[
"0",
"1",
"2",
"4",
"3",
"6",
"5",
"8",
"11",
"7",
"9",
"10",
"12",
"14",
"17",
"13",
"15",
"19",
"39",
"24",
"16",
"23",
"29",
"5999",
"33",
"18",
"25",
"42",
"69",
"699",
"20",
"26",
"21",
"999",
"299",
"599",
"22",
"28",
"30",
"31",
"34",
"38",
"27",
"37",
"36",
"40",
"59",
"4999",
"43",
"32",
"35",
"41",
"49",
"102",
"47",
"69999",
"44",
"45",
"48",
"99",
"58",
"52",
"111",
"689",
"46",
"51",
"698",
"79999",
"9999999",
"50",
"68"
] |
[
"base",
"nonn"
] | 7 | 1 | 3 |
[
"A337115",
"A337116",
"A337117",
"A337368",
"A354372",
"A354373",
"A354374",
"A354375"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:04:18 |
oeisdata/seq/A354/A354374.seq
|
c8d7260a615aa0f046476dc352c4da14
|
A354375
|
Square spiral on a 2D square lattice, one term per cell, starting at the origin with 0; the digits of the four integers forming any 2 X 2 square add up to a square and those sums themselves form another infinite 2D square lattice with the same property.
|
[
"0",
"1",
"2",
"6",
"3",
"999",
"4",
"5",
"12",
"7",
"799",
"8",
"9",
"89",
"29",
"79",
"10",
"88",
"8999",
"69",
"11",
"78",
"39",
"97",
"19",
"13",
"87",
"7999",
"59",
"14",
"15",
"169",
"39999",
"68",
"49999",
"699",
"16",
"22",
"96",
"159",
"178",
"21",
"17",
"599",
"59999",
"49",
"58999",
"168",
"25",
"18",
"187",
"100",
"4999",
"20",
"177",
"28",
"23",
"186",
"89999",
"99999",
"199999",
"98999",
"9999",
"77",
"24",
"27"
] |
[
"nonn",
"base"
] | 9 | 1 | 3 |
[
"A337115",
"A337116",
"A337117",
"A337368",
"A354372",
"A354373",
"A354374",
"A354375"
] | null |
Eric Angelini and Carole Dubois, May 24 2022
| 2022-06-25T22:04:28 |
oeisdata/seq/A354/A354375.seq
|
a9525533984c1f3f595b45715774a827
|
A354376
|
Smallest prime which is at the end of an arithmetic progression of exactly n primes.
|
[
"2",
"3",
"7",
"43",
"29",
"157",
"907",
"2351",
"5179",
"2089",
"375607",
"262897",
"725663",
"36850999",
"173471351",
"198793279",
"4827507229",
"17010526363",
"83547839407",
"572945039351",
"6269243827111"
] |
[
"nonn",
"more"
] | 53 | 1 | 1 |
[
"A005115",
"A006560",
"A093364",
"A354376",
"A354377",
"A354484",
"A354485"
] | null |
Bernard Schott, May 24 2022
| 2022-05-29T08:08:45 |
oeisdata/seq/A354/A354376.seq
|
80a81aa07e764e1d14e1da81d080a28f
|
A354377
|
Initial terms associated with the arithmetic progressions of primes of A354376.
|
[
"2",
"2",
"3",
"7",
"5",
"7",
"7",
"881",
"3499",
"199",
"75307",
"110437",
"4943",
"31385539",
"115453391",
"53297929",
"3430751869",
"4808316343",
"8297644387",
"214861583621",
"5749146449311"
] |
[
"nonn",
"more"
] | 16 | 1 | 1 |
[
"A006560",
"A113827",
"A354376",
"A354377"
] | null |
Bernard Schott, May 26 2022
| 2022-05-27T08:12:59 |
oeisdata/seq/A354/A354377.seq
|
d75bd79c4adfffb246dcd0f47bada486
|
A354378
|
a(n) is the denominator of Sum_{k=0..n} (-1)^k / (2*k)!.
|
[
"1",
"2",
"24",
"720",
"8064",
"3628800",
"479001600",
"87178291200",
"20922789888000",
"1280474741145600",
"2432902008176640000",
"1124000727777607680000",
"620448401733239439360000",
"403291461126605635584000000",
"60977668922342772100300800000",
"1569543549184562477137920000000"
] |
[
"nonn",
"frac"
] | 7 | 0 | 2 |
[
"A010050",
"A049470",
"A053556",
"A061355",
"A143383",
"A354138",
"A354331",
"A354333",
"A354335",
"A354378"
] | null |
Ilya Gutkovskiy, May 24 2022
| 2022-05-25T09:08:14 |
oeisdata/seq/A354/A354378.seq
|
2a7bdec37b2be1232d9b13b3e39fc452
|
A354379
|
Hypotenuses of Pythagorean triangles whose legs are also hypotenuse numbers (A009003).
|
[
"25",
"50",
"65",
"75",
"85",
"89",
"100",
"109",
"125",
"130",
"145",
"149",
"150",
"169",
"170",
"173",
"175",
"178",
"185",
"195",
"200",
"205",
"218",
"221",
"225",
"229",
"233",
"250",
"255",
"260",
"265",
"267",
"275",
"289",
"290",
"293",
"298",
"300",
"305",
"313",
"325",
"327",
"338",
"340",
"346",
"349",
"350",
"353",
"356",
"365",
"370",
"375",
"377",
"390",
"400"
] |
[
"nonn"
] | 15 | 1 | 1 |
[
"A004613",
"A008846",
"A009003",
"A020882",
"A354379",
"A354381"
] | null |
Lamine Ngom, May 24 2022
| 2023-05-11T09:11:19 |
oeisdata/seq/A354/A354379.seq
|
cb2b16bb55fc1f69f2b343344d94f503
|
A354380
|
Number of free pseudo-polytans with n cells.
|
[
"1",
"10",
"91",
"1432",
"23547",
"416177",
"7544247",
"139666895",
"2623895224"
] |
[
"nonn",
"hard",
"more"
] | 7 | 1 | 2 |
[
"A000105",
"A006074",
"A030222",
"A354380"
] | null |
Aaron N. Siegel, May 24 2022
| 2022-05-25T11:48:07 |
oeisdata/seq/A354/A354380.seq
|
1eeb366ea13a06dca3a726125d627f29
|
A354381
|
Primitive elements in A354379, being those not divisible by any previous term.
|
[
"25",
"65",
"85",
"89",
"109",
"145",
"149",
"169",
"173",
"185",
"205",
"221",
"229",
"233",
"265",
"289",
"293",
"305",
"313",
"349",
"353",
"365",
"377",
"409",
"421",
"433",
"449",
"461",
"481",
"485",
"493",
"505",
"509",
"533",
"565",
"601",
"613",
"629",
"641",
"653",
"677",
"685",
"689",
"697",
"709",
"757",
"761",
"769",
"773",
"785",
"793",
"797",
"821",
"829",
"841",
"857",
"877",
"881",
"901",
"905"
] |
[
"nonn"
] | 26 | 1 | 1 |
[
"A004613",
"A008846",
"A009003",
"A020882",
"A354379",
"A354381"
] | null |
Lamine Ngom, May 24 2022
| 2023-05-11T09:15:31 |
oeisdata/seq/A354/A354381.seq
|
5d5477cdce16fc354fb7b2684c2fc3fb
|
A354382
|
Number of free pseudo-polyarcs with n cells.
|
[
"2",
"32",
"700",
"21943",
"737164",
"25959013",
"938559884"
] |
[
"nonn",
"hard",
"more"
] | 8 | 1 | 1 |
[
"A000105",
"A006074",
"A030222",
"A057787",
"A354380",
"A354382"
] | null |
Aaron N. Siegel, May 24 2022
| 2022-05-25T11:49:06 |
oeisdata/seq/A354/A354382.seq
|
0e14c816f71967c530b35871e03a58b8
|
A354383
|
Fibonacci sequence beginning 11, 26.
|
[
"11",
"26",
"37",
"63",
"100",
"163",
"263",
"426",
"689",
"1115",
"1804",
"2919",
"4723",
"7642",
"12365",
"20007",
"32372",
"52379",
"84751",
"137130",
"221881",
"359011",
"580892",
"939903",
"1520795",
"2460698",
"3981493",
"6442191",
"10423684",
"16865875",
"27289559",
"44155434",
"71444993",
"115600427",
"187045420"
] |
[
"nonn",
"easy"
] | 54 | 0 | 1 |
[
"A000032",
"A000045",
"A354383"
] | null |
Aamen Muharram, Aug 04 2022
| 2022-08-07T16:00:45 |
oeisdata/seq/A354/A354383.seq
|
1b11d69b3fe53163e57a0d99ec8e2a80
|
A354384
|
Difference sequence of A356133.
|
[
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"3",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"3",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"3",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"3",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"3",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"3",
"2",
"3",
"4",
"2",
"4",
"3",
"2",
"4",
"2",
"3",
"4",
"2",
"4",
"3"
] |
[
"nonn",
"easy"
] | 19 | 1 | 1 |
[
"A026430",
"A036554",
"A091855",
"A354384",
"A356133"
] | null |
Clark Kimberling, Aug 04 2022
| 2022-08-06T08:08:06 |
oeisdata/seq/A354/A354384.seq
|
9bd9d4df1a28bebd513b200f23d39f6a
|
A354385
|
a(n) is the smallest odd number that has n middle divisors.
|
[
"1",
"15",
"1225",
"2145",
"99225",
"17955",
"893025",
"51975",
"4601025",
"315315",
"16769025",
"855855",
"12006225",
"2567565",
"108056025",
"6531525",
"385533225",
"11486475",
"225450225",
"16787925",
"1329696225",
"38513475",
"2701400625",
"77702625",
"6053618025",
"80405325",
"4846248225",
"101846745",
"2029052025",
"218243025"
] |
[
"nonn"
] | 61 | 1 | 2 |
[
"A016754",
"A067742",
"A128605",
"A235791",
"A237048",
"A237593",
"A245092",
"A249223",
"A319529",
"A320137",
"A354385"
] | null |
Hartmut F. W. Hoft, May 24 2022
| 2024-03-22T19:00:23 |
oeisdata/seq/A354/A354385.seq
|
2461ddc3d44eb084ded6b65345dc5d97
|
A354386
|
a(n) is the first prime that is the start of a sequence of exactly n primes under the map p -> p + A001414(p-1) + A001414(p+1).
|
[
"3",
"2",
"337",
"2633",
"14143",
"6108437",
"373777931"
] |
[
"nonn",
"more"
] | 11 | 1 | 1 |
[
"A001414",
"A127305",
"A354386"
] | null |
J. M. Bergot and Robert Israel, May 24 2022
| 2022-05-30T10:30:32 |
oeisdata/seq/A354/A354386.seq
|
662db136b91a5dc88fd8fabf4d56f432
|
A354387
|
a(n) is the number of arch configuration solutions with n arches derived from 2 concentric arches using the exterior arch splitting algorithm.
|
[
"1",
"1",
"3",
"6",
"18",
"42",
"130",
"332",
"1048",
"2836",
"9078",
"25578",
"82730",
"240124",
"782956",
"2324800"
] |
[
"nonn",
"more"
] | 41 | 2 | 3 |
[
"A000682",
"A287548",
"A331499",
"A339179",
"A354387"
] | null |
Roger Ford, May 24 2022
| 2022-08-31T02:42:49 |
oeisdata/seq/A354/A354387.seq
|
c7af6ccfadd07830e21108e0b0967650
|
A354388
|
Table read upward by antidiagonals: the n-th row gives the sums of each weakly decreasing nonnegative integer sequence of length n, listed in lexicographic order.
|
[
"0",
"0",
"1",
"0",
"1",
"2",
"0",
"1",
"2",
"3",
"0",
"1",
"2",
"2",
"4",
"0",
"1",
"2",
"3",
"3",
"5",
"0",
"1",
"2",
"3",
"2",
"4",
"6",
"0",
"1",
"2",
"3",
"4",
"3",
"3",
"7",
"0",
"1",
"2",
"3",
"4",
"2",
"4",
"4",
"8",
"0",
"1",
"2",
"3",
"4",
"5",
"3",
"4",
"5",
"9",
"0",
"1",
"2",
"3",
"4",
"5",
"2",
"4",
"5",
"6",
"10",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"3",
"5",
"6",
"4",
"11",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"2"
] |
[
"nonn",
"tabl"
] | 18 | 1 | 6 |
[
"A001477",
"A051162",
"A070770",
"A070771",
"A070772",
"A354388"
] | null |
Peter Kagey, May 24 2022
| 2022-06-13T18:09:00 |
oeisdata/seq/A354/A354388.seq
|
57f0d4a19bc15a6f9d3088ebab6017a5
|
A354389
|
Expansion of e.g.f. 1/(1 + log(1 + x)^2 / 2).
|
[
"1",
"0",
"-1",
"3",
"-5",
"-10",
"146",
"-756",
"1086",
"23400",
"-300066",
"1855590",
"341826",
"-165915828",
"2158958556",
"-10006622640",
"-172337345496",
"4941605486016",
"-64365944851512",
"339328464492456",
"5510899593823176",
"-157099566384759600",
"1059259019507498160",
"41957473280879898720"
] |
[
"sign"
] | 10 | 0 | 4 |
[
"A346921",
"A354317",
"A354389",
"A354390",
"A354391"
] | null |
Seiichi Manyama, May 25 2022
| 2024-12-08T10:48:32 |
oeisdata/seq/A354/A354389.seq
|
dbe4080f57cbbe1b74a98070fa81b2dc
|
A354390
|
Expansion of e.g.f. 1/(1 + log(1 + x)^4 / 24).
|
[
"1",
"0",
"0",
"0",
"-1",
"10",
"-85",
"735",
"-6699",
"64764",
"-662780",
"7139000",
"-80273116",
"931853208",
"-10990479136",
"128253707400",
"-1402525474414",
"12224484229744",
"-9767136488568",
"-3662083220408136",
"144120068237692294",
"-4329792070579951500",
"118808185600297890950"
] |
[
"sign"
] | 9 | 0 | 6 |
[
"A346923",
"A354318",
"A354389",
"A354390",
"A354393"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:16 |
oeisdata/seq/A354/A354390.seq
|
fc1f411dfac83c9baaa3610c504d76c8
|
A354391
|
Expansion of e.g.f. 1/(1 + (exp(x) - 1)^2 / 2).
|
[
"1",
"0",
"-1",
"-3",
"-1",
"45",
"269",
"147",
"-11341",
"-101055",
"-73711",
"8420247",
"99423719",
"87623445",
"-13791067291",
"-202300002453",
"-202683482821",
"42194985241545",
"738185254885529",
"805294804942047",
"-216422419200618961",
"-4390167368672158755",
"-5040372451183319251"
] |
[
"sign"
] | 10 | 0 | 4 |
[
"A330047",
"A354389",
"A354391",
"A354392",
"A354393",
"A354394",
"A354395"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:21 |
oeisdata/seq/A354/A354391.seq
|
91fe0e2b3d1c751028d42a3af0200dba
|
A354392
|
Expansion of e.g.f. 1/(1 + (exp(x) - 1)^3 / 6).
|
[
"1",
"0",
"0",
"-1",
"-6",
"-25",
"-70",
"119",
"4354",
"48215",
"371610",
"1620839",
"-10665886",
"-388969945",
"-6114636710",
"-65181228841",
"-325375497726",
"5950049261495",
"226564100074970",
"4447402833379079",
"57902620204276834",
"258292327155958535",
"-12701483290229413350"
] |
[
"sign"
] | 10 | 0 | 5 |
[
"A346894",
"A346922",
"A354391",
"A354392",
"A354393",
"A354394"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:25 |
oeisdata/seq/A354/A354392.seq
|
8ec79f5c3117789ed758b02e916a209d
|
A354393
|
Expansion of e.g.f. 1/(1 + (exp(x) - 1)^4 / 24).
|
[
"1",
"0",
"0",
"0",
"-1",
"-10",
"-65",
"-350",
"-1631",
"-5250",
"18395",
"685850",
"10485739",
"127737610",
"1336804105",
"11432407350",
"54280609109",
"-712071643930",
"-29671691715185",
"-660215774400350",
"-11770593620859521",
"-176475952496559870",
"-2055362595355830475",
"-9749893741512339250"
] |
[
"sign"
] | 16 | 0 | 6 |
[
"A346895",
"A354390",
"A354391",
"A354392",
"A354393",
"A354394",
"A354397"
] | null |
Seiichi Manyama, May 25 2022
| 2023-02-26T12:54:54 |
oeisdata/seq/A354/A354393.seq
|
723af8c62cb98c0b9818147cf3232847
|
A354394
|
Expansion of e.g.f. 1/(1 + (exp(x) - 1)^5 / 120).
|
[
"1",
"0",
"0",
"0",
"0",
"-1",
"-15",
"-140",
"-1050",
"-6951",
"-42273",
"-232870",
"-949740",
"2401399",
"149618469",
"2979464124",
"47639256210",
"683529622229",
"9045426379611",
"109599657976942",
"1148191101672384",
"8033814119097459",
"-50834295574038207",
"-3977581842278623216",
"-119536187842156328034"
] |
[
"sign"
] | 10 | 0 | 7 |
[
"A346896",
"A346924",
"A354391",
"A354392",
"A354393",
"A354394",
"A354398"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:34 |
oeisdata/seq/A354/A354394.seq
|
56c47b4fc5916f9cd234f30ec8e587fa
|
A354395
|
Expansion of e.g.f. exp( -(exp(x) - 1)^2 / 2 ).
|
[
"1",
"0",
"-1",
"-3",
"-4",
"15",
"149",
"672",
"1091",
"-12855",
"-162796",
"-1060653",
"-2925319",
"30881760",
"598929239",
"5688937797",
"29126981516",
"-112222099065",
"-4930674413971",
"-69798552313728",
"-598032658869829",
"-1296500625378255",
"65193402297999524",
"1515140106814565547"
] |
[
"sign"
] | 11 | 0 | 4 |
[
"A000587",
"A060311",
"A354391",
"A354395",
"A354396",
"A354397",
"A354398"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:38 |
oeisdata/seq/A354/A354395.seq
|
81f6b64eb525652b7e37051a02f27b61
|
A354396
|
Expansion of e.g.f. exp( -(exp(x) - 1)^3 / 6 ).
|
[
"1",
"0",
"0",
"-1",
"-6",
"-25",
"-80",
"-91",
"1694",
"23155",
"206340",
"1442969",
"6928394",
"-6507865",
"-752409840",
"-12953182971",
"-160186016906",
"-1548849362085",
"-9789241693220",
"28359195353489",
"2378650585685794",
"52832659521004495",
"855581150441210600",
"10878338100191146749"
] |
[
"sign"
] | 13 | 0 | 5 |
[
"A000587",
"A327504",
"A354392",
"A354395",
"A354396",
"A354397",
"A354398"
] | null |
Seiichi Manyama, May 25 2022
| 2023-12-02T11:58:54 |
oeisdata/seq/A354/A354396.seq
|
26d326773eced0ae3971dfc5b7a3ed9b
|
A354397
|
Expansion of e.g.f. exp( -(exp(x) - 1)^4 / 24 ).
|
[
"1",
"0",
"0",
"0",
"-1",
"-10",
"-65",
"-350",
"-1666",
"-6510",
"-7855",
"270050",
"4948669",
"63503440",
"702095030",
"6924754200",
"58870214129",
"356043924590",
"-615569993285",
"-74306502570650",
"-1783956267419536",
"-32695418069393310",
"-520090808927130925",
"-7317310078355307250",
"-87056749651694635451"
] |
[
"sign"
] | 12 | 0 | 6 |
[
"A000587",
"A327505",
"A354393",
"A354395",
"A354396",
"A354397",
"A354398"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:47 |
oeisdata/seq/A354/A354397.seq
|
61fc93787ddc08c9601b33c9e64637f7
|
A354398
|
Expansion of e.g.f. exp( -(exp(x) - 1)^5 / 120 ).
|
[
"1",
"0",
"0",
"0",
"0",
"-1",
"-15",
"-140",
"-1050",
"-6951",
"-42399",
"-239800",
"-1164570",
"-2553551",
"54771717",
"1384600854",
"23301803070",
"340911045929",
"4600861076433",
"58236569430172",
"687816515641206",
"7315220762286129",
"61629305427537309",
"140107851269900954",
"-11001310744922517426"
] |
[
"sign"
] | 13 | 0 | 7 |
[
"A000587",
"A327506",
"A346977",
"A354394",
"A354395",
"A354396",
"A354397",
"A354398"
] | null |
Seiichi Manyama, May 25 2022
| 2022-05-25T09:15:53 |
oeisdata/seq/A354/A354398.seq
|
211178a13de32a9a7d36dea4249cb9b9
|
A354399
|
List of k such that sign(A009273(k)) = sign(A009273(k+1)).
|
[
"0",
"1",
"5",
"12",
"21",
"33",
"47",
"64",
"83",
"105",
"129",
"155",
"184",
"216",
"250",
"286",
"325",
"366",
"410",
"456",
"505",
"556",
"610",
"666",
"725",
"786",
"849",
"915",
"984",
"1055",
"1128",
"1204",
"1282",
"1363",
"1446",
"1532",
"1620",
"1711",
"1804",
"1900",
"1998",
"2098",
"2201",
"2307",
"2415",
"2525",
"2638",
"2753",
"2871",
"2991",
"3114",
"3239",
"3367",
"3497",
"3630",
"3765",
"3903",
"4043",
"4185",
"4330",
"4477",
"4627",
"4780",
"4935"
] |
[
"nonn"
] | 14 | 1 | 3 |
[
"A009273",
"A354246",
"A354399",
"A354425"
] | null |
Vaclav Kotesovec, May 25 2022
| 2025-03-22T19:04:06 |
oeisdata/seq/A354/A354399.seq
|
0043caf948139a314c18200639f61d26
|
A354400
|
Replace the nonprimes in the prime gaps with primes. See Comments section for details.
|
[
"2",
"3",
"5",
"11",
"11",
"19",
"17",
"29",
"41",
"29",
"59",
"63",
"41",
"77",
"95",
"113",
"59",
"141",
"129",
"71",
"173",
"161",
"203",
"225",
"203",
"101",
"221",
"107",
"231",
"311",
"269",
"335",
"137",
"375",
"149",
"391",
"417",
"357",
"455",
"473",
"179",
"525",
"191",
"411",
"197",
"585",
"645",
"485",
"227",
"503",
"645",
"239",
"741",
"699",
"729",
"755",
"269",
"783"
] |
[
"nonn"
] | 11 | 1 | 1 |
[
"A000040",
"A018252",
"A354400"
] | null |
Tamas Sandor Nagy, May 25 2022
| 2022-07-18T19:20:49 |
oeisdata/seq/A354/A354400.seq
|
dfa4531928efc08496c201e74301a17b
|
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