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
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|
A356901 | a(n) = (2*n)! * [x^(2*n)] arctan(x / sqrt(2))^2. | [
"0",
"1",
"-4",
"46",
"-1056",
"40536",
"-2342880",
"190229040",
"-20655129600",
"2890827273600",
"-506836099929600",
"108811461852576000",
"-28078128329061888000",
"8574915159297970560000",
"-3059025135601894018560000",
"1260573112806548772591360000",
"-594261372327243392714342400000"
]
| [
"sign"
]
| 4 | 0 | 3 | null | null | Peter Luschny, Sep 03 2022 | 2022-09-15T06:35:28 | oeisdata/seq/A356/A356901.seq | 3e5c93580a0d586e5c78c6e48483e064 |
A356902 | E.g.f. satisfies A(x) * log(A(x)) = x * (exp(x) - 1). | [
"1",
"0",
"2",
"3",
"-8",
"-55",
"276",
"4417",
"-13488",
"-639567",
"-248300",
"141842921",
"797525400",
"-43103642855",
"-584650622724",
"16366430341185",
"436555007091616",
"-6909610676492959",
"-368240758971238620",
"2371795171252419385",
"354876368637537736680",
"1050192150132691993161"
]
| [
"sign"
]
| 21 | 0 | 3 | [
"A349583",
"A355843",
"A356797",
"A356798",
"A356902",
"A356904"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356902.seq | 5255f19422169f70621b81e7a6514979 |
A356903 | a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number not occurring earlier such that a(n) is coprime to the previous tau(a(n)) terms. | [
"1",
"2",
"3",
"5",
"7",
"4",
"9",
"11",
"13",
"17",
"8",
"15",
"19",
"23",
"29",
"14",
"25",
"27",
"31",
"37",
"22",
"35",
"39",
"41",
"43",
"34",
"47",
"21",
"53",
"55",
"26",
"49",
"51",
"59",
"61",
"10",
"67",
"33",
"71",
"73",
"38",
"65",
"69",
"77",
"79",
"58",
"83",
"57",
"85",
"89",
"46",
"91",
"87",
"95",
"97",
"62",
"101",
"103",
"81",
"107",
"74",
"109",
"113",
"93",
"115",
"82",
"119",
"121",
"111",
"125",
"86",
"127",
"131",
"123"
]
| [
"nonn"
]
| 14 | 1 | 2 | [
"A000005",
"A000040",
"A093714",
"A336957",
"A356850",
"A356851",
"A356903"
]
| null | Scott R. Shannon, Sep 03 2022 | 2023-01-16T09:10:46 | oeisdata/seq/A356/A356903.seq | 8a18b066ba53d7ec9fac7981d6d6475b |
A356904 | E.g.f. satisfies A(x)^2 * log(A(x)) = x * (exp(x) - 1). | [
"1",
"0",
"2",
"3",
"-32",
"-175",
"2376",
"29617",
"-371440",
"-9251919",
"91421560",
"4529155961",
"-26677647864",
"-3160004989271",
"1541460644192",
"2946529440977865",
"19556193589426336",
"-3498019439220155551",
"-56274505323609293208",
"5077223330715030358009"
]
| [
"sign"
]
| 24 | 0 | 3 | [
"A349654",
"A355843",
"A356797",
"A356798",
"A356902",
"A356904"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356904.seq | ceeab20dd30b2f6e9a52afce8d1d5adb |
A356905 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^x. | [
"1",
"0",
"2",
"3",
"-4",
"-30",
"294",
"3780",
"-7904",
"-444528",
"78840",
"99657360",
"539299848",
"-27852945120",
"-361237078944",
"10124338180320",
"258341121976320",
"-4020500134465920",
"-205187357182405824",
"1330097523844832640",
"186823640933648588160",
"500469438126120583680"
]
| [
"sign"
]
| 23 | 0 | 3 | [
"A349561",
"A355842",
"A356795",
"A356796",
"A356884",
"A356905",
"A356906"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356905.seq | a2594789449df487f9213c868ded51ef |
A356906 | E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x)^x. | [
"1",
"0",
"2",
"3",
"-28",
"-150",
"2154",
"26040",
"-322512",
"-7872984",
"77570280",
"3752301960",
"-22068935736",
"-2542757920560",
"1422846762960",
"2302464947491800",
"14860063644794880",
"-2653728770258072640",
"-41790782141846648640",
"3739260018343338345600"
]
| [
"sign"
]
| 20 | 0 | 3 | [
"A349652",
"A355842",
"A356795",
"A356796",
"A356885",
"A356905",
"A356906"
]
| null | Seiichi Manyama, Sep 03 2022 | 2022-09-03T09:55:19 | oeisdata/seq/A356/A356906.seq | 8915f8daf8a69616e4b849e961c6e6ac |
A356907 | Expansion of 1 / (1 + Sum_{k>=1} lambda(k)*x^k), where lambda() is the Liouville function (A008836). | [
"1",
"-1",
"2",
"-2",
"2",
"0",
"-4",
"12",
"-22",
"34",
"-42",
"38",
"-6",
"-68",
"202",
"-394",
"616",
"-782",
"730",
"-204",
"-1104",
"3486",
"-6994",
"11142",
"-14452",
"14026",
"-5296",
"-17558",
"60042",
"-123860",
"201128",
"-266384",
"268176",
"-124034",
"-273626",
"1030396",
"-2188864",
"3624290",
"-4898740",
"5101306",
"-2744408"
]
| [
"sign"
]
| 23 | 0 | 3 | [
"A008836",
"A118205",
"A118206",
"A118207",
"A118208",
"A185694",
"A307076",
"A307240",
"A356907"
]
| null | Ilya Gutkovskiy, Oct 02 2022 | 2022-10-23T23:59:37 | oeisdata/seq/A356/A356907.seq | 4a402e14821f14ec78875f43b5aaf911 |
A356908 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^2. | [
"1",
"2",
"-2",
"24",
"-272",
"4840",
"-107496",
"2934400",
"-94501760",
"3511914624",
"-147882696960",
"6959217277056",
"-361941871760256",
"20616017227643136",
"-1276341094954066176",
"85337532623368181760",
"-6128269375791673718784",
"470426144496265208979456"
]
| [
"sign"
]
| 19 | 0 | 2 | [
"A349561",
"A355779",
"A356908",
"A356909"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356908.seq | 57227b1fa865f9b7d6f4c5d24ea5cf47 |
A356909 | E.g.f. satisfies A(x)^A(x) = 1/(1 - 2*x)^(1/2). | [
"1",
"1",
"1",
"6",
"25",
"260",
"2031",
"29414",
"343729",
"6331464",
"99347775",
"2213854962",
"43775364777",
"1143045179484",
"27318538754703",
"817488701386590",
"22930078960458081",
"773538392955105552",
"24914603847636688383",
"935548306987015373418",
"34024565857537814925465"
]
| [
"nonn"
]
| 14 | 0 | 4 | [
"A355786",
"A356908",
"A356909"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356909.seq | 4f7cae645fbbb7071a2d1d7b54eaf3d4 |
A356910 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^(x^2). | [
"1",
"0",
"0",
"6",
"12",
"40",
"-180",
"-1512",
"-11760",
"142560",
"2701440",
"37033920",
"-47472480",
"-7299227520",
"-181704466944",
"-904179830400",
"40024286265600",
"1774386897454080",
"24426730612869120",
"-217650777809310720",
"-26326923875473536000",
"-662608157128469637120"
]
| [
"sign"
]
| 16 | 0 | 4 | [
"A353228",
"A355287",
"A356905",
"A356910",
"A356911"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356910.seq | 5843669fc418f1f9840c75f1150e1e66 |
A356911 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^(x^3). | [
"1",
"0",
"0",
"0",
"24",
"60",
"240",
"1260",
"-12096",
"-120960",
"-1144800",
"-11642400",
"190270080",
"4670265600",
"81378198720",
"1348668921600",
"-880532674560",
"-406217626214400",
"-13255586359142400",
"-343166884178227200",
"-3137937973466572800",
"72862796986940620800"
]
| [
"sign"
]
| 16 | 0 | 5 | [
"A353229",
"A356099",
"A356905",
"A356910",
"A356911"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356911.seq | 0077affdf69049305d26c5f77dd2b423 |
A356912 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^(x^2/2). | [
"1",
"0",
"0",
"3",
"6",
"20",
"0",
"-126",
"-1260",
"18360",
"335160",
"4546080",
"26302320",
"-59501520",
"-5703994296",
"-58549768200",
"371346066000",
"34962417322560",
"746101280831040",
"8059680118183680",
"-93772611412099200",
"-5613314502242643840",
"-110940169654432087200"
]
| [
"sign"
]
| 19 | 0 | 4 | [
"A351492",
"A356752",
"A356909",
"A356910",
"A356912"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356912.seq | 62d8a07828b8c1499b05cf960d517215 |
A356913 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^(x^3/6). | [
"1",
"0",
"0",
"0",
"4",
"10",
"40",
"210",
"784",
"5040",
"40200",
"369600",
"5285280",
"72072000",
"1006889520",
"14760345600",
"210510263040",
"3131345817600",
"49229619129600",
"818940523564800",
"15054020163619200",
"301204611031564800",
"6455999452413772800",
"146587705490513548800"
]
| [
"nonn"
]
| 19 | 0 | 5 | [
"A351493",
"A356753",
"A356905",
"A356912",
"A356913"
]
| null | Seiichi Manyama, Sep 03 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356913.seq | a00944db3cd81023027a71d3dc048b41 |
A356914 | E.g.f. satisfies: A(x) = 1/(1 - x * A(x)^2)^A(x). | [
"1",
"1",
"8",
"129",
"3188",
"106820",
"4530174",
"232744274",
"14054237000",
"975665799792",
"76568358325440",
"6703512043934112",
"647772783078516600",
"68484470168404178928",
"7863452609057425825704",
"974474039841523412062440",
"129636661193226128284609344",
"18427094124309886080021680640"
]
| [
"nonn"
]
| 27 | 0 | 3 | [
"A052813",
"A349556",
"A355766",
"A356914",
"A356960",
"A356972"
]
| null | Seiichi Manyama, Sep 07 2022 | 2022-09-12T03:05:25 | oeisdata/seq/A356/A356914.seq | 4e9e3da64c61c2bd9939858a473c7a05 |
A356915 | Number of partitions of n into 4 parts that divide n. | [
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"7",
"0",
"0",
"0",
"2",
"0",
"3",
"0",
"3",
"0",
"0",
"0",
"9",
"0",
"0",
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"4",
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"0",
"0",
"0",
"8",
"0",
"0",
"0",
"4",
"0",
"3",
"0",
"1",
"0",
"0",
"0",
"9",
"0",
"1",
"0",
"1",
"0",
"3",
"0",
"2",
"0",
"0",
"0",
"10",
"0",
"0",
"0",
"2",
"0",
"2",
"0",
"1",
"0",
"1",
"0",
"10",
"0",
"0",
"0",
"1",
"0",
"2",
"0",
"4",
"0",
"0",
"0",
"8",
"0",
"0",
"0",
"2",
"0",
"5"
]
| [
"nonn"
]
| 20 | 1 | 6 | [
"A354591",
"A356915"
]
| null | Wesley Ivan Hurt, Sep 04 2022 | 2022-09-26T20:36:08 | oeisdata/seq/A356/A356915.seq | 6d38ff962d24bcc054a558265366b32c |
A356916 | Irregular triangle A(n, q) = total number of labeled P_4 - free chordal graphs on n vertices and q edges, read by rows; also companion triangle to A058865. | [
"1",
"3",
"3",
"1",
"6",
"15",
"8",
"12",
"6",
"1",
"10",
"45",
"60",
"75",
"60",
"80",
"30",
"30",
"10",
"1",
"15",
"105",
"275",
"420",
"516",
"625",
"465",
"540",
"495",
"276",
"255",
"80",
"60",
"15",
"1",
"21",
"210",
"910",
"2100",
"3192",
"4767",
"5355",
"4830",
"5845",
"5061",
"5397",
"4725",
"2730",
"2625",
"1932",
"882",
"630",
"175",
"105",
"21",
"1"
]
| [
"nonn",
"tabf"
]
| 19 | 1 | 2 | [
"A000217",
"A000332",
"A058865",
"A356916"
]
| null | G. C. Greubel, Sep 03 2022 | 2022-09-26T18:11:20 | oeisdata/seq/A356/A356916.seq | add03c9504d8dcb4e3b858b75369f5a6 |
A356917 | Irregular triangle read by rows where row n lists the Colijn-Plazzotta subtree numbers, in ascending order, of each vertex of the rooted binary tree with their tree number n. | [
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"1",
"2",
"2",
"4",
"1",
"1",
"1",
"1",
"2",
"3",
"5",
"1",
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"1",
"1",
"1",
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"2",
"3",
"6",
"1",
"1",
"1",
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"1",
"2",
"2",
"3",
"3",
"7",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"4",
"8",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"4",
"9",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"3",
"4",
"10",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"2",
"4",
"4",
"11"
]
| [
"nonn",
"easy",
"tabf"
]
| 19 | 1 | 4 | [
"A002024",
"A002260",
"A064002",
"A064064",
"A356917",
"A356918"
]
| null | Kevin Ryde, Sep 19 2022 | 2024-12-19T11:46:19 | oeisdata/seq/A356/A356917.seq | 59dace9556f1775a167d040d4b28d5c0 |
A356918 | Triangle read by rows where T(n,k) is Colijn and Plazzotta's distance metric d_1(n,k) between rooted binary tree numbers n and k, for 1 <= k <= n. | [
"0",
"2",
"0",
"4",
"2",
"0",
"6",
"4",
"4",
"0",
"6",
"4",
"2",
"4",
"0",
"8",
"6",
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"4",
"4",
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"6",
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"4",
"0",
"14",
"12",
"12",
"8",
"12",
"10",
"10",
"8",
"6",
"6",
"0",
"8",
"6",
"4",
"6",
"2",
"4",
"6",
"6",
"8",
"8",
"12",
"0"
]
| [
"nonn",
"tabl"
]
| 26 | 1 | 2 | [
"A002024",
"A002260",
"A064002",
"A356917",
"A356918"
]
| null | Kevin Ryde, Sep 19 2022 | 2024-12-20T10:45:21 | oeisdata/seq/A356/A356918.seq | 6bfd4cd235bacb9e12902bd7361b99bb |
A356919 | Number of partitions of n into 5 parts that divide n. | [
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"2",
"1",
"2",
"0",
"8",
"0",
"1",
"3",
"3",
"0",
"6",
"0",
"6",
"1",
"0",
"0",
"20",
"1",
"0",
"1",
"2",
"0",
"14",
"0",
"3",
"0",
"0",
"1",
"20",
"0",
"0",
"0",
"11",
"0",
"8",
"0",
"0",
"5",
"0",
"0",
"26",
"0",
"2",
"0",
"0",
"0",
"7",
"1",
"4",
"0",
"0",
"0",
"41",
"0",
"0",
"2",
"3",
"1",
"2",
"0",
"0",
"0",
"5",
"0",
"35",
"0",
"0",
"3",
"0",
"0",
"2",
"0",
"12",
"1",
"0",
"0",
"25",
"1",
"0",
"0",
"2",
"0",
"23",
"0",
"0",
"0",
"0",
"1",
"27",
"0",
"1",
"1",
"7",
"0",
"1",
"0",
"2",
"4"
]
| [
"nonn"
]
| 15 | 1 | 8 | [
"A355641",
"A356919"
]
| null | Wesley Ivan Hurt, Sep 04 2022 | 2025-03-10T08:55:54 | oeisdata/seq/A356/A356919.seq | e2dad23857de93c537d47b008ec1f969 |
A356920 | Number of partitions of n into 6 parts that divide n. | [
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"2",
"0",
"8",
"0",
"1",
"0",
"4",
"0",
"8",
"0",
"8",
"0",
"0",
"0",
"33",
"0",
"0",
"0",
"6",
"0",
"27",
"0",
"5",
"0",
"0",
"0",
"44",
"0",
"0",
"0",
"21",
"0",
"16",
"0",
"1",
"0",
"0",
"0",
"61",
"0",
"3",
"0",
"1",
"0",
"13",
"0",
"11",
"0",
"0",
"0",
"124",
"0",
"0",
"0",
"5",
"0",
"6",
"0",
"0",
"0",
"8",
"0",
"104",
"0",
"0",
"0",
"0",
"0",
"5",
"0",
"31",
"0",
"0",
"0",
"77",
"0",
"0"
]
| [
"nonn"
]
| 7 | 1 | 10 | [
"A356609",
"A356920"
]
| null | Wesley Ivan Hurt, Sep 04 2022 | 2022-09-26T20:36:27 | oeisdata/seq/A356/A356920.seq | df151e51196d98ae8000b6a8b9b713da |
A356921 | Irregular table read by rows: necklaces on the alphabet {0,1} sorted by length then by lexicographic order of minimum rotation. | [
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0"
]
| [
"nonn",
"tabf"
]
| 12 | 1 | null | [
"A000031",
"A356921",
"A356922",
"A356923",
"A356924"
]
| null | Peter Kagey, Sep 04 2022 | 2022-09-26T20:36:59 | oeisdata/seq/A356/A356921.seq | fe90f0f1509331153f78c0ef22852da9 |
A356922 | Irregular table read by rows: bracelets on the alphabet {0,1} sorted by length then by lexicographic order of minimum rotation. | [
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"1",
"1",
"1",
"0",
"1",
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"1",
"0",
"0",
"0"
]
| [
"nonn",
"tabf"
]
| 12 | 1 | null | [
"A000029",
"A356921",
"A356922",
"A356923",
"A356924"
]
| null | Peter Kagey, Sep 04 2022 | 2022-09-26T20:37:08 | oeisdata/seq/A356/A356922.seq | 4bc6982b0ad8c24b19afce98385c3d84 |
A356923 | Irregular table read by rows: invertible necklaces on the alphabet {0,1} sorted by length then by lexicographic order of minimum presentation. | [
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0"
]
| [
"nonn",
"tabf"
]
| 14 | 1 | null | [
"A000013",
"A356921",
"A356922",
"A356923",
"A356924"
]
| null | Peter Kagey, Sep 04 2022 | 2022-09-26T20:37:26 | oeisdata/seq/A356/A356923.seq | 30ae2f384813059637599a59ae0afb74 |
A356924 | Irregular table read by rows: invertible bracelets on the alphabet {0,1} sorted by length then by lexicographic order of minimum presentation. | [
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"1",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"1",
"0",
"0",
"0",
"1",
"0",
"1",
"0",
"0",
"0",
"1",
"1",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0"
]
| [
"nonn",
"tabf"
]
| 11 | 1 | null | [
"A000011",
"A356921",
"A356922",
"A356923",
"A356924"
]
| null | Peter Kagey, Sep 05 2022 | 2022-09-26T20:37:39 | oeisdata/seq/A356/A356924.seq | 17f6d5aa964124f60e54ca7f6688af3a |
A356925 | E.g.f. satisfies A(x) = 1/(1 - x)^(exp(x) * A(x)). | [
"1",
"1",
"6",
"51",
"614",
"9655",
"188209",
"4389532",
"119363488",
"3711190881",
"129932611723",
"5060364817200",
"217054300138136",
"10168837756846145",
"516709033266165479",
"28306732060349788908",
"1663231006737554997168",
"104344911495734048046929"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A000272",
"A002104",
"A191365",
"A356752",
"A356753",
"A356925",
"A356926",
"A356927"
]
| null | Seiichi Manyama, Sep 04 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356925.seq | 630b8f16841c3999afa7311eb7e92fb7 |
A356926 | E.g.f. satisfies A(x)^A(x) = 1/(1 - x)^exp(x). | [
"1",
"1",
"2",
"3",
"10",
"35",
"121",
"1092",
"5216",
"39321",
"558643",
"2433508",
"48144944",
"688652549",
"2176310995",
"145742587616",
"1334993574032",
"5551320939809",
"799648465754835",
"1049695714507276",
"90069170433616208",
"6281942689646504501",
"-53282051261767839293",
"2356158301117802408472"
]
| [
"sign"
]
| 22 | 0 | 3 | [
"A002104",
"A141209",
"A177885",
"A191365",
"A356912",
"A356913",
"A356925",
"A356926"
]
| null | Seiichi Manyama, Sep 04 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356926.seq | 74e4c82e300fd8be617ad20a5c01cc58 |
A356927 | E.g.f. satisfies A(x) = 1/(1 - x)^(A(x)/(1 - x)). | [
"1",
"1",
"6",
"54",
"676",
"10980",
"220488",
"5289592",
"147828896",
"4721152320",
"169723566240",
"6785559484704",
"298726260001728",
"14362141350822720",
"748845960914596608",
"42092072779399215360",
"2537464961261745635328",
"163317885950059143238656"
]
| [
"nonn"
]
| 20 | 0 | 3 | [
"A000254",
"A000272",
"A052813",
"A087761",
"A356925",
"A356927"
]
| null | Seiichi Manyama, Sep 04 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356927.seq | fe8998c6682cc15fc8155c8e41404533 |
A356928 | a(n) is the number of solutions, j >= 0 and 1 <= m_1 <= ... <= m_n, of the equation Sum_{k=1..n} F(m_k) = 2^j where F(i) is the i-th Fibonacci number. | [
"0",
"4",
"9",
"15",
"60",
"106"
]
| [
"nonn",
"hard",
"more"
]
| 69 | 0 | 2 | [
"A007000",
"A356928"
]
| null | Pagdame Tiebekabe, Sep 05 2022 | 2022-11-01T13:48:29 | oeisdata/seq/A356/A356928.seq | dc7bc0478ef4b34970bd5a1fc24f0850 |
A356929 | Integers with an even number of even digits. | [
"1",
"3",
"5",
"7",
"9",
"11",
"13",
"15",
"17",
"19",
"20",
"22",
"24",
"26",
"28",
"31",
"33",
"35",
"37",
"39",
"40",
"42",
"44",
"46",
"48",
"51",
"53",
"55",
"57",
"59",
"60",
"62",
"64",
"66",
"68",
"71",
"73",
"75",
"77",
"79",
"80",
"82",
"84",
"86",
"88",
"91",
"93",
"95",
"97",
"99",
"100",
"102",
"104",
"106",
"108",
"111",
"113",
"115",
"117",
"119",
"120",
"122",
"124",
"126",
"128",
"131",
"133",
"135"
]
| [
"nonn",
"base"
]
| 18 | 1 | 2 | [
"A137233",
"A356929"
]
| null | Bernard Schott, Sep 05 2022 | 2022-09-07T04:09:54 | oeisdata/seq/A356/A356929.seq | 6c8d7420cf2c6c4713a406542a2e2503 |
A356930 | Numbers whose prime indices have all odd prime indices. MM-numbers of finite multisets of finite multisets of odd numbers. | [
"1",
"2",
"3",
"4",
"6",
"7",
"8",
"9",
"11",
"12",
"14",
"16",
"18",
"19",
"21",
"22",
"24",
"27",
"28",
"29",
"31",
"32",
"33",
"36",
"38",
"42",
"44",
"48",
"49",
"53",
"54",
"56",
"57",
"58",
"59",
"62",
"63",
"64",
"66",
"71",
"72",
"76",
"77",
"79",
"81",
"83",
"84",
"87",
"88",
"93",
"96",
"97",
"98",
"99",
"106",
"108",
"112",
"114",
"116",
"118",
"121",
"124",
"126",
"127"
]
| [
"nonn"
]
| 11 | 1 | 2 | [
"A000009",
"A000041",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A011782",
"A055887",
"A056239",
"A066208",
"A076610",
"A089259",
"A112798",
"A302242",
"A302478",
"A302492",
"A304969",
"A356930",
"A356931",
"A356935",
"A356939",
"A356940",
"A356944",
"A356955"
]
| null | Gus Wiseman, Sep 11 2022 | 2022-09-12T22:48:48 | oeisdata/seq/A356/A356930.seq | 74bff0b80eee246b6e49c069afdad110 |
A356931 | Number of multiset partitions of the prime indices of n into multisets of odd numbers. Number of factorizations of n into members of A066208. | [
"1",
"1",
"0",
"2",
"1",
"0",
"0",
"3",
"0",
"2",
"1",
"0",
"0",
"0",
"0",
"5",
"1",
"0",
"0",
"4",
"0",
"2",
"1",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"1",
"7",
"0",
"2",
"0",
"0",
"0",
"0",
"0",
"7",
"1",
"0",
"0",
"4",
"0",
"2",
"1",
"0",
"0",
"4",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"1",
"0",
"0",
"2",
"0",
"11",
"0",
"0",
"1",
"4",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"12",
"0",
"2",
"1",
"0",
"2",
"0"
]
| [
"nonn"
]
| 6 | 1 | 4 | [
"A000009",
"A000012",
"A000041",
"A000688",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A050320",
"A050330",
"A056239",
"A066208",
"A073491",
"A089259",
"A107742",
"A112798",
"A287170",
"A322585",
"A324929",
"A325534",
"A325535",
"A340852",
"A356069",
"A356224",
"A356225",
"A356233",
"A356234",
"A356930",
"A356931",
"A356936",
"A356945"
]
| null | Gus Wiseman, Sep 08 2022 | 2022-09-13T13:06:56 | oeisdata/seq/A356/A356931.seq | bb047c5cb3b7593c4975d070a65244f6 |
A356932 | Number of multiset partitions of integer partitions of n such that all blocks have odd size. | [
"1",
"1",
"2",
"4",
"7",
"13",
"24",
"42",
"74",
"130",
"224",
"383",
"653",
"1100",
"1846",
"3079",
"5104",
"8418",
"13827",
"22592",
"36774",
"59613",
"96271",
"154908",
"248441",
"397110",
"632823",
"1005445",
"1592962",
"2516905",
"3966474",
"6235107",
"9777791",
"15297678",
"23880160",
"37196958",
"57819018",
"89691934",
"138862937"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A000009",
"A000041",
"A000302",
"A000670",
"A001055",
"A001970",
"A006171",
"A007294",
"A011782",
"A026424",
"A027193",
"A050330",
"A055887",
"A055922",
"A058695",
"A072233",
"A089259",
"A107742",
"A117958",
"A270995",
"A304969",
"A356932",
"A356933",
"A356934",
"A356935",
"A356941"
]
| null | Gus Wiseman, Sep 11 2022 | 2022-12-30T21:38:10 | oeisdata/seq/A356/A356932.seq | 8a319c7daf488eb5adeb53c8dc5c4431 |
A356933 | Number of multisets of multisets, each of odd size, whose multiset union is a size-n multiset covering an initial interval. | [
"1",
"1",
"2",
"8",
"28",
"108",
"524",
"2608",
"14176",
"86576",
"550672",
"3782496",
"27843880",
"214071392",
"1751823600",
"15041687664",
"134843207240",
"1269731540864",
"12427331494304",
"126619822952928",
"1341762163389920",
"14712726577081248",
"167209881188545344",
"1963715680476759040",
"23794190474350155856"
]
| [
"nonn"
]
| 11 | 0 | 3 | [
"A000009",
"A000041",
"A000302",
"A000670",
"A011782",
"A019536",
"A026424",
"A027193",
"A034691",
"A050330",
"A055887",
"A058695",
"A063834",
"A072233",
"A116540",
"A255906",
"A270995",
"A304969",
"A333217",
"A349050",
"A349055",
"A356932",
"A356933",
"A356934",
"A356935",
"A356937",
"A356942"
]
| null | Gus Wiseman, Sep 08 2022 | 2023-01-01T17:58:57 | oeisdata/seq/A356/A356933.seq | 57592fa22925b341d7cea5bab10b7da1 |
A356934 | Number of multisets of odd-size multisets whose multiset union is a size-n multiset covering an initial interval with weakly decreasing multiplicities. | [
"1",
"1",
"2",
"6",
"17",
"46",
"166",
"553",
"2093"
]
| [
"nonn",
"more"
]
| 6 | 0 | 3 | [
"A000009",
"A000041",
"A000302",
"A000670",
"A011782",
"A019536",
"A026424",
"A027193",
"A035310",
"A050330",
"A055887",
"A058695",
"A063834",
"A072233",
"A270995",
"A304969",
"A330783",
"A333217",
"A349050",
"A349055",
"A356932",
"A356933",
"A356934",
"A356935",
"A356938",
"A356943",
"A356954"
]
| null | Gus Wiseman, Sep 09 2022 | 2022-09-10T14:02:27 | oeisdata/seq/A356/A356934.seq | d2f7fc7c6f9443eb1e3bbe22f68dcc02 |
A356935 | Numbers whose prime indices all have odd bigomega (number of prime factors with multiplicity). Products of primes indexed by elements of A026424. MM-numbers of finite multisets of finite odd-length multisets of positive integers. | [
"1",
"3",
"5",
"9",
"11",
"15",
"17",
"19",
"25",
"27",
"31",
"33",
"37",
"41",
"45",
"51",
"55",
"57",
"59",
"61",
"67",
"71",
"75",
"81",
"83",
"85",
"93",
"95",
"99",
"103",
"107",
"109",
"111",
"113",
"121",
"123",
"125",
"127",
"131",
"135",
"153",
"155",
"157",
"165",
"171",
"177",
"179",
"181",
"183",
"185",
"187",
"191",
"193",
"197",
"201",
"205",
"209",
"211",
"213"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000009",
"A000040",
"A000041",
"A000302",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A026424",
"A027193",
"A050330",
"A056239",
"A058695",
"A112798",
"A270995",
"A302242",
"A302478",
"A302492",
"A304969",
"A349050",
"A349055",
"A356930",
"A356932",
"A356933",
"A356934",
"A356935",
"A356939",
"A356940",
"A356944",
"A356945"
]
| null | Gus Wiseman, Sep 12 2022 | 2022-09-13T09:37:16 | oeisdata/seq/A356/A356935.seq | 984d4039b217c0ee574e7950b180ffd2 |
A356936 | Number of multiset partitions of the multiset of prime indices of n into intervals. Number of factorizations of n into members of A073485. | [
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"2",
"3",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"1",
"1",
"4",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1",
"2",
"1",
"3",
"1",
"1",
"2",
"1",
"2",
"2",
"1",
"1",
"1",
"1",
"1",
"2",
"1",
"1",
"1"
]
| [
"nonn"
]
| 8 | 1 | 6 | [
"A000012",
"A000688",
"A001055",
"A001221",
"A001222",
"A001227",
"A001414",
"A003963",
"A050320",
"A050330",
"A056239",
"A073485",
"A073491",
"A107742",
"A112798",
"A287170",
"A322585",
"A328195",
"A356069",
"A356224",
"A356225",
"A356233",
"A356234",
"A356931",
"A356936",
"A356937",
"A356938",
"A356939",
"A356945"
]
| null | Gus Wiseman, Sep 08 2022 | 2022-09-10T07:35:28 | oeisdata/seq/A356/A356936.seq | 6230810f307226591f16e335741baf1c |
A356937 | Number of multisets of intervals whose multiset union is of size n and covers an initial interval of positive integers. | [
"1",
"1",
"3",
"9",
"29",
"94",
"310",
"1026",
"3411",
"11360",
"37886",
"126442",
"422203",
"1410189",
"4711039",
"15740098",
"52593430",
"175742438",
"587266782",
"1962469721",
"6558071499",
"21915580437",
"73237274083",
"244744474601",
"817889464220",
"2733235019732",
"9133973730633",
"30524096110942",
"102006076541264"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A000009",
"A000012",
"A000041",
"A000670",
"A001227",
"A011782",
"A019536",
"A034691",
"A055887",
"A063834",
"A073485",
"A107742",
"A116540",
"A255906",
"A270995",
"A304969",
"A333217",
"A349050",
"A349055",
"A356933",
"A356936",
"A356937",
"A356938",
"A356939",
"A356942"
]
| null | Gus Wiseman, Sep 08 2022 | 2023-01-01T19:29:49 | oeisdata/seq/A356/A356937.seq | 3916f6339e9b0f5d756cda97ce7ec54d |
A356938 | Number of multisets of intervals whose multiset union is of size n and covers an initial interval of positive integers with weakly decreasing multiplicities. | [
"1",
"1",
"3",
"7",
"18",
"41",
"101",
"228",
"538",
"1209"
]
| [
"nonn",
"more"
]
| 5 | 0 | 3 | [
"A000009",
"A000012",
"A000041",
"A000670",
"A001227",
"A011782",
"A019536",
"A035310",
"A055887",
"A063834",
"A072233",
"A073485",
"A107742",
"A270995",
"A304969",
"A330783",
"A333217",
"A349050",
"A349055",
"A356934",
"A356936",
"A356937",
"A356938",
"A356939",
"A356943",
"A356954"
]
| null | Gus Wiseman, Sep 09 2022 | 2022-09-10T21:05:38 | oeisdata/seq/A356/A356938.seq | 2e69084a551149f912372d095817b590 |
A356939 | MM-numbers of multisets of intervals. Products of primes indexed by members of A073485. | [
"1",
"2",
"3",
"4",
"5",
"6",
"8",
"9",
"10",
"11",
"12",
"13",
"15",
"16",
"17",
"18",
"20",
"22",
"24",
"25",
"26",
"27",
"30",
"31",
"32",
"33",
"34",
"36",
"39",
"40",
"41",
"44",
"45",
"47",
"48",
"50",
"51",
"52",
"54",
"55",
"59",
"60",
"62",
"64",
"65",
"66",
"67",
"68",
"72",
"75",
"78",
"80",
"81",
"82",
"83",
"85",
"88",
"90",
"93",
"94",
"96",
"99",
"100",
"102",
"104",
"108"
]
| [
"nonn"
]
| 5 | 1 | 2 | [
"A000009",
"A000012",
"A000040",
"A000041",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001227",
"A001414",
"A003963",
"A055887",
"A056239",
"A073485",
"A076610",
"A107742",
"A112798",
"A270995",
"A302242",
"A302478",
"A302492",
"A304969",
"A356930",
"A356935",
"A356936",
"A356937",
"A356938",
"A356939",
"A356940",
"A356944",
"A356955"
]
| null | Gus Wiseman, Sep 12 2022 | 2022-09-13T09:37:04 | oeisdata/seq/A356/A356939.seq | 464ada3cb5cc951d7e8c2fbea8b7af4c |
A356940 | MM-numbers of multisets of initial intervals. Products of elements of A062447 (primes indexed by primorials A002110). | [
"1",
"2",
"3",
"4",
"6",
"8",
"9",
"12",
"13",
"16",
"18",
"24",
"26",
"27",
"32",
"36",
"39",
"48",
"52",
"54",
"64",
"72",
"78",
"81",
"96",
"104",
"108",
"113",
"117",
"128",
"144",
"156",
"162",
"169",
"192",
"208",
"216",
"226",
"234",
"243",
"256",
"288",
"312",
"324",
"338",
"339",
"351",
"384",
"416",
"432",
"452",
"468",
"486",
"507",
"512",
"576",
"624",
"648"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000009",
"A000040",
"A000041",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001414",
"A002110",
"A003963",
"A007294",
"A010054",
"A055887",
"A056239",
"A076610",
"A112798",
"A302242",
"A302478",
"A302492",
"A304969",
"A322585",
"A356930",
"A356935",
"A356939",
"A356940",
"A356944",
"A356955"
]
| null | Gus Wiseman, Sep 12 2022 | 2022-09-13T09:36:59 | oeisdata/seq/A356/A356940.seq | 22d96005402b0575e28cc75990d51c7c |
A356941 | Number of multiset partitions of integer partitions of n such that all blocks are gapless. | [
"1",
"1",
"3",
"6",
"13",
"24",
"49",
"88",
"166",
"297",
"534",
"932",
"1635",
"2796",
"4782",
"8060",
"13521",
"22438",
"37080",
"60717",
"98979",
"160216",
"258115",
"413382",
"659177",
"1045636",
"1651891",
"2597849",
"4069708",
"6349677",
"9871554",
"15290322",
"23604794",
"36318256",
"55705321",
"85177643",
"129865495"
]
| [
"nonn"
]
| 9 | 0 | 3 | [
"A000009",
"A000041",
"A000670",
"A001055",
"A001970",
"A006171",
"A007294",
"A011782",
"A019536",
"A034296",
"A055887",
"A072233",
"A073491",
"A089259",
"A107742",
"A270995",
"A333217",
"A356069",
"A356224",
"A356225",
"A356233",
"A356932",
"A356941",
"A356942",
"A356943",
"A356944"
]
| null | Gus Wiseman, Sep 11 2022 | 2022-12-30T21:38:23 | oeisdata/seq/A356/A356941.seq | e8d3b32c1a669d8d303262f63ee5bcd2 |
A356942 | Number of multisets of gapless multisets whose multiset union is a size-n multiset covering an initial interval. | [
"1",
"1",
"4",
"15",
"61",
"249",
"1040",
"4363",
"18424",
"78014",
"331099",
"1407080",
"5985505",
"25477399",
"108493103",
"462147381",
"1969025286",
"8390475609",
"35757524184",
"152398429323",
"649555719160",
"2768653475487",
"11801369554033",
"50304231997727",
"214428538858889",
"914039405714237"
]
| [
"nonn"
]
| 10 | 0 | 3 | [
"A000009",
"A000041",
"A000670",
"A011782",
"A019536",
"A034296",
"A034691",
"A055887",
"A063834",
"A072233",
"A073491",
"A116540",
"A255906",
"A270995",
"A304969",
"A333217",
"A349050",
"A349055",
"A356233",
"A356933",
"A356934",
"A356937",
"A356941",
"A356942",
"A356943",
"A356944"
]
| null | Gus Wiseman, Sep 08 2022 | 2023-01-01T19:29:39 | oeisdata/seq/A356/A356942.seq | eec7c5208f1333dc6eafb102eb1d1236 |
A356943 | Number of multiset partitions into gapless blocks of a size-n multiset covering an initial interval with weakly decreasing multiplicities. | [
"1",
"1",
"4",
"11",
"37",
"101",
"328",
"909",
"2801"
]
| [
"nonn",
"more"
]
| 7 | 0 | 3 | [
"A000009",
"A000041",
"A000670",
"A011782",
"A019536",
"A034296",
"A035310",
"A055887",
"A063834",
"A072233",
"A073491",
"A270995",
"A304969",
"A330783",
"A333217",
"A349050",
"A349055",
"A356233",
"A356934",
"A356938",
"A356941",
"A356942",
"A356943",
"A356944",
"A356954"
]
| null | Gus Wiseman, Sep 09 2022 | 2022-09-10T22:02:02 | oeisdata/seq/A356/A356943.seq | e299ac53928c8554aa8ae9f3d5e797b2 |
A356944 | MM-numbers of multisets of gapless multisets of positive integers. Products of primes indexed by elements of A073491. | [
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"59",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"69",
"70"
]
| [
"nonn"
]
| 7 | 1 | 2 | [
"A000009",
"A000041",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A011782",
"A034296",
"A056239",
"A073491",
"A076610",
"A112798",
"A270995",
"A302242",
"A302478",
"A302492",
"A349050",
"A349055",
"A356233",
"A356930",
"A356935",
"A356939",
"A356940",
"A356941",
"A356942",
"A356943",
"A356944",
"A356955"
]
| null | Gus Wiseman, Sep 12 2022 | 2022-09-13T09:36:37 | oeisdata/seq/A356/A356944.seq | 7815597aad57ba1336778b3d468fb328 |
A356945 | Number of multiset partitions of the prime indices of n such that each block covers an initial interval. Number of factorizations of n into members of A055932. | [
"1",
"1",
"0",
"2",
"0",
"1",
"0",
"3",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"5",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"4",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"7",
"0",
"0",
"0",
"3",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"7",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"2",
"0",
"0",
"0",
"11",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"6",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn"
]
| 8 | 1 | 4 | [
"A000009",
"A000041",
"A000688",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A011782",
"A034691",
"A050320",
"A050330",
"A055932",
"A056239",
"A073491",
"A080259",
"A089259",
"A107742",
"A112798",
"A287170",
"A322585",
"A324929",
"A340852",
"A356069",
"A356224",
"A356225",
"A356233",
"A356234",
"A356931",
"A356936",
"A356945",
"A356954",
"A356955"
]
| null | Gus Wiseman, Sep 08 2022 | 2022-09-10T22:01:57 | oeisdata/seq/A356/A356945.seq | 4b574b93cbbb60ef0ff1d4d80ec71b2c |
A356946 | Number of stable digits of the integer tetration n^^n (i.e., maximum nonnegative integer m such that n^^n is congruent modulo 10^m to n^^(n + 1)). | [
"1",
"0",
"2",
"3",
"12",
"7",
"12",
"7",
"9"
]
| [
"nonn",
"base"
]
| 12 | 1 | 3 | [
"A317824",
"A317903",
"A317905",
"A349425",
"A356946"
]
| null | Marco Ripà, Sep 05 2022 | 2022-09-11T19:26:38 | oeisdata/seq/A356/A356946.seq | 64b4fa51cab130d30a2f380dd4a33a42 |
A356947 | Emirps p such that p == 1 (mod s) and R(p) == 1 (mod s), where R(p) is the digit reversal of p and s the sum of digits of p. | [
"1021",
"1031",
"1201",
"1259",
"1301",
"9521",
"10253",
"10711",
"11071",
"11161",
"11243",
"11701",
"12113",
"12241",
"14221",
"15907",
"16111",
"16481",
"17011",
"17491",
"18461",
"19471",
"30757",
"31121",
"34211",
"35201",
"70951",
"71347",
"71569",
"72337",
"73327",
"74317",
"75703",
"96517",
"100621",
"101611",
"101701",
"102061",
"102913",
"103141",
"105211",
"106661"
]
| [
"nonn",
"base"
]
| 25 | 1 | 1 | [
"A004086",
"A006567",
"A209871",
"A356947"
]
| null | J. M. Bergot and Robert Israel, Sep 05 2022 | 2022-09-18T11:22:21 | oeisdata/seq/A356/A356947.seq | 26ad83c0e53c6d83d6ab6deba7515c22 |
A356948 | Sequence of scores adding to maximum break in snooker. | [
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"1",
"7",
"2",
"3",
"4",
"5",
"6",
"7"
]
| [
"nonn",
"fini",
"full",
"easy"
]
| 15 | 1 | 2 | [
"A241263",
"A356948"
]
| null | William B. Faulk, Sep 05 2022 | 2023-03-21T12:10:14 | oeisdata/seq/A356/A356948.seq | 2c9368ed425d6d929e8e9a651baf85ca |
A356949 | E.g.f. satisfies log(A(x)) = x^2 * (exp(x) - 1) * A(x). | [
"1",
"0",
"0",
"6",
"12",
"20",
"1110",
"7602",
"35336",
"1103832",
"14984010",
"134552990",
"3457329612",
"70828191876",
"1017237973934",
"25648737955050",
"676111332667920",
"13760810592066992",
"373071111301807506",
"11594147432172228918",
"307097278689726728660",
"9330499711181779575900"
]
| [
"nonn"
]
| 17 | 0 | 4 | [
"A000272",
"A052880",
"A240989",
"A355287",
"A355843",
"A356797",
"A356949",
"A356950",
"A356951"
]
| null | Seiichi Manyama, Sep 06 2022 | 2025-02-16T08:34:03 | oeisdata/seq/A356/A356949.seq | d7eb4d1a4883d0fe5827466ea78e3487 |
A356950 | E.g.f. satisfies log(A(x)) = x^3 * (exp(x) - 1) * A(x). | [
"1",
"0",
"0",
"0",
"24",
"60",
"120",
"210",
"60816",
"544824",
"3175920",
"14969790",
"1339209960",
"25141598196",
"291418089144",
"2618105492730",
"128974591028640",
"3841451570440560",
"73103023032142176",
"1060951475511351414",
"39132892925113341240",
"1516348247446904304300"
]
| [
"nonn"
]
| 17 | 0 | 5 | [
"A000272",
"A052880",
"A355843",
"A356099",
"A356949",
"A356950",
"A356952"
]
| null | Seiichi Manyama, Sep 06 2022 | 2025-02-16T08:34:04 | oeisdata/seq/A356/A356950.seq | 5fdd97e7e40f0799a1eb2d3680a3151d |
A356951 | E.g.f. satisfies log(A(x)) = x^2/2 * (exp(x) - 1) * A(x). | [
"1",
"0",
"0",
"3",
"6",
"10",
"285",
"1911",
"8848",
"155016",
"1931625",
"17006275",
"276807036",
"4801114968",
"65672925409",
"1172625764415",
"24657199159440",
"460156401399376",
"9560083801337793",
"230955040794126915",
"5393971086379904260",
"131545127670380245920",
"3587507216606547324321"
]
| [
"nonn"
]
| 19 | 0 | 4 | [
"A000272",
"A052880",
"A354000",
"A355843",
"A356752",
"A356949",
"A356951",
"A356952"
]
| null | Seiichi Manyama, Sep 06 2022 | 2025-02-16T08:34:04 | oeisdata/seq/A356/A356951.seq | 8ac7f7d1318f3db9fe2db567a26d9755 |
A356952 | E.g.f. satisfies log(A(x)) = x^3/6 * (exp(x) - 1) * A(x). | [
"1",
"0",
"0",
"0",
"4",
"10",
"20",
"35",
"1736",
"15204",
"88320",
"415965",
"7632460",
"121801966",
"1368227224",
"12184672955",
"176889193040",
"3490851044360",
"59703361471296",
"837948141904569",
"13407228541467540",
"283596013866706450",
"6226093732482731800",
"121326684752194084471"
]
| [
"nonn"
]
| 17 | 0 | 5 | [
"A000272",
"A052880",
"A354001",
"A355843",
"A356753",
"A356950",
"A356951",
"A356952"
]
| null | Seiichi Manyama, Sep 06 2022 | 2025-02-16T08:34:04 | oeisdata/seq/A356/A356952.seq | b0b8ae073930dbc4795481ad2ba307b3 |
A356953 | Least nonzero starting number in the first run of exactly n consecutive numbers having the same number of prime factors counted with multiplicity, or -1 if no such number exists. | [
"1",
"2",
"33",
"1083",
"602",
"2522",
"211673",
"6612470",
"3405122",
"49799889",
"202536181",
"3195380868",
"5208143601",
"85843948321",
"97524222465"
]
| [
"nonn",
"more"
]
| 63 | 1 | 2 | [
"A001222",
"A045920",
"A077657",
"A113752",
"A115186",
"A356855",
"A356893",
"A356953"
]
| null | Jean-Marc Rebert, Sep 06 2022 | 2022-09-17T14:14:19 | oeisdata/seq/A356/A356953.seq | 6376740ff1965396df854976f12c28db |
A356954 | Number of multisets of multisets, each covering an initial interval, whose multiset union is of size n and has weakly decreasing multiplicities. | [
"1",
"1",
"3",
"6",
"15",
"30",
"71",
"145",
"325",
"680"
]
| [
"nonn",
"more"
]
| 7 | 0 | 3 | [
"A000009",
"A000041",
"A000670",
"A011782",
"A019536",
"A034691",
"A035310",
"A055887",
"A055932",
"A063834",
"A072233",
"A089259",
"A270995",
"A304969",
"A330783",
"A333217",
"A349050",
"A349055",
"A356934",
"A356938",
"A356942",
"A356943",
"A356945",
"A356954",
"A356955"
]
| null | Gus Wiseman, Sep 09 2022 | 2022-09-13T13:07:01 | oeisdata/seq/A356/A356954.seq | 50b6c962ff9e8d841b17e9e0fd7c4d60 |
A356955 | MM-numbers of multisets of multisets, each covering an initial interval. Products of primes indexed by elements of A055932. | [
"1",
"2",
"3",
"4",
"6",
"7",
"8",
"9",
"12",
"13",
"14",
"16",
"18",
"19",
"21",
"24",
"26",
"27",
"28",
"32",
"36",
"37",
"38",
"39",
"42",
"48",
"49",
"52",
"53",
"54",
"56",
"57",
"61",
"63",
"64",
"72",
"74",
"76",
"78",
"81",
"84",
"89",
"91",
"96",
"98",
"104",
"106",
"108",
"111",
"112",
"113",
"114",
"117",
"122",
"126",
"128",
"131",
"133",
"144",
"147",
"148",
"151",
"152"
]
| [
"nonn"
]
| 6 | 1 | 2 | [
"A000009",
"A000040",
"A000041",
"A000670",
"A000688",
"A000720",
"A001055",
"A001221",
"A001222",
"A001414",
"A003963",
"A011782",
"A019536",
"A034691",
"A055887",
"A055932",
"A056239",
"A076610",
"A089259",
"A112798",
"A270995",
"A302242",
"A302478",
"A302492",
"A304969",
"A333217",
"A349050",
"A349055",
"A356930",
"A356935",
"A356939",
"A356940",
"A356944",
"A356945",
"A356954",
"A356955"
]
| null | Gus Wiseman, Sep 12 2022 | 2022-09-13T09:36:14 | oeisdata/seq/A356/A356955.seq | 1f3719e039e7a73a86d38997e76b82fb |
A356956 | Numbers k such that the k-th composition in standard order is a gapless interval (in increasing order). | [
"0",
"1",
"2",
"4",
"6",
"8",
"16",
"20",
"32",
"52",
"64",
"72",
"128",
"256",
"272",
"328",
"512",
"840",
"1024",
"1056",
"2048",
"2320",
"4096",
"4160",
"8192",
"10512",
"16384",
"16512",
"17440",
"26896",
"32768",
"65536",
"65792",
"131072",
"135232",
"148512",
"262144",
"262656",
"524288",
"672800",
"1048576",
"1049600",
"1065088",
"1721376"
]
| [
"nonn"
]
| 6 | 1 | 3 | [
"A001227",
"A053251",
"A055932",
"A066311",
"A073485",
"A073491",
"A073492",
"A073493",
"A107428",
"A132747",
"A137921",
"A164894",
"A286470",
"A333217",
"A356224",
"A356230",
"A356233",
"A356603",
"A356841",
"A356842",
"A356843",
"A356844",
"A356845",
"A356956"
]
| null | Gus Wiseman, Sep 24 2022 | 2022-09-26T12:54:50 | oeisdata/seq/A356/A356956.seq | 4fc9e2486766e2965d1ec6672a2baae0 |
A356957 | Number of set partitions of strict integer partitions of n into intervals, where an interval is a set of positive integers with all differences of adjacent elements equal to 1. | [
"1",
"1",
"1",
"3",
"2",
"4",
"7",
"7",
"8",
"13",
"20",
"19",
"27",
"30",
"42",
"60",
"63",
"75",
"99",
"112",
"141",
"191",
"205",
"248",
"296",
"357",
"408",
"513",
"617",
"696",
"831",
"969",
"1117",
"1337",
"1523",
"1797",
"2171",
"2420",
"2805",
"3265",
"3772",
"4289",
"5013",
"5661",
"6579",
"7679",
"8615",
"9807",
"11335",
"12799",
"14581"
]
| [
"nonn"
]
| 7 | 0 | 4 | [
"A000009",
"A000012",
"A000041",
"A000110",
"A001055",
"A001227",
"A001970",
"A010054",
"A011782",
"A055887",
"A061260",
"A073485",
"A107742",
"A270995",
"A294617",
"A304969",
"A349050",
"A349055",
"A356936",
"A356937",
"A356938",
"A356939",
"A356940",
"A356941",
"A356957"
]
| null | Gus Wiseman, Sep 13 2022 | 2022-09-14T08:26:10 | oeisdata/seq/A356/A356957.seq | 797117c6c421b121c4beac2c87a6cfa8 |
A356958 | Triangle read by rows: if n has weakly increasing prime indices (a,b,...,y,z) then row n is (b-a+1, ..., y-a+1, z-a+1). | [
"1",
"2",
"1",
"1",
"1",
"3",
"1",
"2",
"4",
"2",
"1",
"1",
"1",
"2",
"2",
"1",
"3",
"3",
"5",
"1",
"1",
"2",
"1",
"6",
"1",
"1",
"1",
"4",
"2",
"3",
"1",
"1",
"1",
"1",
"4",
"7",
"2",
"1",
"2",
"2",
"8",
"5",
"1",
"1",
"3",
"2",
"4",
"1",
"5",
"1",
"2",
"9",
"1",
"1",
"1",
"2",
"1",
"3",
"3",
"6",
"1",
"6",
"2",
"2",
"2",
"3",
"1",
"1",
"4",
"7",
"10",
"1",
"2",
"3",
"11",
"1",
"3",
"1",
"1",
"1",
"1",
"1",
"4",
"2",
"5"
]
| [
"nonn",
"tabf"
]
| 9 | 1 | 2 | [
"A001222",
"A008578",
"A055396",
"A056239",
"A112798",
"A124010",
"A241916",
"A243055",
"A246277",
"A253565",
"A325351",
"A325352",
"A326844",
"A355534",
"A355536",
"A356958",
"A358137",
"A358172",
"A358195",
"A359358"
]
| null | Gus Wiseman, Dec 27 2022 | 2022-12-28T09:04:54 | oeisdata/seq/A356/A356958.seq | 0bc9189bc0aa3a7d4d716f9ce34e068b |
A356959 | Number of length-n binary strings that can be infinitely extended to the right to form an overlap-free string. | [
"2",
"4",
"6",
"10",
"14",
"18",
"22",
"26",
"32",
"36",
"40",
"44",
"48",
"52",
"58",
"64",
"72",
"76",
"80",
"84",
"88",
"92",
"98",
"102",
"106",
"110",
"114",
"120",
"128",
"134",
"142",
"150",
"160",
"164",
"168",
"172",
"176",
"180",
"186",
"190",
"194",
"198",
"202",
"208",
"216",
"220",
"228",
"232",
"236",
"240",
"244",
"248",
"252",
"258",
"266",
"274",
"284"
]
| [
"nonn"
]
| 16 | 1 | 1 | [
"A007777",
"A356959"
]
| null | Jeffrey Shallit, Sep 06 2022 | 2022-09-08T07:53:25 | oeisdata/seq/A356/A356959.seq | 8beb61c7a0eab6f8c9dea4996a381564 |
A356960 | E.g.f. satisfies: A(x) = 1/(1 - x * A(x)^3)^A(x). | [
"1",
"1",
"10",
"207",
"6620",
"288040",
"15891234",
"1063219640",
"83665143176",
"7572321823536",
"775010639465040",
"88510236140283672",
"11158965455394331992",
"1539441941412714237912",
"230675631266761375815288",
"37309025609545822539225240",
"6478248637390494598048444224"
]
| [
"nonn"
]
| 48 | 0 | 3 | [
"A052813",
"A349556",
"A356914",
"A356960",
"A356973"
]
| null | Seiichi Manyama, Sep 07 2022 | 2023-01-05T05:15:51 | oeisdata/seq/A356/A356960.seq | 27cb9cbb7ad111eb34330da6d1dbfba9 |
A356961 | Integers k such that A014841(k) = A014841(k+1). | [
"8",
"16",
"64",
"104",
"3954",
"4146",
"7374",
"9294",
"28035",
"35166",
"37218",
"38154",
"39318",
"40578",
"42308",
"42774",
"48748",
"50214",
"67638",
"68106",
"75918",
"78882",
"87294",
"87836",
"89382",
"90642",
"94074",
"96124",
"102822",
"107324",
"108294",
"108534",
"118016",
"118806",
"131046",
"153798",
"157254",
"163182",
"166494",
"168486"
]
| [
"nonn",
"base"
]
| 10 | 1 | 1 | [
"A014841",
"A356961"
]
| null | Michel Marcus, Sep 06 2022 | 2022-09-06T20:34:30 | oeisdata/seq/A356/A356961.seq | 41abe7a3f2c280605290d76e6eddb9ab |
A356962 | E.g.f. satisfies log(A(x)) = x^2/2 * (exp(x*A(x)) - 1) * A(x). | [
"1",
"0",
"0",
"3",
"6",
"10",
"465",
"3801",
"20608",
"461196",
"7609185",
"85446955",
"1661943756",
"38070386718",
"692342989429",
"15023805426735",
"404978989779120",
"10131679290423736",
"264474729910772433",
"8059571860456028835",
"249785940327179846500",
"7837578968934515202570"
]
| [
"nonn"
]
| 10 | 0 | 4 | [
"A349557",
"A356785",
"A356951",
"A356962",
"A356963",
"A356967"
]
| null | Seiichi Manyama, Sep 06 2022 | 2022-09-06T14:05:45 | oeisdata/seq/A356/A356962.seq | 17ca6abe6a6a25babdffdce72c00578a |
A356963 | E.g.f. satisfies log(A(x)) = x^3/6 * (exp(x*A(x)) - 1) * A(x). | [
"1",
"0",
"0",
"0",
"4",
"10",
"20",
"35",
"2856",
"30324",
"205920",
"1108965",
"23266540",
"482882686",
"6894708184",
"75981906455",
"1191424314640",
"28555511625320",
"635370500529216",
"11547272842560969",
"213976417787571540",
"5165550420447656050",
"142251473243071866520",
"3624660458114853235771"
]
| [
"nonn"
]
| 9 | 0 | 5 | [
"A349557",
"A356785",
"A356952",
"A356962",
"A356963",
"A356968"
]
| null | Seiichi Manyama, Sep 06 2022 | 2022-09-06T15:09:18 | oeisdata/seq/A356/A356963.seq | 096bf8f5eeface4781fb2724e8f27914 |
A356964 | Replace 2^k in binary expansion of n with tribonacci(k+3) (where tribonacci corresponds to A000073). | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"44",
"45",
"46",
"47"
]
| [
"nonn",
"base"
]
| 16 | 0 | 3 | [
"A000073",
"A003726",
"A003796",
"A022290",
"A117546",
"A356964"
]
| null | Rémy Sigrist, Sep 06 2022 | 2022-09-11T06:13:26 | oeisdata/seq/A356/A356964.seq | dc3b507d15c6411803b16b87988b94de |
A356965 | a(n) is the sum of the tribonacci numbers in common in the greedy and lazy tribonacci representations of n. | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"0",
"8",
"9",
"10",
"11",
"12",
"0",
"1",
"15",
"16",
"17",
"18",
"19",
"13",
"21",
"22",
"23",
"0",
"1",
"2",
"3",
"28",
"29",
"30",
"24",
"32",
"33",
"34",
"35",
"36",
"24",
"25",
"39",
"40",
"41",
"42",
"43",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"52",
"53",
"54",
"55",
"56",
"44",
"45",
"59",
"60",
"61",
"62",
"63",
"57",
"65",
"66",
"67",
"44",
"45",
"46"
]
| [
"nonn",
"base"
]
| 11 | 0 | 3 | [
"A000045",
"A000073",
"A003726",
"A003796",
"A356771",
"A356899",
"A356964",
"A356965",
"A356966"
]
| null | Rémy Sigrist, Sep 06 2022 | 2022-09-11T06:13:23 | oeisdata/seq/A356/A356965.seq | ca8f1fce894898005f809ebfa0199529 |
A356966 | Numbers with no common terms in their greedy and lazy tribonacci representations. | [
"0",
"7",
"13",
"24",
"44",
"81",
"88",
"149",
"156",
"162",
"274",
"287",
"298",
"504",
"511",
"528",
"548",
"927",
"934",
"940",
"971",
"1008",
"1015",
"1705",
"1718",
"1729",
"1786",
"1793",
"1854",
"1861",
"1867",
"3136",
"3143",
"3160",
"3180",
"3285",
"3292",
"3298",
"3410",
"3423",
"3434",
"5768",
"5775",
"5781",
"5812",
"5849",
"5856",
"6042"
]
| [
"nonn"
]
| 9 | 1 | 2 | [
"A000045",
"A000073",
"A003726",
"A003796",
"A331467",
"A356965",
"A356966"
]
| null | Rémy Sigrist, Sep 06 2022 | 2022-09-10T14:01:03 | oeisdata/seq/A356/A356966.seq | dd38de74adb9f9fcb69781b67c072ba2 |
A356967 | E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x^2/2 * A(x)). | [
"1",
"0",
"0",
"3",
"6",
"20",
"540",
"4284",
"35700",
"698760",
"10591560",
"155024100",
"3231336240",
"68704908480",
"1451024062488",
"35843008924800",
"950925111973200",
"25881184257364800",
"765471782499860160",
"24210772652940214320",
"797021694060934204800",
"27752674398657594805440"
]
| [
"nonn"
]
| 10 | 0 | 4 | [
"A184949",
"A349556",
"A356752",
"A356962",
"A356967",
"A356968"
]
| null | Seiichi Manyama, Sep 06 2022 | 2022-09-06T15:09:24 | oeisdata/seq/A356/A356967.seq | 8b5f75cdb4c699089b39e396953747e9 |
A356968 | E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x^3/6 * A(x)). | [
"1",
"0",
"0",
"0",
"4",
"10",
"40",
"210",
"4144",
"40320",
"409800",
"4527600",
"72552480",
"1170449280",
"19489513680",
"338983444800",
"6672681818880",
"141166715289600",
"3149324442700800",
"73497460049395200",
"1825098639493104000",
"47984287767342796800",
"1326460667797094860800"
]
| [
"nonn"
]
| 9 | 0 | 5 | [
"A184949",
"A349556",
"A356753",
"A356963",
"A356967",
"A356968"
]
| null | Seiichi Manyama, Sep 06 2022 | 2022-09-06T14:26:48 | oeisdata/seq/A356/A356968.seq | 0c0c09cfe1f061c85b0f8cf3e6273c7a |
A356969 | A(n, k) is the sum of the terms in common in the dual Zeckendorf representations of n and of k; square array A(n, k) read by antidiagonals, n, k >= 0. | [
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"1",
"0",
"0",
"1",
"2",
"2",
"1",
"0",
"0",
"0",
"0",
"3",
"0",
"0",
"0",
"0",
"1",
"2",
"1",
"1",
"2",
"1",
"0",
"0",
"0",
"2",
"2",
"4",
"2",
"2",
"0",
"0",
"0",
"1",
"2",
"3",
"3",
"3",
"3",
"2",
"1",
"0",
"0",
"1",
"2",
"2",
"4",
"5",
"4",
"2",
"2",
"1",
"0",
"0",
"0",
"0",
"3",
"0",
"5",
"5",
"0",
"3",
"0",
"0",
"0",
"0",
"1",
"2",
"1",
"1",
"2",
"6",
"2",
"1",
"1",
"2",
"1",
"0"
]
| [
"nonn",
"base",
"tabl"
]
| 11 | 0 | 13 | [
"A003754",
"A022290",
"A334348",
"A356969"
]
| null | Rémy Sigrist, Sep 06 2022 | 2022-09-10T14:00:53 | oeisdata/seq/A356/A356969.seq | 8ff0b93b4a14467f50d0e61bd3c58ab1 |
A356970 | E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x^2 * A(x)). | [
"1",
"0",
"0",
"6",
"12",
"40",
"1980",
"16128",
"136080",
"4224960",
"70943040",
"1087178400",
"31274100000",
"784834652160",
"18115033128192",
"565994928945600",
"18161466717139200",
"560655551681971200",
"20108422243585658880",
"769928646324249699840",
"29464638272901949824000"
]
| [
"nonn"
]
| 10 | 0 | 4 | [
"A184949",
"A349556",
"A356967",
"A356970",
"A356971"
]
| null | Seiichi Manyama, Sep 07 2022 | 2022-09-12T03:05:37 | oeisdata/seq/A356/A356970.seq | e4871e9a86cd3b6304fa1ccd4ecdc932 |
A356971 | E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(x^3 * A(x)). | [
"1",
"0",
"0",
"0",
"24",
"60",
"240",
"1260",
"108864",
"1149120",
"12160800",
"138045600",
"5605649280",
"122049607680",
"2378318604480",
"45712559692800",
"1529842399303680",
"47673689320857600",
"1382823169839820800",
"38831806109898547200",
"1378613101427645184000"
]
| [
"nonn"
]
| 12 | 0 | 5 | [
"A184949",
"A349556",
"A356968",
"A356970",
"A356971"
]
| null | Seiichi Manyama, Sep 07 2022 | 2022-09-12T03:05:52 | oeisdata/seq/A356/A356971.seq | 4cc94abe8ff020181469669f2caf0dff |
A356972 | E.g.f. satisfies log(A(x)) = (exp(x * A(x)^2) - 1) * A(x). | [
"1",
"1",
"8",
"128",
"3139",
"104382",
"4393590",
"224045271",
"13428576766",
"925335827928",
"72082558060889",
"6264277731652096",
"600873473776204782",
"63059026039778220285",
"7187299097301622432156",
"884141943373486896560252",
"116756337165196381259759707",
"16474480747756013055963484442"
]
| [
"nonn"
]
| 21 | 0 | 3 | [
"A052880",
"A216135",
"A349557",
"A349601",
"A356914",
"A356972",
"A356973"
]
| null | Seiichi Manyama, Sep 07 2022 | 2022-09-08T10:43:56 | oeisdata/seq/A356/A356972.seq | df5874bc20fa5256cc5b560ec4e98e10 |
A356973 | E.g.f. satisfies log(A(x)) = (exp(x * A(x)^3) - 1) * A(x). | [
"1",
"1",
"10",
"206",
"6555",
"283777",
"15577332",
"1036984027",
"81191314678",
"7311591070938",
"744577308572189",
"84608911909469235",
"10613728203840498210",
"1456899252646375490851",
"217215453964895439271178",
"34956361099228031471844962",
"6039398076840098381458042875"
]
| [
"nonn"
]
| 14 | 0 | 3 | [
"A052880",
"A216136",
"A349557",
"A356960",
"A356972",
"A356973"
]
| null | Seiichi Manyama, Sep 07 2022 | 2022-09-08T10:39:13 | oeisdata/seq/A356/A356973.seq | 27ad0058f2f0e2f7af68d86ac863cef5 |
A356974 | Irregular triangle T(n, k) read by rows, n >= 0, k = 1..A117546(n); the n-th row contains the numbers m such that A356964(m) = n, in increasing order. | [
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"16",
"15",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"32",
"29",
"33",
"30",
"34",
"31",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"48",
"47",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"64",
"57",
"65",
"58",
"66",
"59",
"67",
"60",
"68",
"61",
"69",
"62",
"70"
]
| [
"nonn",
"tabf",
"base"
]
| 10 | 0 | 3 | [
"A000045",
"A000073",
"A003726",
"A003796",
"A117546",
"A345101",
"A356964",
"A356974"
]
| null | Rémy Sigrist, Sep 07 2022 | 2022-09-11T06:13:19 | oeisdata/seq/A356/A356974.seq | 413a69a00ec850183e9e61e7d08c5e1d |
A356975 | a(n) is the number of n-celled pseudo-polyominoes with holes. | [
"0",
"0",
"0",
"1",
"3",
"28",
"199",
"1603",
"12234",
"93270",
"697641",
"5167477",
"37913465"
]
| [
"nonn",
"hard",
"more"
]
| 8 | 1 | 5 | [
"A001419",
"A030222",
"A356975"
]
| null | John Mason, Sep 07 2022 | 2022-09-07T08:13:24 | oeisdata/seq/A356/A356975.seq | 0a05e61399d3328cb4e63abe5b9e8fd2 |
A356976 | Least positive integer m such that the numbers k^3 + 3*k (k = 1..n) are pairwise distinct modulo m. | [
"1",
"3",
"3",
"7",
"15",
"15",
"19",
"27",
"27",
"39",
"39",
"39",
"61",
"61",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"81",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243",
"243"
]
| [
"nonn"
]
| 17 | 1 | 2 | [
"A000578",
"A079908",
"A349459",
"A349530",
"A349537",
"A356976"
]
| null | Zhi-Wei Sun, Sep 07 2022 | 2022-09-07T10:23:45 | oeisdata/seq/A356/A356976.seq | 2d3b08a75dcfa76a658fa898290efeae |
A356977 | a(n) is the number of solutions, j >= 0 and 2 <= m_1 <= ... <= m_n, of the equation Sum_{k=1..n} F(m_k) = 2^j where F(i) is the i-th Fibonacci number. | [
"0",
"3",
"6",
"10",
"36",
"66"
]
| [
"nonn",
"hard",
"more"
]
| 10 | 0 | 2 | [
"A020908",
"A319394",
"A356928",
"A356977"
]
| null | Peter Munn and Jon E. Schoenfield, Sep 07 2022 | 2022-11-01T13:48:24 | oeisdata/seq/A356/A356977.seq | 1523da135be7d526fc27fa56169ed246 |
A356978 | a(n) is the first number k such that k^i is a quasi-Niven number (A209871) for 1<=i<=n but not for i=n+1. | [
"13",
"11",
"1145",
"121",
"31109",
"1510081",
"34110497",
"5343853441",
"17636269729"
]
| [
"nonn",
"base",
"more"
]
| 11 | 1 | 1 | [
"A007953",
"A209871",
"A356978"
]
| null | Robert Israel, Sep 07 2022 | 2022-09-26T20:26:45 | oeisdata/seq/A356/A356978.seq | 4ff778af2faae2d8a875898f039ea364 |
A356979 | Emirps p such that p, its digit reversal, and their squares are all quasi-Niven numbers. | [
"10253",
"35201",
"121921",
"129121",
"155851",
"158551",
"712909",
"909217",
"1005761",
"1007921",
"1010201",
"1013321",
"1020101",
"1020881",
"1032131",
"1037801",
"1084357",
"1087301",
"1100441",
"1115399",
"1233101",
"1297001",
"1312301",
"1440011",
"1564991",
"1675001",
"1880201",
"1963369",
"1994651",
"7534801",
"9633691",
"9935111",
"10000609",
"10005361"
]
| [
"nonn",
"base"
]
| 37 | 1 | 1 | [
"A004086",
"A006567",
"A007953",
"A356947",
"A356979"
]
| null | J. M. Bergot and Robert Israel, Sep 08 2022 | 2022-09-09T10:02:47 | oeisdata/seq/A356/A356979.seq | 338b1fee398726eb9d579805c01145c0 |
A356980 | Numbers k such that prime(k) can be written using only the digits of k (but they may used multiple times). | [
"137",
"187",
"321",
"917",
"1098",
"1346",
"1347",
"1349",
"1362",
"1367",
"1384",
"1395",
"1528",
"1583",
"1850",
"1859",
"1876",
"1973",
"2415",
"2490",
"2517",
"2631",
"2632",
"2970",
"3417",
"3529",
"3573",
"3575",
"3590",
"3598",
"3751",
"3785",
"3860",
"4301",
"4537",
"4591",
"4639",
"4927",
"4980",
"4983",
"5231",
"5319",
"5342",
"5790",
"6106",
"6107"
]
| [
"nonn",
"base"
]
| 29 | 1 | 1 | [
"A080794",
"A171102",
"A356980"
]
| null | Tanya Khovanova, Sep 09 2022 | 2022-09-11T19:00:58 | oeisdata/seq/A356/A356980.seq | c505e92170b9aedcbf05f8167f1b2954 |
A356981 | Numbers k such that the sum of distinct digits of k equals the sum of the prime divisors of k. | [
"2",
"3",
"5",
"7",
"84",
"144",
"160",
"250",
"343",
"468",
"735",
"936",
"975",
"1125",
"1215",
"1375",
"1408",
"1600",
"1694",
"1872",
"2401",
"2500",
"2646",
"2880",
"3920",
"4913",
"6084",
"6318",
"6860",
"7296",
"7695",
"8624",
"8704",
"8788",
"9126",
"10125",
"10240",
"10816",
"11264",
"12672",
"12675",
"14641",
"14896",
"16000"
]
| [
"nonn",
"base"
]
| 23 | 1 | 1 | [
"A070275",
"A217928",
"A356981"
]
| null | Tanya Khovanova, Sep 09 2022 | 2022-09-14T02:06:26 | oeisdata/seq/A356/A356981.seq | fb954438ef67a0495b3cee4de94dbb9c |
A356982 | Fixed point of the morphism 0->010, 1->000. | [
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
"0"
]
| [
"nonn",
"easy"
]
| 39 | 1 | null | [
"A182581",
"A189628",
"A253786",
"A356982"
]
| null | Michel Dekking, Sep 09 2022 | 2023-11-09T20:14:02 | oeisdata/seq/A356/A356982.seq | 8d41b1b71f9e7d1e658f2c2f5367eb22 |
A356983 | Decimal expansion of Pi * e^(-Pi/2). | [
"6",
"5",
"3",
"0",
"7",
"2",
"9",
"4",
"9",
"8",
"9",
"4",
"9",
"1",
"2",
"1",
"3",
"1",
"3",
"8",
"9",
"5",
"3",
"1",
"8",
"8",
"1",
"1",
"1",
"7",
"2",
"2",
"5",
"4",
"3",
"1",
"5",
"6",
"7",
"6",
"0",
"0",
"1",
"4",
"5",
"3",
"6",
"8",
"3",
"6",
"9",
"1",
"1",
"6",
"9",
"4",
"6",
"7",
"9",
"7",
"8",
"2",
"7",
"5",
"5",
"1",
"9",
"2",
"2",
"5",
"8",
"5",
"7",
"6",
"0",
"9",
"0",
"8",
"5",
"2",
"2",
"3",
"4",
"3",
"7",
"7",
"3",
"8",
"5",
"3",
"9",
"5",
"3",
"1",
"8",
"2",
"4"
]
| [
"nonn",
"cons"
]
| 19 | 0 | 1 | [
"A000796",
"A001113",
"A049006",
"A356983"
]
| null | Christoph B. Kassir, Sep 07 2022 | 2022-10-05T05:07:26 | oeisdata/seq/A356/A356983.seq | 518876535c43cd3125f783fcdab37a7f |
A356984 | Number of regions in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. | [
"1",
"4",
"13",
"28",
"49",
"70",
"109",
"148",
"181",
"244",
"301",
"334",
"433",
"508",
"565",
"676",
"769",
"811",
"973",
"1069",
"1165",
"1324",
"1453",
"1534",
"1729",
"1876",
"1957",
"2182",
"2353",
"2446",
"2701",
"2884",
"3013",
"3268",
"3454",
"3538",
"3889",
"4108",
"4261",
"4519",
"4801",
"4960",
"5293",
"5536",
"5668",
"6076",
"6349",
"6502",
"6913",
"7204",
"7405",
"7798",
"8113"
]
| [
"nonn"
]
| 70 | 0 | 2 | [
"A092098",
"A092867",
"A332953",
"A343755",
"A356984",
"A357007",
"A357008"
]
| null | Scott R. Shannon, Sep 08 2022 | 2022-12-06T15:51:55 | oeisdata/seq/A356/A356984.seq | b84ecf5b8c98a0fd43b6dd78856c7007 |
A356985 | Numbers k that divide the concatenation of sigma(k-1) and sigma(k+1). | [
"2",
"55",
"56",
"93",
"170",
"944",
"1904",
"2839",
"3104",
"4213",
"4793",
"4953",
"5664",
"35120",
"48456",
"145256",
"213416",
"224288",
"267084",
"276736",
"310897",
"366624",
"627850",
"802024",
"837801",
"1093671",
"1451332",
"2036312",
"2909925",
"3888750",
"4373000",
"4746840",
"6754320",
"6819840",
"13327155",
"18807624"
]
| [
"nonn",
"base"
]
| 21 | 1 | 1 | [
"A000203",
"A356985"
]
| null | Michael S. Branicky and Giorgos Kalogeropoulos, Sep 08 2022 | 2022-09-11T15:17:50 | oeisdata/seq/A356/A356985.seq | 092e268e750ed6f1e725d21598a42b2e |
A356986 | a(n) = (A283869(n)-1)/60. | [
"1",
"11",
"20",
"71",
"85",
"102",
"106",
"207",
"209",
"214",
"232",
"256",
"284",
"305",
"330",
"361",
"447",
"522",
"615",
"792",
"902",
"932",
"935",
"1189",
"1345",
"1387",
"1457",
"1523",
"1686",
"1796",
"1824",
"2108",
"2141",
"2164",
"2185",
"2260",
"2449",
"2519",
"2526",
"2958",
"3191",
"3329",
"3366",
"3681",
"3956",
"3970",
"4253",
"4304",
"4421"
]
| [
"nonn"
]
| 8 | 1 | 2 | [
"A005383",
"A283869",
"A356986"
]
| null | Zak Seidov, Sep 08 2022 | 2022-10-09T21:21:00 | oeisdata/seq/A356/A356986.seq | 262412adf75dc600feddc9d3529137c0 |
A356987 | Primes whose decimal expansion is 1, zero or more 0's, then a single digit. | [
"11",
"13",
"17",
"19",
"101",
"103",
"107",
"109",
"1009",
"10007",
"10009",
"100003",
"1000003",
"100000007",
"1000000007",
"1000000009",
"100000000003",
"100000000000000003",
"1000000000000000003",
"1000000000000000009",
"10000000000000000000009",
"1000000000000000000000007"
]
| [
"nonn",
"base"
]
| 49 | 1 | 1 | [
"A049054",
"A088274",
"A088275",
"A139054",
"A159031",
"A159352",
"A356987"
]
| null | Marco Ripà, Sep 08 2022 | 2023-01-08T11:48:17 | oeisdata/seq/A356/A356987.seq | 008ccb2ed226a97d1f38ab088141957d |
A356988 | a(n) = n - a^[2](n - a^[3](n-1)) with a(1) = 1, where a^[2](n) = a(a(n)) and a^[3](n) = a(a(a(n))). | [
"1",
"1",
"2",
"3",
"3",
"4",
"5",
"5",
"6",
"7",
"8",
"8",
"8",
"9",
"10",
"11",
"12",
"13",
"13",
"13",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"21",
"21",
"21",
"21",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"34",
"34",
"34",
"34",
"34",
"34",
"34",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"55",
"55",
"55",
"55",
"55"
]
| [
"nonn",
"easy"
]
| 25 | 1 | 3 | [
"A000032",
"A000045",
"A001611",
"A006165",
"A022114",
"A022120",
"A022367",
"A104449",
"A356988",
"A356989",
"A356990",
"A356991",
"A356999"
]
| null | Peter Bala, Sep 08 2022 | 2022-10-26T07:59:05 | oeisdata/seq/A356/A356988.seq | a4565a9385d8ef2b47e90561506a5664 |
A356989 | a(n) = n - a^[3](n - a^[4](n-1)) with a(1) = 1, where a^[3](n) = a(a(a(n))) and a^[4](n) = a(a(a(a(n)))). | [
"1",
"1",
"2",
"3",
"4",
"4",
"5",
"6",
"6",
"7",
"8",
"9",
"9",
"10",
"11",
"12",
"13",
"13",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"19",
"19",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"28",
"28",
"28",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"41",
"41",
"41",
"41",
"41",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"60",
"60",
"60"
]
| [
"nonn",
"easy"
]
| 10 | 1 | 3 | [
"A000930",
"A006165",
"A179070",
"A356988",
"A356989",
"A356990"
]
| null | Peter Bala, Sep 08 2022 | 2022-10-01T00:22:15 | oeisdata/seq/A356/A356989.seq | e2f7f65b6bde6f1d1b68859910671e4b |
A356990 | a(n) = n - a^[4](n - a^[5](n-1)) with a(1) = 1, where a^[4](n) = a(a(a(a(n)))) and a^[5](n) = a(a(a(a(a(n))))). | [
"1",
"1",
"2",
"3",
"4",
"5",
"5",
"6",
"7",
"7",
"8",
"9",
"10",
"10",
"11",
"12",
"13",
"14",
"14",
"15",
"16",
"17",
"18",
"19",
"19",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"26",
"26",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"36",
"36",
"36",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"48",
"49",
"50",
"50",
"50",
"50",
"50",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"69",
"69",
"69",
"69",
"69",
"69",
"69",
"69",
"70",
"71"
]
| [
"nonn",
"easy"
]
| 9 | 1 | 3 | [
"A003269",
"A006165",
"A014101",
"A356988",
"A356989",
"A356990"
]
| null | Peter Bala, Sep 08 2022 | 2022-10-01T13:11:25 | oeisdata/seq/A356/A356990.seq | 5a326a43e761cd3b46081a01e3e0d27e |
A356991 | a(n) = b(n) + b(n - b(n)) for n >= 2, where b(n) = A356998(n). | [
"2",
"3",
"4",
"4",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
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"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"43",
"44",
"45",
"46",
"47",
"47",
"47",
"47",
"48",
"49",
"50",
"51",
"52",
"53",
"54",
"55",
"56",
"57",
"58",
"59",
"60",
"61",
"62",
"63",
"64",
"65",
"66",
"67",
"68",
"69",
"70",
"71",
"72",
"73",
"74",
"75",
"76",
"76",
"76",
"76",
"76",
"76",
"77",
"78",
"79",
"80"
]
| [
"nonn",
"easy"
]
| 14 | 2 | 1 | [
"A000032",
"A000045",
"A022087",
"A356988",
"A356991",
"A356992",
"A356999"
]
| null | Peter Bala, Sep 08 2022 | 2022-10-13T12:53:26 | oeisdata/seq/A356/A356991.seq | 6062155b20ee2143a071f4c0cf0b3ee1 |
A356992 | Then a(n) = n - b(n - b(n - b(n - b(n - b(n - b(n)))))) for n >= 2, where b(n) = A356988(n). | [
"1",
"2",
"3",
"4",
"4",
"4",
"5",
"6",
"7",
"7",
"7",
"8",
"9",
"10",
"11",
"11",
"11",
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"12",
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"31",
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"47",
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"47",
"47",
"47",
"47",
"47",
"47",
"47",
"47",
"47",
"48"
]
| [
"nonn",
"easy"
]
| 10 | 2 | 2 | [
"A000032",
"A000045",
"A013655",
"A356988",
"A356991",
"A356992",
"A356999"
]
| null | Peter Bala, Sep 08 2022 | 2022-10-13T12:53:36 | oeisdata/seq/A356/A356992.seq | 6bb4abfbbf5e21c2c202d553c7eb1a46 |
A356993 | a(n) = b(n - b(n - b(n - b(n)))) for n >= 2, where b(n) = A356988(n). | [
"1",
"1",
"1",
"1",
"2",
"2",
"3",
"3",
"3",
"3",
"4",
"4",
"4",
"5",
"5",
"5",
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"13",
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"13",
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"18",
"18",
"19",
"20",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"29",
"29",
"29"
]
| [
"nonn",
"easy"
]
| 19 | 2 | 5 | [
"A000032",
"A000045",
"A000285",
"A022087",
"A356988",
"A356991",
"A356993",
"A356999"
]
| null | Peter Bala, Sep 09 2022 | 2023-12-10T09:24:44 | oeisdata/seq/A356/A356993.seq | a0b84f3c27c602ff03db88180a18e3f7 |
A356994 | a(n) = n - b(b(b(n))), where b(n) = A356988(n). | [
"0",
"1",
"2",
"3",
"4",
"4",
"5",
"6",
"6",
"7",
"8",
"9",
"10",
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"10",
"11",
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"14",
"15",
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"42",
"42",
"42",
"42",
"42",
"42",
"42",
"42",
"43",
"44",
"45"
]
| [
"nonn",
"easy"
]
| 13 | 1 | 3 | [
"A000045",
"A356988",
"A356991",
"A356992",
"A356993",
"A356994",
"A356995",
"A356996",
"A356997",
"A356998",
"A356999"
]
| null | Peter Bala, Sep 09 2022 | 2023-08-10T01:54:36 | oeisdata/seq/A356/A356994.seq | 02fdc4e5a376d592d19b6d2b5fd63608 |
A356995 | a(n) = b(n) - b(b(n)) - b(n - b(n)) for n >= 3, where b(n) = A356988(n). | [
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"1",
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"1",
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"5",
"4",
"3",
"2",
"1",
"0",
"0",
"0",
"0",
"0",
"0"
]
| [
"nonn",
"easy"
]
| 12 | 3 | 16 | [
"A000032",
"A000045",
"A356988",
"A356991",
"A356995",
"A356999"
]
| null | Peter Bala, Sep 09 2022 | 2022-10-13T12:53:57 | oeisdata/seq/A356/A356995.seq | 00fae97dcdcccdac76af9f952b20b1a2 |
A356996 | a(n) = b(n) - b(b(n)) - b(n - b(n)) for n >= 3, where b(n) = A356989(n). | [
"0",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"1",
"0",
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"1",
"2",
"3",
"4",
"5",
"6",
"5",
"4",
"3",
"2",
"1",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"8",
"9",
"8",
"7",
"6",
"5",
"4",
"3",
"2",
"1",
"0"
]
| [
"nonn",
"easy"
]
| 15 | 3 | 23 | [
"A000930",
"A164316",
"A179070",
"A356989",
"A356995",
"A356996",
"A356997"
]
| null | Peter Bala, Sep 10 2022 | 2023-05-13T08:26:42 | oeisdata/seq/A356/A356996.seq | cb088a8ca8b10c0596165eab17e78809 |
A356997 | a(n) = b(n) - b(n - b(n - b(n))) for n >= 2, where b(n) = A356988(n). | [
"0",
"1",
"1",
"0",
"1",
"1",
"1",
"1",
"2",
"2",
"2",
"1",
"1",
"2",
"3",
"3",
"3",
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"5",
"5",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"13",
"12",
"11",
"10",
"9",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"8",
"9",
"10",
"11"
]
| [
"nonn",
"easy"
]
| 16 | 2 | 9 | [
"A000045",
"A356988",
"A356991",
"A356997",
"A356999"
]
| null | Peter Bala, Sep 11 2022 | 2025-01-01T09:54:17 | oeisdata/seq/A356/A356997.seq | 9352a21b804bb246dbbcc10c0c152d66 |
A356998 | a(n) = b(n) - b(n - b(n)) for n >= 2, where b(n) = A356988(n). | [
"0",
"1",
"2",
"2",
"3",
"4",
"3",
"4",
"5",
"6",
"5",
"5",
"6",
"7",
"8",
"9",
"10",
"9",
"8",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"15",
"14",
"13",
"13",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"25",
"24",
"23",
"22",
"21",
"21",
"21",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"35",
"36",
"37",
"38",
"39",
"40",
"41",
"42",
"41",
"40",
"39",
"38",
"37",
"36",
"35",
"34",
"34",
"34",
"34",
"34",
"34",
"35",
"36",
"37"
]
| [
"nonn",
"easy"
]
| 13 | 2 | 3 | [
"A000032",
"A000045",
"A356988",
"A356991",
"A356998",
"A356999"
]
| null | Peter Bala, Sep 11 2022 | 2022-10-13T05:55:34 | oeisdata/seq/A356/A356998.seq | 5f09b90044e53d817910d1ce56055a00 |
A356999 | a(n) = 2*A356988(n) - n. | [
"1",
"0",
"1",
"2",
"1",
"2",
"3",
"2",
"3",
"4",
"5",
"4",
"3",
"4",
"5",
"6",
"7",
"8",
"7",
"6",
"5",
"6",
"7",
"8",
"9",
"10",
"11",
"12",
"13",
"12",
"11",
"10",
"9",
"8",
"9",
"10",
"11",
"12",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"20",
"19",
"18",
"17",
"16",
"15",
"14",
"13",
"14",
"15",
"16",
"17",
"18",
"19",
"20",
"21",
"22",
"23",
"24",
"25",
"26",
"27",
"28",
"29",
"30",
"31",
"32",
"33",
"34",
"33",
"32"
]
| [
"nonn",
"easy"
]
| 13 | 1 | 4 | [
"A000032",
"A000045",
"A356988",
"A356991",
"A356998",
"A356999"
]
| null | Peter Bala, Sep 13 2022 | 2023-01-04T03:08:03 | oeisdata/seq/A356/A356999.seq | 4b9ff224121f63c0a106716e75addb18 |
A357000 | Number of non-isomorphic cyclic Haar graphs on 2*n nodes. | [
"1",
"2",
"3",
"5",
"5",
"12",
"9",
"22",
"21",
"44",
"29",
"157",
"73",
"244",
"367",
"649",
"521",
"2624",
"1609",
"7385",
"8867",
"19400",
"16769",
"92529",
"67553",
"216274",
"277191",
"815557",
"662369",
"4500266",
"2311469"
]
| [
"nonn",
"more"
]
| 25 | 1 | 2 | [
"A002729",
"A008965",
"A049287",
"A091696",
"A137706",
"A291166",
"A333764",
"A339502",
"A357000",
"A357001",
"A357002",
"A357003",
"A357004",
"A357005",
"A357006"
]
| null | Pontus von Brömssen, Sep 08 2022 | 2023-06-28T07:49:47 | oeisdata/seq/A357/A357000.seq | 1847de1be7f1cdd439a876220f650269 |
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