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1999-12-11 03:00:00
2025-04-28 00:58:08
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A360901
G.f. satisfies A(x) = 1 + x/(1 + x^4)^2 * A(x/(1 + x^4)).
[ "1", "1", "1", "1", "1", "-1", "-4", "-8", "-13", "-16", "-3", "39", "126", "273", "411", "283", "-619", "-3149", "-8201", "-14496", "-14368", "12984", "109920", "329552", "655436", "785583", "-312525", "-5009034", "-16789151", "-36433571", "-48990090", "6965306", "286109557", "1044072824", "2414264953", "3490255449", "-41486331" ]
[ "sign" ]
8
0
7
[ "A352865", "A360893", "A360900", "A360901" ]
null
Seiichi Manyama, Feb 25 2023
2023-02-25T09:39:29
oeisdata/seq/A360/A360901.seq
bb6557f4859adc09b683cc7461006067
A360902
Numbers with the same number of squarefree divisors and powerful divisors.
[ "1", "4", "9", "25", "36", "48", "49", "80", "100", "112", "121", "162", "169", "176", "196", "208", "225", "272", "289", "304", "361", "368", "405", "441", "464", "484", "496", "529", "567", "592", "656", "676", "688", "720", "752", "841", "848", "891", "900", "944", "961", "976", "1008", "1053", "1072", "1089", "1136", "1156", "1168", "1200", "1225", "1250", "1264" ]
[ "nonn" ]
12
1
2
[ "A000005", "A001248", "A001694", "A005117", "A005361", "A007947", "A034444", "A057521", "A062503", "A138302", "A178739", "A179747", "A246655", "A360902", "A360903", "A360904", "A360905" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:36
oeisdata/seq/A360/A360902.seq
6e3ba0f14ae8d4d0ebbabb56a32766bd
A360903
a(n) is the least number that has exactly 2^n squarefree divisors and exactly 2^n powerful divisors.
[ "1", "4", "36", "720", "25200", "1940400", "227026800", "42454011600", "10486140865200", "3858899838393600", "1902437620328044800", "1120535758373218387200", "953575930375608847507200", "977415328634999068694880000", "1218836914807843838662515360000", "1775845384875028472931284879520000" ]
[ "nonn" ]
10
0
2
[ "A005361", "A025487", "A034444", "A360902", "A360903" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:32
oeisdata/seq/A360/A360903.seq
98b95a8f4482175bf519b330c6c4d7eb
A360904
Numbers k such that k and k+1 both have the same number of squarefree divisors and powerful divisors.
[ "48", "2511", "5328", "6723", "7856", "10287", "15471", "15632", "16640", "18063", "20816", "28592", "33124", "36368", "38799", "39600", "40400", "40816", "54512", "57121", "60624", "67472", "75248", "79375", "83024", "88047", "93231", "101168", "119375", "126927", "134703", "137456", "146688", "147824", "148224", "154448", "160624" ]
[ "nonn" ]
9
1
1
[ "A005361", "A034444", "A360902", "A360904", "A360905" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:39
oeisdata/seq/A360/A360904.seq
ae6a4ac09d1f6f49746576ae40def3df
A360905
Starts of run of 3 consecutive integers that are all terms of A360902.
[ "7939375", "12799375", "20410623", "30466287", "56661199", "83365119", "105146991", "197479375", "235838223", "259360623", "293380623", "555499375", "657880623", "691579375", "871374591", "871720623", "953280495", "975079375", "996393391", "1032100623", "1047979375", "1096579375", "1348000623", "1355419375" ]
[ "nonn" ]
9
1
1
[ "A005361", "A034444", "A360902", "A360903", "A360905" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:50
oeisdata/seq/A360/A360905.seq
4eeb3a07e6f9b351b918bda490aded98
A360906
Numbers with the same number of cubefree divisors and 3-full divisors.
[ "1", "16", "81", "384", "625", "640", "896", "1296", "1408", "1664", "2176", "2401", "2432", "2944", "3712", "3968", "4374", "4736", "5248", "5504", "6016", "6784", "7552", "7808", "8576", "9088", "9216", "9344", "10000", "10112", "10624", "10935", "11392", "12416", "12928", "13184", "13696", "13952", "14464", "14641", "15309", "16256", "16768" ]
[ "nonn" ]
12
1
2
[ "A000005", "A004709", "A007948", "A030514", "A073184", "A113849", "A179664", "A190867", "A246655", "A360540", "A360902", "A360906", "A360907" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:47
oeisdata/seq/A360/A360906.seq
abf9dec57ad4d9b9e5d6e489ca469de3
A360907
Numbers k such that k and k+1 both have the same number of cubefree divisors and 3-full divisors.
[ "916352", "3002751", "13080447", "22598271", "26110592", "28909952", "45706112", "49472127", "52890624", "53391231", "56190591", "58471552", "63468927", "65148543", "67947903", "69780608", "84744063", "89376128", "93142143", "94974848", "143530623", "143683712", "145770111", "155847807", "165925503", "177109375" ]
[ "nonn" ]
9
1
1
[ "A073184", "A190867", "A360906", "A360907" ]
null
Amiram Eldar, Feb 25 2023
2023-02-26T03:26:43
oeisdata/seq/A360/A360907.seq
846a3dc502314d642c2c68984d5ba013
A360908
Multiplicative with a(p^e) = 2*e - 1.
[ "1", "1", "1", "3", "1", "1", "1", "5", "3", "1", "1", "3", "1", "1", "1", "7", "1", "3", "1", "3", "1", "1", "1", "5", "3", "1", "5", "3", "1", "1", "1", "9", "1", "1", "1", "9", "1", "1", "1", "5", "1", "1", "1", "3", "3", "1", "1", "7", "3", "3", "1", "3", "1", "5", "1", "5", "1", "1", "1", "3", "1", "1", "3", "11", "1", "1", "1", "3", "1", "1", "1", "15", "1", "1", "3", "3", "1", "1", "1", "7", "7", "1", "1", "3", "1", "1" ]
[ "nonn", "mult" ]
20
1
4
[ "A048691", "A322327", "A360908", "A361430", "A367822" ]
null
Vaclav Kotesovec, Feb 25 2023
2025-03-25T08:57:15
oeisdata/seq/A360/A360908.seq
355c23c634a0527ed8942134103916d3
A360909
Multiplicative with a(p^e) = 3*e + 2.
[ "1", "5", "5", "8", "5", "25", "5", "11", "8", "25", "5", "40", "5", "25", "25", "14", "5", "40", "5", "40", "25", "25", "5", "55", "8", "25", "11", "40", "5", "125", "5", "17", "25", "25", "25", "64", "5", "25", "25", "55", "5", "125", "5", "40", "40", "25", "5", "70", "8", "40", "25", "40", "5", "55", "25", "55", "25", "25", "5", "200", "5", "25", "40", "20", "25", "125", "5", "40", "25", "125" ]
[ "nonn", "mult" ]
19
1
2
[ "A000005", "A005361", "A048691", "A048785", "A226602", "A322327", "A322328", "A343443", "A360908", "A360909", "A360910", "A360911", "A360996", "A360997" ]
null
Vaclav Kotesovec, Feb 25 2023
2023-02-28T03:39:54
oeisdata/seq/A360/A360909.seq
1e6d73ecb9a095084a6819dafeaf26ea
A360910
Multiplicative with a(p^e) = 3*e - 1.
[ "1", "2", "2", "5", "2", "4", "2", "8", "5", "4", "2", "10", "2", "4", "4", "11", "2", "10", "2", "10", "4", "4", "2", "16", "5", "4", "8", "10", "2", "8", "2", "14", "4", "4", "4", "25", "2", "4", "4", "16", "2", "8", "2", "10", "10", "4", "2", "22", "5", "10", "4", "10", "2", "16", "4", "16", "4", "4", "2", "20", "2", "4", "10", "17", "4", "8", "2", "10", "4", "8", "2", "40", "2", "4", "10", "10", "4", "8", "2" ]
[ "nonn", "mult" ]
13
1
2
[ "A048785", "A226602", "A360908", "A360909", "A360910", "A360911" ]
null
Vaclav Kotesovec, Feb 25 2023
2023-02-25T12:13:03
oeisdata/seq/A360/A360910.seq
3692b85a4a56b7daa0aada0aae076d80
A360911
Multiplicative with a(p^e) = 3*e - 2.
[ "1", "1", "1", "4", "1", "1", "1", "7", "4", "1", "1", "4", "1", "1", "1", "10", "1", "4", "1", "4", "1", "1", "1", "7", "4", "1", "7", "4", "1", "1", "1", "13", "1", "1", "1", "16", "1", "1", "1", "7", "1", "1", "1", "4", "4", "1", "1", "10", "4", "4", "1", "4", "1", "7", "1", "7", "1", "1", "1", "4", "1", "1", "4", "16", "1", "1", "1", "4", "1", "1", "1", "28", "1", "1", "4", "4", "1", "1", "1", "10", "10", "1", "1", "4" ]
[ "nonn", "mult" ]
11
1
4
[ "A048785", "A226602", "A360909", "A360910", "A360911" ]
null
Vaclav Kotesovec, Feb 25 2023
2023-02-25T12:14:14
oeisdata/seq/A360/A360911.seq
cd1b9f362556bad267622628ce011deb
A360912
Records in A355432.
[ "0", "1", "2", "4", "8", "10", "14", "16", "21", "23", "26", "33", "34", "39", "44", "51", "52", "54", "55", "58", "67", "70", "76", "77", "80", "83", "84", "95", "98", "104", "119", "124", "133", "134", "142", "148", "153", "160", "164", "168", "169", "172", "174", "178", "186", "191", "197", "201", "210", "217", "223", "229", "235", "236", "243", "252", "253", "255", "262", "266", "273", "276", "284", "294", "303", "309", "314" ]
[ "nonn" ]
4
1
3
[ "A355432", "A360589", "A360912" ]
null
Michael De Vlieger, Mar 05 2023
2023-03-05T11:27:20
oeisdata/seq/A360/A360912.seq
86187449c14ab516172f9b7bfc49dc37
A360913
Array read by antidiagonals: T(m,n) is the number of maximum induced cycles in the grid graph P_m X P_n.
[ "1", "2", "2", "3", "1", "3", "4", "1", "1", "4", "5", "1", "7", "1", "5", "6", "1", "17", "17", "1", "6", "7", "1", "31", "90", "31", "1", "7", "8", "1", "8", "284", "284", "8", "1", "8", "9", "1", "40", "9", "1398", "9", "40", "1", "9", "10", "1", "120", "163", "10", "10", "163", "120", "1", "10", "11", "1", "8", "1329", "382", "23", "382", "1329", "8", "1", "11", "12", "1", "64", "128", "6098", "190", "190", "6098", "128", "64", "1", "12" ]
[ "nonn", "tabl" ]
10
2
2
[ "A360196", "A360913", "A360914", "A360915", "A360916", "A360918" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360913.seq
24a64dc47905e53c5e64303c7be9495a
A360914
Number of maximum induced cycles in the n X n grid graph.
[ "0", "1", "1", "7", "90", "1398", "23", "2100", "6840", "2912", "416", "1344", "102198", "1643968", "42592", "48128", "1120128" ]
[ "nonn", "more" ]
8
1
4
[ "A297664", "A357357", "A360913", "A360914" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360914.seq
8ea06e195d3724253432f73813864ea4
A360915
Array read by antidiagonals: T(m,n) is the length of the longest induced cycle in the grid graph P_m X P_n.
[ "4", "4", "4", "4", "8", "4", "4", "10", "10", "4", "4", "12", "12", "12", "4", "4", "14", "14", "14", "14", "4", "4", "16", "16", "16", "16", "16", "4", "4", "18", "20", "18", "18", "20", "18", "4", "4", "20", "22", "24", "20", "24", "22", "20", "4", "4", "22", "24", "26", "28", "28", "26", "24", "22", "4", "4", "24", "28", "28", "30", "32", "30", "28", "28", "24", "4", "4", "26", "30", "32", "32", "36", "36", "32", "32", "30", "26", "4" ]
[ "nonn", "tabl" ]
11
2
1
[ "A357357", "A360196", "A360913", "A360915", "A360917", "A360920" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360915.seq
a7cbcdfd15957f6d90df8321ce4d93df
A360916
Array read by antidiagonals: T(m,n) is the number of maximum induced paths in the grid graph P_m X P_n.
[ "1", "1", "1", "1", "4", "1", "1", "2", "2", "1", "1", "6", "8", "6", "1", "1", "2", "14", "14", "2", "1", "1", "8", "18", "84", "18", "8", "1", "1", "2", "2", "26", "26", "2", "2", "1", "1", "10", "4", "32", "56", "32", "4", "10", "1", "1", "2", "6", "16", "4", "4", "16", "6", "2", "1", "1", "12", "8", "152", "24", "136", "24", "152", "8", "12", "1", "1", "2", "10", "48", "32", "10", "10", "32", "48", "10", "2", "1" ]
[ "nonn", "tabl" ]
10
1
5
[ "A331986", "A360199", "A360913", "A360916", "A360917", "A360918" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360916.seq
4003e4ed196f47a5673e7eb270861135
A360917
Array read by antidiagonals: T(m,n) is the number of vertices in the longest induced path in the grid graph P_m X P_n.
[ "1", "2", "2", "3", "3", "3", "4", "5", "5", "4", "5", "6", "7", "6", "5", "6", "8", "9", "9", "8", "6", "7", "9", "11", "11", "11", "9", "7", "8", "11", "14", "14", "14", "14", "11", "8", "9", "12", "16", "17", "17", "17", "16", "12", "9", "10", "14", "18", "20", "21", "21", "20", "18", "14", "10", "11", "15", "20", "22", "24", "24", "24", "22", "20", "15", "11", "12", "17", "22", "25", "27", "29", "29", "27", "25", "22", "17", "12" ]
[ "nonn", "tabl" ]
16
1
2
[ "A331968", "A360199", "A360915", "A360916", "A360917", "A360920" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360917.seq
d69c7329d4a11d3966e59a792d5121de
A360918
Array read by antidiagonals: T(m,n) is the number of maximum induced trees in the grid graph P_m X P_n.
[ "1", "1", "1", "1", "4", "1", "1", "2", "2", "1", "1", "10", "10", "10", "1", "1", "4", "26", "26", "4", "1", "1", "24", "2", "32", "2", "24", "1", "1", "8", "10", "50", "50", "10", "8", "1", "1", "56", "50", "56", "22", "56", "50", "56", "1", "1", "16", "194", "64", "608", "608", "64", "194", "16", "1", "1", "128", "4", "72", "182", "4120", "182", "72", "4", "128", "1", "1", "32", "32", "80", "16", "208", "208", "16", "80", "32", "32", "1" ]
[ "nonn", "tabl" ]
11
1
5
[ "A360202", "A360847", "A360913", "A360916", "A360918", "A360919", "A360920" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360918.seq
2317765650f7ada941ab466327753521
A360919
Number of maximum induced trees in the n X n grid graph.
[ "1", "4", "10", "32", "22", "4120", "488", "65864", "166", "1296", "872", "37652512", "678412", "1858036816", "337856" ]
[ "nonn", "more" ]
11
1
2
[ "A360203", "A360918", "A360919", "A360921" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360919.seq
7bc5a888351f156ccbb6358f4ff194f0
A360920
Array read by antidiagonals: T(m,n) is the maximum number of vertices in an induced tree in the grid graph P_m X P_n.
[ "1", "2", "2", "3", "3", "3", "4", "5", "5", "4", "5", "6", "7", "6", "5", "6", "8", "9", "9", "8", "6", "7", "9", "12", "12", "12", "9", "7", "8", "11", "14", "15", "15", "14", "11", "8", "9", "12", "16", "18", "19", "18", "16", "12", "9", "10", "14", "18", "21", "22", "22", "21", "18", "14", "10", "11", "15", "21", "24", "26", "26", "26", "24", "21", "15", "11", "12", "17", "23", "27", "30", "31", "31", "30", "27", "23", "17", "12" ]
[ "nonn", "tabl" ]
12
1
2
[ "A360915", "A360917", "A360918", "A360920", "A360921" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360920.seq
e69f97c0d9f046b869f08c5de0abaafb
A360921
Maximum number of vertices in an induced tree in the n X n grid graph.
[ "1", "3", "7", "12", "19", "26", "36", "46", "59", "72", "87", "102", "120", "138", "159" ]
[ "nonn", "more" ]
6
1
2
[ "A331968", "A357357", "A360919", "A360920", "A360921" ]
null
Andrew Howroyd, Feb 26 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360921.seq
c7054bae48249d9aeda12c26d29ce5cf
A360922
Array read by antidiagonals: T(m,n) is the number of acyclic orientations in the grid graph P_m X P_n.
[ "1", "2", "2", "4", "14", "4", "8", "98", "98", "8", "16", "686", "2398", "686", "16", "32", "4802", "58670", "58670", "4802", "32", "64", "33614", "1435414", "5015972", "1435414", "33614", "64", "128", "235298", "35118638", "428816558", "428816558", "35118638", "235298", "128", "256", "1647086", "859207558", "36659327366", "128091434266", "36659327366", "859207558", "1647086", "256" ]
[ "nonn", "tabl" ]
9
1
2
[ "A000079", "A080690", "A109808", "A116469", "A178435", "A207868", "A360922" ]
null
Andrew Howroyd, Mar 07 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360922.seq
feba3590ea5bde078744401a7484364a
A360923
Table T(i,j), i >= 0, j >= 0, read by antidiagonals giving the smallest number of moves needed to win Integer Lunar Lander, starting from position (i,j). Game rules in comments.
[ "0", "2", "1", "3", "3", "4", "4", "4", "5", "7", "4", "5", "6", "7", "9", "5", "5", "6", "8", "10", "12", "5", "6", "7", "8", "10", "12", "14", "6", "6", "7", "9", "10", "12", "14", "17", "6", "7", "8", "9", "11", "13", "15", "17", "19", "6", "7", "8", "9", "11", "13", "15", "17", "19", "21", "7", "7", "8", "10", "11", "13", "15", "17", "19", "22", "24", "7", "8", "9", "10", "12", "13", "15", "17", "20", "22", "24", "26" ]
[ "nonn", "tabl", "nice" ]
81
0
2
[ "A360923", "A360924", "A360925", "A360926" ]
null
Allan C. Wechsler, Feb 25 2023, using information about the original game from Eric Angelini, Hans Havermann, and M. F. Hasler, and data from Tom Karzes.
2023-03-01T14:51:01
oeisdata/seq/A360/A360923.seq
3a743dc59e87ba99492426cf2cc383d1
A360924
Smallest number of moves needed to win Integer Lunar Lander with starting position (0,n).
[ "0", "2", "3", "4", "4", "5", "5", "6", "6", "6", "7", "7", "7", "8", "8", "8", "8", "9", "9", "9", "9", "10", "10", "10", "10", "10", "11", "11", "11", "11", "11", "12", "12", "12", "12", "12", "12", "13", "13", "13", "13", "13", "13", "14", "14", "14", "14", "14", "14", "14", "15", "15", "15", "15", "15", "15", "15", "16", "16", "16", "16", "16", "16", "16", "16", "17", "17", "17", "17", "17", "17", "17", "17", "18", "18", "18" ]
[ "nonn" ]
35
0
2
[ "A000267", "A027434", "A360923", "A360924", "A360925", "A360926" ]
null
Allan C. Wechsler, Feb 25 2023
2023-03-02T06:21:21
oeisdata/seq/A360/A360924.seq
b49c20353cf95b96b8e7db2dc8232546
A360925
Smallest number of moves needed to win Integer Lunar Lander from starting position (n,0).
[ "0", "1", "4", "7", "9", "12", "14", "17", "19", "21", "24", "26", "29", "31", "34", "36", "38", "41", "43", "46", "48", "50", "53", "55", "58", "60", "63", "65", "67", "70", "72", "75", "77", "79", "82", "84", "87", "89", "92", "94", "96", "99", "101", "104", "106", "108", "111", "113", "116", "118", "120", "123", "125", "128", "130", "133", "135", "137", "140", "142", "145" ]
[ "nonn" ]
17
0
3
[ "A360923", "A360924", "A360925", "A360926" ]
null
Allan C. Wechsler, Feb 25 2023
2023-02-26T08:43:18
oeisdata/seq/A360/A360925.seq
d36f49647551ef09ca28f179d0ac1559
A360926
Smallest number of moves needed to win Integer Lunar Lander with a starting position of (n,n).
[ "0", "3", "6", "8", "11", "13", "16", "18", "20", "23", "25", "28", "30", "33", "35", "37", "40", "42", "45", "47", "49", "52", "54", "57", "59", "62", "64", "66", "69", "71", "74", "76", "78", "81", "83", "86", "88", "91", "93", "95", "98", "100", "103", "105", "107", "110", "112", "115", "117", "119", "122", "124", "127", "129", "132", "134", "136", "139", "141", "144", "146" ]
[ "nonn" ]
15
0
2
[ "A360923", "A360924", "A360925", "A360926" ]
null
Allan C. Wechsler, Feb 25 2023
2023-02-26T04:01:07
oeisdata/seq/A360/A360926.seq
9c5c8ecf9d7e4d1adc936f036661246d
A360927
Expansion of the g.f. x*(1 + 3*x + 4*x^2 + 4*x^3)/((1 - x)^2*(1 + x)).
[ "0", "1", "4", "9", "16", "21", "28", "33", "40", "45", "52", "57", "64", "69", "76", "81", "88", "93", "100", "105", "112", "117", "124", "129", "136", "141", "148", "153", "160", "165", "172", "177", "184", "189", "196", "201", "208", "213", "220", "225", "232", "237", "244", "249", "256", "261", "268", "273", "280", "285", "292", "297", "304", "309", "316", "321", "328" ]
[ "nonn", "easy" ]
30
0
3
[ "A016777", "A017569", "A017629", "A194274", "A360927" ]
null
Stefano Spezia, Feb 25 2023
2023-02-27T02:17:29
oeisdata/seq/A360/A360927.seq
aaa6da0c597b73991aa18480e5467705
A360928
Decimal expansion of Sum_{i>=0} 1/(phi^(4*i+2) - 1) where phi = (1+sqrt(5))/2 is the golden ratio.
[ "6", "8", "6", "6", "3", "8", "5", "6", "5", "6", "8", "1", "2", "6", "0", "6", "3", "9", "3", "9", "6", "5", "5", "6", "7", "6", "5", "6", "7", "0", "5", "6", "5", "9", "6", "1", "0", "1", "8", "6", "9", "0", "3", "1", "2", "3", "8", "2", "1", "8", "1", "6", "1", "6", "4", "9", "8", "1", "2", "5", "0", "3", "3", "1", "2", "9", "4", "3", "5", "1", "0", "5", "3", "3", "3", "5", "5", "3", "2", "5", "3", "8", "2", "1", "4", "9", "1", "8", "7", "5", "5", "2", "8", "4", "8", "8", "4", "8", "0", "9", "1", "5", "7", "1", "9" ]
[ "cons", "nonn" ]
20
0
1
[ "A001622", "A153386", "A360928" ]
null
Kevin Ryde, Feb 25 2023
2025-01-05T19:51:42
oeisdata/seq/A360/A360928.seq
9f9fd1229256d2683b59d80f7222231b
A360929
Odd numbers which cannot be expressed as p + q*(q+1) where p and q are primes.
[ "1", "3", "5", "7", "21", "27", "39", "45", "51", "57", "81", "105", "111", "141", "147", "171", "177", "231", "273", "303", "315", "351", "357", "471", "501", "525", "567", "585", "735", "741", "761", "771", "831", "849", "861", "897", "945", "1017", "1083", "1161", "1197", "1281", "1343", "1407", "1475", "1521", "1525", "1575", "1695", "1767", "1997", "2151" ]
[ "easy", "nonn" ]
21
1
2
[ "A046927", "A360929", "A360930" ]
null
Marc Ridders, Feb 25 2023
2023-03-31T14:52:59
oeisdata/seq/A360/A360929.seq
8245e84a99aef185035b498243e287ac
A360930
Odd numbers which cannot be expressed as p + q*(q-1) where p and q are primes.
[ "1", "3", "41", "97", "135", "251", "255", "341", "363", "377", "405", "671", "737", "765", "1007", "1049", "1287", "1371", "1377", "1427", "1605", "1697", "1745", "1805", "2067", "2177", "2201", "2277", "2333", "2477", "2657", "2711", "3077", "3101", "3117", "3149", "3191", "3437", "3557", "3597", "3611", "3983", "4647", "4787", "4797", "5117" ]
[ "easy", "nonn" ]
15
1
2
[ "A046927", "A360929", "A360930" ]
null
Marc Ridders, Feb 25 2023
2023-03-31T14:53:39
oeisdata/seq/A360/A360930.seq
d51c5e7a03407ea95460eb51910f3192
A360931
a(1) = 2, a(2) = 3; for n > 2, a(n) is the smallest number greater than 1 that has not appeared such that |a(n) - a(n-1)| has a common factor with a(n-2).
[ "2", "3", "5", "8", "13", "7", "20", "6", "4", "10", "12", "14", "11", "9", "31", "16", "47", "15", "62", "17", "19", "36", "55", "21", "26", "23", "25", "48", "18", "22", "24", "28", "30", "32", "27", "29", "35", "64", "34", "38", "40", "42", "37", "33", "70", "43", "39", "82", "46", "44", "50", "52", "54", "41", "45", "86", "51", "49", "58", "65", "53", "63", "116", "56", "60", "66", "57", "59", "68", "127", "61", "188", "249", "67", "73", "140" ]
[ "nonn" ]
10
1
1
[ "A098550", "A336957", "A337136", "A353239", "A359557", "A360931" ]
null
Scott R. Shannon, Feb 25 2023
2023-02-26T19:47:52
oeisdata/seq/A360/A360931.seq
137a3a966c52e486c20c0efee0767c66
A360932
Primes of the form H(m,k) = F(k+1)*F(m-k+2) - F(k)*F(m-k+1), where F(m) is the m-th Fibonacci number and m >= 0, 0 <= k <= m.
[ "2", "3", "5", "7", "11", "13", "23", "29", "37", "41", "47", "89", "97", "103", "107", "157", "167", "173", "199", "233", "443", "521", "733", "1597", "1741", "1867", "1871", "1877", "2207", "3037", "3571", "7841", "7919", "7951", "9349", "11933", "12823", "28657", "33503", "50549", "54277", "54287", "54293", "54319", "54497", "55717", "142099" ]
[ "nonn" ]
48
1
1
[ "A000040", "A000045", "A005478", "A067331", "A108038", "A153892", "A360932" ]
null
Rigoberto Florez, Feb 25 2023
2025-01-05T19:51:42
oeisdata/seq/A360/A360932.seq
abdb2b8b5c07516301ea42301b6795c4
A360933
Expansion of e.g.f. Sum_{k>=0} exp((3^k - 1)*x) * x^k/k!.
[ "1", "1", "5", "37", "521", "12361", "510605", "35837677", "4348414481", "903630399121", "325415100648725", "201805338104622517", "217331913727442676761", "404193405278758441895641", "1306527408146744068362681245", "7302236837745565755664036677757" ]
[ "nonn", "easy" ]
17
0
3
[ "A001831", "A135079", "A135753", "A360933", "A360934", "A360935" ]
null
Seiichi Manyama, Feb 26 2023
2023-02-26T06:56:17
oeisdata/seq/A360/A360933.seq
fd4abf3c940c2b227b22141e5aab9f8b
A360934
Expansion of e.g.f. Sum_{k>=0} exp((4^k - 1)*x) * x^k/k!.
[ "1", "1", "7", "73", "1711", "75121", "6743287", "1169659513", "412296162271", "284887781497441", "400134611520973927", "1108533158650520901673", "6238465090832886119430031", "69421876683500992783472318161", "1567475216919199483376363835235927" ]
[ "nonn", "easy" ]
13
0
3
[ "A001831", "A135754", "A355440", "A360933", "A360934", "A360935" ]
null
Seiichi Manyama, Feb 26 2023
2023-02-26T08:42:38
oeisdata/seq/A360/A360934.seq
cf4f2057aa3075a87790efd79a50bb22
A360935
Expansion of e.g.f. Sum_{k>=0} exp((k^k - 1)*x) * x^k/k!.
[ "1", "1", "1", "10", "159", "8306", "1346855", "801620870", "2064941077199", "20691706495244482", "1137052204448926181679", "255128692791512749880418782", "348784909594653094321340422905383", "2262992285674206001784964011734257207938" ]
[ "nonn", "easy" ]
10
0
4
[ "A001831", "A355464", "A360933", "A360934", "A360935" ]
null
Seiichi Manyama, Feb 26 2023
2023-02-26T08:42:33
oeisdata/seq/A360/A360935.seq
2421f94f56ffcc5d1e4736585e17d1eb
A360936
Triangle read by rows: T(n,k) is the k-th Lie-Betti number of the ladder graph on 2*n vertices, n >= 2, k >= 0.
[ "1", "2", "2", "1", "1", "4", "14", "25", "28", "25", "14", "4", "1", "1", "6", "32", "89", "204", "357", "437", "437", "357", "204", "89", "32", "6", "1", "1", "8", "54", "207", "680", "1650", "3201", "5310", "6993", "7508", "6993", "5310", "3201", "1650", "680", "207", "54", "8", "1" ]
[ "nonn", "more", "tabf" ]
21
1
2
[ "A088459", "A360571", "A360572", "A360625", "A360936", "A360937" ]
null
Samuel J. Bevins, Feb 26 2023
2024-05-04T09:23:43
oeisdata/seq/A360/A360936.seq
5865501ce0a05dd3907b35065d0225c1
A360937
Triangle read by rows: T(n, k) is the k-th Lie-Betti number of a wheel graph on n vertices, for n >= 3 and k >= 0.
[ "1", "3", "8", "12", "8", "3", "1", "1", "4", "20", "56", "84", "90", "84", "56", "20", "4", "1", "1", "5", "32", "108", "212", "371", "547", "547", "371", "212", "108", "32", "5", "1", "1", "6", "45", "171", "442", "1081", "2025", "2616", "2722", "2616", "2025", "1081", "442", "171", "45", "6", "1", "1", "7", "60", "258", "842", "2489", "5440", "8855", "12955", "16785", "16785", "12955", "8855", "5440", "2489", "842", "258", "60", "7", "1" ]
[ "nonn", "tabf" ]
19
3
2
[ "A088459", "A360571", "A360572", "A360625", "A360936", "A360937", "A361044" ]
null
Samuel J. Bevins, Feb 26 2023
2024-05-04T14:55:54
oeisdata/seq/A360/A360937.seq
aa4ecb98b3642725cb1a2ebd40a95d9c
A360938
Decimal expansion of arcsinh(Pi).
[ "1", "8", "6", "2", "2", "9", "5", "7", "4", "3", "3", "1", "0", "8", "4", "8", "2", "1", "9", "8", "8", "8", "3", "6", "1", "3", "2", "5", "1", "8", "2", "6", "2", "0", "5", "7", "4", "9", "0", "2", "6", "7", "4", "1", "8", "4", "9", "6", "1", "5", "5", "4", "7", "6", "5", "6", "1", "2", "8", "7", "9", "5", "1", "4", "4", "2", "3", "7", "3", "6", "5", "4", "5", "7", "3", "5", "7", "9", "8", "0", "0", "2", "9", "5", "1", "8", "7", "1", "9", "9", "7", "0", "1", "5", "6", "6", "1", "4", "6", "3", "3", "4", "5", "8", "5" ]
[ "cons", "nonn" ]
21
1
2
[ "A188725", "A359540", "A360938", "A361518", "A361519" ]
null
Wolfe Padawer, Feb 26 2023
2024-12-31T11:14:06
oeisdata/seq/A360/A360938.seq
9d7a913960ebdf78591d654e7d65a72d
A360939
E.g.f. satisfies A(x) = exp( 2*x*A(x) / (1-x) ).
[ "1", "2", "16", "212", "4016", "99952", "3096448", "115063328", "4993598464", "248071645952", "13888585800704", "865481914527232", "59426130052458496", "4458258196636276736", "362864617248019800064", "31848507841521274769408", "2998685833332127139299328", "301504120063370711801724928" ]
[ "nonn" ]
33
0
2
[ "A052868", "A360939", "A361065", "A361212" ]
null
Seiichi Manyama, Mar 04 2023
2025-02-16T08:34:04
oeisdata/seq/A360/A360939.seq
9a16a3b465b878ca5450f5e607e1c974
A360940
Numbers k such that k / A000005(k) + k / A000010(k) is an integer.
[ "1", "2", "3", "8", "10", "12", "18", "21", "24", "28", "36", "72", "78", "96", "108", "126", "128", "168", "224", "243", "288", "294", "384", "392", "756", "864", "930", "972", "1000", "1152", "1323", "1350", "1944", "2310", "2430", "2530", "2808", "3087", "3456", "4116", "6144", "6912", "7776", "10206", "10584", "13122", "13230", "13500", "13608", "18432" ]
[ "nonn" ]
19
1
2
[ "A000005", "A000010", "A058891", "A235353", "A360940" ]
null
Ctibor O. Zizka, Feb 26 2023
2023-03-14T11:46:03
oeisdata/seq/A360/A360940.seq
058164e55c727b69396644d90a09cc5f
A360941
a(n) is the least multiple of m that is a happy number (A007770).
[ "1", "10", "129", "28", "10", "192", "7", "32", "1125", "10", "44", "192", "13", "28", "1125", "32", "68", "1152", "19", "100", "1029", "44", "23", "192", "100", "130", "1188", "28", "203", "1290", "31", "32", "1122", "68", "70", "1152", "888", "190", "1092", "280", "82", "1092", "86", "44", "1125", "230", "94", "192", "49", "100", "1122", "208", "901", "1188", "440" ]
[ "nonn", "base" ]
8
1
2
[ "A007770", "A360941", "A360942" ]
null
Rémy Sigrist, Feb 26 2023
2023-02-27T11:29:08
oeisdata/seq/A360/A360941.seq
b43fa6a645cb4b1c5eaac1218f1b9e5c
A360942
a(n) is the least k such that k*n is a happy number (A007770).
[ "1", "5", "43", "7", "2", "32", "1", "4", "125", "1", "4", "16", "1", "2", "75", "2", "4", "64", "1", "5", "49", "2", "1", "8", "4", "5", "44", "1", "7", "43", "1", "1", "34", "2", "2", "32", "24", "5", "28", "7", "2", "26", "2", "1", "25", "5", "2", "4", "1", "2", "22", "4", "17", "22", "8", "5", "16", "8", "4", "32", "11", "5", "21", "3", "2", "17", "7", "1", "22", "1", "13", "16", "3", "12", "15", "8", "11" ]
[ "nonn", "base" ]
7
1
2
[ "A007770", "A360941", "A360942" ]
null
Rémy Sigrist, Feb 26 2023
2023-02-27T11:30:01
oeisdata/seq/A360/A360942.seq
7416def2a062299999c5f58956014b2b
A360943
Number of ways to tile an n X n square using rectangles with distinct dimensions where no rectangle has an edge length that divides n.
[ "0", "0", "0", "0", "0", "0", "360", "0", "360", "360", "8547192", "0" ]
[ "nonn", "more" ]
26
1
7
[ "A004003", "A182275", "A360256", "A360499", "A360773", "A360804", "A360943" ]
null
Scott R. Shannon, Mar 01 2023
2023-03-01T08:12:07
oeisdata/seq/A360/A360943.seq
6f7b1722ce6705b86cbf4949ac672a6d
A360944
Numbers m such that phi(m) is a triangular number, where phi is the Euler totient function (A000010).
[ "1", "2", "7", "9", "11", "14", "18", "22", "29", "37", "57", "58", "63", "67", "74", "76", "79", "108", "114", "126", "134", "137", "143", "155", "158", "175", "183", "191", "211", "225", "231", "244", "248", "274", "277", "286", "308", "310", "329", "341", "350", "366", "372", "379", "382", "396", "417", "422", "423", "450", "453", "462", "554", "556", "604", "623", "631", "658", "682" ]
[ "nonn" ]
46
1
2
[ "A000010", "A000217", "A039770", "A055469", "A078164", "A096503", "A117296", "A236386", "A287472", "A360944" ]
null
Bernard Schott, Feb 26 2023
2023-03-30T05:15:17
oeisdata/seq/A360/A360944.seq
3d558065a1d1cbcdcb1fe55b6b3cced3
A360945
a(n) = numerator of (Zeta(2*n+1,1/4) - Zeta(2*n+1,3/4))/Pi^(2*n+1) where Zeta is the Hurwitz zeta function.
[ "1", "2", "10", "244", "554", "202084", "2162212", "1594887848", "7756604858", "9619518701764", "59259390118004", "554790995145103208", "954740563911205348", "32696580074344991138888", "105453443486621462355224", "7064702291984369672858925136", "4176926860695042104392112698" ]
[ "nonn", "frac" ]
76
0
2
[ "A000364", "A046982", "A173945", "A173947", "A173948", "A173949", "A173953", "A173954", "A173955", "A173982", "A173983", "A173984", "A173987", "A360945", "A360966", "A361007" ]
null
Artur Jasinski, Feb 26 2023
2023-04-15T15:55:12
oeisdata/seq/A360/A360945.seq
719884ddc6ddc957f5a02814f71021b3
A360946
Number of Pythagorean quadruples with inradius n.
[ "1", "3", "6", "10", "9", "19", "16", "25", "29", "27", "27", "56", "31", "51", "49", "61", "42", "91", "52", "71", "89", "86", "63", "142", "64", "95", "116", "132", "83", "153", "90", "144", "149", "133", "108", "238", "108", "162", "169", "171", "122", "284", "130", "219", "200", "196", "145", "340", "174", "201", "231", "239", "164", "364", "176", "314", "278", "256", "190", "399", "195", "281", "360", "330" ]
[ "nonn" ]
30
1
2
[ "A096907", "A096908", "A096909", "A096910", "A097263", "A097264", "A097265", "A097266", "A097267", "A169580", "A225206", "A225207", "A230543", "A330893", "A330894", "A331365", "A335654", "A359741", "A360946" ]
null
Miguel-Ángel Pérez García-Ortega, Feb 26 2023
2023-05-11T12:16:32
oeisdata/seq/A360/A360946.seq
69c129c3e15ea9a34bc31047199db16f
A360947
a(n), read backwards, is present as a substring in a(n) + a(n+1). This is the lexicographically earliest sequence of distinct terms > 0 with this property.
[ "1", "9", "10", "91", "28", "54", "191", "1000", "9001", "1089", "8712", "3466", "3177", "4536", "1818", "6363", "7273", "6454", "8092", "4816", "1368", "7263", "6364", "8272", "4456", "2088", "6714", "7462", "5185", "630", "406", "198", "693", "703", "604", "802", "1278", "7443", "6004", "8002", "4006", "1998", "6993", "7003", "16004", "24057", "50985", "7920", "2377", "5355", "180" ]
[ "base", "nonn" ]
18
1
2
[ "A004086", "A360947" ]
null
Eric Angelini and Giorgos Kalogeropoulos, Oct 15 2023
2023-10-19T23:34:23
oeisdata/seq/A360/A360947.seq
a261617d38008541b9a3906962744c07
A360948
a(n) = Sum_{d|n} (n/d)^(d-1) * binomial(d+n/d-1,d).
[ "1", "3", "4", "11", "6", "41", "8", "89", "100", "182", "12", "1088", "14", "723", "2592", "3697", "18", "11804", "20", "29289", "30382", "13037", "24", "246912", "78776", "58554", "374248", "687929", "30", "2567895", "32", "3431585", "4640462", "1182284", "6265548", "37037563", "38", "5246529", "55878240", "128618380", "42", "266983306", "44" ]
[ "nonn" ]
17
1
2
[ "A338662", "A360794", "A360948" ]
null
Seiichi Manyama, Feb 26 2023
2023-07-31T02:25:21
oeisdata/seq/A360/A360948.seq
37286f0fc1d3f2161977a00fdad70bc6
A360949
G.f. A(x) satisfies: 1 = Sum_{n>=0} (-x/2)^n * (A(x)^n + (-1)^n)^n.
[ "1", "2", "8", "50", "376", "3124", "27804", "260496", "2539616", "25556330", "263922884", "2785341186", "29948035032", "327315887046", "3630399545244", "40813503158790", "464662514679168", "5354222585965310", "62419468527625408", "736098528973804246", "8781173950238637928", "105987886325647341056" ]
[ "nonn" ]
15
0
2
[ "A161674", "A325574", "A360949" ]
null
Paul D. Hanna, Mar 03 2023
2023-03-05T12:37:19
oeisdata/seq/A360/A360949.seq
eecdee3e7482046a996b81ce2bb0f2e5
A360950
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(2*n) * A(x)^n / n!.
[ "1", "2", "12", "108", "1240", "16932", "264740", "4631320", "89270316", "1875586380", "42610756408", "1040307155304", "27157913296228", "754950111249488", "22267948484559720", "694746226969477744", "22863695087986373968", "791675941860401322852", "28776089467457429038620", "1095679176790207081120360" ]
[ "nonn" ]
17
0
2
[ "A088714", "A229619", "A303063", "A356848", "A360950" ]
null
Paul D. Hanna, Feb 26 2023
2023-02-27T05:19:24
oeisdata/seq/A360/A360950.seq
a3afa329d09eac6f3a33e2ef0296189d
A360951
Expansion of e.g.f. (cosh(x) - 1)*(1 + x)*exp(x).
[ "0", "0", "1", "6", "19", "50", "121", "280", "631", "1398", "3061", "6644", "14323", "30706", "65521", "139248", "294895", "622574", "1310701", "2752492", "5767147", "12058602", "25165801", "52428776", "109051879", "226492390", "469762021", "973078500", "2013265891", "4160749538", "8589934561", "17716740064", "36507221983", "75161927646", "154618822621" ]
[ "nonn", "easy" ]
19
0
4
[ "A129953", "A360951" ]
null
Enrique Navarrete, Feb 26 2023
2023-03-25T14:59:12
oeisdata/seq/A360/A360951.seq
c06d2fc6fdbd2d87131f9398a92c49ed
A360952
Number of strict integer partitions of n with non-integer median; a(0) = 1.
[ "1", "0", "0", "1", "0", "2", "0", "3", "0", "4", "1", "6", "1", "8", "4", "11", "5", "15", "10", "20", "13", "27", "22", "36", "28", "47", "43", "63", "56", "82", "79", "107", "103", "140", "141", "180", "181", "232", "242", "299", "308", "380", "402", "483", "511", "613", "656", "772", "824", "969", "1047", "1215", "1309", "1514", "1642", "1882", "2039", "2334", "2539", "2882" ]
[ "nonn" ]
9
0
6
[ "A000009", "A000041", "A000975", "A008284", "A051293", "A058398", "A067538", "A082550", "A102627", "A240219", "A240850", "A307683", "A316413", "A325347", "A327475", "A327482", "A349156", "A359893", "A359897", "A359901", "A359902", "A359907", "A359908", "A359912", "A360005", "A360952", "A361391" ]
null
Gus Wiseman, Mar 10 2023
2023-03-11T08:40:27
oeisdata/seq/A360/A360952.seq
58ef2c2990686abce350dfb277e9608f
A360953
Numbers whose right half of prime indices (exclusive) adds up to half the total sum of prime indices.
[ "1", "4", "9", "12", "16", "25", "30", "48", "49", "63", "64", "70", "81", "108", "121", "154", "165", "169", "192", "256", "270", "273", "286", "289", "325", "361", "442", "529", "561", "567", "595", "625", "646", "675", "729", "741", "750", "768", "841", "874", "931", "961", "972", "1024", "1045", "1173", "1334", "1369", "1495", "1575", "1653", "1681", "1750" ]
[ "nonn" ]
7
1
2
[ "A000005", "A000040", "A001222", "A001248", "A026424", "A056239", "A056798", "A112798", "A347043", "A347044", "A359912", "A360005", "A360006", "A360616", "A360617", "A360671", "A360672", "A360673", "A360674", "A360675", "A360676", "A360677", "A360678", "A360679", "A360953", "A361200", "A361201" ]
null
Gus Wiseman, Mar 09 2023
2023-03-09T23:08:36
oeisdata/seq/A360/A360953.seq
dff5de5e3668b88f19774640c35f5461
A360954
Number of finite sets of positive integers whose right half (exclusive) sums to n.
[ "1", "0", "1", "3", "6", "10", "15", "22", "29", "41", "50", "70", "81", "113", "126", "176", "191", "264", "286", "389", "413", "569", "595", "798", "861", "1121", "1187", "1585", "1653", "2132", "2334", "2906", "3111", "4006", "4234", "5252", "5818", "6995", "7620", "9453", "10102", "12165", "13663", "15940", "17498", "21127", "22961", "26881", "30222", "34678", "38569" ]
[ "nonn" ]
9
0
4
[ "A000009", "A072233", "A347043", "A347044", "A359893", "A359901", "A360671", "A360672", "A360673", "A360675", "A360676", "A360677", "A360678", "A360679", "A360954", "A360955", "A360956", "A361200", "A361201" ]
null
Gus Wiseman, Mar 09 2023
2023-03-13T17:47:56
oeisdata/seq/A360/A360954.seq
983d607ab23a019feab6506e25bc6ac3
A360955
Number of finite sets of positive integers whose right half (inclusive) sums to n.
[ "1", "1", "2", "3", "4", "6", "7", "11", "12", "19", "20", "31", "33", "49", "51", "77", "79", "112", "124", "165", "177", "247", "260", "340", "388", "480", "533", "693", "747", "925", "1078", "1271", "1429", "1772", "1966", "2331", "2705", "3123", "3573", "4245", "4737", "5504", "6424", "7254", "8256", "9634", "10889", "12372", "14251", "16031", "18379" ]
[ "nonn" ]
10
0
3
[ "A000009", "A072233", "A347043", "A347044", "A359893", "A359901", "A360671", "A360672", "A360673", "A360674", "A360675", "A360676", "A360677", "A360678", "A360679", "A360954", "A360955", "A360956", "A361200", "A361201" ]
null
Gus Wiseman, Mar 09 2023
2023-03-13T17:47:26
oeisdata/seq/A360/A360955.seq
7ed4260fc190dcd98ec2a01dbe9899b3
A360956
Number of finite even-length multisets of positive integers whose right half sums to n.
[ "1", "1", "3", "5", "10", "13", "26", "31", "55", "73", "112", "140", "233", "276", "405", "539", "750", "931", "1327", "1627", "2259", "2839", "3708", "4624", "6237", "7636", "9823", "12275", "15715", "19227", "24735", "30000", "37930", "46339", "57574", "70374", "87704", "105606", "129998", "157417", "193240", "231769", "283585", "339052", "411682", "493260" ]
[ "nonn" ]
9
0
3
[ "A000041", "A347043", "A347044", "A360671", "A360672", "A360673", "A360674", "A360675", "A360676", "A360677", "A360678", "A360679", "A360954", "A360955", "A360956", "A361200", "A361201" ]
null
Gus Wiseman, Mar 09 2023
2023-03-11T14:21:26
oeisdata/seq/A360/A360956.seq
8b4d88fac1cace50df153a5f2db03bb3
A360957
Decimal expansion of Sum_{i>=1 and i!=0 (mod 3)} 1/Fibonacci(i).
[ "2", "6", "9", "6", "3", "8", "3", "5", "2", "7", "3", "1", "0", "1", "4", "9", "3", "5", "6", "0", "3", "6", "1", "3", "0", "2", "0", "6", "9", "6", "8", "9", "3", "3", "8", "8", "3", "9", "1", "3", "6", "3", "8", "8", "8", "2", "1", "0", "7", "4", "3", "8", "9", "5", "8", "1", "9", "2", "4", "4", "5", "3", "8", "9", "6", "4", "4", "8", "0", "1", "1", "5", "8", "5", "8", "2", "4", "2", "0", "0", "3", "3", "0", "9", "6", "0", "6", "1", "6", "7", "7", "1", "1", "3", "2", "4", "9", "2", "3", "6", "3", "4", "3", "8", "1" ]
[ "cons", "nonn" ]
13
1
1
[ "A014437", "A079586", "A153387", "A360957", "A360958" ]
null
Kevin Ryde, Feb 28 2023
2023-03-03T06:01:32
oeisdata/seq/A360/A360957.seq
4dc29aa283945624103fc73bed6a40f1
A360958
Decimal expansion of Sum_{i>=1} 1/Fibonacci(3*i).
[ "6", "6", "3", "5", "0", "2", "1", "3", "8", "9", "3", "3", "0", "2", "8", "1", "9", "7", "1", "3", "5", "8", "8", "1", "0", "9", "5", "9", "4", "9", "9", "9", "3", "2", "9", "5", "7", "7", "5", "2", "6", "6", "2", "5", "1", "6", "2", "4", "5", "2", "9", "5", "2", "8", "3", "0", "3", "1", "0", "8", "4", "2", "5", "6", "8", "0", "3", "2", "9", "1", "6", "0", "4", "1", "4", "2", "6", "3", "3", "5", "0", "5", "1", "9", "3", "5", "4", "5", "3", "9", "3", "4", "3", "5", "4", "0", "8", "5", "0", "9", "5", "3", "2", "2", "8" ]
[ "cons", "nonn" ]
10
0
1
[ "A014445", "A079586", "A153386", "A360957", "A360958" ]
null
Kevin Ryde, Feb 28 2023
2023-03-03T06:01:38
oeisdata/seq/A360/A360958.seq
bf2e4b21c0777d3fdf375015d9fc1453
A360959
Order the nonnegative integers by increasing number of digits in base 2, then by decreasing number of digits in base 3, then by increasing number of digits in base 4, etc.
[ "0", "1", "3", "2", "5", "7", "6", "4", "9", "11", "13", "15", "14", "12", "10", "8", "27", "29", "31", "30", "28", "25", "26", "17", "19", "21", "23", "24", "22", "20", "18", "16", "33", "35", "34", "32", "49", "51", "53", "55", "57", "59", "61", "63", "62", "60", "58", "56", "54", "52", "50", "37", "39", "41", "43", "45", "47", "48", "46", "44", "42", "40", "38", "36", "125", "127", "126" ]
[ "nonn", "base" ]
17
0
3
[ "A360959", "A360960", "A360964", "A360982" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:09:21
oeisdata/seq/A360/A360959.seq
fab186f59aaeb8f06cb0f732096e4a5e
A360960
Inverse permutation to A360959.
[ "0", "1", "3", "2", "7", "4", "6", "5", "15", "8", "14", "9", "13", "10", "12", "11", "31", "23", "30", "24", "29", "25", "28", "26", "27", "21", "22", "16", "20", "17", "19", "18", "35", "32", "34", "33", "63", "51", "62", "52", "61", "53", "60", "54", "59", "55", "58", "56", "57", "36", "50", "37", "49", "38", "48", "39", "47", "40", "46", "41", "45", "42", "44", "43", "127", "111", "126" ]
[ "nonn", "base" ]
9
0
3
[ "A360959", "A360960" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:09:09
oeisdata/seq/A360/A360960.seq
9daa66c8ee851efebbba550ac86e485b
A360961
Triangle T(m,n) read by rows: the number of homomorphisms of the complete graph on n vertices to the quasi-complete graph on m vertices, m>=3, 3<=n<m.
[ "12", "42", "48", "96", "216", "240", "180", "600", "1320", "1440", "300", "1320", "4320", "9360", "10080", "462", "2520", "10920", "35280", "75600", "80640", "672", "4368", "23520", "100800", "322560", "685440", "725760", "936", "7056", "45360", "241920", "1028160", "3265920", "6894720", "7257600", "1260", "10800", "80640", "514080", "2721600", "11491200", "36288000", "76204800", "79833600" ]
[ "nonn", "tabl", "easy" ]
5
3
1
null
null
R. J. Mathar, Feb 27 2023
2023-03-13T07:06:59
oeisdata/seq/A360/A360961.seq
9c9ed71f385492b9a2e19b2498a3f0b4
A360962
Square array T(n,k) = k*((3+6*n)*k - 1)/2; n>=0, k>=0, read by antidiagonals upwards.
[ "0", "0", "1", "0", "4", "5", "0", "7", "17", "12", "0", "10", "29", "39", "22", "0", "13", "41", "66", "70", "35", "0", "16", "53", "93", "118", "110", "51", "0", "19", "65", "120", "166", "185", "159", "70", "0", "22", "77", "147", "214", "260", "267", "217", "92", "0", "25", "89", "174", "262", "335", "375", "364", "284", "117", "0", "28", "101", "201", "310", "410", "483", "511", "476", "360", "145" ]
[ "nonn", "tabl" ]
44
0
5
[ "A000004", "A000326", "A000537", "A016777", "A017209", "A017581", "A022266", "A022272", "A022278", "A022284", "A024394", "A026741", "A033428", "A154266", "A158057", "A161447", "A348845", "A360962" ]
null
Paul Curtz, Feb 27 2023
2024-02-22T02:15:45
oeisdata/seq/A360/A360962.seq
f5222bb07e396cad4c3efa2d9173067c
A360963
Triangle T(n, k), n > 0, k = 0..n-1, read by rows: T(n, k) is the least e > 0 such that the binary expansions of n^e and k^e have different lengths.
[ "1", "1", "1", "1", "1", "2", "1", "1", "1", "1", "1", "1", "1", "1", "4", "1", "1", "1", "1", "2", "2", "1", "1", "1", "1", "2", "2", "3", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "1", "6", "1", "1", "1", "1", "1", "1", "1", "1", "4", "4", "1", "1", "1", "1", "1", "1", "1", "1", "3", "3", "3", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "1", "1", "1", "1", "1", "1", "1", "1", "2", "2", "2", "2", "3" ]
[ "nonn", "base", "tabl" ]
11
1
6
[ "A029837", "A183200", "A360963", "A360964" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:09:13
oeisdata/seq/A360/A360963.seq
31ea5c46e3a95a4d24ffe20575f46401
A360964
Triangle T(n, k), n > 0, k = 0..n-1, read by rows: T(n, k) is the least base b >= 2 where the number of digits of n and k are different.
[ "2", "2", "2", "2", "2", "3", "2", "2", "2", "2", "2", "2", "2", "2", "5", "2", "2", "2", "2", "5", "6", "2", "2", "2", "2", "5", "6", "7", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "2", "3", "2", "2", "2", "2", "2", "2", "2", "2", "3", "10", "2", "2", "2", "2", "2", "2", "2", "2", "3", "10", "11", "2", "2", "2", "2", "2", "2", "2", "2", "3", "10", "11", "12", "2", "2", "2", "2", "2", "2", "2", "2", "3", "10", "11", "12", "13" ]
[ "nonn", "base", "tabl" ]
10
1
1
[ "A052410", "A360963", "A360964" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:09:06
oeisdata/seq/A360/A360964.seq
c31164a04ea446c9ced819aad70ee4d5
A360965
Array T(n,m) = (2^(n*m)-1)/(2^m-1) read by antidiagonals, n,m>=1.
[ "1", "1", "3", "1", "5", "7", "1", "9", "21", "15", "1", "17", "73", "85", "31", "1", "33", "273", "585", "341", "63", "1", "65", "1057", "4369", "4681", "1365", "127", "1", "129", "4161", "33825", "69905", "37449", "5461", "255", "1", "257", "16513", "266305", "1082401", "1118481", "299593", "21845", "511", "1", "513", "65793", "2113665", "17043521", "34636833", "17895697", "2396745", "87381", "1023" ]
[ "nonn", "tabl", "easy" ]
5
1
3
[ "A000225", "A002450", "A023001", "A360965" ]
null
R. J. Mathar, Feb 27 2023
2023-02-27T07:05:07
oeisdata/seq/A360/A360965.seq
6f80e004bcf39f1f8038ef1bbb57cec1
A360966
a(n) = denominator of (Zeta(2*n+1,1/4) - Zeta(2*n+1,3/4))/Pi^(2*n+1) where Zeta is the Hurwitz zeta function.
[ "1", "1", "3", "45", "63", "14175", "93555", "42567525", "127702575", "97692469875", "371231385525", "2143861251406875", "2275791174570375", "48076088562799171875", "95646113035463615625", "3952575621190533915703125", "1441527579493018251609375", "68739242628124575327993046875", "333120945043988326589504765625" ]
[ "nonn", "frac" ]
29
0
3
[ "A000364", "A046982", "A046983", "A173945", "A173947", "A173948", "A173949", "A173953", "A173954", "A173955", "A173982", "A173983", "A173984", "A173987", "A360945", "A360966", "A361007" ]
null
Artur Jasinski, Apr 09 2023
2023-06-11T12:04:02
oeisdata/seq/A360/A360966.seq
cd36247dbabebda3936a7062b677a744
A360967
Array T(n,m) = (2^(m*(2*n+1))+1)/(2^m+1) read by antidiagonals.
[ "3", "13", "11", "57", "205", "43", "241", "3641", "3277", "171", "993", "61681", "233017", "52429", "683", "4033", "1016801", "15790321", "14913081", "838861", "2731", "16257", "16519105", "1041204193", "4042322161", "954437177", "13421773", "10923", "65281", "266354561", "67662254017", "1066193093601", "1034834473201", "61083979321", "214748365" ]
[ "tabl", "nonn", "easy" ]
5
1
1
[ "A007583", "A299960", "A360967" ]
null
R. J. Mathar, Feb 27 2023
2023-02-27T07:05:28
oeisdata/seq/A360/A360967.seq
0d0a9ecb684989b00fad8e6f681e982a
A360968
Permutation of the positive integers derived through a process of self-reference and self-editing. a(1) = 1. Other terms generated as described in Comments.
[ "1", "3", "2", "7", "4", "13", "5", "12", "22", "15", "23", "8", "6", "36", "10", "31", "40", "26", "25", "56", "16", "9", "11", "55", "19", "18", "67", "54", "28", "86", "21", "48", "42", "45", "90", "14", "20", "37", "106", "17", "95", "33", "71", "130", "34", "27", "41", "32", "91", "47", "141", "66", "73", "29", "24", "38", "94", "164", "76", "155", "57", "133", "193", "98", "92" ]
[ "nonn", "look", "easy" ]
42
1
2
[ "A005185", "A236854", "A360968" ]
null
Carl R. White, Feb 27 2023
2023-03-04T15:28:26
oeisdata/seq/A360/A360968.seq
03bfbbbb749040153838dfa4469179c7
A360969
Multiplicative with a(p^e) = e^2, p prime and e > 0.
[ "1", "1", "1", "4", "1", "1", "1", "9", "4", "1", "1", "4", "1", "1", "1", "16", "1", "4", "1", "4", "1", "1", "1", "9", "4", "1", "9", "4", "1", "1", "1", "25", "1", "1", "1", "16", "1", "1", "1", "9", "1", "1", "1", "4", "4", "1", "1", "16", "4", "4", "1", "4", "1", "9", "1", "9", "1", "1", "1", "4", "1", "1", "4", "36", "1", "1", "1", "4", "1", "1", "1", "36", "1", "1", "4", "4", "1", "1", "1", "16", "16", "1", "1", "4" ]
[ "nonn", "mult" ]
26
1
4
[ "A005117", "A005361", "A060687", "A322327", "A360969", "A360970", "A361132" ]
null
Vaclav Kotesovec, Feb 27 2023
2023-03-30T02:39:14
oeisdata/seq/A360/A360969.seq
e8d39eb122f597dfb79e205c3fcdc0b4
A360970
Multiplicative with a(p^e) = e^3, p prime and e > 0.
[ "1", "1", "1", "8", "1", "1", "1", "27", "8", "1", "1", "8", "1", "1", "1", "64", "1", "8", "1", "8", "1", "1", "1", "27", "8", "1", "27", "8", "1", "1", "1", "125", "1", "1", "1", "64", "1", "1", "1", "27", "1", "1", "1", "8", "8", "1", "1", "64", "8", "8", "1", "8", "1", "27", "1", "27", "1", "1", "1", "8", "1", "1", "8", "216", "1", "1", "1", "8", "1", "1", "1", "216", "1", "1", "8", "8", "1", "1", "1", "64", "64" ]
[ "nonn", "mult" ]
19
1
4
[ "A005361", "A226602", "A360969", "A360970", "A361132" ]
null
Vaclav Kotesovec, Feb 27 2023
2023-03-30T02:39:26
oeisdata/seq/A360/A360970.seq
8c931253e5458d6e18deb6c10b59de0b
A360971
Number of multisets of size n with elements from [n] whose element sum is larger than the product of all elements.
[ "0", "0", "2", "4", "6", "8", "12", "14", "17", "20", "23", "26", "30", "33", "38", "41", "44", "47", "52", "55", "60", "63", "68", "71", "76", "78", "84", "89", "93", "97", "103", "106", "111", "115", "121", "124", "128", "131", "138", "142", "146", "151", "159", "162", "168", "171", "176", "181", "187", "190", "196", "201", "206", "210", "218", "221", "227", "232", "238" ]
[ "nonn" ]
16
0
3
[ "A103586", "A360538", "A360563", "A360971" ]
null
Alois P. Heinz, Feb 27 2023
2023-12-09T09:00:16
oeisdata/seq/A360/A360971.seq
04c5b0804bd370748b5d401870bb7f89
A360972
Number of n-digit zeroless numbers whose digit sum is larger than the product of all digits.
[ "0", "0", "17", "28", "51", "91", "189", "302", "513", "985", "1461", "1904", "3155", "4616", "7211", "10236", "12709", "15573", "21463", "31161", "56306", "70904", "85570", "100626", "135203", "155951", "188059", "293887", "434106", "522755", "612837", "888740", "1013337", "1182809", "1559292", "1755888", "1971286", "2208087", "2491034" ]
[ "nonn", "base" ]
13
0
3
[ "A007953", "A007954", "A052382", "A055642", "A360538", "A360972" ]
null
Alois P. Heinz, Feb 27 2023
2023-02-27T15:25:54
oeisdata/seq/A360/A360972.seq
c3e36ac4574189224e6bdc5c24fe1c94
A360973
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(3*n) * A(x)^n / n!.
[ "1", "3", "30", "462", "9243", "223014", "6232239", "196780545", "6905085381", "266134485876", "11167349876424", "506653305313320", "24713399794830075", "1289888647516181583", "71744797404818298768", "4237233894492578488668", "264870390088867267319274", "17473793269024825938396135" ]
[ "nonn" ]
12
0
2
[ "A088714", "A229619", "A303063", "A356848", "A360950", "A360973", "A360974", "A360975", "A360976" ]
null
Paul D. Hanna, Feb 27 2023
2023-03-13T12:53:35
oeisdata/seq/A360/A360973.seq
b0e03c6359176ba2d57d06d2f405acd9
A360974
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(2*n) * A(x)^(2*n) / n!.
[ "1", "2", "18", "260", "4890", "110124", "2844772", "82196424", "2613699450", "90450874860", "3379153837180", "135445714293720", "5796441493971284", "263784018974675416", "12721572505160772840", "648250134428292640272", "34809708051186914034730", "1965040180185473309749788", "116359823755204505172646204" ]
[ "nonn" ]
11
0
2
[ "A088714", "A229619", "A303063", "A356848", "A360950", "A360973", "A360974", "A360975", "A360977" ]
null
Paul D. Hanna, Feb 27 2023
2023-03-13T12:55:56
oeisdata/seq/A360/A360974.seq
63f4657fd3b355c14103f560e3e0ea65
A360975
Expansion of g.f. A(x) satisfying A(x) = Sum_{n>=0} d^n/dx^n x^(2*n) * A(x)^(3*n) / n!.
[ "1", "2", "24", "476", "12380", "386220", "13821276", "552876504", "24318017424", "1162989779660", "59987353249560", "3316841570302680", "195648523068917828", "12263065689662763024", "814027053454694421000", "57059908657536257254704", "4212606733712173668180012", "326799750176069289173027820" ]
[ "nonn" ]
10
0
2
[ "A360950", "A360973", "A360974", "A360975", "A360978" ]
null
Paul D. Hanna, Feb 27 2023
2023-03-13T12:58:21
oeisdata/seq/A360/A360975.seq
7d849ae01410054207884cda298ddacc
A360976
G.f. satisfies: A(x) = Series_Reversion(x - x^3*A'(x)).
[ "1", "1", "6", "66", "1027", "20274", "479403", "13118703", "406181493", "14007078204", "531778565544", "22028404578840", "988535991793203", "47773653611710429", "2473958531200630992", "136684964338470273828", "8026375457238402039978", "499251236257852169668461", "32794618460003080060574283" ]
[ "nonn" ]
14
1
3
[ "A229619", "A360973", "A360976", "A360977", "A360978" ]
null
Paul D. Hanna, Feb 27 2023
2023-02-28T04:26:06
oeisdata/seq/A360/A360976.seq
c0a6fe439aa0e32a62d0eaffb3f2a254
A360977
G.f. satisfies: A(x) = Series_Reversion(x - x^2*A'(x)^2).
[ "1", "1", "6", "65", "978", "18354", "406396", "10274553", "290411050", "9045087486", "307195803380", "11287142857810", "445880114920868", "18841715641048244", "848104833677384856", "40515633401768290017", "2047629885363936119690", "109168898899192961652766", "6124201250273921324876116" ]
[ "nonn" ]
15
1
3
[ "A229619", "A360974", "A360976", "A360977", "A360978" ]
null
Paul D. Hanna, Feb 27 2023
2023-02-28T04:26:15
oeisdata/seq/A360/A360977.seq
f6acc4c68b2fe963b775ea5860215860
A360978
G.f. satisfies: A(x) = Series_Reversion(x - x^2*A'(x)^3).
[ "1", "1", "8", "119", "2476", "64370", "1974468", "69109563", "2702001936", "116298977966", "5453395749960", "276403464191890", "15049886389916756", "875933263547340216", "54268470230312961400", "3566244291096016078419", "247800396100716098128236", "18155541676448293842945990" ]
[ "nonn" ]
8
1
3
[ "A229619", "A360975", "A360976", "A360977", "A360978" ]
null
Paul D. Hanna, Feb 27 2023
2023-02-28T04:26:23
oeisdata/seq/A360/A360978.seq
2ba88be6f9464463621ed41f82cdaa70
A360979
Primes that share no digits with their digit sum.
[ "11", "13", "17", "23", "29", "31", "37", "41", "43", "47", "53", "59", "61", "67", "71", "73", "79", "83", "89", "97", "101", "103", "107", "113", "131", "151", "211", "223", "227", "229", "233", "239", "241", "251", "257", "263", "269", "277", "293", "311", "313", "331", "349", "353", "359", "383", "389", "401", "409", "421", "431", "433", "439", "443", "449", "457", "479", "487", "499", "503", "509", "521", "523" ]
[ "nonn", "base" ]
15
1
1
[ "A007605", "A007953", "A158473", "A360979" ]
null
Robert Israel, Feb 27 2023
2023-03-04T02:06:41
oeisdata/seq/A360/A360979.seq
52d49ff61a6353453f7731ba6c545867
A360980
a(n) is the least multiple of n that is an odious number (A000069).
[ "1", "2", "21", "4", "25", "42", "7", "8", "81", "50", "11", "84", "13", "14", "285", "16", "289", "162", "19", "100", "21", "22", "69", "168", "25", "26", "81", "28", "87", "570", "31", "32", "1089", "578", "35", "324", "37", "38", "117", "200", "41", "42", "301", "44", "405", "138", "47", "336", "49", "50", "357", "52", "265", "162", "55", "56", "171", "174", "59", "1140", "61" ]
[ "nonn", "base", "look" ]
22
1
2
[ "A000069", "A178757", "A360980", "A360981" ]
null
Rémy Sigrist, Feb 27 2023
2023-08-07T02:12:06
oeisdata/seq/A360/A360980.seq
1ee57b6a102101fc37632666a611d63d
A360981
a(n) is the least positive multiple of n that is an evil number (A001969).
[ "3", "6", "3", "12", "5", "6", "63", "24", "9", "10", "33", "12", "39", "126", "15", "48", "17", "18", "57", "20", "63", "66", "23", "24", "75", "78", "27", "252", "29", "30", "1023", "96", "33", "34", "105", "36", "111", "114", "39", "40", "123", "126", "43", "132", "45", "46", "141", "48", "147", "150", "51", "156", "53", "54", "165", "504", "57", "58", "177", "60", "183", "2046" ]
[ "nonn", "base", "look" ]
19
1
1
[ "A001969", "A020330", "A180938", "A360980", "A360981" ]
null
Rémy Sigrist, Feb 27 2023
2023-08-07T02:11:54
oeisdata/seq/A360/A360981.seq
416dc540a0291fd9936e9a44f2ef55d0
A360982
Order the nonnegative integers by increasing binary length of values, then by decreasing binary length of values squared, then by increasing binary length of values cubed, etc.
[ "0", "1", "3", "2", "6", "7", "5", "4", "12", "15", "14", "13", "10", "9", "8", "11", "23", "24", "25", "27", "30", "31", "29", "28", "26", "20", "18", "17", "16", "19", "21", "22", "46", "47", "48", "50", "49", "54", "55", "59", "60", "61", "63", "62", "58", "56", "57", "52", "51", "53", "39", "40", "36", "35", "34", "32", "33", "37", "38", "42", "41", "43", "44", "45", "91", "92", "93", "94" ]
[ "nonn", "base" ]
11
0
3
[ "A360959", "A360963", "A360982", "A360983" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:08:59
oeisdata/seq/A360/A360982.seq
60d71a639d6641124ad4ebffa4d7afb9
A360983
Inverse permutation to A360982.
[ "0", "1", "3", "2", "7", "6", "4", "5", "14", "13", "12", "15", "8", "11", "10", "9", "28", "27", "26", "29", "25", "30", "31", "16", "17", "18", "24", "19", "23", "22", "20", "21", "55", "56", "54", "53", "52", "57", "58", "50", "51", "60", "59", "61", "62", "63", "32", "33", "34", "36", "35", "48", "47", "49", "37", "38", "45", "46", "44", "39", "40", "41", "43", "42", "111", "112", "113" ]
[ "nonn", "base" ]
10
0
3
[ "A360982", "A360983" ]
null
Rémy Sigrist, Feb 27 2023
2023-03-01T02:09:03
oeisdata/seq/A360/A360983.seq
5d9bbe8a205d7b2d9894c7609f6abc08
A360984
Triangular array read by rows. T(n,k) is the number of idempotent Boolean relation matrices on [n] with exactly k reflexive points, n >= 0, 0 <= k <= n.
[ "1", "1", "1", "1", "6", "4", "1", "27", "66", "29", "1", "108", "780", "1116", "355", "1", "405", "8020", "29250", "28405", "6942", "1", "1458", "76110", "649260", "1460425", "1068576", "209527" ]
[ "nonn", "hard", "tabl", "more" ]
34
0
5
[ "A000798", "A027471", "A121337", "A245767", "A360984" ]
null
Geoffrey Critzer, Feb 27 2023
2023-03-05T11:27:39
oeisdata/seq/A360/A360984.seq
43c2e412bae413f4bec2cdcd03f7148e
A360985
Triangle read by rows: T(n,k) is the number of full binary trees with n leaves, each internal node having the heights of its two subtrees weakly increasing left to right, and with k internal nodes having two subtrees of equal height.
[ "1", "0", "1", "0", "1", "0", "0", "1", "0", "1", "0", "1", "1", "1", "0", "0", "1", "2", "2", "1", "0", "0", "1", "4", "3", "2", "2", "0", "0", "1", "6", "7", "6", "3", "0", "1", "0", "1", "9", "13", "14", "9", "3", "1", "0", "0", "1", "12", "27", "27", "22", "14", "3", "1", "0", "0", "1", "16", "47", "59", "54", "32", "16", "7", "0", "0", "0", "1", "20", "81", "117", "125", "91", "44", "20", "8", "1", "0" ]
[ "nonn", "tabl" ]
11
1
18
[ "A000108", "A002620", "A045761", "A335833", "A360985" ]
null
Ludovic Schwob, Feb 27 2023
2023-04-03T21:47:36
oeisdata/seq/A360/A360985.seq
5887f58074fb8b2843e931f42168d618
A360986
Primes whose sum of decimal digits has the same set of decimal digits as the prime.
[ "2", "3", "5", "7", "199", "919", "991", "2999", "9929", "11177", "11717", "17117", "31333", "33331", "71171", "71711", "161611", "616111", "999499", "1111333", "1131133", "1131331", "1133131", "1313311", "3111313", "3111331", "3131113", "3131311", "3133111", "3311131", "3337777", "3377377", "3773377", "3773773", "7377373", "7733377", "7737337", "7737733", "32333333" ]
[ "nonn", "base" ]
27
1
1
[ "A000040", "A158473", "A249515", "A360986" ]
null
Robert Israel, Feb 27 2023
2023-03-06T02:59:40
oeisdata/seq/A360/A360986.seq
4d332e77431780fd4d1db4ee006a83ba
A360987
E.g.f. satisfies A(x) = exp(x * A(-x)^2).
[ "1", "1", "-3", "-23", "233", "3521", "-62171", "-1416407", "35880977", "1095318721", "-36224195059", "-1387587617239", "56675849155705", "2612993427672577", "-127090039302776395", "-6852033608852338199", "386750643197222855969", "23875394847093826450049" ]
[ "sign" ]
12
0
3
[ "A141369", "A196198", "A360987", "A360988", "A360989", "A360990" ]
null
Seiichi Manyama, Feb 27 2023
2023-03-01T06:22:38
oeisdata/seq/A360/A360987.seq
748ee9bc5b438db43199ee7ecb46f681
A360988
E.g.f. satisfies A(x) = exp(x * A(-x)^3).
[ "1", "1", "-5", "-44", "829", "14656", "-488897", "-13063616", "629051449", "22531502080", "-1420908901469", "-63859764079616", "4983153798630709", "269501734545522688", "-25073583375908431769", "-1585437525801020801024", "171326697778165116452977", "12401692280007001315999744" ]
[ "sign" ]
9
0
3
[ "A141369", "A196198", "A360987", "A360988", "A360989", "A360990" ]
null
Seiichi Manyama, Feb 27 2023
2023-02-28T06:49:10
oeisdata/seq/A360/A360988.seq
82568b879595abac85f10d1a6b6117f9
A360989
E.g.f. satisfies A(x) = exp(x / A(-x)^2).
[ "1", "1", "5", "1", "-231", "81", "55453", "-40431", "-30313231", "33477985", "29630916981", "-43713004191", "-45378051616631", "83666428734513", "100216964952070541", "-221570666935625999", "-301515678925659598623", "777062158771833364929", "1185517627245415533666277" ]
[ "sign" ]
17
0
3
[ "A141369", "A196198", "A360987", "A360988", "A360989", "A360990" ]
null
Seiichi Manyama, Feb 27 2023
2023-03-18T05:00:15
oeisdata/seq/A360/A360989.seq
154f5bd240dbc577bf0252c8db81e8c9
A360990
E.g.f. satisfies A(x) = exp(x / A(-x)^3).
[ "1", "1", "7", "-8", "-827", "2896", "452179", "-2511872", "-560237303", "4254259456", "1237434920191", "-11907540107264", "-4275828959720435", "49800209789734912", "21288959122755516235", "-290981680034059649024", "-144324916601232035246831", "2264121148389579474141184" ]
[ "sign" ]
13
0
3
[ "A141369", "A196198", "A360987", "A360988", "A360989", "A360990" ]
null
Seiichi Manyama, Feb 27 2023
2023-03-12T10:18:23
oeisdata/seq/A360/A360990.seq
be8f38c9e04f4597c83f1395aea3d3e3
A360991
Expansion of e.g.f. exp(exp(x) - 1 + x^2/2).
[ "1", "1", "3", "8", "30", "117", "533", "2599", "13919", "79620", "487810", "3167265", "21744187", "157020697", "1189321019", "9417789650", "77774264012", "668233623419", "5961395449795", "55117233908411", "527263186773227", "5210880621612366", "53130216638022540", "558176360466846439" ]
[ "nonn", "easy" ]
30
0
3
[ "A097514", "A355337", "A360991", "A361489" ]
null
Seiichi Manyama, Mar 14 2023
2023-03-14T12:58:22
oeisdata/seq/A360/A360991.seq
5bdfa155b4eebcf315fd3f62593b07cc
A360992
G.f. satisfies A(x) = 1 + x * (1 - x)^2 * A(x * (1 - x)).
[ "1", "1", "-1", "-3", "4", "12", "-38", "-33", "428", "-696", "-3640", "23140", "-24766", "-358024", "2254416", "-2636188", "-48229769", "372329934", "-777177980", "-8375653981", "92394060425", "-351172999190", "-1461026905290", "30190430840555", "-192411489098224", "66898238530023", "11177278011895383" ]
[ "sign" ]
8
0
4
[ "A360887", "A360894", "A360992" ]
null
Seiichi Manyama, Feb 27 2023
2023-02-28T06:48:16
oeisdata/seq/A360/A360992.seq
ce03530ca58f5bdd2ec6d7f446a5e5a3
A360993
Numbers k such that (2^k - 1)^3 + 2 is a semiprime.
[ "4", "5", "8", "12", "13", "18", "20", "29", "38", "56", "60", "62", "76", "82", "101", "118", "202", "210", "230", "276", "328", "332", "336", "338", "368" ]
[ "nonn", "more", "hard" ]
30
1
1
[ "A091515", "A091516", "A100899", "A100900", "A268574", "A269264", "A360993", "A360994" ]
null
Serge Batalov, Feb 27 2023
2023-03-03T13:56:07
oeisdata/seq/A360/A360993.seq
67b96ca73d89e45aeb8d770cb592d5b5
A360994
Numbers k such that (2^k + 1)^3 - 2 is a semiprime.
[ "0", "1", "2", "4", "5", "6", "13", "14", "18", "27", "43", "45", "63", "76", "85", "108", "115", "119", "123", "187", "211", "215", "283", "312" ]
[ "nonn", "more", "hard" ]
39
1
3
[ "A001358", "A091513", "A091514", "A093069", "A099359", "A100899", "A100900", "A269264", "A360993", "A360994" ]
null
Serge Batalov, Feb 27 2023
2023-03-03T06:01:27
oeisdata/seq/A360/A360994.seq
0e954bd608d0efb9d30000f3d0480f06
A360995
a(1)=0, a(2)=4, and thereafter a(n) is the smallest unused difference between two numbers whose product is equal to a(n-1)*a(n-2).
[ "0", "4", "1", "3", "2", "5", "9", "12", "23", "11", "252", "19", "13", "6", "7", "41", "34", "65", "31", "142", "111", "139", "28", "264", "46", "40", "57", "17", "32", "15", "14", "29", "51", "22", "49", "27", "42", "33", "45", "84", "16", "10", "36", "18", "63", "67", "180", "44", "38", "54", "21", "117", "24", "77", "53", "360", "39", "66", "73", "113", "8248", "127", "1554", "137" ]
[ "nonn" ]
31
1
2
[ "A359035", "A360995" ]
null
Neal Gersh Tolunsky, Feb 27 2023
2023-03-11T19:48:19
oeisdata/seq/A360/A360995.seq
f44236cf9ca4508ef2e694a8afcb9529
A360996
Multiplicative with a(p^e) = 5*e, p prime and e > 0.
[ "1", "5", "5", "10", "5", "25", "5", "15", "10", "25", "5", "50", "5", "25", "25", "20", "5", "50", "5", "50", "25", "25", "5", "75", "10", "25", "15", "50", "5", "125", "5", "25", "25", "25", "25", "100", "5", "25", "25", "75", "5", "125", "5", "50", "50", "25", "5", "100", "10", "50", "25", "50", "5", "75", "25", "75", "25", "25", "5", "250", "5", "25", "50", "30", "25", "125", "5", "50", "25", "125", "5", "150" ]
[ "nonn", "mult", "easy" ]
15
1
2
[ "A000005", "A005361", "A048691", "A048785", "A082476", "A226602", "A322327", "A322328", "A343443", "A360908", "A360909", "A360910", "A360911", "A360996", "A360997" ]
null
Vaclav Kotesovec, Feb 28 2023
2025-04-03T01:34:50
oeisdata/seq/A360/A360996.seq
048a29a40c51b63fbcb11a6769cbb26c
A360997
Multiplicative with a(p^e) = e + 3.
[ "1", "4", "4", "5", "4", "16", "4", "6", "5", "16", "4", "20", "4", "16", "16", "7", "4", "20", "4", "20", "16", "16", "4", "24", "5", "16", "6", "20", "4", "64", "4", "8", "16", "16", "16", "25", "4", "16", "16", "24", "4", "64", "4", "20", "20", "16", "4", "28", "5", "20", "16", "20", "4", "24", "16", "24", "16", "16", "4", "80", "4", "16", "20", "9", "16", "64", "4", "20", "16", "64", "4", "30", "4", "16" ]
[ "nonn", "easy", "mult" ]
14
1
2
[ "A000005", "A005361", "A007425", "A007426", "A048691", "A048785", "A074816", "A226602", "A322327", "A322328", "A343443", "A360908", "A360909", "A360910", "A360911", "A360996", "A360997" ]
null
Vaclav Kotesovec, Feb 28 2023
2023-09-01T04:09:05
oeisdata/seq/A360/A360997.seq
0068df8fe406c7047a6935c0a93c0f84
A360998
Triangle read by rows: T(n,k) is the number of tilings of an n X k rectangle by integer-sided rectangular pieces that cannot be rearranged to produce a different tiling of the rectangle (including rotations and reflections of the original tiling), 1 <= k <= n.
[ "1", "2", "2", "2", "3", "2", "3", "4", "4", "3", "2", "3", "3", "4", "2", "4", "6", "5", "7", "5", "4" ]
[ "nonn", "tabl", "more" ]
13
1
2
[ "A000005", "A083039", "A360629", "A360998", "A360999", "A361000", "A361001" ]
null
Pontus von Brömssen, Feb 28 2023
2023-03-15T20:07:07
oeisdata/seq/A360/A360998.seq
aef58635f079c069e940fddde598a3d7
A360999
Number of tilings of an n X 2 rectangle by integer-sided rectangular pieces that cannot be rearranged to produce a different tiling of the rectangle (including rotations and reflections of the original tiling).
[ "2", "2", "3", "4", "3", "6", "3", "6", "5", "6", "3", "10", "3", "6", "7", "8", "3", "10", "3", "10", "7", "6", "3", "14", "5", "6", "7", "10", "3", "14", "3", "10", "7", "6", "7", "16", "3", "6", "7", "14", "3", "14", "3", "10", "11", "6", "3", "18", "5", "10", "7", "10", "3", "14", "7", "14", "7", "6", "3", "22", "3", "6", "11", "12", "7", "14", "3", "10", "7", "14", "3", "22", "3", "6", "11", "10", "7", "14" ]
[ "nonn" ]
24
1
1
[ "A000005", "A000035", "A086369", "A114003", "A360631", "A360998", "A360999", "A361004" ]
null
Pontus von Brömssen, Feb 28 2023
2023-03-04T11:43:30
oeisdata/seq/A360/A360999.seq
a16adb4fbd44ed7f5256b2629bef23bf
A361000
Number of tilings of an n X 3 rectangle by integer-sided rectangular pieces that cannot be rearranged to produce a different tiling of the rectangle (including rotations and reflections of the original tiling).
[ "2", "3", "2", "4", "3", "5", "3", "6", "4", "6", "3", "9", "3", "6", "6", "8", "3", "9", "3", "10", "6", "6", "3", "13", "5", "6", "6", "10", "3", "13", "3", "10", "6", "6", "7", "15", "3", "6", "6", "14", "3", "13", "3", "10", "10", "6", "3", "17", "5", "10", "6", "10", "3", "13", "7", "14", "6", "6", "3", "21", "3", "6", "10", "12", "7", "13", "3", "10", "6", "14", "3", "21", "3", "6", "10", "10", "7", "13", "3" ]
[ "nonn" ]
16
1
1
[ "A000005", "A083039", "A360632", "A360998", "A361000", "A361005" ]
null
Pontus von Brömssen, Feb 28 2023
2024-07-19T13:29:06
oeisdata/seq/A361/A361000.seq
016dadd6deb3555385f9862f5eb346de