id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A114993
[ 18446744073709552000, 1.333735776850284e+33, 1.0638735892371651e+56, 1.2089258196146292e+64 ]
[ "easy", "nonn" ]
A386454
[ 1, 1, 2, 13, 220, 8148, 586948, 75141039, 15930666825, 5289069956220, 2628685323745449, 1884772989271329800, 1.8904300394481338e+21, 2.584219798288871e+24, 4.708450397910844e+27, 1.1215531466814324e+31, 3.434196210708162e+34 ]
[ "nonn" ]
A200119
[ 1, 3, 0, 7, 1, 9, 0, 9, 9, 2, 0, 7, 3, 8, 1, 3, 0, 6, 6, 4, 0, 4, 6, 3, 4, 1, 8, 6, 6, 5, 4, 5, 6, 0, 4, 5, 6, 2, 8, 2, 6, 0, 4, 5, 6, 8, 3, 5, 4, 3, 0, 5, 8, 9, 0, 4, 7, 6, 7, 6, 9, 5, 2, 8, 0, 0, 3, 8, 9, 7, 8, 8, 2, 5, 4, 6, 1, 4, 1, 9, 7, 9, 5, 3, 1, 9, 0, 8, 2, 0, 8, 7, 8, 9, 7, 6, 2, 3, 2 ]
[ "nonn", "cons" ]
A362736
[ 1, 1, 1, 4, -3, 96, -755, 10368, -147623, 2492416, -47137959, 996741120, -23260103339, 594198429696, -16492683271259, 494278721929216, -15908038836914896, 547238863907586050, -20038031401448020000, 778147549666716200000, -3.1943565308583932e+22 ]
[ "sign" ]
A154362
[ 1, 2, 4, 8, 16, 18, 24, 28, 32, 36, 42, 44, 48, 56, 60, 66, 72, 84, 88, 96, 108, 112, 114, 116, 120, 122, 124, 128, 136, 138, 144, 148, 152, 160, 162, 168, 192, 198, 216, 222, 224, 228, 232, 234, 240, 244, 248, 256, 270, 280, 288, 296, 306, 312, 318, 336, 342 ]
[ "base", "easy", "nonn" ]
A082692
[ 1, 3, 4, 6, 9, 10, 12, 13, 15, 18, 22, 23, 25, 26, 28, 31, 32, 34, 35, 37, 40, 44, 49, 50, 52, 53, 55, 58, 59, 61, 62, 64, 67, 71, 72, 74, 75, 77, 80, 81, 83, 84, 86, 89, 93, 98, 104, 105, 107, 108, 110, 113, 114, 116, 117, 119, 122, 126, 127, 129, 130, 132, 135, 136, 138 ]
[ "nonn" ]
A005026
[ 1, 4, 35, 1246 ]
[ "nonn", "more" ]
A222014
[ 1, 1, 2, 9, 54, 392, 3264, 30375, 311482, 3492134, 42613740, 564395954, 8094807168, 125423821396, 2093539627292, 37521869868373, 719483654260090, 14705046942685816, 319171681858506900, 7331367124418082000, 177646903957002420000, 4.527740283395695e+21 ]
[ "nonn" ]
A063795
[ 35, 99, 357, 495, 1672, 2108, 3135, 3465, 3692, 5152, 11704, 14756, 15800, 18375, 20026, 23374, 23560, 25714, 25844, 33915, 35074, 39585, 49196, 55154, 56134, 66040, 86900, 99484, 104140, 105105, 110600, 116116, 124558, 141340, 157586 ]
[ "nonn" ]
A046543
[ 1, 1, 1, 3, 8, 3, 10, 1, 110, 3, 406, 3, 504, 1, 1892, 1, 7150, 1, 27170, 1, 311168, 3, 1192516, 3, 1528436, 1, 17681020, 3, 68346800, 3, 88256520, 1, 342551190, 1, 1331805570, 1, 5185791600, 1, 20220038300, 1, 78937755820, 1, 308513659740, 1, 1207002506320, 1 ]
[ "tabf", "nonn", "frac" ]
A324752
[ 1, 0, 1, 1, 1, 1, 2, 3, 1, 4, 4, 4, 5, 6, 7, 10, 9, 12, 12, 16, 17, 22, 22, 26, 31, 35, 37, 46, 50, 55, 66, 70, 82, 90, 101, 114, 127, 143, 159, 172, 202, 215, 246, 267, 301, 327, 366, 402, 447, 491, 545, 600, 655, 722, 795, 875, 964, 1050, 1152, 1259, 1383 ]
[ "nonn" ]
A132032
[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 32, 34, 36, 38, 40, 42, 44, 46, 72, 75, 78, 81, 84, 87, 90, 93, 128, 132, 136, 140, 144, 148, 152, 156, 200, 205, 210, 215, 220, 225, 230, 235, 288, 294, 300, 306, 312, 318, 324, 330, 392, 399, 406, 413, 420, 427, 434 ]
[ "nonn" ]
A224487
[ 2, 4, 4, 6, 10, 39, 102, 44, 165, 96, 154, 446, 406, 714, 999, 1634, 2698, 5445, 7630, 11670, 17833, 28758, 46686, 75178, 121782, 197890, 319081, 522734, 840924 ]
[ "nonn" ]
A312245
[ 1, 4, 8, 14, 16, 20, 24, 28, 34, 38, 42, 44, 48, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 96, 100, 102, 106, 110, 116, 120, 124, 128, 130, 136, 140, 144, 148, 152, 158, 160, 164, 168, 172, 178, 182, 186, 188, 192, 198, 202 ]
[ "nonn" ]
A071977
[ 1, 3, 5, 7, 8, 10, 11, 13, 15, 17, 18, 19, 21, 22, 23, 25, 29, 31, 35, 37, 41, 43, 44, 45, 46, 47, 48, 50, 51, 53, 55, 57, 59, 61, 63, 65, 67, 68, 70, 71, 73, 74, 76, 77, 79, 81, 83, 87, 89, 91, 93, 97, 99, 101, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115 ]
[ "nonn", "tabl" ]
A129615
[ 1, 1, 15, 385, 137593, 106908087 ]
[ "hard", "more", "nonn" ]
A311993
[ 1, 4, 8, 13, 17, 23, 27, 32, 36, 40, 44, 48, 53, 57, 63, 67, 72, 76, 80, 84, 88, 93, 97, 103, 107, 112, 116, 120, 124, 128, 133, 137, 143, 147, 152, 156, 160, 164, 168, 173, 177, 183, 187, 192, 196, 200, 204, 208, 213, 217 ]
[ "nonn" ]
A005199
[ 0, 1, 1, 4, 6, 18, 35, 93, 214, 549, 1362, 3534, 9102, 23951, 63192, 168561, 451764, 1219290, 3305783, 9008027, 24643538, 67681372, 186504925, 515566016, 1429246490, 3972598378, 11068477743, 30908170493, 86488245455, 242481159915, 681048784377, 1916051725977, 5399062619966 ]
[ "nonn" ]
A366782
[ 1, 1, 2, 3, 2, 2, 8, 6, 5, 2, 4, 24, 6, 8, 21, 16, 3, 8, 16, 12, 8, 12, 8, 6, 12, 12, 8, 80, 12, 24, 168, 20, 16, 12, 144, 24, 32, 16, 128, 12, 4, 16, 4, 32, 32, 16, 96, 320, 4, 48, 72, 216, 8, 32, 256, 48, 4, 8, 32, 48, 384, 32, 96, 576, 12, 4, 16, 36, 8, 8 ]
[ "nonn" ]
A319526
[ 1, 3, 3, 4, 7, 4, 7, 12, 12, 7, 6, 15, 13, 15, 6, 12, 18, 28, 28, 18, 12, 8, 28, 24, 31, 24, 28, 8, 15, 24, 39, 42, 42, 39, 24, 15, 13, 31, 32, 60, 31, 60, 32, 31, 13, 18, 39, 60, 56, 72, 72, 56, 60, 39, 18, 12, 42, 40, 63, 48, 91, 48, 63, 40, 42, 12, 28, 36, 72, 91, 90, 96, 96, 90, 91, 72, 36, 28 ]
[ "nonn", "tabl" ]
A027478
[ 1, 7, 1, 176, 39, 1, 10746, 2951, 126, 1, 1297704, 407450, 22535, 310, 1, 272866980, 94128364, 6139575, 112435, 645, 1, 91570835040, 33910601508, 2487385684, 54814095, 426475, 1197, 1, 46034917019280, 18030534782364, 1446119232796, 36402686929, 345710680, 1333906, 2044, 1 ]
[ "nonn", "tabl", "easy" ]
A288476
[ 2, 4, 8, 20, 44, 108, 244, 588, 1348, 3212, 7428, 17580, 40868, 96332, 224644, 528236, 1234148, 2897804, 6777924, 15900844, 37216932, 87264460, 204330500, 478954476, 1121747556, 2628904460, 6157985732, 14430108460, 33804242468, 79208704844, 185565457796 ]
[ "nonn", "easy" ]
A075485
[ 1, 8, 17, 18, 107, 108, 47, 48, 62, 63, 157, 158, 159, 160, 130, 131, 225, 226, 178, 179, 304, 305, 474, 475, 445, 446, 385, 386, 449, 450, 451, 452, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 853, 854 ]
[ "nonn" ]
A309897
[ 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 6, 9, 13, 22, 33, 51, 74, 104, 142, 194, 261, 351, 464, 616, 802, 1047, 1344, 1716, 2186, 2766, 3473, 4367, 5448, 6774, 8375, 10329, 12685, 15553, 18982, 23098, 28046, 33966, 40976, 49381, 59301, 71095, 85017, 101491, 120859 ]
[ "nonn" ]
A385346
[ 1, 2, 8, 50, 416, 4338, 54272, 792402, 13221888, 248206818, 5177131008, 118784695218, 2973171646464, 80619877999698, 2354230063005696, 73657841729314000, 2458203242895507500, 87165684035402710000, 3.2726297881965295e+21, 1.2969681616086895e+23 ]
[ "nonn", "easy" ]
A170145
[ 1, 40, 1560, 60840, 2372760, 92537640, 3608967960, 140749750440, 5489240267160, 214080370419240, 8349134446350360, 325616243407664060, 12699033492898898000, 495262306223057000000, 1.9315229942699222e+22 ]
[ "nonn" ]
A213398
[ 1, 4, 10, 17, 27, 38, 52, 67, 85, 104, 126, 149, 175, 202, 232, 263, 297, 332, 370, 409, 451, 494, 540, 587, 637, 688, 742, 797, 855, 914, 976, 1039, 1105, 1172, 1242, 1313, 1387, 1462, 1540, 1619, 1701, 1784, 1870, 1957, 2047, 2138, 2232, 2327 ]
[ "nonn", "easy" ]
A211958
[ 0, 3, 12, 37, 90, 186, 343, 582, 927, 1405, 2046, 2883, 3952, 5292, 6945, 8956, 11373, 14247, 17632, 21585, 26166, 31438, 37467, 44322, 52075, 60801, 70578, 81487, 93612, 107040, 121861, 138168, 156057, 175627, 196980, 220221, 245458, 272802, 302367 ]
[ "nonn" ]
A123186
[ 1, 1, 1, -2, -2, -2, 0, 0, 0, -8, -8, -8, 1112, 1112, 1112, -16336, -16336, -16336, 29760, 29760, 29760, 108608, 108608, 108608, 112587520, 112587520, 112587520, -3584451200, -3584451200, -3584451200, 17790850560, 17790850560, 17790850560, 208254684160, 208254684160 ]
[ "sign", "easy", "less" ]
A353495
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 0, 0, 0, 0, 1 ]
[ "nonn" ]
A120508
[ 1, 1, 2, 3, 4, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 12, 13, 14, 15, 16, 16, 16, 16, 17, 18, 19, 20, 20, 21, 22, 23, 24, 24, 25, 26, 27, 28, 28, 29, 30, 31, 32, 32, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 44 ]
[ "nonn" ]
A107186
[ 101, 157, 197, 313, 353, 593, 701, 709, 733, 853, 929, 1033, 1213, 1217, 1297, 1301, 1597, 1657, 1901, 1949, 2053, 2069, 2153, 2341, 2441, 2477, 2677, 2741, 2857, 2861, 2897, 3329, 3361, 3557, 3581, 3617, 3697, 3709, 3733, 3797, 4013, 4241 ]
[ "nonn", "easy" ]
A157080
[ 32788801, 131187601, 295196401, 524815201, 820044001, 1180882801, 1607331601, 2099390401, 2657059201, 3280338001, 3969226801, 4723725601, 5543834401, 6429553201, 7380882001, 8397820801, 9480369601 ]
[ "nonn", "easy" ]
A003147
[ 5, 11, 19, 31, 41, 59, 61, 71, 79, 109, 131, 149, 179, 191, 239, 241, 251, 269, 271, 311, 359, 379, 389, 409, 419, 431, 439, 449, 479, 491, 499, 569, 571, 599, 601, 631, 641, 659, 701, 719, 739, 751, 821, 839, 929, 971, 1019, 1039, 1051, 1091, 1129, 1171, 1181, 1201, 1259, 1301 ]
[ "nonn", "easy", "nice" ]
A123546
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 18, 30, 34, 29, 17, 9, 5, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 35, 136, 309, 465, 505, 438, 310, 188, 103, 52, 23 ]
[ "nonn", "tabf" ]
A115323
[ 1, 1, 1, 1, 1, 1, 2, 2, 3, 1, 2, 3, 4, 5, 5, 7, 1, 3, 6, 7, 9, 12, 12, 14, 17, 1, 4, 10, 16, 17, 22, 28, 31, 33, 38, 43, 1, 5, 15, 30, 43, 43, 55, 67, 81, 81, 92, 102, 114, 1, 6, 21, 50, 88, 114, 116, 141, 165, 203, 216, 229, 254, 275, 308, 1, 7, 28, 77, 159, 252, 308, 318, 371, 422 ]
[ "nonn", "tabl" ]
A152036
[ 1, 1, 2, 1, 2, 4, 1, 2, 4, 14, 1, 2, 4, 16, 48, 1, 2, 4, 18, 56, 202, 1, 2, 4, 20, 64, 248, 880, 1, 2, 4, 22, 72, 298, 1100, 4286, 1, 2, 4, 24, 80, 352, 1344, 5504, 21760, 1, 2, 4, 26, 88, 410, 1612, 6914, 28336, 118898, 1, 2, 4, 28, 96, 472, 1904, 8528, 36096, 157472 ]
[ "nonn", "uned", "tabl" ]
A094362
[ 1, 1, 2, 2, 4, 5, 7, 9, 13, 16, 22, 27, 36, 43, 56, 68, 87, 104, 130, 156, 193, 230, 281, 333, 404, 477, 572, 673, 802, 940, 1113, 1299, 1531, 1780, 2085, 2418, 2820, 3259, 3784, 4362, 5047, 5799, 6685, 7662, 8806, 10066, 11532, 13152, 15026, 17098, 19482 ]
[ "nonn" ]
A088173
[ 2, 3, 7, 23, 59, 383, 1283, 2579, 8663, 16763, 29759, 44159, 61583, 80627, 101363, 123863, 148199, 174443, 202667, 239531, 283631, 330287, 379571, 440087, 509783, 592727, 686363, 783707, 884831, 997727, 1136111, 1292927, 1506371, 1824467 ]
[ "easy", "nonn" ]
A070249
[ 10601, 11411, 30203, 31013, 1022201, 1120211, 1300031, 3002003, 100060001, 103000301, 111020111, 300020003, 300101003, 10002220001, 10200200201, 10210001201, 1000030300001, 1021000001201, 1030000000301, 1101010101011 ]
[ "base", "nonn" ]
A333818
[ 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1 ]
[ "nonn" ]
A276397
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
[ "nonn" ]
A360491
[ 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 4, 5, 1, 1, 2, 4, 7, 8, 1, 1, 2, 4, 10, 13, 13, 1, 1, 2, 4, 10, 19, 24, 21, 1, 1, 2, 4, 10, 20, 41, 44, 34, 1, 1, 2, 4, 10, 21, 43, 84, 81, 55, 1, 1, 2, 4, 10, 21, 58, 89, 180, 149, 89, 1, 1, 2, 4, 10, 21, 59, 120, 192, 372, 274, 144, 1 ]
[ "nonn", "tabl" ]
A148359
[ 1, 1, 2, 5, 15, 45, 155, 542, 1966, 7466, 28640, 112818, 452793, 1838031, 7579723, 31599165, 132977936, 565343035, 2421524022, 10449677575, 45409673570, 198464619163, 872445045025, 3854836942828, 17111520704731, 76299963048366, 341577472122899, 1534985507846434, 6922480431094339 ]
[ "nonn", "walk" ]
A209525
[ 203, 193676, 687132348, 4194606038254, 31813625228165210, 258381047085271680000, 2.14199331165785e+24, 1.7864055554315252e+28, 1.4925023459940456e+32 ]
[ "nonn" ]
A072463
[ 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 3, 2, 3, 2, 1, 1, 3, 1, 2, 2, 1, 1, 4, 1, 1, 1, 2, 1, 3, 3, 3, 1, 1, 1, 3, 1, 2, 2, 2, 1, 4, 1, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 3, 1, 3, 2, 1, 1, 6, 1, 3, 2, 1, 1, 1, 1, 2, 1, 1, 1, 8, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 6, 1, 1, 1, 1, 1, 5, 2, 1, 3, 1, 1, 5, 1, 3, 1, 1, 1, 2, 1, 3 ]
[ "nonn" ]
A196599
[ 1, 41, 356, 2783, 26558, 231416, 2094496, 18642341, 166805183, 1491811906, 13337565807, 119258582414, 1066351624700, 9534830750496, 85255510379995, 762312159348785, 6816218483839040, 60947226122620584, 544959719572903900 ]
[ "nonn" ]
A167283
[ 46, 74, 94, 106, 134, 158, 166, 178, 194, 226, 254, 262, 314, 326, 334, 346, 422, 446, 466, 502, 514, 526, 554, 586, 614, 634, 662, 674, 706, 718, 734, 746, 758, 766, 778, 794, 802, 818, 851, 878, 886, 898, 914, 934, 958, 974, 982, 998, 1006, 1018, 1081, 1082 ]
[ "nonn" ]
A321469
[ 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 4, 1, 3, 2, 2, 2, 5, 1, 2, 2, 4, 1, 5, 1, 3, 3, 2, 1, 6, 1, 3, 2, 3, 1, 5, 2, 5, 2, 2, 1, 7, 1, 2, 2, 4, 2, 5, 1, 3, 2, 4, 1, 8, 1, 2, 3, 3, 2, 5, 1, 6, 2, 2, 1, 7, 2, 2, 2, 5, 1, 7, 2, 3, 2, 2, 2, 8, 1, 3, 3, 5, 1, 5, 1, 5, 5 ]
[ "nonn" ]
A259736
[ 22, 36, 74, 136, 230, 414, 760, 1356, 2414, 4348, 7820, 14004, 25114, 45102, 80930, 145162, 260480, 467442, 838696, 1504818, 2700182, 4845016, 8693348, 15598530, 27988744, 50220456, 90110864, 161686882, 290116538, 520558722, 934043350 ]
[ "nonn" ]
A365385
[ 0, 0, 0, 1, 0, 2, 1, 2, 0, 3, 2, 4, 1, 3, 2, 1, 0, 4, 3, 6, 2, 5, 4, 2, 1, 4, 3, 3, 2, 2, 1, 2, 0, 5, 4, 8, 3, 7, 6, 3, 2, 6, 5, 4, 4, 3, 2, 4, 1, 5, 4, 5, 3, 4, 3, 3, 2, 3, 2, 4, 1, 3, 2, 2, 0, 6, 5, 10, 4, 9, 8, 4, 3, 8, 7, 5, 6, 4, 3, 6, 2, 7, 6, 6, 5, 5, 4, 5, 4, 4, 3, 6, 2, 5, 4, 4, 1, 6, 5, 7, 4, 6, 5, 4, 3, 5 ]
[ "nonn" ]
A140876
[ 2, 0, 6, -2, 2, 16, 0, -10, 10, 40, 2, -2, -36, 36, 96, 0, 14, -14, -112, 112, 224, -2, 2, 64, -64, -320, 320, 512, 0, -18, 18, 240, -240, -864, 864, 1152, 2, -2, -100, 100, 800, -800, -2240, 2240, 2560, 0, 22, -22, -440, 440, 2464, -2464, -5632, 5632, 5632, -2, 2, 144, -144, -1680, 1680, 7168, -7168, -13824, 13824 ]
[ "tabl", "sign" ]
A131463
[ 0, 2, 9, 9, 929, 9, 9, 9, 2633043, 49618850, 9, 110361958311, 2072735666087, 1831797169511, 91222349803976, 1359811476184687, 504939123701081900, 9, 122453792873589370000, 623626925849390000000 ]
[ "nonn" ]
A206329
[ 5, 30, 42, 78, 138, 186, 210, 222, 258, 330, 390, 410, 434, 462, 618, 762, 786, 798, 906, 930, 946, 966, 978, 1002, 1030, 1230, 1290, 1334, 1374, 1410, 1446, 1482, 1518, 1542, 1606, 1722, 1758, 1770, 1794, 1830, 1866, 1878, 1938, 1974, 2006, 2022, 2190, 2226 ]
[ "nonn" ]
A200436
[ 0, 6780, 270848, 3397130, 23380862, 111101654, 410475622, 1264140498, 3392223642, 8172417894, 18054265218, 37145223104, 72010763708, 132735430724, 234296453996, 398306196892, 655184386476, 1046825751528, 1629833368476 ]
[ "nonn" ]
A346256
[ 4, 8, 9, 16, 20, 25, 27, 32, 40, 45, 49, 56, 63, 64, 68, 75, 80, 81, 99, 116, 117, 121, 124, 125, 128, 135, 136, 147, 152, 164, 169, 171, 175, 184, 189, 192, 200, 208, 225, 232, 236, 243, 244, 248, 256, 272, 279, 280, 284, 289, 292, 296, 304, 315, 325, 328, 333, 340, 343, 344, 351, 356, 361, 363, 368, 369, 387, 400 ]
[ "nonn" ]
A255410
[ 2, 9, 35, 85, 203, 325, 547, 911, 1181, 1591, 2347, 2923, 3421, 4151, 5161, 6461, 7693, 8785, 10237, 11789, 13469, 14621, 16523, 19225, 21775, 23669, 25237, 27715, 29891, 34073, 36977, 40487, 43151, 48091, 50429, 53407, 55843, 61541, 68797, 71603, 77279, 80291, 84091, 88771, 91997, 96119, 101927, 108833, 115031, 123187 ]
[ "nonn" ]
A341620
[ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 5, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 0, 5, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 6, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 8 ]
[ "nonn" ]
A026354
[ 1, 2, 3, 3, 4, 5, 4, 6, 5, 7, 8, 6, 9, 10, 7, 11, 8, 12, 13, 9, 14, 10, 15, 16, 11, 17, 18, 12, 19, 13, 20, 21, 14, 22, 23, 15, 24, 16, 25, 26, 17, 27, 18, 28, 29, 19, 30, 31, 20, 32, 21, 33, 34, 22, 35, 23, 36, 37, 24, 38, 39, 25, 40, 26, 41, 42 ]
[ "nonn" ]
A013908
[ 12167, 78310985281, 504036361936467400, 3.2441509098952484e+24, 2.088046799984791e+31, 1.3439385404754511e+38, 8.650049417419386e+44, 5.567468501746135e+51 ]
[ "nonn" ]
A283082
[ 1, 1, 1, 9, 1, 57, 113, 233, 449, 953, 1969, 3625, 6401, 8697, 7665, 64489, 131009, 262073, 524209, 1048105, 2095361, 4192761, 8381937, 16761833, 33537985, 67059641, 134135729, 268271145, 536508673, 1073150457, 2145773041, 4291003369, 8585183169, 17166172089 ]
[ "nonn", "easy" ]
A219144
[ 1, 18, 78, 281, 1072, 4033, 15255, 57963, 220068, 835820, 3172817, 12044346, 45722019, 173574485, 658947323, 2501581220, 9496787730, 36052730049, 136867284190, 519590670019, 1972527813429, 7488329193659, 28428025632710 ]
[ "nonn" ]
A388118
[ 2, 1, 7, 2, 8, 8, 4, 7, 7, 7, 5, 3, 3, 5, 7, 9, 3, 0, 6, 9, 6, 7, 0, 1, 1, 4, 8, 5, 8, 3, 3, 7, 2, 4, 8, 5, 9, 0, 6, 7, 3, 1, 0, 4, 6, 1, 7, 6, 8, 8, 1, 2, 6, 4, 7, 9, 0, 0, 8, 6, 0, 9, 5, 5, 7, 9, 6, 4, 8, 3, 3, 1, 4, 7, 9, 2, 1, 3, 6, 6, 0, 5, 5, 7, 9, 6, 2 ]
[ "nonn", "cons" ]
A159067
[ 0, 3, 6, 5, 4, 6, 1, 0, 8, 2, 5, 4, 1, 5, 0, 8, 7, 1, 4, 3, 2, 4, 8, 7, 6, 0, 3, 7, 8, 3, 7, 6, 5, 8, 2, 1, 0, 2, 6, 5, 4, 7, 1, 0, 6, 1, 5, 4, 3, 6, 0, 8, 7, 0, 4, 3, 2, 5, 0, 3, 4, 8, 3, 2, 1, 4, 7, 6, 5, 7, 2, 1, 0, 3, 6, 5, 2, 6, 1, 0, 8, 2, 5, 4, 3, 5, 0, 8, 7, 1, 4, 8, 0, 4, 8, 7, 6, 0, 3, 2, 1, 3, 7, 6, 5 ]
[ "nonn", "less", "base" ]
A326887
[ 1, 2, 8, 48, 364, 3320, 35464, 433692, 5962548, 90931152, 1522657264, 27765229844, 547487475484, 11604952395816, 263091290017560, 6351255101776812, 162643987129698620, 4403250400372111000, 125649232950852710000, 3.7690133906159514e+21, 1.1855577229803409e+23 ]
[ "nonn" ]
A226034
[ 1, 11, 73, 368, 1552, 5755, 19337, 60054, 174801, 481760, 1266992, 3198963, 7791921, 18382187, 42139440, 94126547, 205343040, 438390320, 917501570, 1885269635, 3808353889, 7571955531, 14833349529, 28657374307, 54646711136, 102932171227, 191644299945 ]
[ "nonn" ]
A103881
[ 1, 1, 2, 1, 6, 2, 1, 12, 12, 2, 1, 20, 42, 18, 2, 1, 30, 110, 92, 24, 2, 1, 42, 240, 340, 162, 30, 2, 1, 56, 462, 1010, 780, 252, 36, 2, 1, 72, 812, 2562, 2970, 1500, 362, 42, 2, 1, 90, 1332, 5768, 9492, 7002, 2570, 492, 48, 2, 1, 110, 2070, 11832, 26474, 27174, 14240, 4060, 642, 54, 2, 1, 132, 3080, 22530, 66222, 91112, 65226, 26070, 6040, 812, 60, 2 ]
[ "nonn", "tabl" ]
A212422
[ 1, 2, 4, 11, 30, 79, 212, 574, 1588, 4455, 12478, 35377, 100335, 285385, 812648, 2318781, 6620447, 18935754, 54209820, 155482355, 446673973, 1284474758, 3698559438, 10659129412, 30740979089, 88719378807, 256240088606, 740502848865, 2141552451104, 6197576727082 ]
[ "nonn" ]
A310794
[ 1, 4, 7, 13, 14, 23, 23, 32, 30, 38, 41, 45, 52, 49, 61, 60, 68, 68, 73, 85, 76, 91, 85, 100, 98, 98, 115, 105, 126, 107, 129, 130, 128, 142, 129, 161, 136, 157, 155, 162, 174, 152, 187, 169, 190, 179, 187, 210, 182, 214 ]
[ "nonn" ]
A127117
[ 1, 10, 1011, 1011100, 10111001000, 101110010001010, 1011100100010101100, 1.0111001000101011e+22, 1.0111001000101012e+27, 1.0111001000101012e+32 ]
[ "easy", "nonn", "base" ]
A381576
[ 2, 3, 2, 5, 1, 7, 3, 3, 1, 11, 2, 13, 1, 1, 4, 17, 2, 19, 2, 1, 1, 23, 2, 5, 1, 3, 2, 29, 1, 31, 5, 1, 1, 1, 2, 37, 1, 1, 2, 41, 1, 43, 2, 2, 1, 47, 2, 7, 2, 1, 2, 53, 2, 1, 2, 1, 1, 59, 1, 61, 1, 2, 6, 1, 1, 67, 2, 1, 1, 71, 2, 73, 1, 2, 2, 1, 1, 79, 2, 4, 1, 83, 1, 1, 1 ]
[ "nonn", "easy" ]
A261356
[ 1, 1, 1, 2, 1, 2, 4, 1, 4, 4, 1, 3, 6, 3, 12, 12, 1, 6, 12, 8, 1, 4, 8, 6, 24, 24, 4, 24, 48, 32, 1, 8, 24, 32, 16, 1, 5, 10, 10, 40, 40, 10, 60, 120, 80, 5, 40, 120, 160, 80, 1, 10, 40, 80, 80, 32, 1, 6, 12, 15, 60, 60, 20, 120, 240, 160, 15, 120, 360, 480 ]
[ "nonn", "tabf" ]
A070658
[ 0, 1, 29, 29, 1, 15, 1, 14, 29, 1, 15, 1, 29, 29, 21, 15, 1, 29, 29, 1, 15, 21, 29, 29, 1, 15, 1, 29, 14, 1, 15, 1, 29, 29, 1, 0, 1, 29, 29, 1, 15, 1, 14, 29, 1, 15, 1, 29, 29, 21, 15, 1, 29, 29, 1, 15, 21, 29, 29, 1, 15, 1, 29, 14, 1, 15, 1, 29, 29, 1, 0, 1, 29, 29, 1, 15, 1, 14, 29, 1 ]
[ "nonn", "easy" ]
A245063
[ 2, 5, 7, 11, 13, 17, 19, 29, 31, 37, 43, 53, 59, 61, 67, 71, 73, 79, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 239, 241, 263, 269, 271, 277, 283, 293, 307, 311, 313, 317, 331 ]
[ "nonn", "base" ]
A328569
[ 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 3, 1, 1, 1, 5, 1, 1, 1, 2, 1, 4, 1, 5, 1, 1, 1, 6, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 5, 1, 4, 1, 2, 1, 3, 1, 9, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 1, 2, 1, 2, 1, 7, 1, 10, 1, 1, 1, 2, 1, 6, 1, 2, 1, 10, 1, 8, 1, 1, 1, 6, 1, 7, 1, 1, 1, 3, 1, 4, 1, 2, 1, 5, 1, 4, 1, 1, 1, 3 ]
[ "nonn" ]
A096736
[ 2, 3, 5, 5, 9, 7, 13, 10, 13, 13, 21, 14, 25, 18, 19, 19, 33, 21, 37, 23, 27, 29, 45, 27, 37, 34, 35, 33, 57, 34, 61, 38, 43, 45, 46, 40, 73, 50, 51, 45, 81, 47, 85, 52, 53, 61, 93, 53, 73, 59, 67, 62, 105, 61, 73, 63, 75, 77, 117, 65, 121, 82, 75, 74, 86, 75, 133, 81, 91 ]
[ "nonn" ]
A013208
[ 0, 1, -2, 3, -8, 45, -272, 1743, -13568, 125625, -1290752, 14554683, -181296128, 2473184805, -36501112832, 579439207623, -9859508338688, 179018972217585, -3453141256896512, 70518070842040560 ]
[ "sign" ]
A199390
[ 4, 5, 0, 2, 3, 5, 3, 1, 6, 4, 0, 0, 3, 2, 0, 4, 4, 6, 9, 8, 0, 7, 5, 5, 7, 4, 5, 3, 7, 6, 0, 7, 5, 4, 9, 5, 0, 4, 8, 6, 0, 6, 9, 0, 2, 8, 4, 7, 2, 6, 6, 4, 8, 6, 1, 4, 5, 6, 6, 2, 4, 1, 2, 5, 1, 3, 8, 1, 4, 5, 4, 2, 4, 3, 0, 1, 2, 2, 0, 7, 1, 4, 4, 5, 5, 7, 5, 2, 8, 3, 1, 8, 7, 5, 1, 0, 7, 4, 8 ]
[ "nonn", "cons" ]
A365056
[ 1, 1, 0, 1, -6, 46, -440, 5076, -68740, 1070056, -18835164, 369994780, -8025080096, 190501729848, -4912802070280, 136775150153656, -4088669684755440, 130620500241909380, -4441243727496127000, 160132524268963170000, -6.10278426421045e+21 ]
[ "sign" ]
A285931
[ 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ "nonn" ]
A262308
[ -1, 5, -6, 41, -85, -2069, 8605, 3990, 36685, -254525, -3603805, 13479425, 23579969, 237487433, -1795846200, -6788705842, 44427298525, -48251561329, 1187033450882, -5419042629125, -29806300419830, 195349574327650, -288613313574270, 2714096998599960, -8002401055092375 ]
[ "sign" ]
A087911
[ 2, 3, 5, 17, 191, 257, 1009, 4561, 4591, 21601, 57601, 54121, 86677, 176401, 415801, 291721, 950041, 1259701, 3049201, 1670761, 6098401, 3880801, 5654881, 13759201, 18618601, 14414401, 18960481, 15135121, 31600801, 45405361, 35814241 ]
[ "base", "nonn" ]
A106146
[ 4, 6, 9, 0, 4, 5, 1, 2, 5, 6, 3, 4, 5, 8, 9, 6, 9, 1, 5, 7, 8, 2, 5, 9, 4, 7, 2, 5, 6, 7, 1, 3, 4, 5, 6, 1, 5, 8, 9, 1, 2, 3, 9, 3, 4, 1, 2, 3, 5, 6, 5, 8, 9, 1, 6, 9, 7, 8, 3, 5, 7, 4, 1, 2, 3, 5, 6, 9, 3, 4, 5, 7, 8, 9, 1, 6, 5, 7, 7, 9, 3, 4, 9, 2, 5, 7, 4, 8, 7, 9, 1, 5, 8, 9, 1, 2, 3, 5, 9, 4, 9, 1, 3, 6, 7 ]
[ "nonn" ]
A324375
[ 1, 1, 2, 3, 5, 13, 29, 68, 165, 339, 1249, 3706, 11749, 39151, 105714, 321361, 938529, 4112583, 16778058, 64073812, 260625900, 917269164, 3451696842, 13068376545, 48655092849 ]
[ "nonn" ]
A064131
[ 2, 3, 2, 2, 2, 2, 2, 2, 4, 4, 2, 4, 2, 2, 4, 4, 2, 8, 2, 4, 2, 4, 4, 2, 8, 4, 4, 4, 4, 8, 2, 4, 2, 4, 4, 2, 2, 8, 4, 16, 4, 4, 4, 2, 8, 4, 4, 8, 4, 4, 8, 8, 4, 4, 2, 4, 8, 8, 4, 4, 8, 4, 8, 16, 2, 2, 2, 4, 8, 32, 8, 32, 4, 4, 8, 16, 16, 2, 4, 8, 8, 32, 8, 16, 32, 8, 32, 32, 8, 8, 4 ]
[ "nonn" ]
A286210
[ 0, 4, 17, 62, 238, 912, 3468, 13224, 50655, 194672, 750165, 2897898, 11219322, 43520672, 169113746, 658172740, 2565143148, 10010037116, 39107620002, 152948221004, 598750691827, 2346021879720, 9199672561659, 36102743330922 ]
[ "nonn" ]
A140029
[ 3, 619, 643, 691, 859, 1123, 1291, 1483, 1699, 2203, 2467, 2539, 2707, 2803, 2971, 3331, 3499, 3547, 4051, 4339, 4651, 4723, 4987, 5179, 5347, 5659, 6163, 6571, 6691, 7027, 7243, 7507, 8011, 8419, 8539, 9043, 9091, 9859, 9883, 9931, 10099 ]
[ "nonn", "easy" ]
A375446
[ 1, 1, 2, 2, 5, 13, 6, 16, 43, 116, 24, 66, 182, 503, 1393, 120, 336, 942, 2644, 7429, 20894, 720, 2040, 5784, 16410, 46586, 132329, 376093, 5040, 14400, 41160, 117696, 336678, 963448, 2758015, 7897952, 40320, 115920, 333360, 958920, 2759064, 7940514, 22858094, 65816267, 189550849 ]
[ "nonn", "tabl" ]
A171868
[ 1, 2, 2, 5, 2, 5, 3, 4, 6, 5, 6, 3, 3, 5, 4, 3, 4, 3, 6, 9, 3, 5, 3, 6, 3, 4, 5, 6, 5, 4, 4, 5, 4, 4, 6, 4, 4, 6, 6, 5, 6, 4, 4, 9, 3, 3, 6, 4, 3, 10, 3, 4, 4, 6, 4, 5, 3, 3, 6, 6, 7, 3, 5, 4, 5, 4, 6, 6, 6, 5, 4, 6, 4, 4, 6, 4, 5, 4, 7, 3, 4, 5, 4, 8, 10, 3, 5, 5, 6, 3, 8, 4, 4, 6, 7, 6, 6, 10, 4, 4, 8, 3, 4, 4 ]
[ "nonn" ]
A053704
[ 4, 9, 25, 49, 81, 169, 243, 361, 729, 841, 1369, 1849, 2209, 2401, 3721, 5041, 6859, 7921, 10609, 11449, 14641, 16129, 17161, 19321, 19683, 28561, 29791, 29929, 36481, 44521, 49729, 50653, 54289, 57121, 66049, 85849, 97969, 113569, 128881 ]
[ "nonn" ]
A354994
[ 1, 3, 4, 5, 7, 8, 9, 11, 13, 15, 16, 17, 19, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 37, 40, 41, 43, 44, 45, 47, 49, 51, 53, 59, 60, 61, 63, 64, 65, 67, 69, 71, 73, 76, 77, 79, 81, 83, 84, 85, 87, 88, 89, 91, 92, 95, 96, 97, 99, 101, 103, 104, 107, 108, 109, 112, 113, 115, 117, 119, 121, 123, 124, 125, 127, 128, 131 ]
[ "nonn" ]
A367127
[ 1, 1, 1, 2, 4, 6, 17 ]
[ "nonn", "more" ]
A287030
[ 0, 0, 1, 1, 1, 2, 1, 1, 3, 5, 3, 9, 17, 6, 2, 30, 41, 26, 10, 81, 131, 111, 30, 5, 242, 491, 357, 134, 35, 838, 1625, 1274, 652, 140, 14, 2799, 5497, 5202, 2556, 676, 126, 9365, 20581, 19827, 10200, 3610, 630, 42, 33616, 76561, 74797, 44880, 16390, 3334, 462, 122937, 282591, 301188, 190278, 72490, 19218, 2772, 132, 449698, 1089375, 1219920, 788654, 341770, 97890, 16108, 1716, 1696724, 4285737, 4893603, 3398950, 1578577, 474838, 99386, 12012, 429 ]
[ "nonn", "tabf" ]
A216520
[ 1, 1, 1, 3, 5, 1, 16, 35, 12, 1, 125, 328, 149, 22, 1, 1296, 3894, 2125, 425, 35, 1, 16807, 56221, 35044, 8555, 970, 51, 1, 262144, 958152, 661878, 186809, 26180, 1918, 70, 1, 4782969, 18849384, 14145858, 4467092, 731059, 66836, 3430, 92, 1 ]
[ "nonn", "tabl" ]
A243946
[ 1, 7, 91, 1345, 20995, 337877, 5544709, 92234527, 1549694195, 26237641045, 446925926881, 7650344197987, 131489964887341, 2267722252458475, 39224201631222470, 680160975405238100, 11820134678459908000, 205812328555924130000, 3.589742656727603e+21, 6.2707329988264215e+22 ]
[ "nonn", "easy" ]
A081674
[ 0, 1, 6, 29, 130, 561, 2366, 9829, 40410, 164921, 669526, 2707629, 10919090, 43942081, 176565486, 708653429, 2841788170, 11388676041, 45619274246, 182670807229, 731264359650, 2926800830801, 11712433499806, 46865424529029, 187508769705530, 750176293590361, 3001128818666166 ]
[ "easy", "nonn" ]
A369134
[ -1, 0, 1, 0, 0, -1, 0, 0, 7, 3, 0, 0, -14, -6, -1, 0, 0, 693, 297, 55, 5, 0, 0, -30030, -12870, -2431, -260, -15, 0, 0, 4150146, 1778634, 337480, 37310, 2625, 105, 0, 0, -21441420, -9189180, -1745458, -194480, -14280, -714, -21 ]
[ "sign", "tabl" ]
A383845
[ 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 1, 2, 4, 5, 3, 1, 2, 4, 5, 3, 6, 1, 2, 4, 5, 7, 3, 6, 1, 2, 4, 5, 7, 8, 6, 3, 1, 2, 4, 5, 7, 8, 3, 6, 9, 1, 2, 4, 5, 7, 8, 10, 3, 9, 6, 1, 2, 4, 5, 7, 8, 10, 11, 6, 9, 3, 1, 2, 4, 5, 7, 8, 10, 11, 3, 6, 12, 9, 1, 2, 4, 5, 7, 8, 10, 11, 13, 3, 9, 12, 6 ]
[ "nonn", "tabl" ]
A244927
[ 1, 5, 37, 25, 2, 185, 15873, 125, 12345679, 1, 1, 925, 8547, 79365, 74, 625, 65359477124183, 61728395, 5847953216374269, 5, 5291, 5, 48309178743961354000, 4625, 4, 42735, 4.1152263374485596e+24, 396825, 3.831417624521073e+25, 37, 3584229390681, 3125, 3367, 326797385620915 ]
[ "nonn", "base" ]
A227608
[ 1, 2, 2, 6, 3, 6, 2, 3, 3, 2, 30, 15, 15, 15, 30, 2, 15, 15, 15, 15, 2, 42, 21, 105, 105, 105, 21, 42, 2, 21, 21, 105, 105, 21, 21, 2, 30, 15, 105, 105, 105, 105, 105, 15, 30, 2, 15, 15, 105, 105, 105, 105, 15, 15, 2, 66, 33, 165, 165, 1155, 231, 1155, 165, 165, 33, 66, 2, 33, 33, 165, 165, 231, 231, 165, 165, 33, 33, 2 ]
[ "nonn", "frac", "tabl" ]