Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A008861
[ 1, 2, 4, 8, 16, 32, 64, 128, 256, 511, 1013, 1981, 3797, 7099, 12911, 22819, 39203, 65536, 106762, 169766, 263950, 401930, 600370, 880970, 1271626, 1807781, 2533987, 3505699, 4791323, 6474541, 8656937, 11460949, 15033173, 19548046 ]
[ "nonn", "easy" ]
A107962
[ 1, 19, 142, 665, 2338, 6762, 16968, 38214, 79035, 152581, 278278, 483847, 807716, 1301860, 2035104, 3096924, 4601781, 6694023, 9553390, 13401157, 18506950, 25196270, 33858760, 44957250, 59037615, 76739481, 98807814, 126105427 ]
[ "nonn", "easy" ]
A014774
[ 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ "sign" ]
A109068
[ 15, 35, 77, 221, 899, 1517, 2021, 5183, 8633, 11663, 23707, 27221, 36863, 41989, 47053, 57599, 60491, 77837, 111547, 164009, 233273, 324899, 372091, 416021, 471953, 522713, 568507, 608351, 665831, 680621 ]
[ "nonn" ]
A035504
[ 1, 10, 100, 112, 121, 211, 778, 787, 877, 1000, 1012, 1021, 1102, 1120, 1189, 1198, 1201, 1210, 1234, 1243, 1324, 1342, 1423, 1432, 1579, 1597, 1759, 1795, 1819, 1891, 1918, 1957, 1975, 1981, 2011, 2101, 2110, 2134, 2143, 2314, 2341, 2413, 2431, 2779 ]
[ "nonn", "easy", "base" ]
A341979
[ 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 4, 0, 3, 0, 3, 1, 7, 0, 6, 1, 6, 1, 11, 0, 11, 2, 11, 3, 19, 1, 18, 3, 18, 5, 30, 4, 28, 6, 30, 10, 45, 6, 40, 11, 46, 16, 63, 11, 60, 19, 69, 25, 88, 18, 86, 32, 97, 36, 121, 32, 123, 47, 131, 55, 164, 49, 164, 69, 181, 80 ]
[ "nonn" ]
A072074
[ 2, 2, 4, 11, 16, 24, 43, 63, 94, 152, 224, 324, 464, 644, 897, 1271, 1790, 2521, 3501, 4814, 6535, 8779, 11739, 15585, 20625, 27166, 35588, 46363, 60065, 77424, 99337, 127020, 161930, 205847, 260929, 329782, 415533, 522173, 654548, 818278, 1020391 ]
[ "nonn" ]
A206001
[ 271129, 78557, 1777613, 169073869 ]
[ "more", "nonn" ]
A061855
[ 0, 2, 10, 12, 42, 52, 56, 170, 178, 204, 212, 232, 240, 682, 722, 738, 812, 852, 868, 920, 936, 976, 992, 2730, 2762, 2866, 2898, 2978, 3010, 3244, 3276, 3380, 3412, 3492, 3524, 3640, 3672, 3752, 3784, 3888, 3920, 4000, 4032, 10922, 11082, 11146 ]
[ "nonn" ]
A311334
[ 1, 4, 8, 12, 16, 22, 24, 28, 34, 40, 44, 48, 50, 52, 58, 62, 66, 70, 76, 82, 88, 90, 92, 96, 98, 102, 108, 114, 118, 124, 128, 132, 136, 138, 140, 144, 150, 156, 162, 164, 168, 174, 178, 180, 184, 188, 192, 198, 202, 206 ]
[ "nonn" ]
A324479
[ 7, 0, 3, 0, 4, 2, 6, 8, 7, 3, 2, 5, 7, 8, 3, 2, 9, 2, 7, 2, 1, 5, 7, 1, 9, 8, 7, 0, 9, 3, 0, 2, 6, 5, 6, 1, 5, 7, 7, 6, 0, 2, 4, 5, 2, 5, 8, 0, 2, 6, 6, 2, 0, 1, 0, 4, 4, 3, 3, 7, 0, 7, 0, 2, 7, 1, 4, 2, 8, 8, 5, 6, 9, 9, 4, 9, 5, 0, 2, 1, 6, 2, 9, 1, 7, 0, 4 ]
[ "nonn", "cons" ]
A389346
[ 1, 0, 1, 4, 13, 48, 191, 776, 3219, 13628, 58600, 255124, 1122519, 4983796, 22299627, 100454036, 455212313, 2073680196, 9490802309, 43620240660, 201241963152, 931624173296, 4326349259236, 20148605015184, 94082571239825, 440376748997612, 2065908139983961, 9711765277023280 ]
[ "nonn" ]
A046770
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 10, 0, 1, 0, 20, 0, 4, 0, 35, 0, 14, 0, 57, 0, 36, 0, 88, 0, 85, 0, 134, 0, 177, 0, 205, 0, 348, 0, 321, 0, 638, 0, 519, 0, 1126, 0, 866, 0, 1905, 0, 1473, 0, 3141, 0, 2530, 0, 5046, 0, 4341, 0, 7976, 0, 7387, 0, 12416, 0, 12415 ]
[ "nonn" ]
A158834
[ 1, 4, 30, 315, 4200, 67620, 1273668, 27454218, 666200106, 17968302638, 533188477536, 17261808531552, 605452449574320, 22870569475477110, 925663441858807000, 39964465820186755000, 1.833332492818402e+21 ]
[ "nonn" ]
A033752
[ 1, 2, 2, 4, 4, 6, 12, 12, 16, 18, 22, 32, 36, 44, 44, 60, 72, 76, 98, 88, 116, 144, 136, 164, 160, 194, 228, 232, 260, 244, 324, 344, 344, 408, 356, 484, 524, 484, 576, 552, 688, 732, 728, 804, 760, 1014, 996, 972 ]
[ "nonn" ]
A344217
[ 0, 1, 4, 17, 69, 204, -330, -12510, -110250, -42840, 16760520, 332942400, 3258208800, -13239903600, -1299112214400, -28283225770800, -232265443410000, 6756753459456000, 338710300424496000, 7139034325607184000, 19827438602379407000, -4.654590583125843e+21 ]
[ "sign" ]
A234338
[ 604, 9076, 120838, 1709528, 23776684, 333289866, 4661112720, 65252337120, 913202183554, 12781885209276, 178897637723208, 2503927583256606, 35045839285941264, 490514833684342100, 6865426090112848000 ]
[ "nonn" ]
A131743
[ 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0 ]
[ "nonn", "easy" ]
A298274
[ 0, 4, 129, 10679, 3214459, 3328434344, 11799327975543, 143597352796799620, 5.998900161419246e+21 ]
[ "nonn" ]
A051009
[ 1, 2, 12, 408, 470832, 627013566048, 1.1119848443498682e+24, 3.497379255757941e+48 ]
[ "nonn", "frac" ]
A121848
[ 0, 2, 11, 18, 32, 25, 44, 63, 56, 80, 104, 68, 97, 126, 155, 114, 148, 182, 131, 170, 216 ]
[ "nonn", "uned" ]
A032902
[ 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 16, 17, 18, 20, 21, 22, 23, 24, 30, 31, 35, 36, 37, 40, 41, 42, 43, 45, 46, 47, 48, 49, 60, 61, 62, 65, 66, 67, 68, 70, 71, 72, 73, 74, 90, 91, 92, 93, 95, 96, 97, 98, 99, 120, 121, 122, 123, 124, 125, 130 ]
[ "nonn", "base" ]
A246031
[ 1, 26, 26, 124, 26, 676, 124, 1400, 26, 676, 676, 3224, 124, 3224, 1400, 10000, 26, 676, 676, 3224, 676, 17576, 3224, 36400, 124, 3224, 3224, 15376, 1400, 36400, 10000, 89504, 26, 676, 676, 3224, 676, 17576, 3224, 36400, 676, 17576, 17576, 83824, 3224, 83824, 36400, 260000, 124, 3224, 3224, 15376, 3224, 83824, 15376, 173600, 1400, 36400, 36400, 173600, 10000, 260000, 89504, 707008 ]
[ "nonn" ]
A104724
[ 15, 55, 1555, 50555, 505555, 1555555, 55255555, 355555555, 5155555555, 52555555555, 155555555555, 1555555555555, 25555555555555, 155555555555555, 5155555555555555, 25555555555555556, 505555555555555600 ]
[ "base", "nonn" ]
A254321
[ 6, 8, 9, 22, 26, 30, 33, 34, 38, 40, 42, 44, 45, 48, 51, 52, 55, 56, 57, 60, 62, 63, 65, 66, 68, 70, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 87, 88, 90, 91, 94, 95, 96, 99, 102, 110, 111, 112, 114, 115, 117, 118, 122, 130, 133, 136, 141, 144, 152, 153, 155, 161 ]
[ "nonn", "base" ]
A074577
[ 3, 21, 149, 1071, 7793, 57351, 426449, 3200631, 24221633, 184649031, 1416683249, 10930058391, 84737546273, 659705518311, 5154633748049, 40402118583351, 317529017187713, 2501356987117191, 19744372064060850, 156123443001239520 ]
[ "easy", "nonn" ]
A146406
[ 1, 1, 1, 1, 1, 1, 17, 21, 669, 1435, 18911, 48821, 1583279, 5119381, 552048095, 2284826569, 405071372171, 2114490125109, 687967929796833, 4506360355608779, 2940096330466050000, 24177384329604440000 ]
[ "nonn" ]
A310264
[ 1, 3, 7, 13, 19, 25, 30, 34, 38, 40, 42, 45, 51, 57, 63, 69, 74, 79, 81, 85, 89, 95, 100, 104, 110, 114, 118, 119, 123, 127, 133, 139, 144, 151, 155, 161, 163, 167, 170, 174, 180, 184, 190, 193, 199, 201, 205, 209, 214, 221 ]
[ "nonn" ]
A370613
[ 1, 1, 1, 5, 9, 63, 509, 2959, 22453, 247949, 3080991, 28988331, 407320739, 5122243495, 82583577967, 1430027615585, 22556817627789, 395098668828675, 7979894546677853, 154786744386253380, 3355612019167353000, 78865333300205580000, 1.7696636756664996e+21 ]
[ "nonn" ]
A178665
[ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 3, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 4, 0, 0, 4, 1, 0, 1, 1, 1, 0, 0, 2, 3, 0, 1, 5, 0, 0, 2, 1, 2, 0, 1, 4, 2, 0, 2, 5, 0, 0, 3, 0, 1, 0, 0, 5, 1, 0, 5, 4, 0, 1, 4, 1, 1, 1, 1, 5, 0, 0, 6, 2, 0, 2, 3, 1, 0, 1, 2, 4, 0, 1, 8, 1, 0, 4, 2, 1, 0, 1, 3, 2, 0, 2, 6, 0, 0, 5, 1, 1, 1, 1 ]
[ "nonn", "fini" ]
A209951
[ 34, 258, 258, 1956, 4975, 1956, 14832, 95794, 95794, 14832, 112464, 1845126, 4681176, 1845126, 112464, 852768, 35537484, 228881560, 228881560, 35537484, 852768, 6466176, 684469520, 11189540644, 28414622976, 11189540644, 684469520, 6466176 ]
[ "nonn", "tabl" ]
A166203
[ 1, 9, 3, 10, 138, 579, 5166, 172012, 1571016, 46316901, 5087344969, 113781268522, 9916013916442 ]
[ "nonn" ]
A039017
[ 1, 3, 4, 5, 7, 9, 10, 11, 12, 19, 21, 22, 23, 25, 27, 28, 29, 31, 33, 34, 35, 38, 43, 45, 46, 47, 48, 55, 57, 58, 59, 61, 63, 64, 65, 67, 69, 70, 71, 73, 75, 76, 77, 78, 90, 96, 102, 110, 115, 117, 118, 119, 120, 127, 129, 130, 131, 133, 135, 136, 137, 139, 141, 142 ]
[ "nonn", "base", "easy" ]
A022198
[ 1, 3280, 8069620, 18326727760, 40581331447162, 89117945389585840, 195168545232713300000, 4.2702877696917666e+23, 9.340542347600123e+26, 2.042880353039758e+30, 4.467854961017673e+33 ]
[ "nonn", "easy" ]
A319144
[ 1, 2, 7, 82, 3413, 310306, 47180827, 10609392242, 3284088709897, 1333647722701378, 686179134994911400, 435599748089861500000, 3.341227492260624e+23, 3.04457064400271e+26, 3.249702105270674e+29, 4.015233727356707e+32, 5.684901926468382e+35, 9.142482925133269e+38 ]
[ "nonn" ]
A112310
[ 0, 1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 3, 4, 4, 4, 5, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 5, 6, 4, 4, 5, 4, 5, 5, 5, 6, 4, 5, 5, 5, 6, 5, 5, 6, 5, 6, 6, 6, 7, 4, 5, 5, 5, 6, 5, 5, 6, 5, 6, 6, 6, 7, 5, 5, 6, 5, 6, 6, 6, 7, 5, 6, 6, 6, 7, 6, 6, 7, 6, 7, 7, 7, 8, 5, 5, 6, 5, 6, 6, 6, 7, 5, 6, 6, 6, 7, 6, 6, 7, 6 ]
[ "nonn", "easy" ]
A038706
[ 4, 28, 13, 9, 93, 20, 31, 2, 3, 339, 71, 126, 107, 48, 18, 292, 327, 133, 611, 342, 23, 202, 441, 164, 512, 235, 957, 349, 528, 77, 179, 591, 307, 381, 2011, 245, 2435, 187, 1870, 117, 1359, 1071, 762, 4199, 4309, 2308, 4294, 1012, 1501, 3490, 2249, 283 ]
[ "hard", "nice", "nonn" ]
A208498
[ 16, 256, 324, 828, 1794, 4104, 9912, 21976, 52560, 121264, 279930, 662256, 1518514, 3571988, 8299060, 19262480, 45164520, 104532130, 244409310, 568980936, 1322673264, 3089796934, 7178968320, 16741713920, 38997040062, 90747250860 ]
[ "nonn" ]
A064608
[ 1, 3, 5, 7, 9, 13, 15, 17, 19, 23, 25, 29, 31, 35, 39, 41, 43, 47, 49, 53, 57, 61, 63, 67, 69, 73, 75, 79, 81, 89, 91, 93, 97, 101, 105, 109, 111, 115, 119, 123, 125, 133, 135, 139, 143, 147, 149, 153, 155, 159, 163, 167, 169, 173, 177, 181, 185, 189, 191, 199, 201 ]
[ "nonn", "easy" ]
A238890
[ 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 4, 1, 2, 2, 3, 6, 1, 1, 4, 4, 1, 5, 3, 5, 5, 4, 5, 1, 2, 5, 7, 6, 5, 2, 2, 4, 4, 4, 10, 6, 5, 5, 4, 6, 8, 7, 5, 8, 5, 8, 5, 3, 5, 9, 6, 7, 2, 2, 4, 6, 7, 8, 11, 8, 8, 10, 6, 8, 10, 2, 5, 11, 7, 5, 10, 10, 8, 7, 9, 8 ]
[ "nonn" ]
A025973
[ 1, 23, 349, 4443, 51597, 568155, 6054973, 63196331, 650620333, 6637326267, 67293219357, 679380276939, 6838972903309, 68706054180059, 689275354683901, 6908259384473067, 69191143298038130, 692671313513140700 ]
[ "nonn", "easy" ]
A232921
[ 9, 18, 54, 144, 396, 1080, 2952, 8064, 22032, 60192, 164448, 449280, 1227456, 3353472, 9161856, 25030656, 68385024, 186831360, 510432768, 1394528256, 3809922048, 10408900608, 28437645312, 77693091840, 212261474304 ]
[ "nonn" ]
A307492
[ 1, 5, 42925, 1026745 ]
[ "nonn", "more" ]
A178452
[ 0, 0, 1, 4, 10, 22, 47, 98, 200, 404, 813, 1632, 3270, 6546, 13099, 26206, 52420, 104848, 209705, 419420, 838850, 1677710, 3355431, 6710874, 13421760, 26843532, 53687077, 107374168, 214748350, 429496714, 858993443, 1717986902 ]
[ "nonn", "easy" ]
A216258
[ 14, 44, 198, 609, 1401, 112819, 178805, 207955, 325039, 580880, 1021992, 1772375, 2029566, 3033041, 3949119, 6635915, 23167430, 29528576, 37549534, 47642323, 96069084, 120875711, 135486560, 190250539, 212844157, 297227062, 331927519, 461087390, 572830228 ]
[ "nonn" ]
A389537
[ 1, 1, 2, 4, 8, 14, 16, -20, -232, -1100, -4120, -13494, -39620, -103376, -227520, -343520, 179000, 4418792, 24500544, 102237716, 366621288, 1170503856, 3328282736, 8147202910, 15145509756, 7777488948, -110050600352, -753145186372, -3453950725664, -13244484622144 ]
[ "sign" ]
A053409
[ 21, 34, 55, 377, 4181, 17711, 121393, 1346269, 5702887, 165580141, 53316291173, 956722026041, 2504730781961, 308061521170129, 806515533049393, 14472334024676220, 1779979416004714200, 19740274219868220000, 573147844013817100000, 1.0284720757613718e+22 ]
[ "nonn" ]
A286352
[ 1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 1, -1, 0, 1, -4, 3, -2, 1, 0, 1, -5, 6, -4, 4, -1, 0, 1, -6, 10, -8, 9, -4, 1, 0, 1, -7, 15, -15, 17, -12, 5, -1, 0, 1, -8, 21, -26, 30, -28, 15, -6, 2, 0, 1, -9, 28, -42, 51, -56, 38, -21, 9, -2, 0, 1, -10, 36, -64, 84 ]
[ "sign", "tabl" ]
A168742
[ 1, 17, 272, 4352, 69632, 1114112, 17825792, 285212672, 4563402752, 73014444032, 1168231104512, 18691697672192, 299067162755072, 4785074604081152, 76561193665298430, 1224979098644775000, 19599665578316400000 ]
[ "nonn", "easy" ]
A283141
[ 1, 10, 100, 1010, 10100, 100010, 1011100, 10111010, 101010100, 1010100010, 10000011100, 100110111010, 1011000010100, 10001100100010, 101100100011100, 1010010010111010, 10110100100010100, 101001100010100020, 1001000100000011100, 10100111011110111000 ]
[ "nonn", "easy" ]
A188995
[ 32, 1024, 10871, 92532, 852448, 7844188, 72609144, 669102268, 6148530729, 56342169330, 515230781644, 4705003935324, 42922221924060, 391310478485712, 3565871249163397, 32485016339270612, 295879583057259140 ]
[ "nonn" ]
A100300
[ 1, 1, 6, 22, 99, 451, 2140, 10396, 51525, 259429, 1323362, 6824434, 35519687, 186346759, 984400760, 5231789176, 27954506505, 150079713481, 809181079294, 4379654830222, 23787413800491, 129607968854731, 708230837732436, 3880366912218772, 21312485647242828, 117321536967959340 ]
[ "nonn" ]
A299356
[ 16, 286, 614, 2151, 8269, 29682, 104376, 369294, 1307456, 4626910, 16374482, 57956767, 205128801, 725997179, 2569522383, 9094341536, 32187564037, 113921464465, 403202542814, 1427055744748, 5050782633800, 17876250910601 ]
[ "nonn" ]
A177532
[ 1, 1, 2, 6, 24, 120, 701, 4774, 37128, 326089, 3184221, 34191983, 400308461, 5076257396, 69329710171, 1014612340743, 15838898430094, 262706269352374, 4613506518038420, 85520547931177000, 1668736482655334400, 34189755475407634000, 733851215342599400000 ]
[ "nonn" ]
A233857
[ 104576, 699984, 4319616, 41245344, 337818824, 4191443728, 40029477624, 580040050696, 5963080729144, 92966216647592, 989238351719592, 15886738589728660, 171995861479883840, 2792218511889124000 ]
[ "nonn" ]
A242662
[ 0, 1, 2, 4, 8, 9, 16, 18, 21, 25, 29, 32, 36, 37, 42, 49, 50, 53, 57, 58, 64, 72, 74, 81, 84, 93, 98, 100, 106, 109, 113, 114, 116, 121, 128, 133, 137, 141, 144, 148, 149, 162, 168, 169, 177, 186, 189, 193, 196, 197, 200, 212, 217, 218, 225, 226, 228, 232, 233, 242, 249, 256, 261, 266, 274, 277, 281, 282, 288, 289, 296, 298 ]
[ "nonn" ]
A302373
[ 64, 21, 5110, 3143, 367512, 3858625, 188443738, 4558781926, 165780766701, 5415891438878, 189247523369764, 6553114775753702, 229298263096647650, 8027176450120825000, 281624648305633430000, 9.882003741109888e+21 ]
[ "nonn" ]
A100691
[ 1, 4, 12, 30, 70, 158, 352, 780, 1724, 3806, 8398, 18526, 40864, 90132, 198796, 438462, 967062, 2132926, 4704320, 10375708, 22884348, 50473022, 111321758, 245527870, 541528768, 1194379300, 2634286476, 5810101726, 12814582758 ]
[ "nonn", "easy" ]
A111593
[ 1, 0, 1, 0, 0, 1, 0, -2, 0, 1, 0, 0, -8, 0, 1, 0, 16, 0, -20, 0, 1, 0, 0, 136, 0, -40, 0, 1, 0, -272, 0, 616, 0, -70, 0, 1, 0, 0, -3968, 0, 2016, 0, -112, 0, 1, 0, 7936, 0, -28160, 0, 5376, 0, -168, 0, 1, 0, 0, 176896, 0, -135680, 0, 12432, 0, -240, 0, 1, 0, -353792, 0, 1805056, 0, -508640, 0, 25872 ]
[ "sign", "easy", "tabl" ]
A341246
[ 1, 0, 7, 7, 28, 49, 105, 203, 364, 672, 1141, 1960, 3220, 5250, 8359, 13104, 20272, 30877, 46522, 69195, 101941, 148604, 214697, 307475, 436849, 615965, 862246, 1199009, 1656642, 2275231, 3106824, 4219502, 5701066, 7664923, 10256771, 13663574, 18123924, 23941190 ]
[ "nonn" ]
A307941
[ 4, 34, 368, 4685, 66416, 1013268, 16279788, 271594611, 4660794200, 81747301898, 1458812278424, 26400987754054, 483374731032868, 8936983620559660, 166617056922535070, 3128790129161470500, 59124052722375910000, 1.1234586557261253e+21, 2.14528477676684e+22 ]
[ "nonn" ]
A249772
[ 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 10, 0, 12, 2, 1, 0, 16, 0, 9, 1, 2, 10, 11, 0, 5, 12, 0, 2, 14, 1, 6, 0, 10, 16, 2, 0, 4, 9, 12, 1, 40, 2, 3, 10, 1, 11, 23, 0, 14, 5, 16, 12, 26, 0, 10, 2, 9, 14, 58, 1, 60, 6, 2, 0, 12, 10, 33, 16, 11, 2, 35, 0, 36, 4, 5, 9, 10, 12, 78, 1, 0, 40, 82, 2, 16 ]
[ "nonn", "base", "easy" ]
A062834
[ 3, 24, 2, 70, 1680, 55440, 55440, 65520, 65520, 5040, 10080, 5040, 1627920, 1627920, 85680, 942480, 21677040, 492660, 107100, 64260, 621180, 1242360, 1328040, 10624320, 1328040, 14608440, 1217370, 277560360, 133506533160 ]
[ "nonn" ]
A284694
[ 1, 2, 3, 2, 5, 2, 7, 2, 2, 2, 11, 2, 13, 2, 3, 2, 17, 2, 19, 2, 3, 2, 23, 2, 2, 2, 3, 2, 29, 2, 31, 2, 3, 2, 5, 2, 37, 2, 3, 2, 41, 2, 43, 2, 2, 2, 47, 2, 2, 2, 3, 2, 53, 2, 5, 2, 3, 2, 59, 2, 61, 2, 2, 2, 5, 2, 67, 2, 3, 2, 71, 2, 73, 2, 2, 2, 7, 2, 79, 2, 2 ]
[ "nonn" ]
A017850
[ 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 3, 4, 5, 4, 4, 5, 7, 10, 15, 18, 20, 22, 25, 30, 41, 55, 70, 85, 100, 115, 138, 173, 221, 281, 351, 425, 508, 611, 747, 928, 1164, 1451, 1786, 2176, 2642, 3219, 3958, 4901, 6076 ]
[ "nonn", "easy" ]
A033481
[ 21, 64, 32, 16, 8, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1, 4, 2, 1 ]
[ "nonn", "easy" ]
A300061
[ 1, 3, 4, 7, 9, 10, 12, 13, 16, 19, 21, 22, 25, 27, 28, 29, 30, 34, 36, 37, 39, 40, 43, 46, 48, 49, 52, 53, 55, 57, 61, 62, 63, 64, 66, 70, 71, 75, 76, 79, 81, 82, 84, 85, 87, 88, 89, 90, 91, 94, 100, 101, 102, 107, 108, 111, 112, 113, 115, 116, 117, 118, 120 ]
[ "nonn" ]
A190086
[ 4, 9, 14, 19, 24, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 146, 151, 156, 161, 166, 172, 176, 181, 186, 191, 196, 201, 205, 210, 215, 220, 225, 231, 235, 240, 245, 250, 255, 260, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 318, 323, 328, 333, 338, 344, 348 ]
[ "nonn" ]
A063569
[ 9, 3, 3, 2, 6, 6, 1, 5, 12, 4, 9, 16, 4, 13, 28, 18, 3, 10, 15, 21, 26, 3, 22, 12, 27, 26, 17, 7, 16, 4, 13, 22, 24, 12, 27, 19, 2, 21, 22, 30, 13, 14, 22, 25, 17, 15, 6, 15, 28, 15, 21, 31, 46, 23, 28, 18, 6, 15, 20, 17, 10, 8, 11, 33, 14, 6, 6, 8, 18, 9, 11, 22, 26, 17, 16, 33 ]
[ "base", "nonn" ]
A383044
[ 4, 6, 8, 10, 12, 14, 16, 20, 24, 28, 32, 40, 48, 56, 64, 70, 80, 94, 96, 112, 128, 140, 160, 188, 192, 224, 256, 280, 320, 376, 384, 448, 512, 560, 640, 752, 768, 896, 1024, 1120, 1280, 1504, 1536, 1792, 2048, 2240, 2560, 3008, 3072, 3584, 4096, 4480, 5120, 6016, 6144, 7168, 8192, 8960 ]
[ "nonn" ]
A321363
[ 3, 5, 7, 13, 17, 19, 31, 37, 53, 59, 71, 73, 79, 97, 113, 331, 337, 557, 773, 991, 997, 1117, 3331, 5557, 11113, 11117, 11119, 33331, 77773, 99991, 111119, 333331, 333337, 555557, 3333331, 9999991, 11111117, 11111119, 33333331, 55555553, 55555559, 111111113 ]
[ "nonn", "base" ]
A070923
[ 0, 0, 4, 18, 11, 2, 28, 15, 0, 44, 25, 4, 72, 47, 20, 118, 87, 54, 19, 151, 112, 71, 28, 200, 153, 104, 53, 0, 216, 159, 100, 39, 307, 242, 175, 106, 35, 359, 284, 207, 128, 47, 433, 348, 261, 172, 81, 535, 440, 343, 244, 143, 40, 566, 459, 350, 239, 126, 11, 615, 496 ]
[ "easy", "look", "nonn" ]
A201886
[ 1, 63, 765, 26003, 559115, 16513425, 435630965, 12576072219, 355197660509, 10318921933459, 299385686951737, 8776646594694357, 257891661687979330, 7614010950576117000, 225337048658653350000, 6.687122593012509e+21 ]
[ "nonn" ]
A304380
[ 32, 136, 312, 560, 880, 1272, 1736, 2272, 2880, 3560, 4312, 5136, 6032, 7000, 8040, 9152, 10336, 11592, 12920, 14320, 15792, 17336, 18952, 20640, 22400, 24232, 26136, 28112, 30160, 32280, 34472, 36736, 39072, 41480, 43960, 46512, 49136, 51832, 54600, 57440 ]
[ "nonn", "easy" ]
A381165
[ 1, 122, 114126, 169305620, 307902541870, 628881704226972, 1384648756554128600, 3.213280613371692e+21, 7.752574653184355e+24, 1.9272593072633782e+28, 4.906214683120273e+31, 1.273311785609173e+35, 3.3579190692352473e+38 ]
[ "nonn" ]
A022458
[ 0, 2, 1, 3, 1, 5, 7, 9, 13, 9, 11, 9, 15, 17, 15, 21, 19, 27, 23, 25, 33, 33, 31, 33, 33, 31, 35, 43, 51, 51, 29, 45, 39, 53, 49, 51, 53, 53, 55, 55, 61, 69, 57, 63, 67, 69, 65, 53, 55, 65, 81, 85, 89, 85, 85, 81, 79, 89, 89, 91, 95, 91, 77, 87, 101, 105, 89, 87 ]
[ "nonn" ]
A261915
[ 0, 1, 1, 1, 2, 2, 2, -1, 2, 2, 3, 3, 2, 3, 3, -1, 4, 3, 3, 3, 4, 4, 3, -1, 4, 4, 4, 3, -1, 4, 5, -1, 4, 4, 4, 5, 4, 6, 5, -1, 6, 4, 5, 5, 6, 5, 6, -1, 4, 6, 5, 5, 6, 6, 5, -1, 6, 5, 7, 5, -1, 6, 6, -1, 8, 6, 5, 7, 6, 7, 6, -1, 6, 6, 7, 5, 6, 6, 7, -1, 8, 6, 8 ]
[ "sign" ]
A018115
[ 1, 2, 5, 11, 24, 53, 118, 260, 576, 1275, 2822, 6246, 13824, 30598, 67723, 149897, 331776, 734341, 1625364, 3597522, 7962624, 17624184, 39008732, 86340516, 191102976, 422980417, 936209559, 2072172384 ]
[ "nonn" ]
A003679
[ 4, 8, 9, 16, 19, 20, 21, 26, 30, 31, 33, 38, 42, 43, 50, 54, 55, 60, 65, 67, 77, 81, 84, 88, 89, 90, 96, 99, 100, 101, 111, 112, 113, 120, 125, 131, 135, 138, 142, 154, 159, 160, 166, 170, 171, 183, 195, 204, 205, 207, 217, 224, 225, 226, 229, 230, 236, 240, 241 ]
[ "nonn", "easy", "nice" ]
A052354
[ 409, 691, 787, 547, 2053, 139, 4861, 283, 181, 25087, 337, 709, 2917, 829, 14197, 919, 3001, 33589, 2767, 421, 8221, 1879, 5179, 1249, 1471, 10141, 5011, 20533, 4483, 54091, 13249, 4663, 27883, 5869, 41443, 8599, 23311, 9049, 40699, 82591, 3109, 5323, 44917, 11971 ]
[ "nonn" ]
A268545
[ 1, 10, 246, 7540, 255430, 9163980, 341237820, 13042646760, 508236930630, 20101587623260, 804500381097556, 32508382071448920, 1324112273705453600, 54296281503438400000, 2.2392667665963446e+21, 9.280972005480293e+22, 3.863305447624184e+24, 1.6142761926539925e+26 ]
[ "nonn", "easy" ]
A225023
[ 2653, 113261, 1930229, 68599847, 1695172731, 52562324371, 1457105103421, 43215008345605, 1240053913896303, 36294561965670220, 1052106584541297000, 30674878297649040000, 891844038980959200000, 2.5973093782593825e+22 ]
[ "nonn" ]
A193802
[ 3, 6, 9, 29, 36, 43, 50, 68, 79, 90, 101, 112, 123, 138, 153, 168, 183, 198, 213 ]
[ "nonn", "hard", "more", "changed" ]
A054830
[ 2917, 13477, 13907, 14957, 15383, 15391, 21407, 21563, 21871, 28283, 30881, 33211, 35597, 37699, 42227, 42577, 45827, 55667, 64667, 64927, 64937, 68213, 68219, 68903, 68909, 73951, 74209, 78593, 83101, 85523, 87323, 88007, 90917 ]
[ "nonn" ]
A242116
[ 9, 25, 65, 161, 2049, 4609, 22529, 1048577, 44040193, 283467841537, 1202590842881, 2.5606542124610234e+32, 4.259306016766851e+33, 3.566159205331435e+41, 5.772931467457067e+49 ]
[ "nonn", "changed" ]
A248012
[ 2, 3, 2, 5, 8, 7, 2, 3, 32, 11, 8, 13, 128, 243, 2, 17, 8, 19, 32, 2187, 2048, 23, 8, 5, 8192, 3, 128, 29, 1.4134776518227075e+73, 31, 2, 177147, 131072, 78125, 8, 37, 524288, 1594323, 32, 41 ]
[ "nonn" ]
A154775
[ 2, 4, 5, 42, 46, 49, 59, 82, 84, 100, 119, 128, 137, 182, 185, 187, 192, 233, 264, 301, 303, 340, 376, 390, 395, 422, 438, 446, 471, 472, 494, 518, 527, 570, 598, 609, 611, 633, 667, 688, 714, 716, 726, 728, 733, 744, 831, 837, 865, 875, 896, 926, 940, 948 ]
[ "nonn" ]
A336497
[ 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76 ]
[ "nonn" ]
A085769
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 3, 2, 1, 2, 2, 2, 3, 1, 1, 2, 0, 3, 3, 2, 2, 4, 3, 5, 2, 3, 4, 5, 8, 5, 5, 6, 4, 4, 4, 8, 9, 5, 7, 4, 3, 1, 5, 6, 8, 8, 9, 10, 7, 7, 5, 8, 11, 11, 7, 8, 5, 4, 4, 6, 5, 6, 8, 10, 7, 6, 7, 4, 2, 4, 9, 9, 7, 9, 9, 8, 10, 10, 5, 5, 8, 11, 14, 18 ]
[ "nonn", "base" ]
A250833
[ 55, 4131, 1301955, 1751284191, 10042099602523, 245660147951906850, 2.564676240040747e+22, 1.142857848430671e+28 ]
[ "nonn" ]
A238545
[ 1, 2, 3, 4, 7, 9, 14, 18, 27, 35, 50, 63, 89, 112, 152, 192, 256, 319, 419, 521, 672, 834, 1062, 1307, 1652, 2025, 2528, 3089, 3828, 4651, 5726, 6929, 8468, 10214, 12409, 14901, 18018, 21560, 25928, 30928, 37035, 44017, 52500, 62205, 73896, 87310, 103352 ]
[ "nonn", "easy" ]
A280809
[ 0, 1047, 24490, 133067, 521862, 1736603, 5219491, 14672850, 39446188, 102668319, 261032587, 651872767, 1605291205, 3909190755, 9432062891, 22579858190, 53688882185, 126896063565, 298328702932, 698005209403, 1626059718118 ]
[ "nonn" ]
A199396
[ 1, 5, 8, 32, 89, 309, 1392, 2464, 12241, 23685, 66936, 329856, 598377, 2972885, 4204000, 17321536, 47254689, 156943365, 737779176, 1276350496, 6369950073, 12290868597, 35051319632, 175157734688, 319624706161, 1569854375813, 2311734655064, 9333158201280, 25600877525257 ]
[ "nonn" ]
A041448
[ 15, 31, 945, 1921, 58575, 119071, 3630705, 7380481, 225045135, 457470751, 13949167665, 28355806081, 864623350095, 1757602506271, 53592698538225, 108942999582721, 3321882686019855, 6752708371622431, 205903133834692800, 418558976041008000, 12762672415064932000 ]
[ "nonn", "frac", "easy" ]
A188962
[ 1, 2, 2, 6, 24, 6, 24, 720, 720, 24, 78, 24024, 229080, 24024, 78, 230, 570050, 75764664, 75764664, 570050, 230, 675, 12702057, 17316382188, 251096032912, 17316382188, 12702057, 675, 2069, 298167456, 3909049448304, 573780546403024 ]
[ "nonn", "tabl" ]
A301862
[ 5, 8, 6, 6, 3, 6, 2, 9, 2, 4, 3, 9, 1, 7, 7, 7, 6, 1, 9, 4, 3, 0, 3, 1, 9, 9, 1, 3, 5, 7, 6, 5, 2, 4, 3, 0, 5, 9, 4, 2, 3, 0, 2, 7, 0, 0, 1, 3, 9, 4, 9, 7, 0, 5, 4, 4, 7, 3, 5, 5, 9, 1, 3, 0, 6, 8, 7, 6, 6, 1, 3, 5, 7, 3, 8, 9, 2, 1, 9, 3, 6, 3, 1, 1, 3, 5, 6 ]
[ "nonn", "cons" ]
A352000
[ 1, 2, 15, 3, 16, 4, 5, 20, 100, 101, 6, 10, 102, 25, 35, 26, 45, 7, 129, 8, 11, 9, 40, 103, 36, 46, 19, 56, 21, 66, 12, 55, 22, 65, 13, 76, 184, 80, 104, 29, 75, 229, 85, 31, 86, 41, 39, 96, 42, 95, 43, 124, 81, 82, 111, 83, 161, 84, 49, 59, 23, 224, 121, 125, 87, 284, 131, 261, 141, 60, 105, 24, 61, 88 ]
[ "base", "nonn" ]
A052146
[ 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11 ]
[ "nonn", "easy" ]
A320965
[ 16, 81, 144, 324, 400, 625, 784, 1936, 2025, 2401, 2500, 2704, 3600, 3969, 4624, 5625, 5776, 7056, 8100, 8464, 9604, 9801, 13456, 13689, 14641, 15376, 15876, 17424, 19600, 21609, 21904, 22500, 23409, 24336, 26896, 28561, 29241, 29584, 30625, 35344, 39204, 41616, 42849 ]
[ "nonn" ]
A242769
[ 6, 8, 2, 1, 5, 5, 5, 6, 7, 1, 0, 0, 6, 2, 7, 3, 1, 6, 1, 6, 7, 1, 5, 5, 2, 6, 2, 3, 7, 9, 0, 5, 0, 8, 3, 3, 0, 0, 3, 8, 6, 8, 1, 0, 0, 0, 1, 6, 8, 8, 8, 5, 9, 9, 1, 0, 9, 0, 6, 5, 5, 1, 0, 1, 3, 4, 2, 2, 0, 8, 6, 2, 6, 5, 8, 2, 1, 7, 7, 1, 5, 9, 8, 1, 1, 4, 8, 8, 6, 8, 9, 0, 5, 4, 5, 3, 9, 9, 8, 1 ]
[ "nonn", "cons" ]