Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A197309
[ 1, 3, 9, 37, 111, 333, 333667, 1001001, 3003003, 12345679, 37037037, 111111111 ]
[ "nonn", "fini", "full", "easy" ]
A040769
[ 28, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ]
[ "nonn", "cofr", "easy" ]
A301402
[ 4, 32, 252, 1988, 15680, 123676, 975492, 7694176, 60687676, 478672964, 3775524480, 29779382108, 234884346116, 1852646097568, 14612713105788, 115257514423492, 909091592704960, 7170443749899164, 56556747398228860, 446090338036896260 ]
[ "nonn" ]
A089250
[ 5, 3, 6, 3, 7, 1, 4, 8, 7, 5, 7, 0, 1, 9, 1, 5, 4, 5, 0, 6, 8, 4, 8, 6, 5, 5, 0, 5, 4, 9, 1, 7, 2, 4, 0, 0, 6, 3, 1, 9, 3, 8, 1, 5, 1, 1, 5, 9, 7, 3, 2, 7, 0, 4, 2, 1, 9, 6, 1, 6, 6, 7, 1, 4, 5, 2, 9, 0, 3, 8, 6, 2, 8, 4, 0, 8, 4, 2, 0, 1, 1, 0, 8, 4, 0, 2, 5, 6, 0, 4, 7, 5, 6, 4, 3, 3, 9, 2, 8, 9, 1, 0, 4, 3, 6 ]
[ "base", "easy", "nonn" ]
A007949
[ 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 3, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 4, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1 ]
[ "nonn", "easy" ]
A027558
[ 0, 0, 0, 0, 2, 6, 20, 50, 126, 288, 654, 1422, 3068, 6474, 13574, 28112, 57942, 118566, 241788, 490914, 994334, 2008512, 4050398, 8154014, 16396668, 32935194, 66104982, 132586416, 265792070, 532579830, 1066790972 ]
[ "nonn" ]
A141517
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 47, 1, 1, 1, 1, 1, 1, 1, 1, 1, 23, 1, 71, 73, 1, 1, 1, 5, 1, 7, 431, 1, 1, 1, 1, 97, 1, 1, 1, 1, 1, 1, 23, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 47, 1, 1, 1, 1, 1, 601, 1, 23, 1, 1, 5, 1, 1, 167, 7, 1, 431, 1, 1, 1, 1, 1, 1, 1, 1, 191, 193, 1 ]
[ "nonn" ]
A069737
[ 1320, 3696, 5520, 13800, 19872, 22560, 23688, 87000, 89964, 366720, 785808, 1235052, 1470720, 8690112, 45986616, 46862592, 78584640, 142588224, 231718968, 235668528, 377425920, 1598249952, 9518204448, 12026499072, 40964894160, 65368504980 ]
[ "nonn" ]
A205922
[ 9144, 104311, 583542, 7177505, 40724536, 535691452, 3047588270, 42247423238, 240169745414, 3447138724818, 19567338424076, 286774605083392, 1625846521511432, 24111794299224170, 136592525133890110 ]
[ "nonn" ]
A380780
[ 1, 3, 27, 436, 10353, 326856, 12920731, 614694816, 34223383809, 2184028353280, 157223422977531, 12606338448248832, 1114292924502666600, 107657947282494210000, 1.1287975339133864e+22, 1.276603658863119e+24, 1.5490972170796335e+26, 2.00766691492682e+28 ]
[ "nonn" ]
A306562
[ 1, 3, 0, -4, 1, 7, 14, 6, -3, -13, -24, -12, 1, 15, 30, 46, 29, 11, -8, -28, -49, -71, -48, -24, 1, 27, 54, 82, 111, 81, 50, 18, -15, -49, -84, -120, -157, -119, -80, -40, 1, 43, 86, 130, 175, 221, 174, 126, 77, 27, -24, -76, -129, -183, -238, -294, -237, -179 ]
[ "sign", "look" ]
A222037
[ 2, 4, 8, 14, 24, 40, 66, 108, 176, 286, 464, 752, 1218, 1972, 3192, 5165, 8356, 13518, 21870, 35385, 57254, 92639, 149893, 242533, 392432, 634981, 1027441, 1662459, 2689940, 4352434, 7042388, 11394779, 18436993, 29831336, 48267423, 78097061 ]
[ "nonn" ]
A136029
[ 1, 1, 1, 3, 7, 15, 33, 75, 171, 391, 899, 2077, 4815, 11195, 26097, 60975, 142751, 334791, 786419, 1849905, 4357121, 10274313, 24252923, 57305241, 135521807, 320758587, 759757139, 1800838381, 4271267043, 10136815015, 24070870545 ]
[ "easy", "nonn" ]
A256230
[ 0, 1, 2, 3, 5, 6, 9, 18, 21, 30, 33, 36, 78, 81, 96, 105, 138, 141, 156, 165, 198, 210, 228, 261, 270, 273, 306, 330, 336, 345, 366, 378, 393, 438, 453, 498, 525, 546, 561, 576, 585, 600, 606, 618, 660, 690, 726, 765, 810, 828, 861, 876, 933, 936, 966, 996, 1005, 1008 ]
[ "nonn" ]
A226099
[ 12, 13, 15, 17, 22, 23, 25, 27, 32, 33, 35, 37, 42, 43, 45, 47, 52, 53, 55, 57, 62, 63, 65, 67, 72, 73, 75, 77, 82, 83, 85, 87, 92, 93, 95, 97, 102, 103, 105, 107, 111, 113, 117, 119, 123, 129, 131, 137, 141, 143, 147, 153, 159, 161, 167, 171, 173, 179, 183, 189, 197, 202, 203, 205, 207, 211, 213, 217 ]
[ "nonn", "base", "easy" ]
A287633
[ 1, 0, 4, 0, 0, 0, 96, 0, 288, 0, 0, 0, 6400, 0, 28672, 0, 104448, 0, 460800, 0, 1585152, 0, 6520832, 0, 29868032, 0, 101580800, 0, 478085120, 0, 1626865664, 0, 7649492992, 0, 26029850624, 0, 122373013504, 0, 416553107456, 0, 1957984993280, 0, 6664950382592 ]
[ "nonn", "easy" ]
A105014
[ 269005729, 290863679, 473802661, 527835169, 706754921, 754921967, 801087773, 835844717, 717445879, 796098493, 849365327, 327965863, 991013741, 984449143, 143096677, 136716319, 128763773, 377314703, 833162821, 294047891, 654433627 ]
[ "nonn", "base" ]
A299657
[ 8, 128, 1642, 22087, 297071, 4001253, 53909088, 726363190, 9787119222, 131873695060, 1776895917925, 23942305066780, 322604164546039, 4346843339949429, 58570375761901840, 789190834365996800 ]
[ "nonn" ]
A032593
[ 2, 181, 373, 787, 919, 10501, 11311, 12721, 13831, 15451, 16561, 19891, 30103, 30703, 32323, 35053, 38083, 70507, 77377, 78787, 93139, 94849, 1092901, 1177711, 1242421, 1280821, 1286821, 1327231, 1362631, 1411141, 1463641, 1489841, 1550551 ]
[ "nonn", "base" ]
A089840
[ 0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 7, 3, 2, 1, 0, 6, 8, 4, 3, 2, 1, 0, 7, 6, 6, 5, 3, 2, 1, 0, 8, 4, 5, 4, 5, 3, 2, 1, 0, 9, 5, 7, 6, 6, 6, 3, 2, 1, 0, 10, 17, 8, 7, 4, 5, 6, 3, 2, 1, 0, 11, 18, 9, 8, 7, 4, 4, 4, 3, 2, 1, 0, 12, 20, 10, 12, 8, 7, 5, 5, 4, 3, 2, 1, 0, 13, 21, 14, 13, 12, 8, 7, 6 ]
[ "nonn", "tabl" ]
A020561
[ 1, 2, 17, 252, 5535, 165278, 6355147, 303080956, 17440307953, 1185613611362, 93640428880873, 8476453909912332, 869565923845396200, 100138764123162260000, 1.2840593975018953e+22, 1.8205317663013085e+24, 2.836436683537346e+26 ]
[ "nonn" ]
A238780
[ 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 2, 5, 4, 7, 5, 10, 8, 14, 11, 20, 16, 26, 21, 37, 31, 48, 40, 65, 55, 85, 72, 113, 97, 145, 125, 190, 165, 242, 211, 313, 274, 396, 348, 505, 446, 633, 561, 801, 713, 998, 890, 1249, 1118, 1548, 1389, 1922, 1730 ]
[ "nonn", "easy" ]
A298880
[ 0, 2, 4, 8, 14, 26, 40, 58, 84, 114, 148, 194, 242, 306, 370, 454, 532, 624, 736, 848, 986, 1120, 1274, 1438, 1618, 1800, 1994, 2220, 2446, 2700, 2950, 3222, 3526, 3830, 4142, 4516, 4832, 5214, 5590, 6020, 6440, 6860, 7356, 7830, 8336, 8816, 9420, 9934, 10532, 11118, 11740, 12396, 13022, 13702 ]
[ "nonn" ]
A167389
[ 2, 3, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 62, 64, 65, 67, 68, 70, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 98, 100, 101 ]
[ "nonn", "uned" ]
A000477
[ 0, 1, 15, 76, 275, 720, 1666, 3440, 6129, 11250, 17545, 28896, 41405, 65072, 85950, 128960, 162996, 238545, 286995, 404600, 482160, 662112, 756470, 1042560, 1150625, 1549730, 1732590, 2257920, 2443105, 3250800, 3421160, 4452096, 4791600, 6039522, 6296500 ]
[ "nonn" ]
A096823
[ 6, 20, 12, 1.511157274499045e+23, 56, 40, 24, 272, 1504, 208, 176, 1312, 112, 80, 48, 6208, 992, 928, 2059264, 5696, 736, 144115176533131260, 608, 544, 5056, 416, 352, 4672, 224, 160, 96, 24704, 24448, 3904, 3776, 487936, 112384, 3392, 22912 ]
[ "nonn" ]
A113903
[ 0, 0, 2, 4, 6, 8, 10, 12, 15, 17, 19, 21, 24, 26, 28, 30, 34, 36, 39, 41, 44, 46, 48, 50, 54, 56, 58, 61, 64, 66, 69, 71, 76, 78, 80, 82, 86, 88, 90, 92, 96, 98, 101, 103, 106, 109, 111, 113, 118, 120, 123, 125, 128, 130, 134, 136, 140, 142, 144, 146, 150, 152, 154, 157 ]
[ "easy", "nonn" ]
A208384
[ 1, 1, 0, -2, -3, 0, -4, -2, 0, 6, 12, 0, 8, -4, 0, 4, -9, 0, -16, 6, 0, -24, -12, 0, 7, 8, 0, 8, 3, 0, 44, 4, 0, 18, 12, 0, -34, -16, 0, -12, 33, 0, -40, -24, 0, 24, -60, 0, -33, 7, 0, -16, 27, 0, 72, 8, 0, -6, 24, 0, 50, 44, 0, -8, -24, 0, 8, 18, 0, -24 ]
[ "sign" ]
A288655
[ 7, 13, 22, 28, 29, 49, 53, 70, 124, 151, 287, 394, 400, 946, 979, 1270, 3857, 3944, 5435, 9125, 9589, 49711, 51091, 56849 ]
[ "nonn", "more", "hard" ]
A058081
[ 1, 2, 6, 19, 42, 142, 223, 326, 496, 715, 1000, 1394, 9958, 10626, 12033, 12597, 13805, 14816, 20158, 21264, 37088, 41875, 45425, 47766, 49571, 327635, 330187, 332469, 341477, 344570, 450050, 457785, 460921, 463931, 469795, 473848, 479976 ]
[ "nonn" ]
A309953
[ 0, 1, 2, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 4, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 0, 4, 8, 0, 0, 0, 0, 4, 8, 0, 8, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ "nonn", "base", "look" ]
A351334
[ 1, -1, 7, -139, 5227, -317491, 28352347, -3495615859, 568791063547, -118065959980051, 30445266606199388, -9547490385298102000, 3.5780147496359035e+21, -1.5791933849815442e+24, 8.107529668315816e+26, -4.7904943874242044e+29 ]
[ "sign" ]
A328959
[ -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, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ "sign" ]
A028748
[ 2, 3, 5, 6, 7, 8, 10, 12, 13, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 31, 32, 33, 34 ]
[ "nonn", "fini", "full" ]
A160508
[ 503, 87, 512, 61, 908, 170, 897, 275, 653, 426, 154, 509, 612, 677, 765, 703 ]
[ "fini", "full", "nonn" ]
A120339
[ 30, 195, 870, 1326, 9078, 29406, 37830, 62211, 188355, 426390, 998790, 1756950, 2922510, 8430270, 20031171, 33929310, 41996670, 57206526, 82401006, 137295678, 216148803, 941038566, 1152597606, 1418915886, 1879906755, 2668548675, 3870146310, 6449974275, 9365063430, 18263765550, 39154389150, 44208781350 ]
[ "nonn" ]
A387883
[ 1, 2, 14, 41, 82, 137, 206, 289, 386, 497, 622, 761, 914, 1081, 1262, 1457, 1666, 1889, 2126, 2377, 2642, 2921, 3214, 3521, 3842, 4177, 4526, 4889, 5266, 5657, 6062, 6481, 6914, 7361, 7822, 8297, 8786, 9289, 9806, 10337, 10882, 11441, 12014, 12601, 13202, 13817, 14446, 15089, 15746, 16417, 17102 ]
[ "nonn", "easy" ]
A032604
[ 12, 33, 75, 97, 1311, 1513, 2117, 2519, 3123, 3329, 3731, 4337, 4941, 5143, 6347, 6753, 6959, 7361, 7567, 7971, 8773, 9379, 9983, 10589, 11197, 115101, 127103, 129107, 133109, 135113, 141127, 151131, 159137, 163139, 169149, 171151, 189157 ]
[ "nonn", "base" ]
A236964
[ 1, 4, 34, 412, 6333, 116768, 2498414, 60678776, 1646370324, 49304407416, 1614242231610, 57334041759484, 2194946060935833, 90082535627196860, 3944898781246389000, 183589807833908840000, 9.047581726126773e+21, 4.706715149687678e+23 ]
[ "nonn" ]
A178776
[ 4, 4, 12, 12, 24, 36, 40, 40, 72, 72, 84, 120, 144, 144, 180, 180, 240, 252, 252, 252, 360, 400, 400, 432, 504, 504, 600, 600, 672, 672, 672, 840, 900, 900, 900, 936, 1120, 1120, 1260, 1260, 1320, 1440, 1440, 1440, 1680, 1764, 1800, 1800, 1872, 1872 ]
[ "nonn" ]
A166858
[ 1, 4, 12, 36, 108, 324, 972, 2916, 8748, 26244, 78732, 236196, 708588, 2125758, 6377256, 19131720, 57395016, 172184616, 516552552, 1549653768, 4648949640, 13946813928, 41840336808, 125520695496, 376561141704, 1129680590760 ]
[ "nonn" ]
A031565
[ 4491, 4499, 4507, 4519, 4523, 4539, 4547, 4567, 4579, 4583, 4587, 4591, 4603, 4639, 4643, 4651, 4659, 4663, 4679, 4691, 4703, 4707, 4723, 4731, 4751, 4759, 17960, 17992, 18016, 18048, 18056, 18080, 18112, 18152, 18208, 18272, 18280, 18304, 18344, 18376 ]
[ "nonn" ]
A044083
[ 6, 30, 56, 81, 106, 131, 150, 181, 206, 231, 256, 280, 306, 331, 356, 381, 405, 431, 456, 481, 506, 530, 556, 581, 606, 631, 655, 681, 706, 731, 750, 881, 905, 931, 956, 981, 1006, 1030, 1056, 1081, 1106, 1131, 1155, 1181, 1206, 1231, 1256, 1280, 1306, 1331, 1356, 1381, 1400 ]
[ "nonn", "base" ]
A155027
[ 7, 10, 18, 26, 36, 48, 60, 76, 90, 106, 120, 130, 140, 160, 170, 192, 204, 252, 274, 322, 364, 414, 466, 512, 550, 554, 628, 632, 706, 750, 798, 862, 902, 928, 950, 970, 1008, 1072, 1114, 1228, 1276, 1488, 1522, 1682, 1702, 1806, 2350, 2442, 3094, 3098, 3244 ]
[ "nonn", "less" ]
A179249
[ 4180, 5777, 6387, 6620, 6709, 6743, 6756, 6761, 6763, 6764, 8361, 8971, 9204, 9293, 9327, 9340, 9345, 9347, 9348, 9958, 10191, 10280, 10314, 10327, 10332, 10334, 10335, 10568, 10657, 10691, 10704, 10709, 10711, 10712, 10801, 10835, 10848 ]
[ "nonn" ]
A355447
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1 ]
[ "nonn" ]
A184711
[ 12, 215, 1901, 11071, 48701, 175410, 543050, 1493647, 3734127, 8629470, 18668476, 38179126, 74385462, 138932619, 250023457, 435361212, 736109581, 1212153012, 1948954846, 3066408954, 4730088166, 7165425434, 10675359121, 15662148169 ]
[ "nonn" ]
A125659
[ 1, 1, 3, 13, 79, 631, 6171, 70974, 934493, 13812955, 225892738, 4041653903, 78416804094, 1638071535998, 36622481352509, 871920455890863, 22011856296991520, 587044908015897500, 16485592791887247000 ]
[ "nonn" ]
A204124
[ 1, -1, -3, -2, 1, -1, 11, 3, -1, 6, -6, -29, -4, 1, 1, -13, 8, 56, 5, -1, -1, -6, 71, -46, -102, -6, 1, 0, 4, 8, -128, 73, 161, 7, -1, 1, -4, -76, 126, 322, -164, -245, -8, 1, 1, -33, 63, 285, -295, -629, 277, 351, 9, -1, -4, 22, 121, -256, -722, 662 ]
[ "tabf", "sign" ]
A229528
[ 0, 4, 58, 3064, 221096, 34811238, 10551803060, 6668992563052, 8651918812282962, 23339962598582950000, 1.3197744201845406e+23, 1.555694872005637e+27, 3.877916860736417e+31 ]
[ "nonn" ]
A208345
[ 1, 0, 3, 0, 1, 7, 0, 1, 3, 17, 0, 1, 3, 10, 41, 0, 1, 3, 11, 30, 99, 0, 1, 3, 12, 35, 87, 239, 0, 1, 3, 13, 40, 108, 245, 577, 0, 1, 3, 14, 45, 130, 322, 676, 1393, 0, 1, 3, 15, 50, 153, 406, 938, 1836, 3363, 0, 1, 3, 16, 55, 177, 497, 1236, 2682, 4925, 8119, 0, 1 ]
[ "nonn", "tabl" ]
A070525
[ 2, 3, 4, 6, 7, 8, 12, 18, 21, 30, 45, 48, 70, 120, 127, 153, 182, 204, 212, 282, 318, 322, 910, 1167, 1177, 1342, 1680, 1963, 2670, 4398, 4655, 8088, 8599, 8808, 19680 ]
[ "nonn", "more" ]
A084285
[ 1, 1, 4, 38, 728, 26703, 1865842, 251349147, 66151135747, 34319358639795, 35257449916868364 ]
[ "nonn", "more" ]
A197490
[ 5, 6, 4, 4, 2, 5, 4, 7, 6, 0, 6, 2, 6, 5, 9, 0, 9, 9, 3, 8, 4, 0, 0, 3, 2, 2, 8, 9, 3, 7, 7, 8, 8, 2, 9, 7, 6, 7, 7, 4, 9, 8, 5, 5, 2, 8, 2, 2, 8, 6, 1, 8, 0, 6, 1, 3, 5, 9, 1, 0, 5, 4, 9, 2, 1, 7, 4, 1, 1, 0, 3, 1, 7, 3, 3, 4, 6, 2, 5, 7, 9, 7, 5, 7, 0, 3, 5, 6, 1, 7, 0, 5, 0, 5, 5, 0, 4, 2, 9 ]
[ "nonn", "cons" ]
A339225
[ 1, 2, 4, 11, 30, 98, 328, 1193, 4459, 17287, 68283, 274726, 1118960, 4607578, 19135274, 80063095, 337104367, 1427274619, 6072510001, 25949049372, 111319539096, 479243000380, 2069825207344, 8965693829582, 38940393808337, 169546919220357, 739895248735963 ]
[ "nonn" ]
A231055
[ 0, 186, 103042, 2150784, 142466422, 17477913984, 1729680196768, 158221269380622, 14887507767060602, 1416719151612712000, 134288584880419540000, 1.2708181576270666e+22, 1.2033105238956745e+24 ]
[ "nonn" ]
A088630
[ 1, 3, 7, 9, 11, 17, 23, 31, 37, 39, 43, 51, 53, 67, 71, 73, 77, 89, 97, 101, 107, 137, 143, 159, 177, 183, 199, 209, 211, 217, 221, 231, 233, 237, 243, 247, 249, 277, 281, 283, 299, 303, 311, 313, 319, 323, 331, 363, 377, 381, 401, 417, 423, 449, 453, 481, 489 ]
[ "base", "nonn" ]
A230833
[ 0, 1, 9, 20, 89, 177, 273, 374, 485, 666, 1275, 1894, 2583, 3391, 4209, 5097, 6003, 6919, 7905, 8906, 10017, 11708, 13589, 15550, 21559, 27678, 34377, 41266, 48235, 56243, 64361, 73059, 81947, 90915, 99921, 109037 ]
[ "nonn", "base", "easy" ]
A018633
[ 1, 2, 4, 191, 382, 764 ]
[ "nonn", "fini", "full", "easy" ]
A145857
[ 1, 2, 5, 12, 72, 513, 4531, 68662, 1429824, 40840428, 1747979822, 106711196102, 9237029528023, 1158315077977449, 208422835867809540, 53674442198900290000, 1.9878424340459715e+22, 1.056964347895236e+25 ]
[ "nonn" ]
A325002
[ 1, 2, 1, 2, 2, 1, 3, 3, 2, 1, 4, 6, 4, 2, 1, 5, 10, 10, 5, 2, 1, 6, 15, 20, 15, 6, 2, 1, 7, 21, 35, 35, 21, 7, 2, 1, 8, 28, 56, 70, 56, 28, 8, 2, 1, 9, 36, 84, 126, 126, 84, 36, 9, 2, 1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 2, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 2 ]
[ "nonn", "tabf" ]
A145733
[ 1, 2, 3, 4, 6, 9, 10, 11, 12, 16, 18 ]
[ "nonn", "base" ]
A218261
[ 1, 1, 3, 19, 191, 2731, 52063, 1264747, 37912143, 1368247627, 58312623743, 2889264152875, 164299982895535, 10607439707069324, 770371122097072900, 62438253016068930000, 5.608567981763103e+21, 5.5495283421435066e+23, 6.016115310635824e+25 ]
[ "nonn" ]
A304097
[ 1, 2, 3, 2, 3, 2, 3, 2, 4, 5, 4, 6, 7, 2, 4, 5, 4, 5, 4, 6, 3, 5, 8, 5, 9, 4, 6, 7, 5, 10, 11, 10, 12, 2, 4, 5, 4, 5, 4, 5, 4, 11, 13, 11, 10, 14, 4, 11, 13, 11, 13, 11, 10, 5, 13, 15, 13, 16, 11, 10, 14, 13, 12, 17, 12, 2, 4, 11, 4, 5, 4, 5, 3, 5, 10, 6, 7, 9, 3, 5, 13, 5, 8, 5, 10, 6, 10, 14, 7, 16, 11, 13, 14, 13, 18, 2, 4, 5, 4, 5, 4, 5, 4, 11, 13, 11 ]
[ "nonn" ]
A171479
[ 1, 8, 43, 197, 841, 3473, 14113, 56897, 228481, 915713, 3666433, 14672897, 58705921, 234852353, 939466753, 3757981697, 15032156161, 60129083393, 240517251073, 962070839297, 3848287027201, 15393155448833, 61572636475393 ]
[ "nonn", "easy" ]
A320648
[ 0, 0, 1, 1, 2, 11, 26, 122, 781 ]
[ "nonn", "more" ]
A260972
[ 48, 133, 372, 1513, 4592, 18706, 45504, 195280, 441072, 2093846, 4057280, 20962048, 38827984, 225849174, 367470344, 2376475916, 3621888816, 26598528246, 37810953848, 300880005340, 400697050360 ]
[ "nonn" ]
A014163
[ 1, -1, 1, -1, 1, -1, 1, 0, 0, 0, 0, 1, -1, 1, -1, 1, -1, 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, 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, 0, 0, 0, 0, 0, 0, 0, -1, 1, -1, 1 ]
[ "sign", "easy" ]
A325385
[ 1, 1, 1, 1, 1, 6, 1, 1, 5, 2, 1, 4, 1, 2, 3, 1, 1, 3, 1, 2, 1, 2, 1, 12, 19, 2, 1, 4, 1, 6, 1, 1, 3, 2, 1, 1, 1, 2, 1, 2, 1, 6, 1, 4, 3, 2, 1, 4, 41, 1, 3, 2, 1, 6, 1, 8, 1, 2, 1, 12, 1, 2, 1, 1, 1, 6, 1, 2, 3, 2, 1, 3, 1, 2, 1, 4, 1, 6, 1, 2, 1, 2, 1, 4, 1, 2, 3, 4, 1, 18, 7, 4, 1, 2, 5, 12, 1, 1, 3, 1, 1, 6, 1, 2, 3 ]
[ "nonn" ]
A256915
[ 1, 1, 1, 1, 1, 2, 2, 2, 3, 1, 2, 2, 2, 2, 3, 3, 1, 2, 2, 2, 2, 3, 3, 3, 4, 1, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 1, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 1, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 1, 2, 2, 2, 2, 3, 3, 3, 4, 2, 3, 3, 3, 3, 4, 4, 2, 1, 2, 2, 2, 2 ]
[ "nonn", "easy" ]
A316635
[ 0, 7, 43, 524, 14568, 684269, 69857903, 14106315869, 5489873419154 ]
[ "nonn" ]
A046171
[ 1, 2, 5, 13, 36, 98, 272, 740, 2034, 5513, 15037, 40617, 110188, 296806, 802075, 2155667, 5808335, 15582342, 41889578, 112212146, 301100754, 805570061, 2158326727, 5768299665, 15435169364, 41214098278, 110164686454 ]
[ "nonn", "walk", "easy", "nice" ]
A357597
[ 3, 8, 2, 9, 3, 8, 7, 5, 2, 6, 4, 9, 1, 4, 7, 5, 1, 2, 5, 9, 3, 5, 7, 1, 8, 5, 1, 9, 6, 4, 7, 3, 1, 6, 4, 8, 4, 8, 0, 9, 9, 1, 6, 8, 2, 4, 7, 2, 3, 2, 5, 5, 2, 9, 3, 1, 3, 0, 9, 5, 8, 0, 8, 4, 6, 9, 2, 5, 6, 2, 7, 7, 5, 3, 2, 2, 3, 4, 6, 3, 1, 8, 3, 4, 5, 3, 7, 0, 0, 6, 2, 8, 4, 7, 3, 8, 1, 4, 0, 3, 5, 0, 4, 7, 0 ]
[ "cons", "nonn" ]
A140633
[ 7, 103, 127, 223, 367, 463, 487, 607, 727, 823, 967, 1063, 1087, 1303, 1327, 1423, 1447, 1543, 1567, 1663, 1783, 2143, 2287, 2383, 2503, 2647, 2767, 2887, 3343, 3463, 3583, 3607, 3727, 3823, 3847, 3943, 3967, 4327, 4423, 4447, 4567, 4663 ]
[ "nonn", "easy" ]
A320953
[ 1, 2, 6, 6, 4, 5, 0, 2, 1, 4, 5, 7, 8, 6, 5, 1, 6, 1, 3, 7, 7, 8, 7, 7, 2, 9, 2, 9, 0, 1, 0, 2, 5, 9, 2, 3, 7, 2, 3, 6, 9, 6, 6, 5, 4, 5, 0, 5, 4, 7, 5, 3, 3, 0, 0, 5, 5, 8, 0, 9, 9, 3, 0, 5, 3, 6, 2, 4, 2, 7, 2, 1, 8, 4, 8, 0, 1, 3, 5, 4, 9, 7, 3, 5, 7, 8, 0, 1, 7, 7, 2, 1, 1, 6, 1, 0, 9, 3, 9, 0, 2, 8, 3, 1, 8, 6, 8, 3, 7, 3, 3, 5, 2, 6, 0, 7, 3, 3, 1, 2, 1, 7, 1, 2, 1, 6, 3, 0, 5, 4, 5, 0, 1, 0, 1, 8, 7, 4, 2, 6, 4, 6, 5, 8, 3, 7, 9, 0, 6, 4 ]
[ "nonn", "cons" ]
A313993
[ 1, 5, 11, 14, 17, 24, 30, 34, 39, 42, 45, 53, 60, 63, 67, 70, 73, 82, 90, 92, 95, 98, 101, 111, 120, 121, 123, 126, 129, 140, 150, 150, 151, 154, 157, 169, 180, 179, 179, 182, 185, 198, 210, 208, 207, 210, 213, 227, 240, 237 ]
[ "nonn" ]
A298325
[ 1, 104, 283, 1998, 17984, 170318, 1664958, 16189372, 158726938, 1564115446, 15395307603, 151705067216, 1495108625927, 14736145620695, 145255235253703, 1431813437909172, 14113964201658880, 139128066125151340 ]
[ "nonn" ]
A331974
[ 2, 6, 8, 17, 21, 37, 49, 55, 67, 79, 85, 91, 121, 151, 175, 181, 211, 295, 301, 361, 391, 421, 481, 511, 571, 631, 781, 841, 991, 1051, 1231, 1261, 1471, 1561, 1651, 1681, 1891, 2101, 2311, 2731, 3151, 3361, 3571, 3991, 4201, 4291, 4411, 4621, 5251, 5461, 6091 ]
[ "nonn" ]
A272489
[ 5, 6, 3, 4, 6, 5, 1, 1, 3, 6, 8, 2, 8, 5, 9, 3, 9, 5, 4, 2, 2, 8, 3, 5, 8, 3, 0, 6, 9, 3, 2, 3, 3, 7, 9, 8, 0, 7, 1, 5, 5, 5, 7, 9, 7, 9, 4, 6, 5, 3, 3, 7, 4, 3, 6, 6, 2, 1, 6, 0, 6, 1, 2, 1, 7, 5, 6, 9, 7, 5, 9, 7, 0, 3, 8, 0, 5, 8, 3, 3, 6, 2, 4, 6, 9, 3, 5, 2, 3, 6, 9, 0, 3, 7, 7, 3, 0, 9, 9, 9, 3, 5, 9, 8, 8 ]
[ "nonn", "cons", "easy" ]
A215884
[ 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 1, 1, 1, 1, 0, 3 ]
[ "nonn", "base" ]
A350414
[ 1, 2, 4, 8, 16, 21, 20, 18, 25, 28, 34, 35, 37, 41, 38, 43, 42, 40, 36, 39, 45, 46, 48, 52, 49, 54, 53, 51, 47, 50, 45, 46, 48, 52, 49, 54, 53, 51, 47, 50, 45, 46, 48, 52, 49, 54, 53, 51, 47, 50, 45, 46, 48, 52, 49, 54, 53, 51, 47, 50, 45, 46, 48, 52, 49, 54, 53, 51, 47, 50, 45 ]
[ "nonn", "base" ]
A151071
[ 1, 3, 10, 39, 161, 688, 3030, 13679, 62583, 289432, 1352823, 6371322, 30171367, 143636119, 686989470, 3297242248, 15873914485, 76644248698, 370959805872, 1799101070446, 8742006194463, 42551408510633, 207421894977486, 1012449506176614, 4948029015857372, 24208750550937740, 118561279931909500 ]
[ "nonn", "walk" ]
A371232
[ 1, 0, 2, 3, 176, 1050, 57144, 744660, 41682304, 917959392, 54654865920, 1761420386880, 113338947830976, 4879197834619680, 341937322823859840, 18486700938579444000, 1.415296984669096e+21, 9.201765891905317e+22, 7.695907229874069e+24 ]
[ "nonn" ]
A345953
[ 1, 1, 1, 5, 9, 15, 37, 75, 145, 311, 641, 1295, 2689, 5543, 11345, 23383, 48145, 98903, 203521, 418791, 861169, 1771543, 3644513, 7496231, 15419985, 31720375, 65248385, 134217351, 276091313, 567924823, 1168234977, 2403096999, 4943230993, 10168353527, 20916591169 ]
[ "nonn", "easy" ]
A371712
[ 1, 2, 6, 20, 74, 292, 1204, 5112, 22182, 97964, 439252, 1995864, 9175108, 42610024, 199643240, 942605936, 4480195078, 21417889996, 102907803268, 496639331384, 2406182074924, 11698276321976, 57051240809688, 279016001376400, 1368066809205340, 6723746064317432, 33118248167688264 ]
[ "nonn" ]
A274822
[ 1, 7, 66 ]
[ "nonn", "hard", "bref", "more" ]
A239132
[ 1, 2, 3, 4, 5, 6, 6, 1, 5, 2, 4, 3, 3, 6, 4, 1, 2, 5, 5, 3, 2, 6, 1, 4, 4, 5, 1, 3, 6, 2, 2, 4, 6, 5, 3, 1 ]
[ "nonn", "full", "fini" ]
A231992
[ 6, 32, 156, 800, 4000, 20228, 101808, 513400, 2586980, 13039568, 65717568, 331222548, 1669362032, 8413644600, 42404958708, 213722166160, 1077165216736, 5428941217444, 27362005944240, 137905229697144, 695045979384260 ]
[ "nonn" ]
A228475
[ 5, 1, 6, 5, 8, 7, 7, 2, 2, 1, 5, 4, 0, 5, 2, 6, 4, 7, 1, 2, 5, 3, 2, 9, 8, 8, 0, 7, 7, 4, 8, 5, 0, 5, 2, 4, 7, 8, 6, 3, 8, 5, 8, 8, 8, 8, 3, 4, 7, 7, 7, 5, 6, 9, 9, 3, 4, 9, 2, 7, 5, 8, 3, 1, 4, 9, 6, 6, 2, 6, 7, 5, 5, 1, 9, 2, 9, 4, 5, 0, 4, 9, 8 ]
[ "nonn", "cons" ]
A379783
[ 3, 7, 19, 42, 116, 292, 791, 2085, 5692, 15482, 42709, 118272, 329891, 923905, 2600458, 7344965, 20818129 ]
[ "nonn", "more" ]
A083644
[ 762, 763, 19446, 56988, 161862, 193034, 193035, 220568, 456189, 626757, 1104484, 1143176, 1200370, 1240405, 1437382, 1500808, 1532245, 1593224, 1623041, 1681741, 1722776, 1722777, 1722778, 1985813, 1985814, 2280176, 2474024 ]
[ "base", "nonn" ]
A080933
[ 33, 49, 26, 15, 30, 19, 44, 13, 38, 50, 54, 58, 44, 46, 25, 20, 45, 10, 13, 84, 38, 15, 71, 33, 35, 89, 31, 16, 58, 10, 52, 26, 15, 14, 33, 14, 15, 32, 34, 34, 25, 28, 25, 16, 39, 26, 16, 25, 36, 40, 16, 31, 33, 28, 15, 55, 15, 22, 31, 33, 15, 21, 49, 51, 28 ]
[ "nonn" ]
A322693
[ 98422632, 98724000, 99373500, 100693920, 101356380, 111298770, 114002850, 306564000, 312681120, 314675820, 335624850, 345611970, 353938650, 354008850, 378502560, 387919200, 390471300, 399564396, 402010740, 428530050, 428773950, 620451360, 650334048, 650695584, 654615840, 654976476, 661275384, 691042044 ]
[ "nonn", "tabf" ]
A317106
[ 1, 27, 13, 5, 11, 7, 15, 9, 19, 3, 17, 33, 55, 85, 25, 29, 51, 47, 21, 39, 63, 95, 57, 87, 125, 49, 23, 41, 67, 35, 59, 89, 53, 31, 61, 37, 69, 43, 77, 113, 71, 45, 73, 107, 149, 101, 141, 189, 135, 181, 129, 91, 137, 97, 65, 105, 147, 99, 139, 93, 131, 177, 231 ]
[ "nonn", "fini", "full" ]
A202519
[ 1, 1, 7, 27, 165, 877, 5451, 32887, 210505, 1347865, 8859695, 58647219, 393704205, 2662542565, 18166847507, 124738843247, 861922384657, 5986483380145, 41780493605719, 292817777533259, 2060138522838645, 14544377538584924, 103007560370361700, 731635362026777900 ]
[ "nonn" ]
A064910
[ 4, 6, 15, 65, 77, 133, 91, 319, 209, 341, 299, 481, 493, 799, 527, 1007, 1139, 2449, 703, 3611, 989, 1541, 1643, 3589, 1537, 2407, 2747, 2759, 1829, 3811, 1891, 4633, 2993, 3959, 2627, 4033, 2701, 6157, 3239, 9073, 3569, 5461, 4183, 6439, 5141, 6533 ]
[ "nonn" ]
A078547
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 14, 0, 32, 102, 54, 152, 0, 21, 0, 115, 0, 25, 52, 351, 28, 493, 0, 62, 64, 0, 170, 70, 0, 740, 418, 78, 0, 123, 42, 473, 0, 135, 230, 1269, 0, 1715, 0, 204, 208, 742, 486, 0, 784, 1938, 1102, 2596, 0, 305, 124, 63, 128, 325, 0 ]
[ "nonn", "base" ]
A316122
[ 1, 99, 391, 2524, 26626, 283238, 2525039, 25192165, 261795432, 2591075341, 26052154653, 265234758788, 2677888952446, 27053428148437, 274176126652529, 2775782288833705, 28090747792390256, 284466556842037220 ]
[ "nonn" ]
A020729
[ 2, 10, 50, 250, 1250, 6250, 31250, 156250, 781250, 3906250, 19531250, 97656250, 488281250, 2441406250, 12207031250, 61035156250, 305175781250, 1525878906250, 7629394531250, 38146972656250, 190734863281250, 953674316406250, 4768371582031250, 23841857910156250 ]
[ "nonn", "easy" ]
A021754
[ 1, 17, 190, 1770, 14931, 118587, 905920, 6742340, 49288261, 355826757, 2546230050, 18106416510, 128181315991, 904540692527, 6368500164580, 44764509392280, 314282333570121, 2204653080603897, 15456046918261510, 108310071701877650, 758760684298882700 ]
[ "nonn", "easy" ]