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2025-04-28 00:58:08
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32
A006201
Number of colorings of labeled graphs on n nodes using exactly 3 colors, divided by 48.
[ "0", "0", "1", "24", "640", "24000", "1367296", "122056704", "17282252800", "3897054412800", "1400795928395776", "802530102499344384", "732523556206878392320", "1064849635418836398243840", "2464403435614136308036796416" ]
[ "nonn", "easy", "nice" ]
31
1
4
[ "A000683", "A006201", "A058843", "A213442" ]
[ "M5167" ]
N. J. A. Sloane
2018-12-01T04:47:49
oeisdata/seq/A006/A006201.seq
a806990f9e43174caabcdd6bc8b84eb1
A006202
Number of colorings of labeled graphs on n nodes using exactly 4 colors, divided by 4!*2^6.
[ "0", "0", "0", "1", "80", "7040", "878080", "169967616", "53247344640", "27580935700480", "23884321532149760", "34771166607668412416", "85316631064301031915520", "353171748158258855521812480", "2467057266045387831319241687040", "29078599995993904385498084987109376" ]
[ "nonn", "easy" ]
26
1
5
[ "A000683", "A006202", "A058875", "A224068" ]
[ "M5356" ]
N. J. A. Sloane
2019-09-05T04:09:56
oeisdata/seq/A006/A006202.seq
996b187ebdac77f738344ec1c0814e82
A006203
Discriminants of imaginary quadratic fields with class number 3 (negated).
[ "23", "31", "59", "83", "107", "139", "211", "283", "307", "331", "379", "499", "547", "643", "883", "907" ]
[ "fini", "nonn", "full", "nice" ]
46
1
1
[ "A003173", "A005847", "A006203", "A013658", "A014602", "A014603", "A046002", "A046020", "A191410" ]
[ "M5131" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006203.seq
f05eadf6a96511941c2285d0631f2230
A006204
Number of starters in cyclic group of order 2n+1.
[ "1", "1", "3", "9", "25", "133", "631", "3857", "25905", "188181", "1515283", "13376125", "128102625", "1317606101", "14534145947", "170922533545", "2138089212789" ]
[ "nonn", "nice", "hard", "more" ]
39
1
3
[ "A003111", "A006204", "A006717", "A071607", "A071608", "A071706" ]
[ "M2802" ]
N. J. A. Sloane
2024-08-05T13:52:36
oeisdata/seq/A006/A006204.seq
9cc50316751b228ee470051c9fe1ca3a
A006205
Number of inequivalent strong starters in cyclic group of order 2n+1.
[ "0", "0", "1", "0", "2", "2", "4", "14", "52", "555", "1257", "7934", "66757", "336297", "2558894", "33642945", "250637748", "1653170339" ]
[ "nonn" ]
24
1
5
[ "A001443", "A006205" ]
[ "M0341" ]
N. J. A. Sloane
2024-08-05T13:53:05
oeisdata/seq/A006/A006205.seq
524cecbe0f74898c59d09dc18e05ec1b
A006206
Number of aperiodic binary necklaces of length n with no subsequence 00, excluding the necklace "0".
[ "1", "1", "1", "1", "2", "2", "4", "5", "8", "11", "18", "25", "40", "58", "90", "135", "210", "316", "492", "750", "1164", "1791", "2786", "4305", "6710", "10420", "16264", "25350", "39650", "61967", "97108", "152145", "238818", "374955", "589520", "927200", "1459960", "2299854", "3626200", "5720274", "9030450", "14263078" ]
[ "nonn", "easy", "nice" ]
117
1
5
[ "A000045", "A001461", "A006206", "A006207", "A006208", "A006209", "A006210", "A006211", "A008683", "A027750", "A094392", "A113788", "A125951", "A130628", "A208092" ]
[ "M0317" ]
N. J. A. Sloane and Frank Ruskey
2025-02-03T01:46:08
oeisdata/seq/A006/A006206.seq
dcc5ca83d2d4e1d8b460db4aeaf75f68
A006207
Generalized Fibonacci numbers A_{n,2}.
[ "1", "1", "0", "1", "1", "2", "2", "3", "4", "6", "8", "11", "16", "23", "32", "46", "66", "94", "136", "195", "282", "408", "592", "856", "1248", "1814", "2646", "3858", "5644", "8246", "12088", "17706", "25992", "38155", "56102", "82490", "121474", "178902", "263776", "389033", "574304", "848069", "1253344", "1852926", "2741164" ]
[ "nonn" ]
33
1
6
[ "A006206", "A006207", "A006208", "A006209", "A006210", "A006211", "A094392", "A130628", "A208092" ]
[ "M0286" ]
N. J. A. Sloane
2018-11-18T07:39:07
oeisdata/seq/A006/A006207.seq
07a173549b96c916da1e3ecc5f5ca425
A006208
Generalized Fibonacci numbers A_{n,3}.
[ "1", "1", "0", "1", "0", "2", "1", "3", "2", "6", "4", "9", "8", "18", "16", "32", "32", "61", "64", "115", "128", "224", "258", "431", "520", "850", "1050", "1673", "2128", "3328", "4320", "6649", "8788", "13366", "17920", "26957", "36610", "54634", "74932", "111057", "153656", "226514", "315616", "463243", "649334", "949823", "1337984", "1951760" ]
[ "nonn" ]
31
1
6
[ "A006206", "A006207", "A006208", "A006209", "A006210", "A006211", "A094392", "A130628", "A208092" ]
[ "M0148" ]
N. J. A. Sloane
2018-10-01T08:20:00
oeisdata/seq/A006/A006208.seq
64f48e9ef77fdbfb82422f10c51c3709
A006209
Generalized Fibonacci numbers A_{n,4}.
[ "1", "1", "0", "1", "0", "2", "0", "3", "1", "6", "2", "9", "4", "18", "8", "30", "16", "56", "32", "101", "64", "191", "128", "351", "256", "668", "512", "1257", "1026", "2402", "2056", "4592", "4122", "8854", "8272", "17092", "16608", "33212", "33364", "64674", "67072", "126490", "134912", "248038", "271528", "487986", "546818", "962350" ]
[ "nonn" ]
30
1
6
[ "A006206", "A006207", "A006208", "A006209", "A006210", "A006211", "A094392", "A130628", "A208092" ]
[ "M0027" ]
N. J. A. Sloane
2025-01-05T19:51:33
oeisdata/seq/A006/A006209.seq
989dc43ef0f3da68b128702b1e1808a0
A006210
Generalized Fibonacci numbers D_{n,2}.
[ "0", "1", "2", "4", "8", "16", "34", "72", "154", "336", "738", "1632", "3640", "8160", "18384", "41616", "94560", "215600", "493122", "1130976", "2600388", "5992560", "13838306", "32016576", "74203112", "172252080", "400451282", "932247360", "2173035800", "5071299968", "11848259458", "27710346528", "64871460996" ]
[ "nonn" ]
17
1
3
null
[ "M1132" ]
N. J. A. Sloane.
2016-10-20T13:17:57
oeisdata/seq/A006/A006210.seq
80eaabd43a648652b612831fcd39d890
A006211
Generalized Fibonacci numbers D_{n,3}.
[ "0", "0", "1", "2", "4", "8", "16", "32", "64", "130", "264", "538", "1104", "2272", "4692", "9730", "20236", "42208", "88288", "185126", "389072", "819458", "1729296", "3655936", "7742124", "16420928", "34879040", "74185364", "157986068", "336845482", "718988144", "1536250336", "3285674088", "7033709954", "15070204524" ]
[ "nonn" ]
17
1
4
null
[ "M1130" ]
N. J. A. Sloane.
2016-10-20T13:18:11
oeisdata/seq/A006/A006211.seq
fcf53757cddead0b270e9dfbc0111d05
A006212
Number of down-up permutations of n+3 starting with n+1.
[ "0", "1", "4", "14", "56", "256", "1324", "7664", "49136", "345856", "2652244", "22014464", "196658216", "1881389056", "19192151164", "207961585664", "2385488163296", "28879019769856", "367966308562084", "4922409168011264", "68978503204900376", "1010472388453728256", "15445185289163949004" ]
[ "nonn", "easy" ]
40
0
3
[ "A000111", "A006212", "A008282", "A010094" ]
[ "M3485" ]
N. J. A. Sloane.
2021-02-18T01:58:14
oeisdata/seq/A006/A006212.seq
701b79c9c9965009b9beb3cccf62840e
A006213
Number of down-up permutations of n+4 starting with n+1.
[ "0", "2", "10", "46", "224", "1202", "7120", "46366", "329984", "2551202", "21306880", "191252686", "1836652544", "18793429202", "204154071040", "2346705139006", "28459289083904", "363156549211202", "4864231397785600", "68237760828425326", "1000569392347480064", "15306487540377673202" ]
[ "nonn", "easy" ]
39
0
2
[ "A000111", "A006213", "A008282", "A010094" ]
[ "M1970" ]
N. J. A. Sloane.
2024-08-02T06:28:42
oeisdata/seq/A006/A006213.seq
fa8edfe98757751b43d82618c59ca1af
A006214
Number of down-up permutations of n+5 starting with n+1.
[ "0", "5", "32", "178", "1024", "6320", "42272", "306448", "2401024", "20253440", "183194912", "1769901568", "18198049024", "198465167360", "2288729963552", "27831596812288", "355961301697024", "4777174607790080", "67129052143388192", "985743987073220608", "15098811288386497024", "240833888369219993600" ]
[ "nonn", "easy" ]
31
0
2
[ "A000111", "A006214", "A008282" ]
[ "M3967" ]
N. J. A. Sloane.
2024-08-02T06:28:47
oeisdata/seq/A006/A006214.seq
4fca431c885585d77b75c4f86f6d1b85
A006215
Number of down-up permutations of n+6 starting with n+1.
[ "0", "16", "122", "800", "5296", "36976", "275792", "2204480", "18870016", "172585936", "1681843712", "17411416160", "190939611136", "2211961358896", "26999750469632", "346419349043840", "4661658528710656", "65657186909139856", "966054350401175552", "14822897275566895520" ]
[ "nonn", "easy" ]
27
0
2
[ "A000111", "A006215", "A008282" ]
[ "M5007" ]
N. J. A. Sloane.
2021-02-17T07:35:04
oeisdata/seq/A006/A006215.seq
a25a636d8f8b0e8e9c73511640cc4fcf
A006216
Number of down-up permutations of n+4 starting with 4.
[ "2", "5", "14", "46", "178", "800", "4094", "23536", "150178", "1053440", "8057774", "66750976", "595380178", "5688903680", "57975175454", "627692271616", "7195247514178", "87056789995520", "1108708685037134", "14825405274259456", "207676251991176178" ]
[ "nonn", "easy", "nice" ]
39
0
1
[ "A000111", "A006216", "A008282" ]
[ "M1466" ]
N. J. A. Sloane
2021-02-17T07:35:23
oeisdata/seq/A006/A006216.seq
4918890b977ac6eb50ff248a4ca05cf1
A006217
Number of down-up permutations of n+5 starting with 5.
[ "5", "16", "56", "224", "1024", "5296", "30656", "196544", "1383424", "10608976", "88057856", "786632864", "7525556224", "76768604656", "831846342656", "9541952653184", "115516079079424", "1471865234248336", "19689636672045056", "275914012819601504" ]
[ "nonn", "easy" ]
23
0
1
[ "A000111", "A006217", "A008282" ]
[ "M3869" ]
N. J. A. Sloane.
2021-02-17T19:28:08
oeisdata/seq/A006/A006217.seq
214f94ac31e4ffe89499a4e872199fbb
A006218
a(n) = Sum_{k=1..n} floor(n/k); also Sum_{k=1..n} d(k), where d = number of divisors (A000005); also number of solutions to x*y = z with 1 <= x,y,z <= n.
[ "0", "1", "3", "5", "8", "10", "14", "16", "20", "23", "27", "29", "35", "37", "41", "45", "50", "52", "58", "60", "66", "70", "74", "76", "84", "87", "91", "95", "101", "103", "111", "113", "119", "123", "127", "131", "140", "142", "146", "150", "158", "160", "168", "170", "176", "182", "186", "188", "198", "201", "207", "211", "217", "219", "227", "231", "239", "243", "247", "249" ]
[ "nonn", "easy", "nice" ]
278
0
3
[ "A000005", "A001659", "A003988", "A004125", "A006218", "A010766", "A051731", "A052511", "A055507", "A056535", "A061017", "A078567", "A116477", "A143236", "A143724", "A161700", "A212120", "A341062" ]
[ "M2432" ]
N. J. A. Sloane
2024-08-02T04:32:24
oeisdata/seq/A006/A006218.seq
8cb96e683045f9bb39db8ed2e017a862
A006219
From descending subsequences of permutations.
[ "3", "8", "25", "89", "357", "1602", "7959", "43127", "250591", "1537051", "9827077" ]
[ "nonn", "more" ]
10
3
1
[ "A006219", "A224652" ]
[ "M2752" ]
N. J. A. Sloane.
2017-02-03T17:13:56
oeisdata/seq/A006/A006219.seq
f8291219f14b7a718ecf5a4e9b4e03d2
A006220
From descending subsequences of permutations.
[ "1", "1", "3", "10", "45", "251", "1638", "12300", "104877", "1000135", "10534062", "121436206", "1521332904" ]
[ "nonn", "more" ]
11
1
3
[ "A006220", "A224652" ]
[ "M2866" ]
N. J. A. Sloane.
2017-02-03T17:12:20
oeisdata/seq/A006/A006220.seq
e1d3ebaf6115e8e718da4e188ef07c64
A006221
From Apery continued fraction for zeta(3): zeta(3)=6/(5-1^6/(117-2^6/(535-3^6/(1463...)))).
[ "5", "117", "535", "1463", "3105", "5665", "9347", "14355", "20893", "29165", "39375", "51727", "66425", "83673", "103675", "126635", "152757", "182245", "215303", "252135", "292945", "337937", "387315", "441283", "500045", "563805", "632767", "707135", "787113", "872905", "964715", "1062747", "1167205", "1278293", "1396215", "1521175" ]
[ "nonn", "easy" ]
52
0
1
[ "A002117", "A005259", "A006221" ]
[ "M4026" ]
N. J. A. Sloane
2024-12-29T01:06:59
oeisdata/seq/A006/A006221.seq
a205bf4f3236c7fe67d58a5b13d55408
A006222
11*n^2 + 11*n + 3.
[ "3", "25", "69", "135", "223", "333", "465", "619", "795", "993", "1213", "1455", "1719", "2005", "2313", "2643", "2995", "3369", "3765", "4183", "4623", "5085", "5569", "6075", "6603", "7153", "7725", "8319", "8935", "9573", "10233", "10915", "11619", "12345", "13093", "13863", "14655", "15469", "16305" ]
[ "nonn", "easy" ]
32
0
1
null
[ "M3109" ]
N. J. A. Sloane.
2022-09-08T08:44:34
oeisdata/seq/A006/A006222.seq
751d842214e74d15a265c4b044983a88
A006223
Number of binary rooted trees of height n requiring 3 registers.
[ "1", "14", "118", "780", "4466", "23276", "113620", "528840", "2375100", "10378056", "44381832", "186574864", "773564328", "3171317360", "12880883408", "51915526432", "207893871472", "827983736608" ]
[ "nonn" ]
32
7
2
null
[ "M4940" ]
N. J. A. Sloane
2022-04-13T13:25:18
oeisdata/seq/A006/A006223.seq
4187af63d56db88b923bb1aa2bfb666d
A006224
Rabbytes: group eight successive Fibonacci numbers in binary and translate to decimal.
[ "0", "1", "3", "14", "59", "477", "7640", "122253", "3912117", "116157794", "3139131575", "126930934745", "6106040228240", "155771414876393", "7697370378785657", "388117487932008034", "10050682094475643867", "513739377290126483005" ]
[ "nonn", "base", "easy" ]
5
0
3
[ "A006224", "A006225" ]
null
Olivier Gérard
2012-03-30T17:20:36
oeisdata/seq/A006/A006224.seq
50fa3d1d633fe756c3f9d0e619801941
A006225
Rabbytes: group eight successive Fibonacci numbers in reversed binary and translate to decimal.
[ "0", "1", "3", "13", "55", "445", "7121", "113947", "3646325", "99147089", "2050446459", "125018193357", "5616378432777", "30417995237783", "6566814307004221", "383349575034664217", "5168339287595575151", "549730084897741831651", "22737447826678001578373" ]
[ "nonn", "base", "easy" ]
5
0
3
[ "A006224", "A006225" ]
null
Olivier Gérard
2012-03-30T17:20:36
oeisdata/seq/A006/A006225.seq
6aabb35a10ce79cc041274588c4206b6
A006226
Number of abstract n-dimensional crystallographic point groups.
[ "1", "2", "9", "18", "118", "239", "1594" ]
[ "hard", "nonn", "more", "nice" ]
40
0
2
[ "A004027", "A004028", "A004029", "A006226" ]
[ "M1916" ]
N. J. A. Sloane
2017-11-06T02:39:23
oeisdata/seq/A006/A006226.seq
7e7c1ff9ffa4739d81f4f13c4e83ab3e
A006227
Number of n-dimensional space groups (including enantiomorphs).
[ "1", "2", "17", "230", "4894", "222097" ]
[ "nonn", "hard", "more", "nice" ]
78
0
2
[ "A004027", "A004029", "A006227", "A293061" ]
[ "M2104" ]
N. J. A. Sloane
2023-10-04T16:17:23
oeisdata/seq/A006/A006227.seq
f4894fd9aa6aca29888f2b3b40a2ebfa
A006228
Expansion of exp(arcsin(x)).
[ "1", "1", "1", "2", "5", "20", "85", "520", "3145", "26000", "204425", "2132000", "20646925", "260104000", "2993804125", "44217680000", "589779412625", "9993195680000", "151573309044625", "2898026747200000", "49261325439503125", "1049085682486400000", "19753791501240753125", "463695871658988800000" ]
[ "nonn" ]
44
0
4
[ "A002019", "A006228", "A101927", "A101928", "A166741", "A166748" ]
[ "M1523" ]
N. J. A. Sloane, Jeffrey Shallit
2018-08-17T13:41:40
oeisdata/seq/A006/A006228.seq
42c8fc959ed5b3af341872095382a8d2
A006229
Expansion of e.g.f. exp( tan x ).
[ "1", "1", "1", "3", "9", "37", "177", "959", "6097", "41641", "325249", "2693691", "24807321", "241586893", "2558036145", "28607094455", "342232522657", "4315903789009", "57569080467073", "807258131578995", "11879658510739497", "183184249105857781", "2948163649552594737", "49548882107764546223" ]
[ "nonn", "easy", "nice" ]
51
0
4
[ "A000182", "A003711", "A003717", "A006229", "A047691", "A047692", "A059419", "A111593" ]
[ "M2822" ]
N. J. A. Sloane, Jeffrey Shallit
2024-12-29T03:52:47
oeisdata/seq/A006/A006229.seq
d0362092683f576700a05635d00cfa65
A006230
Bitriangular permutations.
[ "1", "13", "73", "301", "1081", "3613", "11593", "36301", "111961", "342013", "1038313", "3139501", "9467641", "28501213", "85700233", "257493901", "773268121", "2321377213", "6967277353", "20908123501", "62736953401", "188236026013", "564758409673", "1694375892301", "5083329003481", "15250389663613" ]
[ "nonn", "easy" ]
39
4
2
[ "A006230", "A136301", "A371761" ]
[ "M4902" ]
N. J. A. Sloane
2024-04-12T14:00:06
oeisdata/seq/A006/A006230.seq
d0f3c5c011fe107297a6ad592ca554d6
A006231
a(n) = Sum_{k=2..n} n(n-1)...(n-k+1)/k.
[ "0", "1", "5", "20", "84", "409", "2365", "16064", "125664", "1112073", "10976173", "119481284", "1421542628", "18348340113", "255323504917", "3809950976992", "60683990530208", "1027542662934897", "18430998766219317", "349096664728623316", "6962409983976703316", "145841989688186383337" ]
[ "nonn", "easy", "nice" ]
92
1
3
[ "A000295", "A006231", "A059760", "A136394" ]
[ "M3908" ]
R. K. Guy
2024-07-30T05:08:45
oeisdata/seq/A006/A006231.seq
03e2cd76a1d46455cd05edf977b5f649
A006232
Numerators of Cauchy numbers of first type.
[ "1", "1", "-1", "1", "-19", "9", "-863", "1375", "-33953", "57281", "-3250433", "1891755", "-13695779093", "24466579093", "-132282840127", "240208245823", "-111956703448001", "4573423873125", "-30342376302478019", "56310194579604163" ]
[ "sign", "frac", "nice" ]
113
0
5
[ "A002206", "A002207", "A002208", "A002209", "A002657", "A002790", "A006232", "A006233" ]
[ "M5067" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006232.seq
2634916465e157299e5da01af0be38c4
A006233
Denominators of Cauchy numbers of first type.
[ "1", "2", "6", "4", "30", "4", "84", "24", "90", "20", "132", "8", "5460", "840", "360", "48", "1530", "4", "1596", "168", "1980", "1320", "8280", "80", "81900", "6552", "1512", "112", "3480", "80", "114576", "7392", "117810", "7140", "1260", "8", "3838380", "5928", "936", "48", "81180", "440", "1191960", "55440", "869400", "38640", "236880", "224" ]
[ "nonn", "frac", "nice", "easy" ]
87
0
2
[ "A002206", "A002207", "A002208", "A002209", "A002657", "A002790", "A006232", "A006233" ]
[ "M1558" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006233.seq
0525f726081dad554001a162c711449e
A006234
a(n) = n*3^(n-4).
[ "1", "4", "15", "54", "189", "648", "2187", "7290", "24057", "78732", "255879", "826686", "2657205", "8503056", "27103491", "86093442", "272629233", "860934420", "2711943423", "8523250758", "26732013741", "83682825624", "261508830075", "815907549834", "2541865828329" ]
[ "nonn", "easy" ]
101
3
2
[ "A000244", "A001792", "A006234", "A036290", "A050914", "A112626" ]
[ "M3496" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006234.seq
1c0560b4ea692ccf1be62afa3ff2eed8
A006235
Complexity of doubled cycle (regarding case n = 2 as a multigraph).
[ "1", "12", "75", "384", "1805", "8100", "35287", "150528", "632025", "2620860", "10759331", "43804800", "177105253", "711809364", "2846259375", "11330543616", "44929049777", "177540878700", "699402223099", "2747583822720", "10766828545725", "42095796462852", "164244726238343", "639620518118400", "2486558615814025" ]
[ "nonn", "easy" ]
88
1
2
[ "A001075", "A006235", "A006237", "A072373", "A129743", "A173958" ]
[ "M4849" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006235.seq
30445bb6975b779b7d689fe53c219097
A006236
a(n) = n^(n-2)*(n+2)^(n-1).
[ "1", "4", "75", "3456", "300125", "42467328", "8931928887", "2621440000000", "1025271882697689", "515978035200000000", "325063112540091870659", "250738401558910243700736", "232526248038920243408203125", "255326682647558617373989666816", "327696095670976278474202880859375", "486146690661928563361690196851556352" ]
[ "nonn" ]
18
1
2
null
[ "M3698" ]
N. J. A. Sloane
2024-05-19T08:05:06
oeisdata/seq/A006/A006236.seq
f23784431acfbb586e4a28160b53c3c2
A006237
Complexity of tensor sum of n graphs; or spanning trees on n-cube.
[ "1", "1", "4", "384", "42467328", "20776019874734407680", "1657509127047778993870601546036901052416000000", "153850844349814660487100539994381178281567942393055761257560677644718869248475136000000000000000000000" ]
[ "nonn", "easy", "nice" ]
47
0
3
[ "A006235", "A006237" ]
[ "M3725" ]
N. J. A. Sloane, Don Knuth
2025-02-16T08:32:29
oeisdata/seq/A006/A006237.seq
c85278efbf7b5ef4e1d087c232fbee2f
A006238
Complexity of (or spanning trees in) a 3 X n grid.
[ "1", "15", "192", "2415", "30305", "380160", "4768673", "59817135", "750331584", "9411975375", "118061508289", "1480934568960", "18576479568193", "233018797965135", "2922930580320960", "36664523428884015", "459910778352898337", "5769007865476035840", "72365017995700730081", "907729015392142395375" ]
[ "nonn" ]
62
1
2
[ "A006238", "A100047", "A116469" ]
[ "M4986" ]
Frans J. Faase
2024-05-19T09:42:44
oeisdata/seq/A006/A006238.seq
3d2c2127ff26cc061cfe3ad0e387a792
A006239
Row 3 of array in A212801.
[ "1", "13", "108", "793", "5611", "39312", "274933", "1923025", "13455396", "94169413", "659134543", "4613813568", "32296413241", "226074381637", "1582520088348", "11077641280225", "77543496352291", "542804506787088", "3799631657379853", "26597421924762793" ]
[ "nonn" ]
32
1
2
[ "A006239", "A212801" ]
[ "M4909" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006239.seq
26fc4761482d6a8ffae9f6dbcf9b266a
A006240
Row 4 of array in A212801.
[ "1", "40", "793", "12800", "193721", "2886520", "42999713", "642355200", "9617422321", "144167168200", "2162192792233", "32433400563200", "486521516676521", "7298047169453080", "109472483776866353", "1642098503032012800", "24631532723767204321", "369473147671033293160", "5542096617629211606073", "83131435057615545920000" ]
[ "nonn" ]
32
1
2
[ "A006240", "A212801" ]
[ "M5271" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006240.seq
b0adac4d8f17044b868edfc9d04427d8
A006241
Number of minimal plane trees with n terminal nodes.
[ "1", "1", "1", "2", "1", "3", "1", "6", "2", "3", "1", "20", "1", "3", "3", "54", "1", "34", "1", "44", "3", "3", "1", "764", "2", "3", "10", "140", "1", "283", "1", "4470", "3", "3", "3", "10416", "1", "3", "3", "10820", "1", "2227", "1", "2060", "62", "3", "1", "958476", "2", "250", "3", "8204", "1", "59154", "3", "316004", "3", "3", "1", "3457904", "1", "3", "158", "30229110", "3" ]
[ "nonn" ]
35
1
4
[ "A001003", "A006241", "A281145" ]
[ "M0133" ]
N. J. A. Sloane
2021-12-26T21:31:59
oeisdata/seq/A006/A006241.seq
ad056c7ed1f9b9b3a0a810214c22f133
A006242
Extracting a square root.
[ "10", "970", "912670090", "760223786832147978143718730", "439363892017598816969702791108195858981800447259539613873486126455827777484460810" ]
[ "nonn", "easy" ]
33
1
1
[ "A006242", "A006243" ]
[ "M4758" ]
N. J. A. Sloane
2022-09-08T08:44:34
oeisdata/seq/A006/A006242.seq
132e7e7f6479d7f63d1324fa18a161d5
A006243
Extracting a square root.
[ "198", "7761798", "467613464999866416198", "102249460387306384473056172738577521087843948916391508591105798" ]
[ "nonn" ]
31
1
1
[ "A006242", "A006243", "A112845" ]
[ "M5412" ]
N. J. A. Sloane.
2022-09-08T08:44:34
oeisdata/seq/A006/A006243.seq
df41a5e86c859e5c061249d5c980e224
A006244
Hexagonal numbers (A000384) which are also centered hexagonal numbers (A003215).
[ "1", "91", "8911", "873181", "85562821", "8384283271", "821574197731", "80505887094361", "7888755361049641", "773017519495770451", "75747828155224454551", "7422514141692500775541", "727330638057709851548461", "71270980015513872950973631", "6983828710882301839343867371", "684343942686450066382748028721" ]
[ "nonn", "easy" ]
62
1
2
[ "A000384", "A001570", "A001921", "A003215", "A006244", "A253175" ]
[ "M5363" ]
N. J. A. Sloane, Jeffrey Shallit
2025-02-16T08:32:29
oeisdata/seq/A006/A006244.seq
a00dcbf6284336ea13357dac3a4f4a9e
A006245
Number of primitive sorting networks on n elements; also number of rhombic tilings of a 2n-gon.
[ "1", "1", "2", "8", "62", "908", "24698", "1232944", "112018190", "18410581880", "5449192389984", "2894710651370536", "2752596959306389652", "4675651520558571537540", "14163808995580022218786390", "76413073725772593230461936736" ]
[ "nonn", "nice", "more" ]
225
1
3
[ "A005118", "A006245", "A006246", "A006247", "A060596", "A060601" ]
[ "M1894" ]
N. J. A. Sloane
2024-12-20T10:58:50
oeisdata/seq/A006/A006245.seq
728415f739dfa1acf7a0235b137afb9a
A006246
Number of simple arrangements of pseudolines in the projective plane with an oriented marked cell; number of oriented abstract order types of n points (distinguishing mirror-symmetric copies).
[ "1", "1", "1", "2", "3", "20", "242", "6405", "316835", "28627261", "4686329954", "1382939012729", "732955581630129" ]
[ "nonn", "more" ]
46
1
4
[ "A006245", "A006246", "A006247" ]
[ "M0920" ]
N. J. A. Sloane
2025-03-18T16:24:51
oeisdata/seq/A006/A006246.seq
378ee423a22243fdcf4aa7be62a07796
A006247
Number of simple arrangements of n pseudolines in the projective plane with a marked cell. Number of Euclidean pseudo-order types: nondegenerate abstract order types of configurations of n points in the plane.
[ "1", "1", "1", "2", "3", "16", "135", "3315", "158830", "14320182", "2343203071", "691470685682", "366477801792538" ]
[ "nonn", "nice", "hard", "more" ]
118
1
4
[ "A006245", "A006247", "A006248", "A014540", "A063666", "A063852", "A325595", "A325628" ]
[ "M0917" ]
N. J. A. Sloane
2023-12-22T14:25:22
oeisdata/seq/A006/A006247.seq
421bdbb23a937f416fb0d367b82d8ccc
A006248
Number of projective pseudo order types: simple arrangements of pseudo-lines in the projective plane.
[ "1", "1", "1", "1", "1", "4", "11", "135", "4382", "312356", "41848591", "10320613331" ]
[ "nonn", "nice", "hard" ]
94
1
6
[ "A006245", "A006246", "A006248", "A018242", "A063666", "A063851" ]
[ "M3428" ]
N. J. A. Sloane
2023-11-15T06:00:40
oeisdata/seq/A006/A006248.seq
c1a9314e906e968c12bb760cc7276a4c
A006249
Number of hypertournaments on n elements under preisomorphism.
[ "1", "1", "1", "2", "2", "6", "17", "79" ]
[ "nonn" ]
12
1
4
null
[ "M0363" ]
N. J. A. Sloane.
2012-03-30T16:44:56
oeisdata/seq/A006/A006249.seq
8ac6e1c692606cc51dfe1f34ea78415d
A006250
Number of hypertournaments on n elements under signed bijection.
[ "1", "1", "1", "2", "2", "6", "17", "69" ]
[ "nonn" ]
12
1
4
null
[ "M0362" ]
N. J. A. Sloane.
2012-03-30T16:44:56
oeisdata/seq/A006/A006250.seq
2bba6a41630040e0ee6347ccb10804b1
A006251
Number of n-element posets which are unions of 2 chains.
[ "1", "1", "2", "4", "10", "26", "75", "225", "711", "2311", "7725", "26313", "91141", "319749", "1134234", "4060128", "14648614", "53208998", "194423568", "714130372", "2635256408", "9764995800", "36320086418", "135548135854", "507434502474", "1904982684106", "7170113287574", "27051804890638", "102287657120454", "387558371409606", "1471212825012499", "5594771416613721" ]
[ "nonn", "nice", "easy" ]
33
0
3
null
[ "M1216" ]
N. J. A. Sloane
2021-12-17T11:25:51
oeisdata/seq/A006/A006251.seq
34c5f1211ceebdf9d2dc1cdbeac06fc2
A006252
Expansion of e.g.f. 1/(1 - log(1+x)).
[ "1", "1", "1", "2", "4", "14", "38", "216", "600", "6240", "9552", "319296", "-519312", "28108560", "-176474352", "3998454144", "-43985078784", "837126163584", "-12437000028288", "237195036797184", "-4235955315745536", "85886259443020800", "-1746536474655406080", "38320721602434017280", "-864056965711935974400" ]
[ "sign" ]
72
0
4
[ "A006252", "A007840", "A320080" ]
[ "M1275" ]
N. J. A. Sloane
2022-05-22T09:50:00
oeisdata/seq/A006/A006252.seq
b4591cc8cd682497753fcb908e3ab1c8
A006253
Number of perfect matchings (or domino tilings) in C_4 X P_n.
[ "1", "2", "9", "32", "121", "450", "1681", "6272", "23409", "87362", "326041", "1216800", "4541161", "16947842", "63250209", "236052992", "880961761", "3287794050", "12270214441", "45793063712", "170902040409", "637815097922", "2380358351281", "8883618307200", "33154114877521", "123732841202882" ]
[ "nonn", "easy" ]
122
0
2
[ "A002530", "A004003", "A006125", "A006253", "A100047", "A109437", "A181206", "A189650", "A217233", "A233308" ]
[ "M1926" ]
N. J. A. Sloane
2024-07-19T19:30:37
oeisdata/seq/A006/A006253.seq
86ac676458f2fd6f4403cb7cd47990df
A006254
Numbers k such that 2k-1 is prime.
[ "2", "3", "4", "6", "7", "9", "10", "12", "15", "16", "19", "21", "22", "24", "27", "30", "31", "34", "36", "37", "40", "42", "45", "49", "51", "52", "54", "55", "57", "64", "66", "69", "70", "75", "76", "79", "82", "84", "87", "90", "91", "96", "97", "99", "100", "106", "112", "114", "115", "117", "120", "121", "126", "129", "132", "135", "136", "139", "141", "142", "147", "154", "156", "157" ]
[ "nonn", "easy" ]
135
1
1
[ "A000040", "A005097", "A006254", "A065091", "A067076", "A086801", "A089038", "A089192", "A089253", "A089559", "A097069", "A097338", "A097363", "A097480", "A097932", "A098090", "A098605", "A101448", "A105760", "A130291", "A153081", "A153143", "A155722", "A173059" ]
null
Marc LeBrun
2024-08-17T22:52:56
oeisdata/seq/A006/A006254.seq
acc381c561f07d8b8c48646b41b09dfc
A006255
R. L. Graham's sequence: a(n) = smallest m for which there is a sequence n = b_1 < b_2 < ... < b_t = m such that b_1*b_2*...*b_t is a perfect square.
[ "1", "6", "8", "4", "10", "12", "14", "15", "9", "18", "22", "20", "26", "21", "24", "16", "34", "27", "38", "30", "28", "33", "46", "32", "25", "39", "35", "40", "58", "42", "62", "45", "44", "51", "48", "36", "74", "57", "52", "50", "82", "56", "86", "55", "60", "69", "94", "54", "49", "63", "68", "65", "106", "70", "66", "72", "76", "87", "118", "75", "122", "93", "77", "64", "78", "80", "134", "85", "92", "84" ]
[ "nonn", "nice" ]
90
1
2
[ "A006255", "A066400", "A066401", "A067565", "A070229", "A072905", "A092487", "A233421", "A245499" ]
[ "M4064" ]
N. J. A. Sloane, Robert G. Wilson v
2024-10-08T06:26:30
oeisdata/seq/A006/A006255.seq
1857aa5d2debe5e062543a8f3b1e42e6
A006256
a(n) = Sum_{k=0..n} binomial(3k,k)*binomial(3n-3k,n-k).
[ "1", "6", "39", "258", "1719", "11496", "77052", "517194", "3475071", "23366598", "157206519", "1058119992", "7124428836", "47983020624", "323240752272", "2177956129818", "14677216121871", "98923498131762", "666819212874501", "4495342330033938", "30308036621747679", "204356509814519712" ]
[ "nonn", "easy", "nice" ]
106
0
2
[ "A005809", "A006256", "A036829" ]
[ "M4229" ]
N. J. A. Sloane, Don Knuth
2022-09-08T08:44:34
oeisdata/seq/A006/A006256.seq
abef985ccd239e293408474b779d104e
A006257
Josephus problem: a(2*n) = 2*a(n)-1, a(2*n+1) = 2*a(n)+1.
[ "0", "1", "1", "3", "1", "3", "5", "7", "1", "3", "5", "7", "9", "11", "13", "15", "1", "3", "5", "7", "9", "11", "13", "15", "17", "19", "21", "23", "25", "27", "29", "31", "1", "3", "5", "7", "9", "11", "13", "15", "17", "19", "21", "23", "25", "27", "29", "31", "33", "35", "37", "39", "41", "43", "45", "47", "49", "51", "53", "55", "57", "59", "61", "63", "1", "3", "5", "7", "9", "11", "13", "15", "17", "19", "21", "23", "25", "27", "29" ]
[ "nonn", "easy", "nice" ]
226
0
4
[ "A005428", "A006257", "A032434", "A035327", "A038572", "A049940", "A049964", "A053644", "A053645", "A054995", "A088147", "A088442", "A181281", "A360099" ]
[ "M2216" ]
N. J. A. Sloane
2025-02-16T08:32:29
oeisdata/seq/A006/A006257.seq
81ce9b5d075286d02c047821dee2ab7c
A006258
Numerators of approximations to e.
[ "1", "2", "3", "5", "8", "11", "19", "30", "49", "68", "87", "106", "193", "299", "492", "685", "878", "1071", "1264", "1457", "2721", "4178", "6899", "9620", "12341", "15062", "17783", "20504", "23225", "25946", "49171", "75117", "124288", "173459", "222630", "271801", "320972", "370143", "419314", "468485", "517656", "566827", "1084483", "1651310", "2735793" ]
[ "nonn", "easy" ]
16
1
2
[ "A001113", "A006258", "A006259", "A119014" ]
[ "M0686" ]
N. J. A. Sloane.
2021-11-15T02:47:05
oeisdata/seq/A006/A006258.seq
09ce5b638a4e07a135f2269dda4f1298
A006259
Denominators of approximations to e.
[ "1", "1", "1", "2", "3", "4", "7", "11", "18", "25", "32", "39", "71", "110", "181", "252", "323", "394", "465", "536", "1001", "1537", "2538", "3539", "4540", "5541", "6542", "7543", "8544", "9545", "18089", "27634", "45723", "63812", "81901", "99990", "118079", "136168", "154257", "172346", "190435", "208524", "398959", "607483" ]
[ "nonn", "frac" ]
18
1
4
[ "A001113", "A006258", "A006259", "A119015" ]
[ "M0584" ]
N. J. A. Sloane.
2021-11-15T02:47:26
oeisdata/seq/A006/A006259.seq
41ccb20920dc5fb4ae776e8af248f3c7
A006260
Second-order Eulerian numbers <<n,3>>.
[ "0", "24", "444", "4400", "32120", "195800", "1062500", "5326160", "25243904", "114876376", "507259276", "2189829808", "9292526920", "38917528600", "161343812980", "663661077072", "2713224461136", "11039636532120", "44751359547420", "180880752056880" ]
[ "nonn", "easy" ]
28
3
2
[ "A006260", "A008517", "A163936", "A201637" ]
[ "M5162" ]
N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v
2018-08-11T02:56:13
oeisdata/seq/A006/A006260.seq
9d3c7a3efad13fd0a4c851ec29f8af11
A006261
a(n) = Sum_{k=0..5} binomial(n,k).
[ "1", "2", "4", "8", "16", "32", "63", "120", "219", "382", "638", "1024", "1586", "2380", "3473", "4944", "6885", "9402", "12616", "16664", "21700", "27896", "35443", "44552", "55455", "68406", "83682", "101584", "122438", "146596", "174437", "206368", "242825", "284274", "331212", "384168", "443704", "510416", "584935", "667928", "760099", "862190" ]
[ "nonn", "easy" ]
107
0
2
[ "A000124", "A000125", "A000127", "A002522", "A005408", "A006261", "A007318", "A008859", "A008860", "A008861", "A008862", "A008863", "A016813", "A057703", "A058331", "A080856", "A086514", "A161701", "A161702", "A161703", "A161704", "A161706", "A161707", "A161708", "A161710", "A161711", "A161712", "A161713", "A161715", "A219531" ]
[ "M1126" ]
N. J. A. Sloane, based on a suggestion from S. C. Chan, Jun 10 1975
2024-05-20T10:30:26
oeisdata/seq/A006/A006261.seq
d6cf16fea979e7e4d5e6230ebe4d9d1c
A006262
Product k^(2^(k-2)), k = 2..n.
[ "1", "2", "18", "4608", "1800000000", "5077997833420800000000", "5608281336980602120684110607059901336780800000000" ]
[ "nonn", "easy" ]
11
1
2
null
[ "M2111" ]
N. J. A. Sloane.
2012-03-30T16:44:56
oeisdata/seq/A006/A006262.seq
52feec1649466533e67e160ad25958c2
A006263
Erroneous version of A014221.
[ "1", "2", "4", "65536" ]
[ "dead" ]
16
0
2
null
[ "M1310" ]
null
2015-02-26T04:42:40
oeisdata/seq/A006/A006263.seq
7b89ab1e519efc97a76394aa6f2c6792
A006264
Diagonal length function.
[ "0", "0", "1", "1", "4", "4", "4", "4", "5", "5", "5", "5", "5", "5", "5", "5", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "8", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "9", "10", "10", "10", "10", "10", "10", "10", "10", "10", "10" ]
[ "nonn" ]
7
0
5
null
[ "M3223" ]
N. J. A. Sloane.
2012-03-30T16:44:56
oeisdata/seq/A006/A006264.seq
94cd2729486a0ec8009ed4c64b67908b
A006265
Number of shapes of height-balanced AVL trees with n nodes.
[ "1", "1", "2", "1", "4", "6", "4", "17", "32", "44", "60", "70", "184", "476", "872", "1553", "2720", "4288", "6312", "9004", "16088", "36900", "82984", "174374", "346048", "653096", "1199384", "2160732", "3812464", "6617304", "11307920", "18978577", "31327104", "51931296", "90400704", "170054336", "341729616", "711634072", "1491256624" ]
[ "nonn" ]
55
1
3
[ "A006265", "A036662", "A134306", "A143897", "A217298" ]
[ "M0170" ]
N. J. A. Sloane
2019-06-11T04:45:07
oeisdata/seq/A006/A006265.seq
8d268ed8d5b86f074a90c63a6b494303
A006266
A continued cotangent.
[ "2", "14", "2786", "21624372014", "10111847525912679844192131854786", "1033930953043290626825587838528711318150300040875029341893199068078185510802565166824630504014" ]
[ "nonn", "easy" ]
32
0
1
[ "A002203", "A006266", "A006267", "A114525", "A145451", "A145452", "A271222", "A271224" ]
[ "M2073" ]
N. J. A. Sloane
2022-11-29T09:42:23
oeisdata/seq/A006/A006266.seq
8c5b6a54c7504034b03e356cfa32b088
A006267
Continued cotangent for the golden ratio.
[ "1", "4", "76", "439204", "84722519070079276", "608130213374088941214747405817720942127490792974404" ]
[ "nonn", "easy" ]
79
0
2
[ "A000032", "A000204", "A001622", "A001999", "A002666", "A002667", "A002668", "A002813", "A006266", "A006267", "A045529", "A268924", "A271223" ]
[ "M3699" ]
N. J. A. Sloane
2025-02-16T08:32:30
oeisdata/seq/A006/A006267.seq
e9cad1de1b8aee268d845532cd777b2b
A006268
A continued cotangent.
[ "3", "36", "46764", "102266868132036", "1069559300034650646049671039050649693658764" ]
[ "nonn", "easy" ]
22
0
1
[ "A002813", "A006266", "A006267", "A006268", "A006269", "A006273", "A145180", "A145181", "A145182", "A145183", "A145184", "A145185", "A145186", "A145187", "A145188", "A145189" ]
[ "M3141" ]
N. J. A. Sloane.
2022-01-20T10:29:44
oeisdata/seq/A006/A006268.seq
bbb6b2164caa71647d610dd1ea26e37a
A006269
A continued cotangent.
[ "5", "140", "2744420", "20670535451567121260", "8831921094058107711185956797335984862612406515067837739780" ]
[ "nonn" ]
16
0
1
null
[ "M4028" ]
N. J. A. Sloane.
2020-08-28T06:15:18
oeisdata/seq/A006/A006269.seq
f25e50dfa8c4099454065710a945d9a1
A006270
Denominators of a continued fraction for (1 + sqrt(5))/2.
[ "1", "3", "72", "439128", "84722519069640072", "608130213374088941214747405817720857404971722895128" ]
[ "nonn" ]
11
0
2
[ "A002814", "A006270" ]
[ "M3170" ]
N. J. A. Sloane.
2013-04-28T17:56:56
oeisdata/seq/A006/A006270.seq
d23568ef944e83855e0902fff0002aee
A006271
Numerators of a continued fraction for 1 + sqrt(2).
[ "2", "5", "197", "7761797", "467613464999866416197", "102249460387306384473056172738577521087843948916391508591105797" ]
[ "nonn", "easy" ]
28
0
1
[ "A002814", "A006266", "A006271", "A006272", "A006273", "A006275", "A006276" ]
[ "M1555" ]
N. J. A. Sloane.
2022-01-20T10:18:18
oeisdata/seq/A006/A006271.seq
5291ca1ebf07a291734b960d5bf6931e
A006272
Denominators of a continued fraction for 1 + sqrt(2).
[ "12", "2772", "21624369228", "10111847525912679844170507482772" ]
[ "nonn" ]
12
0
1
[ "A006271", "A006272" ]
[ "M4883" ]
N. J. A. Sloane.
2013-04-28T17:57:23
oeisdata/seq/A006/A006272.seq
2184aa5badfbb01f4e6f22299de4d22b
A006273
Numerators of a continued fraction for (3+sqrt(13))/2.
[ "3", "10", "1297", "2186871697", "10458512317535240383929505297" ]
[ "nonn", "frac" ]
23
0
1
[ "A002814", "A006268", "A006271", "A006273", "A006274", "A006275", "A006276", "A098316" ]
[ "M2879" ]
N. J. A. Sloane.
2022-01-20T10:18:27
oeisdata/seq/A006/A006273.seq
40b92cc59f53538eea58eb570a6d3d4a
A006274
First differences of A006268.
[ "33", "46728", "102266868085272", "1069559300034650646049671038948382825526728" ]
[ "nonn", "frac" ]
18
0
1
[ "A006268", "A006273", "A006274", "A098316" ]
[ "M5243" ]
N. J. A. Sloane.
2023-05-23T18:44:14
oeisdata/seq/A006/A006274.seq
faca728ffea28320ccd0a647a6ce160d
A006275
Pierce expansion of sqrt(2) - 1.
[ "2", "5", "7", "197", "199", "7761797", "7761799", "467613464999866416197", "467613464999866416199", "102249460387306384473056172738577521087843948916391508591105797" ]
[ "nonn", "easy" ]
57
0
1
[ "A006275", "A006276", "A014176" ]
[ "M1342" ]
N. J. A. Sloane
2025-02-16T08:32:30
oeisdata/seq/A006/A006275.seq
92b01b7a66ccc0c8a9495ce65dd1d737
A006276
Pierce expansion of (3 - sqrt(5))/2.
[ "2", "4", "17", "19", "5777", "5779", "192900153617", "192900153619", "7177905237579946589743592924684177", "7177905237579946589743592924684179", "369822356418414944143680173221426891716916679027557977938929258031490127514207143830378340325399155217" ]
[ "nonn", "easy" ]
46
0
1
[ "A006276", "A118242" ]
[ "M1298" ]
N. J. A. Sloane
2025-02-16T08:32:30
oeisdata/seq/A006/A006276.seq
e2ee7d123dc27a5097e1fe163dfc660d
A006277
a(n) = (a(n-1) + 1)*a(n-2).
[ "1", "1", "2", "3", "8", "27", "224", "6075", "1361024", "8268226875", "11253255215681024", "93044467205527772332546875", "1047053135870867396062743192203958743681024", "97422501162981936223682742789520433197690551802305989766350860546875" ]
[ "nonn" ]
58
0
3
[ "A001622", "A006277", "A242724", "A243967", "A243968" ]
[ "M0888" ]
N. J. A. Sloane, Jeffrey Shallit
2024-12-15T20:38:18
oeisdata/seq/A006/A006277.seq
8b59af404cdd3ce853cc7b267a7760b9
A006278
a(n) is the product of the first n primes congruent to 1 (mod 4).
[ "5", "65", "1105", "32045", "1185665", "48612265", "2576450045", "157163452745", "11472932050385", "1021090952484265", "99045822390973705", "10003628061488344205", "1090395458702229518345", "123214686833351935572985" ]
[ "nonn" ]
50
1
1
[ "A002110", "A002144", "A006278", "A038346", "A078586", "A185952" ]
null
GeneSalamin(AT)cohr.com
2025-02-16T08:32:30
oeisdata/seq/A006/A006278.seq
d904d2a467c37a97fe3ae66ce3e53ca0
A006279
Denominators of convergents to Cahen's constant: a(n+2) = a(n)^2*a(n+1) + a(n).
[ "1", "1", "2", "3", "14", "129", "25298", "420984147", "269425140741515486", "47749585090209528873482531562977121", "3466137915373323052799848584927709551269254572949111609037058632767202" ]
[ "nonn", "easy", "frac" ]
41
0
3
[ "A006279", "A006280", "A006281", "A118227" ]
[ "M0914" ]
N. J. A. Sloane.
2024-03-19T11:58:32
oeisdata/seq/A006/A006279.seq
1c09098c67ddf98f0722d8558f4d5495
A006280
Partial quotients in continued fraction expansion of Cahen's constant.
[ "0", "1", "1", "1", "4", "9", "196", "16641", "639988804", "177227652025317609", "72589906463585427805281295977816196", "2280022876287160141646375873338796324543839666085098409289740769448641" ]
[ "nonn", "easy" ]
35
0
5
[ "A006279", "A006280", "A006281", "A118227" ]
[ "M3372" ]
N. J. A. Sloane.
2025-02-21T13:07:19
oeisdata/seq/A006/A006280.seq
c51f889c95c117db9308b5959a40d561
A006281
Partial quotients in continued fraction expansion of 2C-1, where C is Cahen's constant.
[ "0", "3", "2", "18", "98", "33282", "319994402", "354455304050635218", "36294953231792713902640647988908098" ]
[ "nonn", "easy" ]
22
0
2
[ "A006279", "A006280", "A006281", "A118227" ]
[ "M2260" ]
N. J. A. Sloane.
2024-03-19T03:20:09
oeisdata/seq/A006/A006281.seq
6aaa8a228e730b8d83e7afd89fd8d8d2
A006282
Sorting numbers: number of comparisons in Batcher's parallel sort.
[ "0", "1", "3", "5", "9", "12", "16", "19", "26", "31", "37", "41", "48", "53", "59", "63", "74", "82", "91", "97", "107", "114", "122", "127", "138", "146", "155", "161", "171", "178", "186", "191", "207", "219", "232", "241", "255", "265", "276", "283", "298", "309", "321", "329", "342", "351", "361", "367", "383", "395", "408", "417", "431", "441", "452", "459", "474" ]
[ "nonn", "easy", "nice", "changed" ]
34
1
3
[ "A003075", "A006282", "A083742" ]
[ "M2447" ]
N. J. A. Sloane
2025-04-16T03:02:19
oeisdata/seq/A006/A006282.seq
3aa72e1f23b5c4c70a05311e742d0678
A006283
Pierce expansion for 1 / Pi.
[ "3", "22", "118", "383", "571", "635", "70529", "375687", "399380", "575584", "699357", "1561065", "1795712", "194445473", "253745996", "3199003690", "3727084011", "6607433185", "16248462801", "172940584814", "313728984965", "796022309187", "5348508258636", "5962546521072", "97497255361780", "121347007731845" ]
[ "nonn" ]
44
0
1
[ "A006283", "A154956" ]
[ "M3092" ]
Jeffrey Shallit
2025-02-16T08:32:30
oeisdata/seq/A006/A006283.seq
93013e5c65c7c2f7934eb6171ba12e4e
A006284
Pierce expansion for Euler's constant.
[ "1", "2", "6", "13", "21", "24", "225", "615", "17450", "23228", "57774", "221361", "522377", "793040", "1706305", "8664354", "19037086", "51965160", "56870701", "124645388", "784244500", "792809072", "3675221276", "42108268014", "53633289500", "56827261536", "67080647365" ]
[ "nonn" ]
32
0
2
[ "A006275", "A006276", "A006283", "A006284" ]
[ "M1593" ]
N. J. A. Sloane, Jeffrey Shallit
2025-02-16T08:32:30
oeisdata/seq/A006/A006284.seq
e1bc28a00e7b71782e29196d0923a878
A006285
Odd numbers not of form p + 2^k (de Polignac numbers).
[ "1", "127", "149", "251", "331", "337", "373", "509", "599", "701", "757", "809", "877", "905", "907", "959", "977", "997", "1019", "1087", "1199", "1207", "1211", "1243", "1259", "1271", "1477", "1529", "1541", "1549", "1589", "1597", "1619", "1649", "1657", "1719", "1759", "1777", "1783", "1807", "1829", "1859", "1867", "1927", "1969", "1973", "1985", "2171", "2203", "2213", "2231", "2263", "2279", "2293", "2377", "2429", "2465", "2503", "2579", "2669" ]
[ "nonn", "nice", "easy" ]
138
1
2
[ "A006285", "A058517", "A065381", "A098237", "A109925", "A118954", "A133122", "A156695", "A232460", "A254248", "A276417", "A350957", "A350959", "A350960" ]
[ "M5390" ]
N. J. A. Sloane
2024-10-14T02:55:27
oeisdata/seq/A006/A006285.seq
074671a9f3249f314630de176e892816
A006286
Numbers not of form p + 2^x + 2^y.
[ "1", "2", "3", "128", "150", "252", "332", "338", "374", "510", "600", "702", "758", "810", "878", "906", "908", "960", "978", "998", "1020", "1088", "1200", "1208", "1212", "1244", "1260", "1272", "1478", "1530", "1542", "1550", "1590", "1598", "1620", "1650", "1658", "1720", "1760", "1778", "1784", "1808", "1830", "1860", "1868" ]
[ "nonn" ]
30
1
2
[ "A006285", "A006286", "A156695" ]
[ "M0925" ]
N. J. A. Sloane.
2024-07-28T00:08:46
oeisdata/seq/A006/A006286.seq
a0c2352f099ab9df43ade987729e8a4a
A006287
Sum of squares of digits of ternary representation of n.
[ "0", "1", "4", "1", "2", "5", "4", "5", "8", "1", "2", "5", "2", "3", "6", "5", "6", "9", "4", "5", "8", "5", "6", "9", "8", "9", "12", "1", "2", "5", "2", "3", "6", "5", "6", "9", "2", "3", "6", "3", "4", "7", "6", "7", "10", "5", "6", "9", "6", "7", "10", "9", "10", "13", "4", "5", "8", "5", "6", "9", "8", "9", "12", "5", "6", "9", "6", "7" ]
[ "nonn", "base" ]
23
0
3
[ "A006287", "A053735" ]
[ "M3194" ]
N. J. A. Sloane.
2017-07-09T10:14:31
oeisdata/seq/A006/A006287.seq
3b9d68c150c9a264a8bf0ae3e672039b
A006288
Loxton-van der Poorten sequence: base-4 representation contains only -1, 0, +1.
[ "0", "1", "3", "4", "5", "11", "12", "13", "15", "16", "17", "19", "20", "21", "43", "44", "45", "47", "48", "49", "51", "52", "53", "59", "60", "61", "63", "64", "65", "67", "68", "69", "75", "76", "77", "79", "80", "81", "83", "84", "85", "171", "172", "173", "175", "176", "177", "179", "180", "181", "187", "188", "189", "191", "192", "193", "195", "196", "197", "203", "204", "205", "207", "208", "209" ]
[ "nonn" ]
34
0
3
[ "A006288", "A023713", "A023717", "A344892", "A344893" ]
[ "M2312" ]
N. J. A. Sloane
2021-06-08T02:29:58
oeisdata/seq/A006/A006288.seq
50c112fe043ea37c5ac34f2d38892c7f
A006289
Number of series-reduced 2-connected graphs with n nodes.
[ "1", "3", "19", "149", "2581", "84151", "5201856", "577050233", "113372069299", "39618015318982", "24916462761069296", "28563626972509456884", "60366734349116636660402", "237406975840304068884168139", "1750330441810569047176394509086" ]
[ "nonn", "nice" ]
24
4
2
[ "A006289", "A006290", "A339068", "A339069" ]
[ "M3058" ]
N. J. A. Sloane
2020-11-25T08:01:25
oeisdata/seq/A006/A006289.seq
3478f9cc50d7236a767bc73fc1305b33
A006290
Number of 3-connected graphs with n nodes.
[ "1", "3", "17", "136", "2388", "80890", "5114079", "573273505", "113095167034", "39582550575765", "24908445793058442", "28560405143495819079", "60364410130177223014724", "237403933018799958309530349", "1750323137355778190158082029500", "24333358813699371350715221107464003", "640811613278752754485012443963579501421" ]
[ "nonn", "nice" ]
46
4
2
[ "A000088", "A001349", "A002218", "A006289", "A006290", "A007112", "A338511", "A339072" ]
[ "M3039" ]
N. J. A. Sloane
2025-02-16T08:32:30
oeisdata/seq/A006/A006290.seq
bfa25eacb73a978b69b9e8248ed0f8bb
A006291
Pseudo-bricks with n nodes.
[ "1", "7", "88", "1731", "55094", "2806539" ]
[ "nonn", "more" ]
14
4
2
[ "A006291", "A006292", "A006293" ]
[ "M4450" ]
N. J. A. Sloane.
2018-12-02T04:08:02
oeisdata/seq/A006/A006291.seq
7c54f42e766911c70d43eafbcb8b901e
A006292
Pseudo-bricks with n nodes.
[ "1", "3", "24", "159", "2044", "36181" ]
[ "nonn", "more" ]
14
4
2
[ "A006291", "A006292", "A006293" ]
[ "M3105" ]
N. J. A. Sloane.
2018-12-02T04:08:07
oeisdata/seq/A006/A006292.seq
2d25915ea3284658331fc488bf78462c
A006293
Pseudo-bricks with n nodes.
[ "1", "5", "56", "945", "28569", "1421360" ]
[ "nonn", "more" ]
14
4
2
[ "A006291", "A006292", "A006293" ]
[ "M4015" ]
N. J. A. Sloane.
2018-12-02T04:08:11
oeisdata/seq/A006/A006293.seq
52d82def04905d0fb344769434c487b6
A006294
Number of rooted planar maps with n edges.
[ "1", "1", "5", "22", "164", "1030", "8885", "65954", "614404", "5030004", "49145460", "429166584", "4331674512", "39599553708", "409230997461", "3871362876810", "40730958917220", "395684757649324", "4222043580320852", "41894315105061848", "452123832420881296" ]
[ "nonn" ]
24
0
3
[ "A006294", "A269920" ]
[ "M3922" ]
N. J. A. Sloane.
2021-05-09T08:19:48
oeisdata/seq/A006/A006294.seq
9d121a3eb09ce770efd70ceec67a4f73
A006295
Number of genus 1 rooted maps with 2 faces with n vertices.
[ "10", "167", "1720", "14065", "100156", "649950", "3944928", "22764165", "126264820", "678405090", "3550829360", "18182708362", "91392185080", "452077562620", "2205359390592", "10627956019245", "50668344988068", "239250231713210", "1120028580999440", "5202779260636958", "23998704563581000", "109991785264412452" ]
[ "nonn" ]
37
3
1
[ "A002802", "A006295", "A006296", "A269921", "A270406", "A287046", "A287047", "A287048", "A288071", "A288072", "A288073", "A288074" ]
[ "M4739" ]
N. J. A. Sloane
2025-01-18T09:08:05
oeisdata/seq/A006/A006295.seq
1f4e296c5c9e5cab8ec70bc09e3abede
A006296
Number of genus 1 rooted maps with 3 faces with n vertices.
[ "70", "1720", "24164", "256116", "2278660", "17970784", "129726760", "875029804", "5593305476", "34225196720", "201976335288", "1156128848680", "6447533938280", "35155923872640", "187959014565840", "987658610225052", "5110652802256260", "26084524995672080", "131501187454625560", "655590388845975000", "3235463376771463288", "15820770680078552000", "76708503479715247920", "369046200766330733880", "1762793459781859039080", "8364468224596427692896", "39445646133672676352560", "184956513528952419546448", "862615498961026097997392", "4003067488703222112053760", "18489846573354278755829152", "85028133934182275077421180", "389398354121840111751946628", "1776360539933013004774353872", "8073622060225813990245976280", "36567311475673299914222851832" ]
[ "nonn" ]
30
4
1
[ "A002802", "A006295", "A006296", "A269921", "A270407", "A287046", "A287047", "A287048", "A288071", "A288072", "A288073", "A288074" ]
[ "M5341" ]
N. J. A. Sloane.
2017-12-14T21:20:54
oeisdata/seq/A006/A006296.seq
17048f319a9ae8eb597c2cc52bcaef76
A006297
Number of rooted genus-1 maps with n edges.
[ "1", "10", "167", "1720", "24164", "256116", "3392843", "36703824", "472592916", "5188948072", "65723863196", "729734918432", "9145847808784", "102432266545800", "1274461449989715", "14373136466094880", "177882700353757460", "2017523504473479992", "24868664942648145372" ]
[ "nonn" ]
20
2
2
[ "A006297", "A269921" ]
[ "M4740" ]
N. J. A. Sloane.
2017-12-14T21:20:43
oeisdata/seq/A006/A006297.seq
cf44f8d8d086b9c63111403f0df2f61d
A006298
Number of genus 2 rooted maps with 1 face with n vertices.
[ "21", "483", "6468", "66066", "570570", "4390386", "31039008", "205633428", "1293938646", "7808250450", "45510945480", "257611421340", "1422156202740", "7683009544980", "40729207226400", "212347275857640", "1090848505817070", "5530195966465170", "27704671055301240", "137308238124957900", "673903972248687180" ]
[ "nonn", "easy" ]
75
4
1
[ "A000108", "A002802", "A006298", "A035309" ]
[ "M5117" ]
N. J. A. Sloane
2024-03-08T15:37:44
oeisdata/seq/A006/A006298.seq
c049f34260b731518850427e6b4ca00d
A006299
Number of rooted genus-2 maps with n edges.
[ "21", "483", "15018", "258972", "5554188", "85421118", "1558792200", "22555934280", "375708427812", "5235847653036", "82234427131416", "1117259292848016", "16842445235560944", "224686278407291148", "3286157560248860532", "43241609165618454096", "617910462111714896820" ]
[ "nonn" ]
16
4
1
[ "A006299", "A269922" ]
[ "M5118" ]
N. J. A. Sloane.
2017-02-27T13:01:33
oeisdata/seq/A006/A006299.seq
4fc9c73cf9a0f70dc45d38e598d0c84e
A006300
Number of rooted maps with n edges on torus.
[ "1", "20", "307", "4280", "56914", "736568", "9370183", "117822512", "1469283166", "18210135416", "224636864830", "2760899996816", "33833099832484", "413610917006000", "5046403030066927", "61468359153954656", "747672504476150374", "9083423595292949240", "110239596847544663002", "1336700736225591436496", "16195256987701502444284" ]
[ "nonn", "nice" ]
55
2
2
[ "A000168", "A006300", "A006301", "A006386", "A007137", "A104742", "A215402", "A238355", "A238356", "A238357", "A238358", "A238359", "A238360", "A238396" ]
[ "M5097" ]
N. J. A. Sloane
2024-08-23T03:16:29
oeisdata/seq/A006/A006300.seq
0e1543cb06fa426b385e45d6adadcb4d