Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A131240
[ 1, 2, 1, 2, 2, 1, 2, 4, 2, 1, 2, 4, 6, 2, 1, 2, 6, 6, 8, 2, 1, 2, 6, 12, 8, 10, 2, 1, 2, 8, 12, 20, 10, 12, 2, 1, 2, 8, 20, 20, 30, 12, 14, 2, 1, 2, 10, 20, 40, 30, 42, 14, 16, 2, 1, 2, 10, 30, 40, 70, 42, 56, 16, 18, 2, 1, 2, 12, 30, 70, 70, 112, 56, 72, 18, 20, 2, 1 ]
[ "nonn", "tabl" ]
A036876
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 1, 0, 0, 1, 8, 3, 1, 0, 3, 18, 8, 3, 2, 9, 38, 20, 8, 6, 24, 77, 44, 21, 17, 56, 157, 93, 49, 44, 122, 314, 193, 108, 104, 258, 620, 388, 232, 230, 523, 1209, 765, 480, 492, 1036, 2311, 1486, 967, 1008, 2010, 4340, 2831, 1908, 2009, 3822, 8008, 5307, 3679 ]
[ "nonn", "changed" ]
A029360
[ 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 3, 1, 3, 2, 4, 2, 4, 3, 6, 3, 5, 4, 8, 4, 7, 6, 10, 5, 9, 8, 12, 7, 12, 10, 15, 9, 15, 12, 18, 12, 18, 15, 22, 15, 22, 18, 26, 18, 26, 22, 31, 22, 31, 26, 36, 26, 36, 31, 42, 31, 42 ]
[ "nonn" ]
A207342
[ 9, 81, 192, 828, 3130, 11230, 43260, 163710, 604340, 2295512, 8644786, 32247604, 121846736, 458125776, 1716149678, 6468493030, 24309087961, 91233180855, 343432736925, 1290560157455, 4847684885645, 18235756500631, 68530310193276 ]
[ "nonn" ]
A169875
[ 8, 15, 25, 45 ]
[ "nonn", "more" ]
A000705
[ 2, 3, 2, 5, 2, 3, 7, 2, 11, 13, 2, 3, 5, 17, 19, 2, 23, 7, 29, 3, 31, 2, 37, 41, 43, 47, 5, 53, 59, 2, 11, 61, 3, 67, 71, 73, 79, 13, 83, 89, 2, 97, 101, 103, 107, 7, 109, 113, 17, 127, 131, 137, 139, 3, 5, 149, 151, 19, 2, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 ]
[ "nonn", "easy", "nice" ]
A136811
[ 0, 1, 5, 10, 11, 15, 35, 50, 55, 100, 101, 105, 110, 111, 115, 150, 235, 335, 350, 351, 500, 501, 505, 550, 1000, 1001, 1005, 1010, 1011, 1015, 1050, 1055, 1100, 1101, 1105, 1110, 1150, 1235, 1500, 1501, 2305, 2350, 3211, 3335, 3350, 3500, 3510, 3515, 5000, 5001, 5005, 5010, 5011, 5015, 5035, 5050, 5055, 5500, 5505, 10000, 10001, 10005, 10010, 10011, 10015 ]
[ "base", "nonn" ]
A055477
[ 1, 14, 244, 4344, 114144, 2050544, 33233344, 554200144, 13531202544, 243121245344, 4332142412144, 113534523014544, 2043221010301344, 33133534145024144, 552403211002430500, 13502453354043314000 ]
[ "base", "easy", "nonn" ]
A091690
[ 2, 3, 4, 5, 6, 28, 54, 20, 32, 26, 44, 86, 35, 27, 56, 52, 54, 115, 47, 43, 46, 123, 29, 25, 44, 13, 78, 96, 320, 63, 40, 73, 66, 60, 333, 203, 116, 960, 22, 79, 368, 310, 75, 41, 118, 59, 100, 64, 55, 115, 316, 353, 46, 23, 197, 236, 193, 871, 179, 37, 95, 183, 233 ]
[ "nonn", "changed" ]
A095786
[ 18, 1027, 1028, 1029, 14745 ]
[ "base", "nonn" ]
A014472
[ 26, 302, 120, 88234, 14608, 502, 1310354, 455192, 47840, 9738114, 2203488, 2036, 162512286, 66318474, 1505621508, 45533450, 1479726, 8178, 27971176092, 198410786, 4537314, 102776998928, 848090912, 32752, 83137223185370 ]
[ "nonn", "tabf", "easy" ]
A000287
[ 1, 0, 4, 6, 24, 66, 214, 676, 2209, 7296, 24460, 82926, 284068, 981882, 3421318, 12007554, 42416488, 150718770, 538421590, 1932856590, 6969847486, 25237057110, 91729488354, 334589415276, 1224445617889, 4494622119424 ]
[ "nonn", "nice" ]
A132542
[ 13, 212, 66473, 6240580667, 48194374291045740000, 2.2978837860180643e+40, 5.315012335886953e+80 ]
[ "frac", "nonn" ]
A090569
[ 1, 1, 3, 3, 1, 1, 3, 3, 9, 9, 11, 11, 9, 9, 11, 11, 1, 1, 3, 3, 1, 1, 3, 3, 9, 9, 11, 11, 9, 9, 11, 11, 33, 33, 35, 35, 33, 33, 35, 35, 41, 41, 43, 43, 41, 41, 43, 43, 33, 33, 35, 35, 33, 33, 35, 35, 41, 41, 43, 43, 41, 41, 43, 43, 1, 1, 3, 3, 1, 1, 3, 3, 9, 9, 11, 11, 9, 9, 11, 11, 1, 1 ]
[ "nonn" ]
A273026
[ 1, 5, 13, 29, 57, 73, 121, 133, 209, 213, 301, 337, 433, 449, 625, 577, 777, 769, 897, 1001, 1161, 1137, 1513, 1385, 1645, 1773, 1845, 2017, 2253, 2201, 2701, 2569, 2865, 2877, 3269, 3289, 3513, 3769, 4105, 3973, 4593, 4533, 4797, 4969, 5425, 5557, 5789 ]
[ "nonn", "easy" ]
A341599
[ 2, 3, 19, 29, 47, 59, 61, 73, 103, 109, 149, 173, 179, 199, 227, 271, 379, 383, 463, 467, 479, 499, 509, 541, 557, 593, 607, 673, 733, 761, 829, 947, 953, 1019, 1049, 1061, 1063, 1109, 1259, 1307, 1319, 1373, 1399, 1489, 1607, 1699, 1709, 1721, 1723, 1741, 1801, 1889, 1931, 1979, 1987, 2029, 2039 ]
[ "nonn" ]
A142118
[ 83, 157, 379, 601, 823, 971, 1193, 1489, 1637, 1933, 2081, 2377, 2969, 3191, 3413, 3709, 3931, 4079, 4153, 4523, 4597, 4967, 5189, 6151, 6299, 6373, 6521, 7039, 7187, 7853, 7927, 8297, 8741, 8963, 9629, 9851, 10369, 10739, 11257, 11701, 11923, 12071, 12589 ]
[ "nonn", "easy" ]
A049434
[ 1, 36, 750, 11880, 159027, 1899612, 20912320, 216627840, 2141764053, 20415995028, 189036065010, 1709751003480, 15170932662679, 132511015347084, 1142399079991620, 9741955019900400, 82318282158320510, 690223721118368600, 5749622251945665000 ]
[ "easy", "nonn" ]
A203788
[ 112, 10576, 3784288, 5426653360, 31960919852416, 783865714144759800, 8.071108938408735e+22 ]
[ "nonn" ]
A157225
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 3, 1, 2, 4, 1, 2, 4, 2, 2, 3, 2, 2, 4, 2, 4, 4, 1, 5, 5, 2, 5, 7, 1, 3, 7, 2, 4, 8, 2, 4, 3, 2, 4 ]
[ "nice", "nonn" ]
A322272
[ 1, 7, 11, 13, 17, 19, 23, 29, 31, 13, 41, 43, 23, 1, 53, 11, 61, 43, 71, 73, 53, 31, 83, 41, 19, 73, 29, 7, 83, 61, 17, 71 ]
[ "nonn", "fini", "full" ]
A010886
[ 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4 ]
[ "nonn", "easy" ]
A072972
[ -6, 22, 47, 3, 97, 61, 7, 43, 197, 37, 19, 17, 33, 23, 347, 1, 397, 211, 149, 59, 71, 1, 547, 11, 199, 311, 647, 1, 17, 361, 1, 193, 797, 137, 121, 109, 23, 461, 947, 9, 997, 73, 349, 67, 1097, 17, 37, 293, 19, 47, 43, 1, 1297, 661, 449, 49, 1, 1, 1447, 23, 499, 761, 17, 1, 1597, 811, 61, 209, 1697, 1, 1747, 443, 599 ]
[ "easy", "frac", "sign", "changed" ]
A316951
[ 5, 1493, 71505, 4335826, 259163370, 15440641209, 920789559090, 54906173292280, 3273992108473660, 195225156534000030, 11641092125426590000, 694147342926715800000, 4.1391351968297004e+22, 2.468127308681014e+24 ]
[ "nonn" ]
A168761
[ 1, 36, 1260, 44100, 1543500, 54022500, 1890787500, 66177562500, 2316214687500, 81067514062500, 2837362992187500, 99307704726562500, 3475769665429687300, 121651938290039060000, 4.257817840151367e+21, 1.4902362440529784e+23 ]
[ "nonn", "easy" ]
A271483
[ 0, 0, 0, 0, 0, 0, 4, 16, 50, 129, 274, 542 ]
[ "nonn", "more" ]
A080620
[ 1, 6, 27, 120, 423, 1098, 1770, 1650, 851, 198 ]
[ "nonn", "fini", "full" ]
A181081
[ 1, 3, 7, 39, 336, 4077, 68461, 1955295, 129385141, 17371664728, 3501431925168, 947675920795833, 355261887514210900, 236156938257380340000, 3.907079765113407e+23, 1.3247682455354176e+27 ]
[ "nonn" ]
A056864
[ 0, 0, 0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 14, 17, 20, 23, 26, 29, 32, 36, 40, 44, 48, 53, 58, 63, 68, 73, 78, 84, 90, 96, 102, 109, 116, 123, 130, 137, 144, 152, 160, 168, 176, 185, 194, 203, 212, 221, 230, 240, 250, 260, 270, 281, 292, 303, 314, 325 ]
[ "nonn" ]
A117168
[ 0, 0, 1, 0, 0, -1, -1, -1, -2, -1, -2, -1, -1, 0, -2, 1, 0, 2, 1, 4, 1, 5, 3, 6, 6, 7, 4, 8, 8, 10, 8, 10, 8, 12, 9, 10, 10, 10, 8, 10, 8, 9, 6, 7, 7, 5, 5, 3, 4, 1, -4, -5, -4, -7, -6, -13, -12, -17, -15, -20, -18, -28, -29, -37, -31, -40, -37, -47, -42, -55, -51, -62, -59, -69, -65, -78, -69, -84, -75, -93 ]
[ "sign" ]
A383198
[ 9, 54, 328, 2000, 12202, 74458, 454366, 2772710, 16920138, 103253214, 630091042, 3845059318, 23464039746, 143186649814, 873780342786, 5332145758694, 32538816680050, 198564450196598, 1211717109125762, 7394366670845606, 45123286657530510, 275359755529253150 ]
[ "nonn", "base", "easy" ]
A238470
[ 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, -1, 0 ]
[ "sign", "easy" ]
A296331
[ 8, 47, 230, 1235, 6504, 34224, 180404, 950451, 5007796, 26385348, 139020417, 732477787, 3859315404, 20334154462, 107137610499, 564492004530, 2974223725585, 15670738828479, 82566773061608, 435031946402290 ]
[ "nonn" ]
A013645
[ 1, 2, 3, 7, 13, 19, 31, 43, 46, 94, 139, 151, 166, 211, 331, 421, 526, 571, 604, 631, 751, 886, 919, 1291, 1324, 1366, 1516, 1621, 1726, 2011, 2311, 2566, 2671, 3004, 3019, 3334, 3691, 3931, 4174, 4846, 5119, 6211, 6451, 6679, 6694, 7606, 8254, 8779, 8941, 9739 ]
[ "nonn", "nice" ]
A329047
[ 1, 1, 1, 6, 1, 10, 1, 8, 12, 14, 1, 500, 1, 22, 100842, 240, 1, 840, 1, 1372, 966306, 26, 1, 650, 465850, 34, 16, 5324, 1, 148862, 1, 10, 2227758, 38, 31919986098, 2058000, 1, 46, 8519142, 18, 1, 24, 1, 8788, 673486, 58, 1, 1078, 551741398, 668409965300, 14856594, 19652, 1, 1760, 3510806, 155897368, 38618058, 62, 1, 320166, 1, 74, 1472328, 420 ]
[ "nonn" ]
A368267
[ 1, 4, 24, 206, 2344, 33322, 568420, 11312366, 257293872, 6583516946, 187173328444, 5853594770806, 199705444781512, 7381068971010074, 293787494031046700, 12528831526596460000, 569923490454177200000, 2.754555229668269e+22 ]
[ "nonn", "easy" ]
A028288
[ 1, 1, 1, 3, 4, 5, 8, 10, 12, 17, 21, 24, 31, 37, 42, 52, 60, 67, 80, 91, 101, 117, 131, 144, 164, 182, 198, 222, 244, 264, 293, 319, 343, 377, 408, 437, 476, 512, 546, 591, 633, 672, 723, 771, 816, 874, 928, 979, 1044, 1105, 1163, 1235, 1303, 1368 ]
[ "nonn", "nice", "easy" ]
A322041
[ 1, 1, 3, 1, 6, 2, 1, 6, 9, 0, 1, 6, 12, 6, 0, 1, 6, 12, 15, 2, 0, 1, 6, 12, 18, 12, 0, 0, 1, 6, 12, 18, 21, 6, 0, 0, 1, 6, 12, 18, 24, 18, 2, 0, 0, 1, 6, 12, 18, 24, 27, 12, 0, 0, 0, 1, 6, 12, 18, 24, 30, 24, 6, 0, 0, 0, 1, 6, 12, 18, 24, 30, 33, 18, 2, 0, 0, 0, 1, 6, 12, 18, 24, 30, 36, 30, 12, 0, 0, 0, 0 ]
[ "nonn", "tabl" ]
A111734
[ -1, 1, -1, 3, -6, 10, -15, 23, -37, 61, -100, 162, -261, 421, -681, 1103, -1786, 2890, -4675, 7563, -12237, 19801, -32040, 51842, -83881, 135721, -219601, 355323, -574926, 930250, -1505175, 2435423, -3940597, 6376021, -10316620, 16692642, -27009261, 43701901, -70711161, 114413063 ]
[ "easy", "sign" ]
A197414
[ 1, 3, 3, 9, 6, 7, 6, 6, 2, 2, 8, 1, 7, 2, 7, 1, 4, 4, 4, 1, 6, 8, 1, 3, 5, 4, 0, 2, 5, 6, 6, 4, 9, 2, 1, 5, 6, 2, 3, 9, 6, 8, 8, 4, 2, 5, 0, 7, 6, 2, 7, 4, 1, 3, 6, 6, 6, 5, 9, 0, 0, 8, 3, 6, 9, 5, 1, 7, 3, 6, 7, 6, 8, 5, 6, 4, 8, 0, 8, 0, 4, 2, 1, 5, 2, 5, 6, 5, 4, 8, 8, 3, 3, 9, 5, 2, 7, 0, 8 ]
[ "nonn", "cons" ]
A187274
[ 0, 4, 20, 48, 160, 320, 960, 1792, 5120, 9216, 25600, 45056, 122880, 212992, 573440, 983040, 2621440, 4456448, 11796480, 19922944, 52428800, 88080384, 230686720, 385875968, 1006632960, 1677721600, 4362076160, 7247757312, 18790481920, 31138512896, 80530636800, 133143986176, 343597383680 ]
[ "nonn", "easy" ]
A153121
[ 5, 7, 29, 41, 1933, 4073, 43049, 46439, 60353, 72031, 150989, 153929, 158551, 158591, 190051, 199247, 226267, 438479, 545749, 613451, 696737, 714841, 734663, 754627, 788353, 793843, 825259, 948457, 1053191, 1057699, 1154159, 1241827 ]
[ "nonn", "easy" ]
A215778
[ 11, 13, 15, 33, 63, 145, 215, 313, 315, 933, 1563, 2613, 5003, 5005, 11123, 14869, 14871, 24793, 24795, 68805, 193275, 499885, 770627, 1152637, 1152639, 2216961, 4187619, 9032861, 9092323, 9272573, 9414403, 9414405, 37061115, 116692485, 351858171, 741077157, 1253259803 ]
[ "nonn" ]
A095687
[ 0, 10, 50, 250, 1250, 6250, 31250, 156250, 781250, 3906250, 19531250, 97656250, 488281250, 2441406250, 12207031250, 61035156250, 305175781250, 1525878906250, 7629394531250, 38146972656250, 190734863281250 ]
[ "nonn" ]
A012417
[ 1, 0, 1, 6, 17, 20, 145, 2170, 8353, -41208, 12065, 8539278, 24846769, -999642020, -1683957327, 211007667650, 379515957057, -52699680395376, -66075776120255, 17106146184773014, 14435220017357136 ]
[ "sign" ]
A180602
[ 1, 3, 49, 3375, 923521, 992436543, 4195872914689, 70110209207109380, 4.64908194421109e+21, 1.227102111503513e+27, 1.2917498703396066e+33, 5.4299141982355664e+39 ]
[ "nonn", "easy" ]
A103165
[ 1, 70, 6469855, 314976376, 28913745325725, 1407627555984530, 129215354378188750000, 6.290679101929235e+21, 5.774626434239703e+26, 2.811300716244573e+28, 2.5806770886857338e+33, 1.2563686033092072e+35 ]
[ "nonn", "easy" ]
A031133
[ 2, 3, 5, 19, 47, 83, 109, 199, 1123, 1321, 2161, 2477, 5591, 9551, 14087, 19603, 19609, 31393, 31397, 38461, 58789, 155893, 360653, 370247, 396733, 1357193, 1561891, 4652317, 8917463, 20831299, 38089217, 70396343, 72546143, 102765577 ]
[ "nonn" ]
A306185
[ 5, 23, 153, 1329, 14235, 181215, 2672145, 44781345, 840523635, 17465201775, 397983749625, 9867844134225, 264469801070475, 7618612476650175, 234748657653134620, 7703855828862818000, 268263758052098670000, 9.879138385352253e+21, 3.8360805317602346e+23, 1.5664153113813816e+25 ]
[ "nonn" ]
A114896
[ 1, 2, 2, 2, 4, 2, 3, 4, 4, 3, 2, 6, 4, 6, 2, 4, 4, 6, 6, 4, 4, 2, 8, 4, 9, 4, 8, 2, 4, 4, 8, 6, 6, 8, 4, 4, 3, 8, 4, 12, 4, 12, 4, 8, 3, 4, 6, 8, 6, 8, 8, 6, 8, 6, 4, 2, 8, 6, 12, 4, 16, 4, 12, 6, 8, 2 ]
[ "nonn", "tabl" ]
A224898
[ 1, 0, -1, -1, -1, -1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, -1, -2, -2, -4, -4, -5, -5, -6, -5, -6, -4, -4, -3, -2, 1, 1, 4, 5, 8, 9, 12, 12, 15, 15, 17, 16, 18, 15, 16, 13, 13, 8, 7, 1, 0, -7, -9, -17, -19, -27, -29, -37, -38, -46, -46, -53, -51, -57, -53, -57, -51, -53, -45, -45, -32, -31 ]
[ "sign", "look" ]
A382321
[ 1, 2, 5, 16, 53, 201, 775, 3156, 13123, 55915, 241989, 1062626, 4718381, 21157587, 95652899, 435556794, 1995707807, 9194783480, 42570402239, 197957963454, 924157499417, 4329762499141, 20351029400481, 95938012425720, 453492517932749, 2148971062782851, 10206782449581524, 48581518343373384 ]
[ "nonn" ]
A024353
[ 4, 12, 15, 21, 24, 35, 40, 45, 55, 56, 60, 63, 72, 77, 80, 84, 91, 99, 105, 112, 117 ]
[ "dead" ]
A129634
[ 2, 1, 0, 1, 1, 7, 4, 1, 1, 7, 3, 1, 1, 3, 16, 13, 1, 4, 4, 1, 1, 4, 4, 1, 46, 3, 7, 1, 2, 7, 16, 2, 13, 4, 3, 1, 13, 3, 4, 22, 1, 16, 16, 1, 1, 7, 3, 1, 10, 3, 7, 1, 2, 7, 16, 2, 1, 4, 4, 13, 1, 4, 16, 1, 1, 16, 4, 2, 1, 16, 8, 1, 10, 3, 7, 1, 1, 31, 7, 2, 13, 4, 4, 10, 1, 8, 7, 13, 1, 43, 16, 5, 25, 16 ]
[ "easy", "nonn" ]
A341554
[ 1, 6, -810, -22134, -278634, -2122524, -11039814, -43693008, -145572714, -424326378, -1083745980, -2551211640, -5663429382, -11474793708, -22397094864, -42109347204, -74498070378, -128307428244, -217704941082, -349133308872, -555058873404, -870035772336, -1308777310008 ]
[ "sign" ]
A347814
[ 1, 1, 7, 29, 173, 937, 5527, 32309, 193663, 1166083, 7093413, 43373465, 266712433, 1646754449, 10205571945, 63442201565, 395457341485, 2470816812547, 15469821698211, 97035271087123, 609662167537831, 3836108862182671, 24169777826484696, 152468665277411520 ]
[ "nonn", "walk" ]
A224957
[ 1, 1, 2, 4, 6, 11, 19, 31, 54, 92, 154, 266, 454, 771, 1319, 2249, 3834, 6550, 11176, 19069, 32558, 55567, 94838, 161891, 276325, 471659, 805102, 1374234, 2345724, 4004031, 6834605, 11666260, 19913668, 33991462, 58021534, 99039592, 169055094, 288567886, 492569833, 840790082 ]
[ "nonn" ]
A291400
[ 0, 1, 2, 3, 8, 15, 26, 52, 100, 193, 378, 726, 1396, 2699, 5210, 10065, 19444, 37528, 72448, 139890, 270104, 521547, 1007026, 1944336, 3754132, 7248558, 13995676, 27023186, 52176848, 100743849, 194517966, 375578833, 725174524, 1400180233, 2703493026 ]
[ "nonn", "easy" ]
A227481
[ 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 4, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 3, 1, 1, 1, 3, 1, 2, 1, 2, 3, 1, 1, 4, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 1, 5, 1, 1, 3, 2, 1, 1, 1, 2, 1, 2, 1, 5, 1, 1, 2, 2, 2, 1, 1, 4, 1, 1, 1, 5, 1 ]
[ "nonn" ]
A116153
[ 13, 41, 653, 2287, 2723, 5491, 23240971, 26823191, 60249661, 1841968537, 2009317771, 3044234903, 3258336353, 8166731261, 9481619237, 1.281071245505271e+27, 1.5516056708466402e+27 ]
[ "nonn", "base" ]
A261811
[ 4, 8, 12, 13, 16, 20, 24, 32, 36, 40, 44, 48, 52, 56, 64, 68, 72, 76, 77, 80, 84, 88, 96, 100, 104, 108, 112, 116, 120, 122, 128, 132, 136, 140, 141, 144, 148, 152, 160, 164, 168, 172, 176, 180, 184, 192, 196, 200, 204, 205, 208, 212, 216, 224, 228, 232, 236, 240, 244, 248, 256, 260 ]
[ "nonn" ]
A005204
[ 0, 0, 0, 1, 2, 4, 9, 38, 308, 4937, 316006, 161795380, 1325427757897, 694905868332618400, 1.8653737364294237e+26, 4.10200022670423e+38, 4.729284273269468e+56 ]
[ "nonn" ]
A361016
[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ "nonn" ]
A377897
[ 4, 5, 8, 10, 11, 14, 16, 17, 20, 22, 23, 25, 27, 30, 31, 33, 35, 38, 40, 41, 44, 46, 47, 49, 51, 54, 56, 58, 59, 62, 64, 66, 67, 69, 72, 73, 75, 77, 80, 82, 83, 85, 87, 90, 92, 94, 96, 97, 99, 102, 103, 105, 108, 109, 111, 114, 116, 118, 120, 122, 124, 126, 127, 129, 132, 134, 136, 137, 140 ]
[ "nonn" ]
A318542
[ 8, 8, 26, 78, 247, 784, 2349, 7191, 22268, 68384, 210050, 645832, 1985105, 6102355, 18758291, 57660242, 177244228, 544835790, 1674781291, 5148145759, 15824995614, 48644815851, 149530340549, 459644547764, 1412911535090, 4343179473160 ]
[ "nonn" ]
A338222
[ 2, 13, 36, 76, 188, 269, 450, 555, 815, 1272, 1456, 2043, 2504, 2767, 3303, 4210, 5196, 5567, 6716, 7530, 7972, 9340, 10315, 11855, 14112, 15296, 15927, 17209, 17866, 19235, 24331, 25888, 28357, 29197, 33630, 34547, 37337, 40282, 42316, 45467, 48720, 49830, 55564, 56726, 59151, 60403, 67908 ]
[ "nonn" ]
A008257
[ 1, 4, 12, 22, 36, 58, 94, 136, 164, 194, 248, 320, 382, 440, 500, 568, 664, 760, 844, 936, 1030, 1134, 1268, 1384, 1498, 1618, 1758, 1898, 2048, 2184, 2344, 2504, 2680, 2830, 3014, 3190, 3390, 3572, 3776, 3950, 4178, 4384, 4624, 4828, 5060, 5260, 5540, 5772 ]
[ "nonn" ]
A182727
[ 1, 3, 6, 8, 12, 15, 20, 22, 26, 29, 35, 38, 43, 47, 54, 56, 60, 63, 69, 74, 78, 86, 89, 94, 98, 105, 108, 114, 119, 128, 130, 134, 137, 143, 148, 152, 160, 164, 171, 177, 182, 192, 195, 200, 204, 211, 214, 220, 225, 234, 239, 243, 251, 258, 264, 275, 277, 281 ]
[ "nonn", "tabf" ]
A059564
[ 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 51, 53, 54, 56, 57, 59, 60, 62, 63, 65, 66, 68, 69, 71, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 97, 99, 100, 102, 103 ]
[ "nonn", "easy" ]
A030190
[ 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0 ]
[ "nonn", "base", "cons", "easy", "tabf" ]
A388770
[ 8, 3, 3, 0, 6, 2, 4, 0, 8, 0, 2, 1, 2, 9, 9, 2, 6, 4, 7, 5, 3, 4, 7, 7, 7, 6, 7, 7, 4, 8, 8, 9, 6, 1, 7, 3, 6, 3, 4, 9, 2, 3, 7, 0, 6, 4, 8, 6, 4, 8, 2, 9, 9, 3, 2, 3, 9, 4, 9, 4, 7, 7, 9, 0, 1, 9, 4, 5, 1, 6, 8, 1, 2, 9, 7, 1, 0, 9, 7, 3, 3, 5, 5, 5, 3, 5, 3 ]
[ "nonn", "cons" ]
A230873
[ 6, 14, 15, 20, 28, 38, 40, 42, 48, 51, 52, 54, 72, 78, 84, 86, 88, 90, 96, 102, 103, 108, 110, 113, 114, 120, 124, 125, 126, 127, 132, 138, 150, 156, 162, 164, 168, 174, 180, 197, 198, 204, 210, 216, 220, 222, 224, 228, 236, 238, 245, 248, 250, 252, 258, 262, 270, 276, 279, 285, 286, 295, 298, 304, 306, 310, 315, 316 ]
[ "nonn" ]
A142560
[ 83, 401, 613, 719, 1249, 1567, 2203, 2309, 2521, 3581, 3793, 4111, 4217, 5171, 5701, 5807, 6337, 6761, 7079, 7927, 8563, 8669, 9199, 9623, 9941, 10259, 10789, 11213, 11743, 12379, 12697, 13121, 13757, 14923, 15241, 15559, 15877, 16301, 16619, 16831, 16937 ]
[ "nonn", "easy" ]
A213266
[ 1, 1, -1, -1, 0, 1, 0, -1, 1, 2, 0, -3, 0, 2, 0, -3, 0, 5, 0, -4, -2, 4, 0, -5, 0, 7, 2, -7, 0, 5, 0, -10, 1, 12, 0, -10, 0, 14, -4, -17, 0, 21, 0, -22, 4, 24, 0, -34, 0, 33, 1, -36, 0, 45, 0, -45, -8, 52, 0, -55, 0, 62, 8, -71, 0, 70, 0, -88, 2, 96, 0, -98 ]
[ "sign" ]
A186978
[ 6, 0, 0, 2, 56, 1, 219, 13, 27, 15, 777, 28, 640, 102, 563, 127, 3923, 28, 7859, 1792, 1505, 966, 2354, 392, 21313, 2289, 3969, 1344, 42828, 714, 69360, 7566, 8118, 8826, 122883, 5082, 93084, 10890, 33594, 19338, 266024, 11011, 82350, 23298, 63917 ]
[ "nonn" ]
A005047
[ 0, 1, 3, 4, 8, 10, 12, 13, 19, 23, 25, 29, 31, 35, 39, 40, 50, 53, 57, 62, 70, 73, 81, 83, 91, 94, 99, 103, 110, 113, 120, 121, 136, 144, 149, 156, 162, 164, 168, 173, 193, 203, 208 ]
[ "nonn", "more", "changed" ]
A163594
[ 1, 1, 2, 20, 804, 108304, 49833296, 87606851264, 641794234287360, 19783636266156204000, 2.5125842896927594e+24, 1.2951585537954098e+30, 2.690610592205669e+36 ]
[ "nonn" ]
A223749
[ 117, 2826, 330642, 21965901, 2810374281, 252313355237, 32063498387856, 3229688051024065, 404471979822899800 ]
[ "nonn" ]
A313140
[ 1, 4, 9, 14, 20, 24, 29, 35, 39, 43, 49, 49, 55, 63, 67, 75, 78, 81, 90, 85, 96, 101, 106, 115, 116, 120, 125, 120, 135, 139, 146, 154, 154, 161, 161, 161, 173, 178, 186, 192, 193, 196, 196, 200, 211, 218, 225, 230, 234, 232 ]
[ "nonn" ]
A247967
[ 3, 9, 15, 54, 290, 987, 4530, 21481, 58554, 60967, 136456, 136456, 673393, 1254203, 1254203, 7709873, 21357253, 21357253, 25813464, 25813464, 39500857, 39500857, 947438659, 947438659, 947438659, 5703167678, 5703167678, 16976360924, 68745739764, 117327812949 ]
[ "nonn" ]
A348690
[ 0, 1, 1, 0, 0, -1, -1, 0, -2, -1, -1, 2, -2, 1, 1, 2, -4, 1, 1, 4, 0, 3, 3, 0, -2, 3, 3, 2, 2, 1, 1, -2, -4, 5, 5, 4, 4, 3, 3, -4, 2, 3, 3, -2, 2, -3, -3, -2, 0, 5, 5, 0, 4, -1, -1, -4, 2, -1, -1, -2, -2, -3, -3, 2, 0, 9, 9, 0, 8, -1, -1, -8, 6, -1, -1, -6, -2 ]
[ "sign", "look", "base" ]
A134235
[ 1, 4, 2, 5, 7, 3, 6, 8, 10, 4, 7, 9, 11, 13, 5, 8, 10, 12, 14, 16, 6, 9, 11, 13, 15, 17, 19, 7, 10, 12, 14, 16, 18, 20, 22, 8, 11, 13, 15, 17, 19, 21, 23, 25, 9, 12, 14, 16, 18, 20, 22, 24, 26, 28, 10 ]
[ "nonn", "tabl" ]
A169555
[ 1, 14, 182, 2366, 30758, 399854, 5198102, 67575326, 878479238, 11420230094, 148462991222, 1930018885886, 25090245516518, 326173191714734, 4240251492291542, 55123269399790050, 716602502197270700 ]
[ "nonn" ]
A367534
[ 1, 4, 14, 613, 168832, 238686222, 1436101016320, 36028798185029190, 3.7312525299496617e+21, 1.5845632502855795e+27, 2.746338834266355e+33, 1.9358285762613387e+40, 5.534680756756082e+47 ]
[ "nonn" ]
A058743
[ 1, 0, 1, 1, 1, 1, 3, 2, 2, 4, 4, 4, 7, 6, 8, 10, 10, 11, 16, 15, 18, 22, 24, 26, 34, 34, 39, 47, 50, 56, 69, 70, 80, 93, 100, 110, 131, 137, 154, 176, 189, 208, 241, 254, 283, 320, 345, 377, 430, 456, 505, 563, 607, 661, 744, 793, 871, 964, 1039, 1129, 1257 ]
[ "nonn" ]
A339718
[ 1, -3, -3, 3, -3, 6, -3, -4, 3, 6, -3, -3, -3, 6, 6, 9, -3, -3, -3, -3, 6, 6, -3, 9, 3, 6, -4, -3, -3, -3, -3, -12, 6, 6, 6, 3, -3, 6, 6, 9, -3, -3, -3, -3, -3, 6, -3, -18, 3, -3, 6, -3, -3, 9, 6, 9, 6, 6, -3, -3, -3, 6, -3, 15, 6, -3, -3, -3, 6, -3, -3, -15, -3, 6, -3, -3, 6, -3, -3, -18 ]
[ "sign" ]
A074682
[ 0, 1, 3, 2, 8, 7, 4, 6, 5, 22, 21, 17, 20, 18, 10, 9, 14, 19, 16, 11, 12, 15, 13, 64, 63, 58, 62, 59, 46, 45, 54, 61, 57, 48, 49, 55, 50, 27, 26, 23, 25, 24, 38, 37, 51, 60, 56, 42, 44, 53, 47, 29, 28, 30, 32, 31, 39, 40, 52, 43, 33, 34, 35, 41, 36, 196, 195, 189, 194, 190 ]
[ "nonn" ]
A159249
[ 1, 3, -41, -423, 4881, 99243, -922521, -32540463, 225260961, 13691968083, -60291528201, -7026858626103, 12079764632241, 4252354469558523, 4905216397718919, -2961932479497809400, -12564709736782617000, 2.3318518543878995e+21, 1.7675558839428923e+22 ]
[ "sign", "frac" ]
A218471
[ 0, 2, 11, 27, 50, 80, 117, 161, 212, 270, 335, 407, 486, 572, 665, 765, 872, 986, 1107, 1235, 1370, 1512, 1661, 1817, 1980, 2150, 2327, 2511, 2702, 2900, 3105, 3317, 3536, 3762, 3995, 4235, 4482, 4736, 4997, 5265, 5540, 5822, 6111, 6407, 6710, 7020, 7337 ]
[ "nonn", "easy" ]
A280628
[ 1, 1, 1, 1, 1, 19, 109, 739, 3889, 35641, 292681, 3753721, 37275121, 500577499, 5709311029, 91718242219, 1254902705569, 22737318482161, 350061261777361, 6983681901945841, 120872805166945440, 2676021948941279700, 51564789352080560000, 1.2435475403894812e+21, 2.628403067132808e+22, 6.869203434537527e+23, 1.5848108292907342e+25, 4.466241440839006e+26 ]
[ "nonn" ]
A060211
[ 7, 13, 19, 73, 109, 193, 433, 1153, 2593, 139969, 472393, 786433, 995329, 57395629, 63700993, 169869313, 4076863489, 10871635969, 2348273369089, 56358560858113, 79164837199873, 84537841287169, 150289495621633, 578415690713089, 1141260857376769, 57711166318706690 ]
[ "nonn" ]
A064838
[ 0, 1, 9, 57, 210, 585, 1355, 2769, 5156, 8945, 14669, 22985, 34678, 50681, 72079, 100129, 136264, 182113, 239505, 310489, 397338, 502569, 628947, 779505, 957548, 1166673, 1410773, 1694057, 2021054, 2396633, 2826007, 3314753 ]
[ "nonn", "easy" ]
A271683
[ 1, 6, 61, 2230, 193950, 45502450, 25802403012, 35487976918328, 115589877888836350, 892600220580685800000 ]
[ "nonn" ]
A320803
[ 1, 1, 3, 7, 21, 56, 174, 517, 1664, 5383, 18199, 62745, 223390, 813425, 3040181, 11620969, 45446484, 181537904, 740369798, 3079779662, 13059203150, 56406416004, 248027678362, 1109626606188, 5048119061134, 23342088591797, 109648937760252, 523036690273237 ]
[ "nonn" ]
A178814
[ 0, 487, 4, 974, 1, 30384, 1, 1, 0, 2, 46, 1571, 1, 17, 24160, 855, 0, 4, 1, 189, 1, 5, 11, 1, 0, 0, 1, 0, 1, 3, 2, 3, 0, 19632919407, 1, 60768, 1, 11, 1435, 8, 0, 0, 2, 2, 1, 1 ]
[ "hard", "more", "nonn" ]
A025735
[ 1, 3, 6, 11, 17, 24, 33, 43, 54, 67, 81, 97, 114, 132, 152, 173, 195, 219, 244, 270, 298, 327, 358, 390, 423, 458, 494, 531, 570, 610, 651, 694, 738, 784, 831, 879, 929, 980, 1032, 1086, 1141, 1197, 1255, 1314, 1375, 1437, 1500, 1565, 1631, 1698, 1767, 1837 ]
[ "nonn", "easy", "changed" ]
A352561
[ 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 3, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 5, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 4, 3, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 5, 0, 0, 2, 0, 0, 0, 0, 0, 0, 4, 0, 2, 0 ]
[ "nonn", "mult", "changed" ]
A129039
[ 0, 20, 65546, 23650152 ]
[ "nonn" ]
A240736
[ 1, 1, 1, 4, 7, 16, 29, 60, 120, 238, 479, 956, 1910, 3817, 7633, 15252, 30491, 60955, 121865, 243650, 487165, 974112, 1947851, 3895086, 7789153, 15576624, 31150481, 62296424, 124585395, 249158607, 498297297, 996562085, 1993071152, 3986055928, 7971971230 ]
[ "nonn" ]
A020045
[ 1, 1, 1, 2, 7, 30, 162, 1056, 7918, 67304, 639384, 6713531, 77205601, 965070017, 13028445232, 188912455860, 2928143065834, 48314360586264, 845501310259627, 15641774239803108, 305014597676160600, 6252799252361292000 ]
[ "nonn" ]