id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A276539_aug
[ 1, 4, 9, 8, 9, 0, 4, 8, 4, 4, 1, 2, 0, 8, 4, 4, 3, 1, 5, 6, 7, 7, 3, 1, 3, 2, 5, 9, 5, 3, 8, 1, 8, 6, 4, 5, 6, 9, 7, 0, 6, 1, 5, 7, 5, 3, 7, 4, 9, 4, 3, 3, 5, 3, 5, 7, 2, 0, 5, 7, 6, 4, 1, 6, 7, 5, 5, 9, 7, 9, 6, 1, 7, 3, 9, 5, 5, 2, 0, 2, 4, 9, 7, 5, 8, 0, 3, 0, 3, 3, 3, 1, 6, 6, 7, 8, 6, 6, 5, 1, 2, 1, 8, 0, 9 ]
null
A203745
[ 1, 9, 343, 159201, 405644148, 8381289855897, 1133306048131390800, 1.0939470853204639e+24, 7.194345828945469e+30, 3.2752337198574813e+38, 1.0222435869066248e+47 ]
[ "nonn" ]
A211610_aug
[ -12, -672, -483936, -5051723424, -768641934284352, -1.7253364466307356e+21, -5.774461329518683e+28, -2.906237741000971e+37, -2.2144788323468126e+47, -2.5686533539832643e+58 ]
null
A221518_aug
[ 8, 0, 2088, 248, 33860, 9940, 219352, 92934, 898020, 463208, 2789864, 1626970, 7206628, 4570812, 16309080, 10995950, 33410372, 23598544, 63325480, 46396098, 112766724, 85099940, 190785368, 147533782, 309259300, 244098360, 388282154 ]
null
A274611_aug
[ 0, 10, 20, 30, 40, 50, 60, -5, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 5, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 15, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 25, 560, 570, 580, 590, 600, 610 ]
null
A130282_aug
[ 11, 23, 39, 41, 59, 64, 83, 111, 134, 143, 153, 179, 181, 219, 263, 307, 311, 363, 373, 386, 419, 479, 543, 571, 584, 611, 683, 703, 759, 781, 839, 900, 923, 989, 1011, 1103, 1156, 1199, 1299, 1403, 1405, 1425, 1511, 1546, 1623, 1739, 1769, 1859, 1983, 2111 ]
null
A322762_aug
[ 1, 1, 12, 1, 11, 123, 1, 11, 12, 112, 1234, 1, 11, 11, 112, 121, 1123, 12345, 1, 11, 11, 112, 12, 111, 1123, 123, 1212, 11234, 123456, 1, 11, 11, 112, 11, 111, 1123, 121, 112, 1112, 11234, 1231, 12123, 112345, 1234567, 1, 11, 11, 112, 11, 111, 1123, 12, 111 ]
null
A229394_aug
[ 1, 36, 126, 9, 2916, 7440174, 387420489, 223154201664, 49986541172736, 228509902503936 ]
null
A284557_aug
[ 10, 0, 5, 0, 10, 10, 10, 0, 5, 5, 10, 0, 10, 0, 0, 10, 0, 5, 10, 0, 10, 10, 10, 0, 5, 5, 10, 5, 0, 5, 5, 0, 5, 10, 0, 10, 5, 5, 5, 0, 5, 5, 10, 0, 10, 0, 0, 5, 10, 0, 5, 10, 5, 5, 5, 0, 5, 5, 10, 5, 0, 5, 5, 0, 5, 10, 0, 10, 5, 5, 5, 10, 0, 0, 5, 10, 5, 10, 10, 0, 5, 10, 0, 5, 0, 0, 0, 5, 10, 10, 0, 10, 5 ]
null
A078273_aug
[ 11, -22, 33, -44, 55, -66, 77, -88, 99, -100, 1111, -1212, 1131, -1414, 555, -1616, 1717, -1188, 1919, -200, 2121, -2222, 322, -2424, 225, -2262, 2727, -2828, 2929, -300, 1333, -3232, 3333, -3434, 3535, -3636, 333, -3838, 3393, -400, 4141, -4242, 344, -4444, 4455, -644, 4747, -4848 ]
null
A215505_aug
[ -1, -1, -4, -25, -200, -1888, -20158, -237357, -3032188, -41554144, -605964370, -9345693140, -151727166822, -2583300560490, -45984983349166, -853637181574329, -16489023127843088, -330789284905928400, -6880312907650894000, -148151276593976700000, -3.297947033016039e+21 ]
null
A089486_aug
[ 5, 5, 11, 11, 29, 5, 5, 11, 7, 59, 5, 11, 7, 23, 3, 31, 29, 5, 29, 5, 5, 17, 3, 11, 41 ]
null
A174189_aug
[ 7, 1, 12, 9, 30, 24, 63, 36, 102, 90, 126, 117, 150, 135, 165, 156, 180, 171, 225, 183, 270, 234, 369, 285, 399, 390, 447, 402, 501, 456, 537, 507, 582, 570, 627, 624, 651, 642, 660, 654, 735, 720, 777, 762, 864, 855, 885, 870, 936, 930, 945 ]
null
A297657_aug
[ 5, 5, 2, 3, 5, 1, 1, 3, 5, 0, 0, 3, 3, 1, 5, 5 ]
null
A083054_aug
[ 2, -4, 4, 0, 0, -2, 2, -2, 4, -4, 0, 0, 2, -2, 4, -4, 0, 0, 2, -2, 4, -4, 4, 0, 0, -2, 2, -4, 4, 0, 0, -2, 2, -4, 4, -4, 0, 0, 2, -2, 4, -4, 0, 0, 2, -2, 4, -4, 0, 0, 0, -2, 2 ]
null
A104864_aug
[ 0, 1, 3, 16, 28, 52, 88, 148, 245, 402, 656, 1067, 1732, 2818, 4569, 7396 ]
null
A085941_aug
[ 1, -2, 4, -2, 4, -2, 4, -2, 4, -2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0 ]
null
A085625_aug
[ 25, 50, 65, 85, 100, 125, 130, 145, 169, 170, 185, 200, 205, 221, 225, 250, 260, 265, 289, 290, 305, 338, 340, 365, 370, 377, 400, 410, 442, 445, 450, 481, 485, 493, 500, 505, 520, 530, 533, 545, 565, 578, 580, 585, 610, 629, 676, 680, 685, 689, 697, 730 ]
null
A005315_aug
[ 1, 1, 2, 8, 42, 262, 1828, 13820, 110954, 933458, 8152860, 73424650, 678390116, 6405031050, 61606881612, 602188541928, 5969806669034, 59923200729046, 608188709574124, 6234277838531806, 64477712119584610, 672265814872773000, 7060941974458062000 ]
null
A109242_aug
[ 4, 114, 11214, 1122214, 112232214, 11223332214, 1122334332214, 112233444332214, 11223344544332214, 1122334455544332200, 112233445565544330000, 1.1223344556665544e+22, 1.1223344556676655e+24, 1.1223344556677766e+26, 1.1223344556677878e+28 ]
null
A019885_aug
[ 9, 7, 0, 2, 9, 5, 7, 2, 6, 2, 7, 5, 9, 9, 6, 4, 7, 2, 3, 0, 6, 3, 7, 7, 8, 7, 4, 0, 3, 3, 9, 9, 0, 3, 7, 7, 6, 3, 2, 2, 6, 0, 8, 5, 2, 4, 4, 3, 0, 8, 2, 9, 1, 5, 6, 5, 6, 5, 8, 8, 7, 6, 2, 3, 2, 3, 5, 5, 5, 7, 3, 5, 8, 3, 6, 6, 3, 0, 9, 2, 9, 6, 5, 5, 4, 4, 2, 9, 2, 2, 4, 4, 5, 3, 1, 9, 3, 2, 2 ]
null
A145550_aug
[ 1, 2, 4, 8, 17, 37, 85, 200, 486, 1205, 3047, 7813, 20299, 53271, 141078, 376443, 1011235, 2732211, 7420301, 20244682, 55460790, 152498393, 420727722, 1164290658, 3230977128, 8989148518, 25068499670 ]
null
A069322_aug
[ 1, 1, 1, 1, 4, 1, 1, 6, 6, 1, 1, 9, 16, 9, 1, 1, 12, 28, 28, 12, 1, 1, 14, 45, 64, 45, 14, 1, 1, 17, 65, 119, 119, 65, 17, 1, 1, 20, 89, 198, 256, 198, 89, 20, 1, 1, 23, 117, 307, 484, 484, 307, 117, 23, 1, 1, 25, 149, 449, 837, 1024, 837, 449, 149, 25, 1, 1, 28, 184, 629 ]
null
A060418_aug
[ 1, 2, 2, -6, 2, 4, 2, -6, 6, -6, 4, -3, 0, 3, -2, 4, -3, 1, 0, 0, 2, -1, 1, 0, -8, 2, 4, 2, -6, 4, -4, 4, 2, 0, -4, 2, -1, 1, 0, 2, -1, 1, 0, 0, 0, -7, 1, 4, 2, -6, 6, -5, 1, 2, -1, 3, -2, 0, 1, 0, 1, -2, -4, 0, 4, -4, 4, 0, 2, -4, 4, -2, 0, 2, -1, 1, 0, -5, 5, 0, -5, 0, 0, 5, -5, 5, -2, -1, 0, 1, 2, -1, 1, 0, -4, 4, -4, 0, 0, 2, 0, -1, 3, -2 ]
null
A129489_aug
[ 6, 20, 20, 6320 ]
null
A011583_aug
[ 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20, 20, 20, -20, -20, -20, -20, 20, 20, -20, 20, 0, 20, -20 ]
null
A231559_aug
[ 0, 0, 0, 0, 1, 2, 3, 4, 4, 4, 4, 4, 5, 6, 7, 8, 8, 8, 8, 8, 9, 10, 11, 12, 12, 12, 12, 12, 13, 14, 15, 16, 16, 16, 16, 16, 17, 18, 19, 20, 20, 20, 20, 20, 21, 22, 23, 24, 24, 24, 24, 24 ]
null
A306245_aug
[ 3, 6, 9, 12, 15, 18, 21, 24, 30, 33, 36, 39, 48, 63, 66, 69, 72, 84, 135, 180, 183, 186, 189, 204, 333, 870, 1026, 1029, 1032, 1035, 1053, 1320, 5157, 15624, 16233, 16236, 16239, 16242, 16263, 16746, 34593, 360009, 742386, 745017, 745020, 745023, 745026, 745050, 745845, 807618, 5446293, 86112324, 112731735, 112744155, 112744158 ]
null
A306789_aug
[ 1, 2, 18, 800, 183750, 224042112, 1475939646720, 53195808994099200, 1.0587785727897772e+22, 1.1721562427290212e+28, 7.259649351609536e+34, 2.5271565306196993e+42, 4.9639527909792376e+50 ]
null
A177103
[ 0, 4, 5, 6, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 21, 22, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84 ]
[ "nonn", "easy" ]
A156160_aug
[ -2809, -169, -3157729, -93025, -3643933225, -107267449, -4205095700689, -123786459889, -4852676794578649, -142849467361225, -5599984815847977000, -164848161548310530, -6.462377624811771e+21, -190234635577282920000 ]
null
A001318_aug
[ 145, 155, 176, 187, 210, 222, 247, 260, 287, 301, 330, 345, 376, 392, 425, 442, 477, 495, 532, 551, 590, 610, 651, 672, 715, 737, 782, 805, 852, 876, 925, 950 ]
null
A048120_aug
[ 0, 0, -2, -6, -24, -84, -312, -1140, -4248, -15852, -59688, -225624, -857424, -3270216, -12518472, -48062520, -185034360, -714038448, -2761343064, -10698992304, -41525207448, -161418403008, -628356425856, -2449152822168, -9557303840184 ]
null
A267681_aug
[ -1, 0, -21, -99, -471, -1935, -8031, -32319, -130431, -522495, -2094591, -8381439, -33544191, -134189055, -536829951, -2147368959, -8589770751, -34359279615, -137438298111, -549753978879, -2199020634111, -8796085682175, -35184361603071, -140737458995199, -562949911478271 ]
null
A030588_aug
[ 1, 1, 3, 2, 3, 3, 3, 4, 3, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]
null
A074193_aug
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null
A100573_aug
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null
A123730_aug
[ 1, 1, 0, -1, 3, -1, 4, 0, -1, -7, -1, -4, 8, 0, -1, -11, 2, -21, -8, 13, 0, -1, 57, -10, 46, -69, -13, 19, 0, -1, 35, 37, 113, 150, -160, -19, 26, 0, -1, -533, 129, -478, 609, 345, -312, -26, 34, 0, -1, 141, -946, -520, -2380, 1945, 668, -546 ]
null
A239820_aug
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null
A272796_aug
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null
A374472_aug
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null
A033629_aug
[ 3, 5, 3, 5, 3, 5, 7, 2, 4, 6, 1, 1, 6, 3, 0, 5, 0, 2, 7, 4, 4, 6, 1, 8, 5, 0, 0, 7, 2, 7, 2, 4, 4, 1, 6, 6, 8, 3, 8, 0, 7, 7, 9, 4, 6, 3, 8, 3, 5, 0, 0, 5, 7 ]
null
A099153_aug
[ 4, 28, 448, 124768, 9729221488, 59161094212006750000, 2.187521917726212e+39, 2.990782587832852e+78 ]
null
A243437_aug
[ -17, 43, -2203, 19699, -1594339, 7625597485003, -2.3929932923061753e+23, 4.23911582752162e+28 ]
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A366224_aug
[ 4, -8, 92, -6680, 1688776, -781166204 ]
null
A168571_aug
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null
A147713_aug
[ 9694845, 9694846, 6.480491636708849e+31, 6.480491636709183e+31, 1.6178076809137316e+47 ]
null
A048303_aug
[ 1, 0, 3, 2, 5, 4, 14, 7, 28, 21, 36, 35, 50, 43, 64, 57, 72, 71, 86, 79, 100, 93, 108, 107, 122, 115, 136, 129, 144, 143, 158, 151, 172, 165, 180, 179, 194, 187, 208, 201, 216, 215, 302, 259, 388, 345, 432, 431, 518, 475, 604, 561, 648, 647, 734, 691, 820, 777 ]
null
A190783_aug
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A234581_aug
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null
A110165_aug
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null
A191938_aug
[ 0, 0, 0, 1, 615 ]
null
A314157_aug
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null
A042860_aug
[ 5, 3, 0, 5, 2, 5, 6, 3, 2, 4, 0, 2, 5, 2, 4 ]
null
A129189_aug
[ 5, 12, 22, 34, 50, 69, 93, 119, 149, 186, 226, 272, 322, 375, 432, 495, 564, 635, 713, 796, 881, 972, 1067, 1168, 1278, 1392, 1508, 1629, 1753, 1881, 2023, 2170, 2323, 2478, 2643, 2810, 2984, 3164, 3348, 3538, 3734, 3933, 4143, 4355, 4571, 4789, 5019, 5262, 5509, 5758, 6012, 6273, 6536, 6809, 7088, 7373, 7665, 7959 ]
null
A006458_aug
[ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
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A349868_aug
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A048011_aug
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A126054_aug
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A319570_aug
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A037742_aug
[ 2, -174, 14096, -1141788, 92484830, -7491271242, 606792970604, -49150230618936, 3981168680133818 ]
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A321141_aug
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null
A062279_aug
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null
A167234_aug
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null
A365730_aug
[ -1, 0, 0, -9, -22, -35, -1224, -5985, -17710, -269100, -1805076, -7594752, -76404460, -589602585 ]
null
A141705_aug
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A129790_aug
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A227336
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A352489_aug
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A316041_aug
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A358776_aug
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A052999
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[ "base", "easy", "nonn" ]