Datasets:
christopher
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oeis

Dataset card Data Studio Files
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Community
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1999-12-11 03:00:00
2025-04-28 00:58:08
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A007101
Number of labeled trivalent (or cubic) cyclically 4-connected graphs with 2n nodes.
[ "1", "10", "3360", "1753920", "1812888000", "3158396841600", "8496995611104000", "33199738565849856000", "180116271096528678912000", "1310903590075375049994240000", "12454930569778045924343408640000" ]
[ "nonn" ]
11
2
2
null
[ "M4761" ]
N. J. A. Sloane.
2012-03-30T16:45:07
oeisdata/seq/A007/A007101.seq
40e7634584dc1887558853186933c001
A007102
Number of labeled disconnected trivalent (or cubic) graphs with 2n nodes.
[ "1", "0", "0", "0", "35", "14700", "11832975", "15245900670", "29683109280825", "84114515340655800", "335974271076054435825", "1839316574841276904122750", "13461678841737111645720135075", "128798406388658994689642297857500" ]
[ "nonn" ]
16
0
5
null
[ "M5251" ]
N. J. A. Sloane
2017-10-13T05:29:14
oeisdata/seq/A007/A007102.seq
b8f6c1ff36dc759e18983ee1681f0b7c
A007103
Erroneous version of A006903.
[ "0", "0", "0", "10", "3360", "1829520", "2008360200", "3613037828400", "9777509703561600", "37906993895091921600", "202913582976042261523200" ]
[ "dead" ]
6
0
4
null
[ "M4762" ]
null
2010-06-01T03:00:00
oeisdata/seq/A007/A007103.seq
76dea03b5a455c774d4fa53d6cbab1fa
A007104
Number of elements (a b, c d) in GL(2,Z) with det = -1, trace n and 0 <= a <= {b, c} <= d.
[ "1", "1", "1", "2", "1", "4", "1", "4", "4", "4", "2", "10", "1", "5", "7", "12", "1", "10", "4", "10", "12", "4", "6", "24", "4", "12", "7", "10", "5", "26", "6", "20", "13", "12", "7", "30", "11", "4", "15", "32", "6", "26", "6", "28", "23", "12", "7", "52", "12", "10", "28", "10", "6", "40", "14", "44", "17", "24", "12", "56", "19", "12", "20", "36", "27", "44", "11", "28", "16" ]
[ "nonn" ]
8
1
4
[ "A006546", "A007104", "A007203" ]
null
John Lewis (frc.mass.edu)
2020-01-01T16:57:42
oeisdata/seq/A007/A007104.seq
a535c0eec747d437df6109432eb1227c
A007105
Number of labeled Eulerian 3-regular digraphs with n nodes.
[ "1", "0", "0", "0", "1", "44", "7570", "1975560", "749649145", "399035751464", "289021136349036", "277435664056527360", "345023964977303838105", "545099236551025860229460", "1075595203804151695555622446" ]
[ "nonn" ]
25
0
6
[ "A001500", "A007105", "A284990" ]
[ "M5285" ]
N. J. A. Sloane.
2024-04-25T13:42:51
oeisdata/seq/A007/A007105.seq
6a0db1b2522ec046f6ab0541b736b09d
A007106
Number of labeled odd degree trees with 2n nodes.
[ "1", "4", "96", "5888", "686080", "130179072", "36590059520", "14290429935616", "7405376630685696", "4917457306800619520", "4071967909087792857088", "4113850542422629363482624", "4980673081258443273955966976", "7119048451600750435732824260608", "11861520124846917915630931846103040" ]
[ "nonn" ]
93
1
2
[ "A007106", "A036778", "A058014", "A060279", "A143601", "A156289" ]
[ "M3704" ]
N. J. A. Sloane
2022-08-22T04:49:41
oeisdata/seq/A007/A007106.seq
1e036d3c24592bff66ef918ccecd9dd5
A007107
Number of labeled 2-regular digraphs with n nodes.
[ "1", "0", "0", "1", "9", "216", "7570", "357435", "22040361", "1721632024", "166261966956", "19459238879565", "2714812050902545", "445202898702992496", "84798391618743138414", "18567039007438379656471", "4631381194792101913679985", "1305719477625154539392776080", "413153055417968797025496881656" ]
[ "nonn", "nice" ]
58
0
5
[ "A001499", "A007107", "A007108", "A197458", "A219889", "A284989" ]
[ "M4668" ]
N. J. A. Sloane
2023-07-04T08:12:38
oeisdata/seq/A007/A007107.seq
a9b8f43022bed669778021d218dc3705
A007108
Number of connected labeled 2-regular digraphs with n nodes.
[ "0", "0", "0", "1", "9", "216", "7560", "357120", "22025430", "1720751760", "166198926600", "19453788144000", "2714247736061400", "445133524289731200", "84788348720139464400", "18565341317290193025600", "4631048864538293219022000", "1305644758257711732981120000", "413133912085072442199311376000" ]
[ "nonn", "nice" ]
23
0
5
[ "A007107", "A007108" ]
[ "M4667" ]
N. J. A. Sloane
2021-12-19T04:28:34
oeisdata/seq/A007/A007108.seq
7c38f41d207d376afd8c79d4823458ac
A007109
Number of labeled 2-regular oriented graphs with n nodes.
[ "1", "0", "0", "0", "0", "24", "570", "27900", "1827630", "152031600", "15453884376", "1884221030160", "271711899360000", "45788222207669040", "8922353083744943700", "1991728039234615305624", "505133808398958249480060" ]
[ "nonn" ]
9
0
6
null
[ "M5164" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007109.seq
0b9192e0791020b34ab5008e9ea8c574
A007110
Number of connected labeled 2-regular oriented graphs with n nodes.
[ "0", "0", "0", "0", "0", "24", "570", "27900", "1827630", "152031600", "15453811800", "1884214710000", "271711218933000", "45788138466285600", "8922341314806519600", "1991726163596104135200", "505133470313552174094000" ]
[ "nonn", "nice" ]
11
0
6
null
[ "M5163" ]
N. J. A. Sloane
2021-12-19T00:11:55
oeisdata/seq/A007/A007110.seq
9befd03b6675e1a18aa5ecf1e5bb612b
A007111
Number of unlabeled graphs with n nodes and degree >= 3.
[ "0", "0", "0", "0", "1", "3", "19", "150", "2590", "84245", "5203135", "577076735", "113373008891", "39618075369549", "24916469695937480", "28563628406766988588", "60366734880395211775791", "237406976195471782149927759", "1750330442243458287054664072364" ]
[ "nonn" ]
13
0
6
[ "A007111", "A007112" ]
[ "M3060" ]
N. J. A. Sloane.
2019-05-21T10:48:14
oeisdata/seq/A007/A007111.seq
dc2732de91945b114766a04800a30371
A007112
Number of connected unlabeled graphs with n nodes and degree >= 3.
[ "0", "0", "0", "1", "3", "19", "150", "2589", "84242", "5203110", "577076528", "113373005661", "39618075274687", "24916469690421103", "28563628406172313565", "60366734880279992689057", "237406976195431811992516687" ]
[ "nonn", "nice" ]
24
1
5
[ "A007112", "A123545" ]
[ "M3059" ]
N. J. A. Sloane
2025-03-11T12:31:30
oeisdata/seq/A007/A007112.seq
4d0d1fc34d9fad10ed5f3838d24e3f23
A007113
Expansion of e.g.f. (1 + x)^x.
[ "1", "0", "2", "-3", "20", "-90", "594", "-4200", "34544", "-316008", "3207240", "-35699400", "432690312", "-5672581200", "79991160144", "-1207367605080", "19423062612480", "-331770360922560", "5997105160795584", "-114373526841360000", "2295170834453089920", "-48344592370577247360" ]
[ "sign" ]
37
0
3
[ "A007113", "A053489", "A053490", "A066166" ]
[ "M0919" ]
Simon Plouffe
2019-06-06T09:27:38
oeisdata/seq/A007/A007113.seq
f6a45ebe96e20cf48ac7ce791666ad82
A007114
Expansion of e.g.f. (1 - x)^x.
[ "1", "0", "-2", "-3", "4", "30", "66", "0", "-496", "-1512", "1800", "51480", "487752", "4633200", "50605296", "620703720", "8278947840", "118504008000", "1811156124096", "29452505385600", "507926275873920", "9260774050469760", "178004846331607680", "3597786477984061440", "76284908749415574144", "1693206585883612800000", "39264054809925638534400" ]
[ "sign" ]
41
0
3
null
[ "M0601" ]
Simon Plouffe
2022-09-08T08:44:35
oeisdata/seq/A007/A007114.seq
305e783724f95714a9fd4a446cac15da
A007115
Expansion of e.g.f. (1 - x - x^2)^x.
[ "1", "0", "-2", "-9", "-20", "-30", "66", "0", "-7216", "-155736", "-2447640", "-40095000", "-696155448", "-13193809200", "-269899395024", "-5951688692040", "-140573490904320", "-3543930826470720", "-94977073790051904", "-2697112556290627200" ]
[ "sign" ]
29
0
3
null
[ "M1917" ]
Simon Plouffe
2017-04-01T11:56:53
oeisdata/seq/A007/A007115.seq
ebbc788e53c8b775b31a78aca31d0e47
A007116
Expansion of e.g.f. (1+x)^(exp(x)).
[ "1", "1", "2", "6", "18", "75", "295", "1575", "7196", "48993", "230413", "2164767", "8055938", "139431149", "70125991", "14201296057", "-77573062280", "2389977322593", "-28817693086263", "615493949444827", "-10403976760589602", "215611836994976237" ]
[ "sign", "easy" ]
38
0
3
[ "A002741", "A007116", "A009198", "A191365" ]
[ "M1634" ]
Simon Plouffe
2022-05-27T10:14:07
oeisdata/seq/A007/A007116.seq
9141903ebc4d00057a5bb86baf23b7bd
A007117
a(0) = a(1) = 0; for n >= 2, a(n)*2^(n+2) + 1 is the smallest prime factor of the n-th Fermat number F(n) = 2^(2^n) + 1.
[ "0", "0", "1", "8", "1024", "5", "1071", "116503103764643", "1209889024954", "1184", "11131", "39", "7", "82731770", "1784180997819127957596374417642156545110881094717", "9264", "3150", "59251857", "13", "33629" ]
[ "hard", "nonn" ]
34
0
4
[ "A007117", "A093179" ]
[ "M4586" ]
N. J. A. Sloane, Robert G. Wilson v
2021-03-02T09:22:15
oeisdata/seq/A007/A007117.seq
c4329036a26637b6e20f9a714a416de1
A007118
Expansion of e.g.f. (1+x)^sin(x).
[ "1", "0", "2", "-3", "16", "-80", "440", "-3171", "24680", "-218952", "2170018", "-23566675", "279907076", "-3603250716", "49968204078", "-742893013695", "11785962447792", "-198748512229968", "3550002639307890", "-66954457199954115", "1329661510693923636" ]
[ "sign", "easy" ]
27
0
3
null
[ "M0916" ]
Simon Plouffe
2018-01-27T06:28:28
oeisdata/seq/A007/A007118.seq
575ebcba602ab7e35c39b3419a64e556
A007119
Expansion of (1-x)^sin(x).
[ "1", "0", "-2", "-3", "8", "40", "-20", "-651", "-1160", "10872", "53102", "-213235", "-2765684", "-4784988", "42740178", "-433914495", "-15184673712", "-207885336400", "-2790244125426", "-48660847539651", "-950341379177012", "-18783035394110820" ]
[ "sign", "easy" ]
14
0
3
null
[ "M0892" ]
Simon Plouffe
2012-03-30T18:36:10
oeisdata/seq/A007/A007119.seq
07da14fc009a05692537893b4bd74a42
A007120
Expansion of e.g.f. (1+x)^(1-x).
[ "1", "1", "-2", "-3", "16", "-10", "-114", "462", "-496", "-2952", "16920", "-31680", "-130008", "1707576", "-14259504", "138375720", "-1652311680", "22238105280", "-321916019904", "4959460972224", "-81123831838080", "1405677742882560", "-25732182778727040", "496324987642915200", "-10061966722201900416" ]
[ "sign" ]
27
0
3
[ "A005727", "A007120" ]
[ "M0915" ]
Simon Plouffe
2021-09-13T09:05:28
oeisdata/seq/A007/A007120.seq
2a445717008a182a93da1383b1c9bd72
A007121
Expansion of e.g.f. ( (1+x)^x )^x.
[ "1", "0", "0", "6", "-12", "40", "180", "-1512", "11760", "-38880", "20160", "2106720", "-22381920", "173197440", "-703999296", "-1737489600", "86030380800", "-1149696737280", "11455162974720", "-89560399541760", "636617260339200", "-6318191386644480", "139398889956480000", "-3797936822885990400" ]
[ "sign" ]
38
0
4
[ "A007121", "A240989" ]
[ "M4099" ]
Simon Plouffe
2022-07-09T11:04:48
oeisdata/seq/A007/A007121.seq
40695f6e93bb7fac7d3754920d9e658d
A007122
Number of unlabeled identity connected unit interval graphs with n nodes.
[ "0", "0", "0", "0", "0", "2", "4", "15", "36", "108", "276", "770", "2036", "5586", "15072", "41370", "113184", "312488", "863824", "2401344", "6692368", "18724990", "52531788", "147824963", "417006316", "1179285900", "3342274092", "9492427854", "27011049612", "76999988534" ]
[ "nonn", "nice" ]
14
1
6
[ "A005219", "A007122" ]
[ "M1288" ]
N. J. A. Sloane
2021-12-19T00:11:33
oeisdata/seq/A007/A007122.seq
a788af7a95e49f9ef68219cb27030674
A007123
Number of connected unit interval graphs with n nodes; also number of bracelets (turnover necklaces) with n black beads and n-1 white beads.
[ "1", "1", "2", "4", "10", "26", "76", "232", "750", "2494", "8524", "29624", "104468", "372308", "1338936", "4850640", "17685270", "64834550", "238843660", "883677784", "3282152588", "12233309868", "45741634536", "171530482864", "644953425740", "2430975800876", "9183681736376", "34766785487152", "131873995933480" ]
[ "nonn", "nice" ]
109
1
3
[ "A000108", "A001405", "A002420", "A006079", "A007123", "A007595", "A052307", "A063886", "A073201" ]
[ "M1218" ]
N. J. A. Sloane
2024-07-17T10:43:04
oeisdata/seq/A007/A007123.seq
9845bef180c1c6784fe63258a8f39e6a
A007124
Number of strength 1 Eulerian graphs with n nodes, 2 of odd degree.
[ "0", "1", "2", "5", "16", "62", "344", "2888", "42160", "1130244", "57349936", "5479605296", "979383162528", "326346868386848", "202753892253143616", "235314078797344415360", "511563560865769179773568", "2089489084248273187063929888" ]
[ "nonn" ]
9
1
3
null
[ "M1494" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007124.seq
767c3dbc2d7bd9de18e03bdd8ad05cd0
A007125
Number of connected strength-1 Eulerian graphs with n nodes, 2 of odd degree.
[ "0", "1", "1", "3", "10", "44", "274", "2518", "39159", "1087472", "56214536", "5422178367", "973901229150", "325367339922914", "202427527012666564", "235111320292288931449", "511328244516581761886211", "2088977518516761768744519266" ]
[ "nonn" ]
9
1
4
null
[ "M2865" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007125.seq
b949463bb249b7ed08a368d1c55c5c7c
A007126
Number of connected rooted strength 1 Eulerian graphs with n nodes.
[ "1", "0", "1", "1", "6", "18", "111", "839", "11076", "260327", "11698115", "1005829079", "163985322983", "50324128516939", "29000032348355991", "31395491269119883535", "63967623226983806252862", "245868096558697545918087280" ]
[ "nonn" ]
21
1
5
[ "A000088", "A002854", "A007126", "A158007" ]
[ "M4126" ]
N. J. A. Sloane.
2024-07-04T20:00:48
oeisdata/seq/A007/A007126.seq
89323414abc2924b453ae9aed41863d9
A007127
Definition (1): Number of unlabeled strength-2 Eulerian graphs with n nodes.
[ "1", "2", "5", "18", "100", "1242", "43425", "4925635", "1678993887", "1613875721946", "4293014800909806", "31574944534364259507", "644483327087699659771857", "36676558984788056550610362834", "5846161177591490590945591554686844", "2621219060849255874034814155021919844156" ]
[ "nonn", "nice" ]
25
1
2
[ "A002854", "A004102", "A007127", "A084565" ]
[ "M1517" ]
N. J. A. Sloane
2021-03-02T04:53:00
oeisdata/seq/A007/A007127.seq
0b26b0d862c69d6c0d105002d579c9e6
A007128
Number of unlabeled strength 3 Eulerian graphs with n nodes.
[ "1", "2", "8", "50", "872", "55056", "14330784", "14168055824", "51063045165248", "667216816957658368", "31770676467810344050944", "5550693121829253260986015232", "3581419675678994222257101230830592", "8583524017313906693161883558288460677120" ]
[ "nonn" ]
9
1
2
null
[ "M1884" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007128.seq
1bb92d527a8d1141f305e6596bd83355
A007129
Number of unlabeled strength 3 Eulerian graphs with n nodes, 2 of odd degree.
[ "0", "2", "12", "176", "6416", "745920", "293075904", "394099077120", "1835009281314048", "30009926711011488256", "1747146367164504269618176", "366331755173237226238282129408", "279347803170668467265962662338908160" ]
[ "nonn" ]
8
1
2
null
[ "M2045" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007129.seq
e884dce6e98ae10c689e2905d0cee4e3
A007130
Number of unlabeled rooted strength 3 Eulerian graphs with n nodes.
[ "1", "1", "6", "41", "816", "54121", "14274660", "14153665099", "51048862475458", "667165739670566962", "31770009199858957846460", "5550661350485312810140308676", "3581414124954098378653083208146076" ]
[ "nonn" ]
9
1
3
null
[ "M4242" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007130.seq
0abdd02dc907adbd07a64fd3fcd420e1
A007131
Number of unlabeled connected strength 3 Eulerian graphs with n nodes.
[ "0", "2", "10", "162", "6218", "739198", "292320730", "393805101318", "1834614855993394", "30008091277676005830", "1747116355298560745383906", "366330007995516101568779931526", "279347436837102450848968821962591698" ]
[ "nonn", "nice" ]
11
1
2
null
[ "M1990" ]
N. J. A. Sloane
2021-12-19T00:11:25
oeisdata/seq/A007/A007131.seq
9223fe624ae61d078eb1752513068dfd
A007132
Number of unlabeled connected strength 3 Eulerian graphs with n nodes, 2 of odd degree.
[ "1", "2", "12", "120", "3400", "306016", "98563520", "112894101120", "459097587148864", "6670310734264082432", "349450667631321436169216", "66606918180477057534935269376", "46558189270683049288752313344776192" ]
[ "nonn" ]
11
1
2
[ "A007125", "A007131", "A007132", "A007133" ]
[ "M2041" ]
N. J. A. Sloane.
2013-05-10T12:43:50
oeisdata/seq/A007/A007132.seq
a4a9f62dbbac15f5bbdffeddfc907e97
A007133
Number of unlabeled rooted connected strength 3 Eulerian graphs with n nodes.
[ "1", "1", "9", "101", "3223", "301597", "98198291", "112780875113", "458970424333059", "6669800460126763729", "349443329644003900650627", "66606536952459989434239085385", "46558117112722258272139140469354603" ]
[ "nonn" ]
9
1
3
null
[ "M4659" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007133.seq
f9813e55f0465237e57175e9442b4600
A007134
Number of connected labeled chordal graphs (or triangulated graphs) with n nodes.
[ "1", "1", "4", "35", "541", "13302", "489287", "25864897", "1910753782", "193328835393", "26404671468121", "4818917841228328", "1167442027829857677", "374059462390709800421", "158311620026439080777076" ]
[ "nonn", "nice" ]
17
1
3
[ "A007134", "A058862" ]
[ "M3659" ]
N. J. A. Sloane
2021-12-19T00:11:17
oeisdata/seq/A007/A007134.seq
ed638e1d119fe7b6b9d575c61cb127c5
A007135
Number of symmetry sites in all planted 1,3-trees with 2n nodes.
[ "0", "1", "1", "4", "6", "15", "30", "74", "160", "379", "867", "2057", "4817", "11465", "27214", "65102", "155753", "374208", "900073", "2170500", "5240723", "12676162", "30697119", "74435204", "180679171" ]
[ "nonn" ]
13
1
4
null
[ "M3283" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007135.seq
ba8bcdde792379ed8e8e26bc02136c6b
A007136
Number of symmetry sites in all planted 3-trees with n nodes.
[ "0", "0", "0", "1", "1", "3", "5", "14", "27", "65", "142", "338", "773", "1832", "4296", "10231", "24296", "58128", "139132", "334350", "804441", "1940239", "4685806", "11335797", "27455949", "66585170", "161646826" ]
[ "nonn" ]
12
1
6
null
[ "M2493" ]
N. J. A. Sloane.
2012-03-30T16:45:08
oeisdata/seq/A007/A007136.seq
c111d234eea9b0495143e766f906891d
A007137
Number of rooted maps with n edges on the projective plane.
[ "1", "10", "98", "982", "10062", "105024", "1112757", "11934910", "129307100", "1412855500", "15548498902", "172168201088", "1916619748084", "21436209373224", "240741065193282", "2713584138389838", "30687358107371442", "348061628432108352" ]
[ "nonn", "nice" ]
56
1
2
[ "A006300", "A007137", "A267180" ]
[ "M4734" ]
N. J. A. Sloane
2018-12-26T08:43:28
oeisdata/seq/A007/A007137.seq
f86f80c57b0db43ed8876250fe0e9947
A007138
Smallest primitive factor of 10^n - 1. Also smallest prime p such that 1/p has repeating decimal expansion of period n.
[ "3", "11", "37", "101", "41", "7", "239", "73", "333667", "9091", "21649", "9901", "53", "909091", "31", "17", "2071723", "19", "1111111111111111111", "3541", "43", "23", "11111111111111111111111", "99990001", "21401", "859", "757", "29", "3191", "211", "2791", "353", "67", "103", "71", "999999000001", "2028119", "909090909090909091" ]
[ "nonn", "base", "changed" ]
97
1
1
[ "A001913", "A007138", "A046107", "A112092", "A112927", "A143663", "A143665", "A252170", "A379639", "A379640", "A379641", "A379642", "A379644" ]
[ "M2888" ]
N. J. A. Sloane, Mira Bernstein, Robert G. Wilson v, Jud McCranie
2025-04-15T08:28:51
oeisdata/seq/A007/A007138.seq
c35b14b52856f633e554b75cc5677d00
A007139
Number of unlabeled bicolored bipartite graphs on 2n nodes having n nodes of each color with no edges between vertices of the same color and allowing the color classes to be interchanged.
[ "1", "2", "6", "26", "192", "3014", "127757", "16853750", "7343780765", "10733574184956", "52867617324773592", "882178116079222400788", "50227997322550920824045262", "9837048598740665027344331562224", "6681839615514161556535851222043192179", "15867777966020615016665849049841756464001994" ]
[ "nonn" ]
59
0
2
[ "A007139", "A007140" ]
[ "M4172" ]
N. J. A. Sloane
2020-12-16T17:51:03
oeisdata/seq/A007/A007139.seq
2ce9cb4956100322e8e341c7df13bbcf
A007140
Number of unlabeled bicolored graphs, with no isolated nodes, on 2n nodes having n nodes of each color and allowing the color classes to be interchanged.
[ "1", "1", "3", "14", "115", "2086", "101791", "14835870", "6852422567", "10338780759514", "51804974736769271", "872530598196790164797", "49930445153769776449253479", "9805619466642079028742952893709", "6670375074613812276139335045628924297", "15853216549413764390038207575938343994222273" ]
[ "nonn" ]
23
0
3
[ "A007139", "A007140", "A054976", "A123547", "A319155" ]
[ "M2980" ]
N. J. A. Sloane
2018-09-25T18:44:30
oeisdata/seq/A007/A007140.seq
7dac232d3e2dacb49f181e6d3d020735
A007141
E-trees with at most 2 colors.
[ "1", "2", "7", "22", "75", "250", "886", "3150", "11525", "42698", "160636", "610694", "2345584", "9081850", "35422281", "139022744", "548671671", "2176051206", "8668363781", "34667284600", "139140831224", "560271494924", "2262709876353", "9163000968906", "37198940600718", "151364381619042" ]
[ "nonn" ]
19
1
2
null
[ "M1757" ]
N. J. A. Sloane.
2017-10-30T03:31:05
oeisdata/seq/A007/A007141.seq
48ad8707f9efeec515f8b342db16afc1
A007142
E-trees with at most 3 colors.
[ "1", "3", "15", "73", "387", "2106", "11998", "69999", "418104", "2540368", "15660843", "97692822", "615559931", "3911866377", "25044058215", "161369414590", "1045681767924", "6810222330303", "44552627690401", "292642818035352", "1929238465836366", "12760620159195044" ]
[ "nonn" ]
20
1
2
null
[ "M2989" ]
N. J. A. Sloane.
2017-10-30T03:34:49
oeisdata/seq/A007/A007142.seq
ac8e7a3525e9a6c1ad6c71a9e6d62ff1
A007143
E-trees with exactly 2 colors.
[ "0", "0", "3", "16", "65", "238", "866", "3128", "11493", "42660", "160584", "610640", "2345504", "9081768", "35422175", "139022622", "548671517", "2176051050", "8668363573", "34667284390", "139140830956", "560271494630", "2262709876003", "9163000968554", "37198940600264", "151364381618576" ]
[ "nonn" ]
19
1
3
null
[ "M3013" ]
N. J. A. Sloane.
2017-10-30T03:33:17
oeisdata/seq/A007/A007143.seq
87c1b1b4f3aafd1f78248d9d796a8909
A007144
E-trees with exactly 3 colors.
[ "0", "0", "0", "16", "177", "1374", "9370", "60582", "383577", "2412331", "15179013", "95860821", "608523299", "3884620950", "24937791531", "160952346541", "1044035753142", "6803694176919", "44526622599370", "292538816181867", "1928821043343096", "12758939344710713" ]
[ "nonn" ]
19
1
4
null
[ "M5014" ]
N. J. A. Sloane.
2017-10-30T03:32:51
oeisdata/seq/A007/A007144.seq
95d5e19aaf043429f2ce3a2abd6e46b4
A007145
Number of rooted bridgeless graphs with n nodes.
[ "1", "0", "1", "4", "24", "193", "2420", "47912", "1600524", "93253226", "9694177479", "1822463625183", "625829508087155", "395785845695978077", "464137111800208818956", "1015091598240432264958267", "4160447480034069826186309689", "32088552194861245127627790541334" ]
[ "nonn", "nice" ]
26
1
4
[ "A004115", "A007145", "A007146" ]
[ "M3605" ]
N. J. A. Sloane
2021-11-07T15:28:08
oeisdata/seq/A007/A007145.seq
ed528ebaae758d4480464e1b6e8417ac
A007146
Number of unlabeled simple connected bridgeless graphs with n nodes.
[ "1", "0", "1", "3", "11", "60", "502", "7403", "197442", "9804368", "902818087", "153721215608", "48443044675155", "28363687700395422", "30996524108446916915", "63502033750022111383196", "244852545022627009655180986", "1783161611023802810566806448531", "24603891215865809635944516464394339" ]
[ "nonn", "nice" ]
45
1
4
[ "A000719", "A001349", "A002494", "A005470", "A007145", "A007146", "A013922", "A052446", "A095983", "A261919", "A263296", "A263914", "A263915", "A327069", "A327071", "A327074", "A327075", "A327077", "A327109", "A327144", "A327146", "A327200" ]
[ "M2909" ]
N. J. A. Sloane
2025-02-16T08:32:31
oeisdata/seq/A007/A007146.seq
de7fd180b5961822d2ab863adff5f287
A007147
Number of self-dual 2-colored necklaces with 2n beads.
[ "1", "1", "2", "2", "4", "5", "9", "12", "23", "34", "63", "102", "190", "325", "612", "1088", "2056", "3771", "7155", "13364", "25482", "48175", "92205", "175792", "337594", "647326", "1246863", "2400842", "4636390", "8956060", "17334801", "33570816", "65108062", "126355336", "245492244", "477284182" ]
[ "nonn", "nice", "easy" ]
69
1
3
[ "A000016", "A007147", "A016116", "A263768" ]
[ "M0319" ]
N. J. A. Sloane
2024-04-11T04:12:39
oeisdata/seq/A007/A007147.seq
08aedb0f7ef423d1b5961f1a0354880e
A007148
Number of self-complementary 2-colored bracelets (turnover necklaces) with 2n beads.
[ "1", "2", "3", "6", "10", "20", "37", "74", "143", "284", "559", "1114", "2206", "4394", "8740", "17418", "34696", "69194", "137971", "275280", "549258", "1096286", "2188333", "4369162", "8724154", "17422652", "34797199", "69505908", "138845926", "277383872", "554189329", "1107297290", "2212558942" ]
[ "nonn", "nice", "easy" ]
53
1
2
[ "A000013", "A000079", "A007147", "A007148", "A045690", "A093371" ]
[ "M0774" ]
N. J. A. Sloane
2020-05-02T16:39:46
oeisdata/seq/A007/A007148.seq
0afd51842cc929ac4c06932b5c27fa54
A007149
2-part of number of graphs on n nodes.
[ "0", "0", "1", "2", "0", "1", "2", "2", "1", "2", "4", "3", "4", "4", "5", "5", "4", "5", "8", "6", "8", "7", "8", "8", "9", "9", "10", "10", "15", "11", "12", "12", "11", "12", "16", "13", "16", "14", "15", "15", "17", "16", "17", "17", "19", "18", "19", "19", "20", "20", "21", "21", "23", "22", "23", "23", "25", "24", "25", "25", "27", "26", "27", "27", "26", "27", "31", "28", "32", "29", "30", "30", "35", "31", "32", "32", "34", "33", "34", "34", "36", "35", "36", "36", "38", "37", "38", "38" ]
[ "nonn" ]
32
0
4
[ "A000088", "A007149", "A007814" ]
[ "M0017" ]
N. J. A. Sloane
2024-07-04T19:59:59
oeisdata/seq/A007/A007149.seq
261ef6c99272500c18ffd34b03650849
A007150
2-part of number of tournaments on n nodes.
[ "0", "0", "1", "2", "2", "3", "3", "5", "4", "6", "5", "7", "6", "7", "7", "10", "8", "9", "9", "12", "10", "11", "11", "14", "12", "14", "13", "15", "14", "17", "15", "19", "16", "20", "17", "19", "18", "19", "19", "26", "20", "22", "21", "23", "22", "23", "23", "30", "24", "26", "25", "28", "26", "27", "27", "30", "28", "30", "29", "33", "30", "31", "31", "35", "32", "34", "33", "38", "34", "37", "35", "38", "36", "38", "37", "39" ]
[ "nonn" ]
34
1
4
[ "A000568", "A007150", "A007814" ]
[ "M0269" ]
N. J. A. Sloane
2024-07-02T16:04:01
oeisdata/seq/A007/A007150.seq
d597abf9ff82a0bdf98e3eef4e35eb88
A007151
Number of planted evolutionary trees of magnitude n.
[ "1", "3", "19", "198", "2906", "55018", "1275030", "34947664", "1105740320", "39661089864", "1590232358584", "70482038536880", "3421732373367504", "180574681050278960", "10292371442183694832", "630125771602386523392", "41239934114630205030656" ]
[ "nonn", "easy" ]
44
1
2
[ "A000169", "A000311", "A007151", "A007152", "A108521", "A108522" ]
[ "M3064" ]
Robert W. Robinson
2024-12-29T14:35:22
oeisdata/seq/A007/A007151.seq
507ba502124c02b575e495be08c3007f
A007152
Evolutionary trees of magnitude n.
[ "1", "1", "4", "28", "301", "4466", "84974", "1974904", "54233540", "1718280152", "61695193880", "2475688513024", "109797950475448", "5333253012414224", "281576039542538368", "16055279332196218624", "983264280857581866112", "64369946360185677026048", "4485859513184032011682304", "331558482325457407154881024" ]
[ "nonn", "easy" ]
23
1
3
[ "A007151", "A007152" ]
[ "M3628" ]
Robert W. Robinson
2020-03-30T04:19:14
oeisdata/seq/A007/A007152.seq
8aca0b9430a0104c4249cdce19495ad7
A007153
Dedekind numbers: number of monotone Boolean functions or antichains of subsets of an n-set containing at least one nonempty set.
[ "0", "1", "4", "18", "166", "7579", "7828352", "2414682040996", "56130437228687557907786", "286386577668298411128469151667598498812364" ]
[ "nonn", "hard", "nice" ]
63
0
3
[ "A000372", "A003182", "A007153", "A014466" ]
[ "M3551", "N1439" ]
N. J. A. Sloane
2025-02-16T08:32:31
oeisdata/seq/A007/A007153.seq
24c612959021422c0ed5983fee09654e
A007154
Spectrum of the free Kleene algebra on n free variables.
[ "0", "4", "82", "43916", "160297985274" ]
[ "nonn" ]
13
0
2
null
[ "M3703" ]
N. J. A. Sloane.
2017-11-07T18:23:08
oeisdata/seq/A007/A007154.seq
610139842e69e8abf032609ba9a32697
A007155
(2^(2^n))*(3^(3^n - 2^n)).
[ "2", "12", "3888", "297538935552", "675089708540070294583610393745358848", "202089899117162771494026986677587201812698520846319037282893739002965043835199487594696085800714664172178112512" ]
[ "nonn" ]
12
0
1
null
[ "M2055" ]
N. J. A. Sloane.
2017-11-07T18:22:59
oeisdata/seq/A007/A007155.seq
deaaf71b57f893b8abd9bf7ea6f2cd3e
A007156
Spectrum of a certain 3-element algebra.
[ "3", "11", "197", "129615", "430904428717" ]
[ "nonn" ]
10
0
1
null
[ "M2914" ]
N. J. A. Sloane.
2017-11-07T18:23:16
oeisdata/seq/A007/A007156.seq
a127b9474ba236adb400667e570f6bdf
A007157
Essentially n-ary operations in Kleene free algebra.
[ "0", "4", "74", "43682", "160297810086" ]
[ "nonn" ]
13
0
2
[ "A007154", "A007157" ]
[ "M3695" ]
N. J. A. Sloane.
2017-11-07T18:23:24
oeisdata/seq/A007/A007157.seq
724c5069bd17dc2a4ee81ca6b4e6b2fe
A007158
Essentially n-ary operations in a certain 3-element algebra.
[ "2", "10", "3866", "297538923922", "675089708540070294583609203589639922", "202089899117162771494026986677587201812698520846319037282893739002965043831824039051995734327796615178840634970" ]
[ "nonn" ]
13
0
1
[ "A007155", "A007158" ]
[ "M1995" ]
N. J. A. Sloane.
2017-11-07T18:23:32
oeisdata/seq/A007/A007158.seq
dc6c0e307e754904d459198207db81c3
A007159
Essentially n-ary operations in a certain 3-element algebra.
[ "3", "8", "178", "129054", "430903911398" ]
[ "nonn" ]
13
0
1
[ "A007156", "A007159" ]
[ "M2767" ]
N. J. A. Sloane.
2017-11-07T18:23:40
oeisdata/seq/A007/A007159.seq
4b3f1a6a744dec4bad2ae935b5510bc3
A007160
Number of diagonal dissections of a convex (n+6)-gon into n regions.
[ "1", "20", "225", "1925", "14014", "91728", "556920", "3197700", "17587350", "93486536", "483367885", "2442687975", "12109051500", "59053512000", "283963030560", "1348824395160", "6338392712550", "29503515951000", "136173391604250" ]
[ "easy", "nonn", "nice" ]
43
1
2
[ "A007160", "A033282" ]
[ "M5094" ]
N. J. A. Sloane
2022-08-14T16:53:44
oeisdata/seq/A007/A007160.seq
e52a891bcfe73e45e801430ea90b1fcb
A007161
Number of blobs with vertical symmetry.
[ "1", "1", "4", "15", "62", "262", "1148", "5123", "23316", "107570", "502664", "2372786", "11302858", "54256236", "262226900", "1274944859", "6231845040", "30605344282", "150948390672", "747356368322", "3713140528364", "18506907541124", "92509837573736", "463660345091686" ]
[ "nonn" ]
15
0
3
[ "A007161", "A007162" ]
[ "M3503" ]
N. J. A. Sloane.
2017-11-08T02:24:47
oeisdata/seq/A007/A007161.seq
6727fe8ae563c9b09a37c0d575ff3c52
A007162
Number of skeins with vertical symmetry.
[ "1", "1", "2", "7", "24", "96", "388", "1667", "7278", "32726", "149232", "692014", "3244182", "15374906", "73474008", "353835147", "1714967402", "8360511370", "40964207460", "201630767026", "996494168808", "4943036743112", "24601517883704", "122815436413582", "614828204108840" ]
[ "nonn" ]
14
0
3
[ "A007161", "A007162", "A007165" ]
[ "M1766" ]
N. J. A. Sloane.
2017-11-08T02:24:55
oeisdata/seq/A007/A007162.seq
18def339152c317fc8de8edc8dea8043
A007163
Number of P-graphs with vertical symmetry.
[ "1", "3", "10", "39", "158", "674", "2944", "13191", "60078", "277890", "1300536", "6151078", "29346036", "141088632", "682825140", "3324172359", "16267134462", "79975707362", "394833880540", "1956620531762", "9729300574580", "48529814786620", "242757311049680", "1217508537475894" ]
[ "nonn" ]
15
1
2
[ "A007162", "A007163" ]
[ "M2854" ]
N. J. A. Sloane
2017-11-08T08:46:46
oeisdata/seq/A007/A007163.seq
349e2c2389b5349294e308d438eb39e9
A007164
Number of P-graphs with 2n edges.
[ "1", "2", "7", "31", "167", "999", "6495", "44619", "319463", "2356406", "17775821", "136405506", "1060866006", "8339982193", "66147792753", "528559162227", "4250413757583", "34368723106860", "279254390054538", "2278795583070154", "18667432144042678", "153452484745198722" ]
[ "nonn" ]
13
1
2
[ "A003169", "A007163", "A007164", "A007165" ]
[ "M1784" ]
N. J. A. Sloane
2017-11-08T08:51:09
oeisdata/seq/A007/A007164.seq
820a68aa136a67562cb0bb9584e18e64
A007165
Number of P-graphs with 2n edges.
[ "1", "1", "2", "3", "8", "14", "42", "79", "252", "494", "1636", "3294", "11188", "22952", "79386", "165127", "579020", "1217270", "4314300", "9146746", "32697920", "69799476", "251284292", "539464358", "1953579240", "4214095612", "15336931928", "33218794236", "121416356108" ]
[ "nonn" ]
25
1
3
null
[ "M0873" ]
N. J. A. Sloane
2019-10-02T07:26:47
oeisdata/seq/A007/A007165.seq
cfe5adaed5210e0c631de109d9f16e47
A007166
Number of blobs with 2n+1 edges.
[ "1", "1", "2", "7", "27", "118", "537", "2570", "12587", "63173", "322385", "1669144", "8742999", "46253727", "246771340", "1326236480", "7173280391", "39017312543", "213287030596", "1171140510636", "6456473371424", "35723687996130", "198311302682834", "1104189489401230" ]
[ "nonn" ]
16
0
3
null
[ "M1777" ]
N. J. A. Sloane.
2017-11-07T18:39:07
oeisdata/seq/A007/A007166.seq
752145de781d12a1ca5252c905559aa1
A007167
Number of skeins with 2n+1 edges.
[ "1", "1", "4", "15", "62", "271", "1247", "5938", "29113", "145815", "743384", "3844314", "20118681", "106348391", "567002169", "3045455865", "16463622763", "89509216860", "489103356753", "2684663659765", "14795752770278", "81841297482116", "454202999050433", "2528381760697852" ]
[ "nonn" ]
24
0
3
null
[ "M3504" ]
N. J. A. Sloane
2024-09-15T01:57:43
oeisdata/seq/A007/A007167.seq
b5b84d05543b468f7b8fdd1c7e839fe1
A007168
Number of P-graphs with 2n edges.
[ "1", "2", "7", "26", "114", "512", "2427", "11794", "58787", "298188", "1535962", "8009527", "42209709", "224435066", "1202611161", "6487520874", "35204691958", "192042016789", "1052495823168", "5792479501760", "32000066582116", "177388902951224", "986412534845206", "5500872578870102" ]
[ "nonn" ]
22
1
2
null
[ "M1774" ]
N. J. A. Sloane
2025-02-08T13:58:01
oeisdata/seq/A007/A007168.seq
f3bc1b6f24c45e6264a4e86ace698722
A007169
Number of Q-graphs rooted at a polygon.
[ "0", "1", "2", "8", "43", "283", "1946", "14010", "103292", "776784", "5931402", "45870248", "358501321", "2827227425", "22469524972", "179785568562", "1447059691048", "11708296894260", "95176461591230", "776935668014674", "6366225809581766", "52344041948585714" ]
[ "nonn" ]
15
1
3
[ "A003168", "A007169" ]
[ "M1865" ]
N. J. A. Sloane.
2017-11-08T02:25:05
oeisdata/seq/A007/A007169.seq
e61db1eead10a56df6a97b1dfbc27f16
A007170
Number of Q-graphs with 2n edges.
[ "0", "1", "2", "8", "48", "328", "2335", "17133", "128262", "975547", "7518282", "58582564", "460769228", "3653385453", "29170737927", "234350263419", "1892956305974", "15364355580327", "125247311808502", "1024983176867450", "8417817643684208", "69355110426227296" ]
[ "nonn" ]
16
1
3
[ "A007169", "A007170", "A294724", "A294728" ]
[ "M1877" ]
N. J. A. Sloane.
2017-11-08T02:25:16
oeisdata/seq/A007/A007170.seq
6715180a64d180b4e8018667ee8963db
A007171
Number of Q-graphs with 2n edges.
[ "1", "2", "4", "16", "89", "579", "3989", "28630", "210865", "1584308", "12091902", "93483120", "730503054", "5760438853", "45780146521", "366304396662", "2948412461685", "23857049238752", "193944769559906", "1583294537879106", "12974430494985262", "106685110047676402" ]
[ "nonn" ]
14
1
2
[ "A003169", "A007165", "A007170", "A007171" ]
[ "M1296" ]
N. J. A. Sloane.
2017-11-08T02:25:24
oeisdata/seq/A007/A007171.seq
e5a66e07b0e82f11b3514248c3bed919
A007172
Erroneous version of A027610.
[ "1", "1", "1", "3", "7", "24", "93", "434", "2110", "10957", "58713", "321576", "1792133", "10131027", "57949430", "334970205", "1953890318", "11489753730", "68054102361", "405715557048" ]
[ "dead" ]
4
1
4
null
null
null
1999-12-11T03:00:00
oeisdata/seq/A007/A007172.seq
dea937a7c8869ca4cde27661c7885c2c
A007173
Number of simplicial 3-clusters with n cells.
[ "1", "1", "1", "4", "10", "40", "171", "831", "4147", "21822", "117062", "642600", "3582322", "20256885", "115888201", "669911568", "3907720521", "22979343010", "136107859377", "811430160282", "4866004426320", "29337068299728", "177738920836446", "1081668278379000", "6609923004626478", "40546403939165805" ]
[ "nonn", "nice", "easy" ]
53
1
4
[ "A001683", "A001764", "A007173", "A007175", "A027610", "A047751", "A047752", "A047753", "A047754", "A047758", "A047760", "A047762", "A047764", "A047765", "A047766", "A047769", "A047771", "A047773", "A047774", "A047775", "A047776", "A371350", "A371351" ]
[ "M3401" ]
N. J. A. Sloane
2024-03-21T08:31:50
oeisdata/seq/A007/A007173.seq
c9e4a2b433987ce9cc561db3738cf703
A007174
Erroneous version of A182322.
[ "1", "1", "1", "3", "7", "20", "131", "815", "5142", "36800", "272093", "2077909", "16176607", "127997683", "1025727646", "8310377815", "68217725764", "560527576100", "4556993996246" ]
[ "dead" ]
14
1
4
null
[ "M2679" ]
null
2015-10-13T01:38:14
oeisdata/seq/A007/A007174.seq
ab0c4d3399b10d8ee4346bf196370e58
A007175
Number of simplicial 4-clusters with n cells.
[ "1", "1", "1", "3", "8", "40", "211", "1406", "9754", "71591", "537699", "4131943", "32271490", "255690412", "2050376883", "16616721067", "135920429975", "1120999363012", "9313779465810", "77897862860818", "655433405297407", "5544948758579214", "47143948331898873", "402655164736641843", "3453509765971944236", "29734988097830504532" ]
[ "nonn", "easy" ]
21
1
4
null
[ "M2762" ]
N. J. A. Sloane
2020-01-11T18:33:58
oeisdata/seq/A007/A007175.seq
a9a536ffbcf817e5fae16878bc861613
A007176
Stopping times (see Borwein-Loring article for precise definition).
[ "2", "5", "9", "15", "25", "33", "393", "12231", "29753", "155943", "460537" ]
[ "nonn", "more" ]
21
1
1
null
[ "M1359" ]
N. J. A. Sloane
2022-11-19T01:13:03
oeisdata/seq/A007/A007176.seq
f7eb37cbfae935de788788e8f59abc6f
A007177
Stopping times.
[ "2", "4", "10", "31", "43", "121", "424", "853", "1966", "45961", "56479", "595612" ]
[ "nonn", "more" ]
17
1
1
null
[ "M1232" ]
N. J. A. Sloane
2022-11-19T01:13:39
oeisdata/seq/A007/A007177.seq
ce5ce90c5c7e0c206495a1b0e8026882
A007178
Number of ways to write 1 as ordered sum of n powers of 1/2, allowing repeats.
[ "1", "1", "3", "13", "75", "525", "4347", "41245", "441675", "5259885", "68958747", "986533053", "15292855019", "255321427725", "4567457001915", "87156877087069", "1767115200924299", "37936303950503853", "859663073472084315", "20505904049009202685", "513593410566661282347", "13476082013068430626893" ]
[ "nonn", "easy", "nice" ]
63
1
3
[ "A002572", "A007178", "A294746", "A323840" ]
[ "M2951" ]
N. J. A. Sloane, Simon Plouffe, Don Knuth
2024-02-02T09:06:41
oeisdata/seq/A007/A007178.seq
9e6d479b4bf76aeb29efba9de179a8d0
A007179
Dual pairs of integrals arising from reflection coefficients.
[ "0", "1", "1", "4", "6", "16", "28", "64", "120", "256", "496", "1024", "2016", "4096", "8128", "16384", "32640", "65536", "130816", "262144", "523776", "1048576", "2096128", "4194304", "8386560", "16777216", "33550336", "67108864", "134209536", "268435456", "536854528", "1073741824", "2147450880", "4294967296", "8589869056" ]
[ "nonn", "easy" ]
49
0
4
[ "A000045", "A000302", "A000918", "A003242", "A006516", "A007179", "A011782", "A027383", "A033484", "A034871", "A052952", "A052955", "A060867", "A074331", "A077896", "A077957", "A097805", "A116406", "A134057", "A138364", "A274230", "A309748", "A345197" ]
[ "M3284" ]
N. J. A. Sloane, Simon Plouffe
2023-06-25T21:07:20
oeisdata/seq/A007/A007179.seq
7829a44335f84548be2be18998e16a7f
A007180
Expansion of critical exponent for walks on tetrahedral lattice.
[ "3", "7", "19", "53", "147", "401", "1123", "3137", "8793", "24599", "69287", "194967", "550361", "1552645", "4393021", "12425121", "35213027", "99771855", "283162701", "803538483", "2283184527", "6486977223", "18450767769", "52477038631", "149387309235", "425257329235", "1211493474199" ]
[ "nonn", "walk" ]
17
1
1
null
[ "M2674" ]
Simon Plouffe
2017-11-12T03:08:26
oeisdata/seq/A007/A007180.seq
a9253cfa7e801a8000da148903a2a9ae
A007181
Expansion of critical exponent for walks on tetrahedral lattice.
[ "2", "2", "4", "12", "30", "60", "154", "404", "1046", "2540", "6720", "17484", "46522", "120300", "323800", "856032", "2315578", "6151080", "16745530", "44921984", "122790698", "331148108", "908909558", "2465359580", "6788313198", "18491757632", "51067082988" ]
[ "nonn", "walk" ]
18
1
1
null
[ "M0340" ]
Simon Plouffe
2017-11-12T03:08:12
oeisdata/seq/A007/A007181.seq
23008a494d20f383e3a70b283193a2a3
A007182
Dimension of n-th compound of a certain space.
[ "1", "2", "5", "10", "23", "45", "94", "179", "358", "672", "1292", "2382", "4470", "8132", "14937", "26832", "48507", "86205", "153717", "270507", "476896", "832001", "1452283", "2513705", "4350072", "7475915", "12838338", "21919846", "37385434", "63450376", "107547996", "181525120", "305951060", "513772849", "861463730" ]
[ "nonn" ]
20
0
2
null
[ "M1381" ]
Simon Plouffe
2016-02-24T04:36:04
oeisdata/seq/A007/A007182.seq
c8564e9bf66b4e72dbfec33e49f9a6b3
A007183
Maximal splittance of a planar graph with n nodes.
[ "0", "0", "0", "1", "2", "3", "4", "6", "8", "10", "12", "15", "16", "19", "22", "25", "27", "30", "32", "35", "37", "40", "42", "45", "48", "51", "54", "57", "60", "63", "66", "69", "72", "75", "78", "81", "84", "87", "90", "93", "96", "99", "102", "105", "108", "111", "114", "117", "120", "123", "126", "129", "132", "135", "138", "141", "144", "147", "150", "153", "156", "159", "162" ]
[ "nonn", "nice", "easy" ]
43
0
5
null
[ "M0550" ]
N. J. A. Sloane, Simon Plouffe
2024-03-03T04:01:55
oeisdata/seq/A007/A007183.seq
45e79824a6cc37973207085f7b0e91b8
A007184
a(n) = Product_{k=0..n-1} (2^(2^k - 1) + 1)^C(n,k).
[ "1", "2", "18", "39366", "23841243993846402", "81709849111396536877982595092224988258053033320397747014" ]
[ "nonn" ]
17
0
2
null
[ "M2113" ]
N. J. A. Sloane.
2017-11-12T16:27:53
oeisdata/seq/A007/A007184.seq
1214ef5ef02e80164d8dc3a77dab3ae5
A007185
Automorphic numbers ending in digit 5: a(n) = 5^(2^n) mod 10^n.
[ "5", "25", "625", "625", "90625", "890625", "2890625", "12890625", "212890625", "8212890625", "18212890625", "918212890625", "9918212890625", "59918212890625", "259918212890625", "6259918212890625", "56259918212890625", "256259918212890625", "2256259918212890625", "92256259918212890625" ]
[ "nonn", "base" ]
75
1
1
[ "A003226", "A007185", "A016090", "A018247" ]
[ "M3940" ]
N. J. A. Sloane
2025-02-16T08:32:31
oeisdata/seq/A007/A007185.seq
157d2d611691c236bb3e6e4bcb63e8eb
A007186
Stopping times.
[ "2", "6", "11", "26", "51", "106", "111", "113", "261", "286", "1506", "12666", "15751", "45356", "76501" ]
[ "nonn", "more" ]
17
1
1
null
[ "M1579" ]
N. J. A. Sloane
2022-11-19T01:14:05
oeisdata/seq/A007/A007186.seq
41827d1a635feb8c34d376cefee25fe1
A007187
Leech's tree-labeling problem for n nodes.
[ "1", "3", "6", "9", "15", "20", "26", "34", "41" ]
[ "nonn", "hard", "nice", "more" ]
33
2
2
[ "A005488", "A007187" ]
[ "M2532" ]
N. J. A. Sloane
2019-05-03T21:35:27
oeisdata/seq/A007/A007187.seq
011767e9706431a83a1a1977abde0141
A007188
Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i).
[ "2", "6", "90", "47250", "66852843750", "2806877704512541816406250", "1216935896582703898519354781702537118597533386230468750" ]
[ "nonn" ]
27
0
1
[ "A007188", "A007318", "A066117", "A123098", "A206284", "A206295", "A267096", "A297845" ]
[ "M1722" ]
N. J. A. Sloane.
2022-07-20T18:42:50
oeisdata/seq/A007/A007188.seq
b7914fda6728e3a157112cfff07731fc
A007189
Multiplicative encoding of Stirling numbers of first kind.
[ "2", "6", "540", "1240029000000", "108919557672285397857708866735205615234375000000000000000000000000" ]
[ "nonn" ]
18
1
1
[ "A000040", "A007189" ]
[ "M1725" ]
N. J. A. Sloane.
2018-05-08T15:11:54
oeisdata/seq/A007/A007189.seq
17d9dc2a7f723ef93f5cd268410cec7c
A007190
Multiplicative encoding of Stirling numbers of 2nd kind.
[ "2", "6", "270", "478406250", "26574922713477178215980529785156250" ]
[ "nonn" ]
20
1
1
[ "A000040", "A007190", "A008277" ]
[ "M1724" ]
N. J. A. Sloane.
2022-04-20T09:57:39
oeisdata/seq/A007/A007190.seq
4cf402ede969d1da541a3d9cf916025e
A007191
McKay-Thompson series of class 2B for the Monster group with a(0) = -24.
[ "1", "-24", "276", "-2048", "11202", "-49152", "184024", "-614400", "1881471", "-5373952", "14478180", "-37122048", "91231550", "-216072192", "495248952", "-1102430208", "2390434947", "-5061476352", "10487167336", "-21301241856", "42481784514", "-83300614144" ]
[ "sign", "easy", "nice" ]
80
-1
2
[ "A007191", "A007246", "A014103", "A035099", "A045479", "A097340", "A107080", "A115977", "A134786", "A161195", "A161196" ]
[ "M5157" ]
N. J. A. Sloane
2025-02-16T08:32:31
oeisdata/seq/A007/A007191.seq
95ea90a820bebae1604fce21f2828838
A007192
Number of edges in minimal broadcast graph with n nodes.
[ "0", "1", "2", "4", "5", "6", "8", "12", "10", "12", "13", "15", "18", "21", "24", "32", "22", "23", "25", "26", "28", "31" ]
[ "nonn", "more", "nice" ]
13
1
3
null
[ "M0508" ]
Simon Plouffe
2015-07-21T11:31:47
oeisdata/seq/A007/A007192.seq
bb3c6bf8fd68b12ac976f1837d538179
A007193
Number of strict n-node animals on cubic lattice.
[ "1", "6", "45", "365", "3101", "27144", "242636", "2202873", "20241055", "187766940", "1755409652", "16517284570", "156265005369", "1485269469971", "14174126304850", "135741870538293", "1303996171096108", "12561249340326373", "121298814197201725" ]
[ "nonn" ]
23
1
2
[ "A006193", "A007193", "A007194", "A007195", "A007196", "A007197", "A007198", "A007199" ]
[ "M4249" ]
Simon Plouffe
2017-11-05T15:52:17
oeisdata/seq/A007/A007193.seq
f798927171f84caa9ad396c8e7e93e24
A007194
Number of primitive n-node animals on cubic lattice.
[ "0", "1", "6", "45", "374", "3300", "30282", "285682", "2751258", "26921589", "266797836", "2671518873", "26981681412", "274493963898", "2809920769440", "28919412629031" ]
[ "nonn", "more" ]
14
0
3
null
[ "M4250" ]
Simon Plouffe
2017-11-05T15:53:19
oeisdata/seq/A007/A007194.seq
3af2eff012f408772f73d1f8106d8ee9
A007195
Number of strict n-node animals on b.c.c. lattice.
[ "1", "4", "22", "130", "807", "5163", "33742", "224002", "1505146", "10211027", "69814781", "480435484", "3324233772", "23108532996", "161288459289" ]
[ "nonn", "more" ]
17
1
2
null
[ "M3585" ]
Simon Plouffe
2017-11-05T15:53:44
oeisdata/seq/A007/A007195.seq
8842bde7bfd842091ba7cb079c779375
A007196
Number of primitive n-node animals on b.c.c. lattice.
[ "1", "4", "22", "136", "897", "6168", "43670", "315956", "2324479", "17329828", "130605478", "993182984", "7610051579", "58689316888", "455159096044" ]
[ "nonn", "more" ]
20
1
2
null
[ "M3586" ]
N. J. A. Sloane, Simon Plouffe
2017-11-05T15:54:02
oeisdata/seq/A007/A007196.seq
6bf21423d5dec678af643c47aa9a98d6
A007197
Number of n-node animals on b.c.c. lattice.
[ "1", "5", "31", "209", "1476", "10739", "79780", "601905", "4595485", "35419710", "275109858", "2150537435", "16901814190", "133452123796", "1057920031536" ]
[ "nonn", "more" ]
24
1
2
null
[ "M3963" ]
Simon Plouffe
2018-10-15T12:05:46
oeisdata/seq/A007/A007197.seq
f31b819acdd709b77b15d773484d503a
A007198
Number of n-node animals on f.c.c. lattice.
[ "1", "3", "12", "52", "238", "1125", "5438", "26715", "132871", "667312", "3377906", "17210522", "88169685", "453810095", "2345209383", "12162367228", "63270384303" ]
[ "nonn", "more" ]
17
1
2
null
[ "M2922" ]
Simon Plouffe
2017-11-05T15:55:01
oeisdata/seq/A007/A007198.seq
6630d17a54441f01060acfdcff9da539
A007199
Number of n-node animals on f.c.c. lattice.
[ "1", "3", "12", "55", "273", "1425", "7695", "42576", "239925", "1371555", "7931817", "46310127", "272559558", "1615163592", "9627985773", "57688721354", "347228163630" ]
[ "nonn", "more" ]
18
1
2
null
[ "M2925" ]
Simon Plouffe
2017-11-05T15:55:24
oeisdata/seq/A007/A007199.seq
bb8e61aa1b124949e8499a798dfe8b47
A007200
Number of self-avoiding walks on hexagonal lattice, with additional constraints.
[ "12", "48", "180", "792", "3444", "15000", "64932", "280200", "1204572", "5159448", "22043292", "93952428", "399711348", "1697721852", "7200873444", "30500477676", "129049335924", "545436439536", "2303305856916" ]
[ "nonn", "walk" ]
16
2
1
[ "A007200", "A007201" ]
[ "M4838" ]
Simon Plouffe
2017-11-20T13:59:33
oeisdata/seq/A007/A007200.seq
678fe08c0a720cafdd105d7c0b6dbdb4