id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A204259_aug
[ 2, 1, 3, 3, 2, 1, 2, 1, 1, 3, 3, 2, 2, 1, 3, 3, 2, 1, 1, 3, 1, 2, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 1, 3, 3, 2, 2, 1, 1, 3, 1, 2, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 2, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 1, 3, 3, 2, 2, 1, 3 ]
null
A036671_aug
[ 0, 0, 1, 2, 5, 12, 29, 73, 185, 475, 1231, 3232, 8506, 22565, 60077, 160629, 430724, 1158502, 3122949, 8437289, 22836877, 61918923, 168139339, 457225555, 1244935251, 3393754661, 9261681937, 25301337669, 69184724389, 189349490641 ]
null
A090002_aug
[ 0, -1, 2, -2, 1, -1, 1, 0, 1, -2, 0, -1, 0, -2, 2, -1, 1, -2, 2, -2, 2, 0, 0, -1, 2, -1, 2, -1, 2, -2, 0, -2, 1, -2, 2, 0, 2, 0, 0, -2, 2, 0, 0, 0, 1, -2, 0, -2, 2, -2, 2, 0, 2, 0, 0, -2, 1, 0, 1, 0, 0, 0, 1, 0, 1, -2, 2, 0, 1, -1, 2, -1, 1, -2, 0, -2, 0, 0, 2, -2, 2, -2, 2, -1, 2, 0, 0, -1, 1, -2, 0, -2, 2, -2, 0, 0, 2, -1, 1, -2, 0, -2 ]
null
A006983_aug
[ -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -7, 0, 4, 18, 152, 433, 1144, 2993, 7893, 20558, 54533, 144153, 378189, 990973, 2578073, 6674059, 17086910 ]
null
A147862_aug
[ 4, 0, 2, 4, 0, 1, 4, 3, 2, 3, 3, 2, 1, 0, 0, 4, 1, 0, 3, 1, 0, 4, 0, 3, 1, 2, 1, 1, 0, 3, 0, 2, 1, 2, 2, 1, 5, 2, 1, 3, 0, 1, 2, 3, 0, 4, 1, 0, 3, 4, 3, 0, 4, 1, 0, 2, 5, 0, 2, 4, 0, 2 ]
null
A248471_aug
[ 1836, -51351, 1939569, -91161324, 5371241076, -379289783943, 31743526011573, -3086922160639176, 344755985714923500, -43711167222425080000, 6.234131447371071e+21, -9.920733632754712e+23 ]
null
A178194_aug
[ -3, 0, 87, 9, 81, 15, 57, 33, 41054895, 24, 63, 36, 39, 1608, 51, 120, 45, 99, 69, 141, 50577, 174, 159, 72, 3465, 108, 1527, 156, 90592989, 312, 44067, 132, 459, 105, 56367, 180, 1101, 486, 429, 273, 190545, 270, 339, 3132, 9339225, 168, 4128315, 3120, 309, 144, 657 ]
null
A003300_aug
[ 1, -1, 18, -24, 27216, -5878656, 105815808, -346652587008, 693305174016, -299507835174912, 102431679629819900, -75255927891296260, 451535567347777540, -422637291037519800000, 4.7927068803654745e+23 ]
null
A349931_aug
[ -4, -18, -28, -48, -52, -72, -80, -99, -116, -124, -153, -169, -175, -188, -207, -236, -244, -261, -275, -289 ]
null
A300148_aug
[ 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 51, 153, 459, 1377, 13, 39, 117, 7, 21, 63, 189, 567, 1701, 70, 210, 630, 1890, 5670, 17010, 7, 21, 63, 189, 567, 1701, 70, 210, 630, 1890, 5670, 17010, 7, 21, 63, 189, 567, 1701, 70, 210, 630, 1890, 5670, 17010, 7, 21, 63, 189, 567, 1701, 70, 210, 630, 1890, 5670, 17010, 7 ]
null
A066297_aug
[ 1, 6, 18, 0, 72, 30, 252, 42, 720, 810, 3870, 4752, 16416, 23556, 75852, 126360, 343872 ]
null
A212144_aug
[ 7, 7, 49, 14, 347, 142, 1339, 724, 3664, 2288, 8231, 5611, 16120, 11683, 28663, 21719, 47375, 37129, 74056, 59590, 110674, 90995, 159401, 133375, 222688, 189091, 303217, 260642, 403853, 350848, 527734, 462712, 678061, 599339, 764329 ]
null
A022792_aug
[ 8, 16, 32, 48, 72, 104, 136, 176, 216, 264, 320, 376, 440, 504, 576, 656, 736, 824, 912, 1008, 1112, 1216, 1328, 1440, 1560, 1688, 1816, 1952, 2088, 2232, 2384, 2536, 2696, 2864, 3032, 3208, 3384, 3568, 3760, 3952, 4152, 4352, 4560, 4776, 4992, 5216, 5440, 5672, 5912, 6152, 6400, 6648, 6904, 7168 ]
null
A011587_aug
[ 1, -2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 2, -2, 0, 2, -2, 0, 0, 2, -2, 2, 0, 0, 0, -2, 0, 2, -1, 1, -2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 2, -2, 0, 2, -2, 0, 0, 2, -2, 2, 0, 0, 0, -2, 0, 2, -1, 1, -2, 0, 2, 0, 0, 0, -2, 2, -2, 0, 0, 2, -2, 0, 2, -2, 0, 0, 2, -2, 2 ]
null
A361243_aug
[ 1, 2, 7, 86, 2623, 110827, 5348241, 279238042, 15407288031, 886193980524, 52657605774336, 3211917351963001, 200178871622126620 ]
null
A324216_aug
[ 265531, 306211, 379357, 450853, 735019, 1132747, 1169479, 2120167, 2670981, 4095087, 4312447, 4421095 ]
null
A326878_aug
[ 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1 ]
null
A349810_aug
[ 2, 3, 5, 6, 7, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 26, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 51, 52, 53, 55, 57, 58, 59, 60, 61, 62, 63, 65, 66, 67, 68, 69, 70, 71, 73, 74, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 97, 99, 101, 102, 103, 105, 106, 107, 109, 110 ]
null
A053274_aug
[ 25, 25, -25, 0, 50, -50, -25, 75, -50, 0, 75, -100, -25, 125, -75, -25, 150, -150, -50, 175, -150, 0, 225, -200, -75, 275, -225, -50, 325, -325, -75, 425, -300, -75, 475, -450, -125, 550, -475, -75, 675, -600, -175, 825, -650, -125, 900, -850, -225, 1100, -875, -225, 1275, -1125, -275, 1450, -1225, -225, 1700, -1475, -400, 1950, -1625, -375, 2200, -1975, -475, 2600, -2100, -475, 2925, -2550, -650, 3325, -2800, -600, 3800, -3275 ]
null
A011547_aug
[ 1, -14, 141, -1414, 14142, -141421, 1414213, -14142135, 141421356, -1414213562, 14142135623, -141421356237, 1414213562373, -14142135623730, 141421356237309, -1414213562373095, 14142135623730950 ]
null
A211041_aug
[ 4, 0, 0, 8, 16, 16, 0, 16, 16, 8, 16 ]
null
A166218_aug
[ 404, 4, 418040, 15920, 65898220, 6394928, 3725475984, 560083568, 100049598908, 20349379876, 1627076420224, 427970936288, 18840037198076, 5790803387556, 56666272704784 ]
null
A128104_aug
[ 2, 52, 1092, 22020, 442403, 8886096, 178482295, 3584912826, 72004899325 ]
null
A036123_aug
[ 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1 ]
null
A327100_aug
[ -5, -4, 2, 14, 30, 42, 122, 254, 266, 270, 286, 298, 302, 314, 510, 526, 538, 542, 554, 558, 570, 762, 778, 782, 794, 798, 1034, 1050, 2058, 2062, 2074, 2078, 2090, 2094, 2106, 2298, 2302, 2318, 2330, 2346, 2554, 2558, 2570, 2590, 2602, 2810, 2814, 2826, 2842 ]
null
A032868_aug
[ 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 16, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 11, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 4, 1, 6, 1, 1, 2, 1, 1 ]
null
A224992_aug
[ -4, -12, -72, -576, -5472, -57600, -643968, -7446528, -87676416, -1042034688, -12443940864, -148964474880, -1785396879360, -21411701784576, -256862057103360, -3081874499960832, -36979672889032700, -443739148007768060, -5324768216134189000, -63896609233865540000, -766755654647937000000 ]
null
A153337_aug
[ 0, -5, 23, -137, 719, -3625, 17583, -83025, 383903, -1746281, 7839215, -34812145, 153204063, -669108497, 2903267039, -12526343585, 53779871551, -229895033833, 978965187183, -4154438114481, 17575883030495, -74150192517809 ]
null
A350624_aug
[ 0, -1, -2, 3, 1, -28, -99, 20, -931, -10527, 76400, 71117, -7705242, -97805561, 317884519, -6053168484, -584285903929, 17516504939480, 21171512841831, -20045208029885440, -987005650468865500, 26826505806361750000, -24519007717765930000, -3.381077387630853e+23, 3.765240414058412e+25, 2.628831217645615e+23, -4.7066025058197845e+29, -1.0360368344895472e+32, 1.705399446643566e+34 ]
null
A178370_aug
[ 6, 24, 25, 43, 132, 186, 124, 160, 402, 492, 295, 349, 816, 942, 538, 610, 1374, 1536, 853, 943, 2076, 2274, 1240, 1348, 2922, 3156, 1699, 1825, 3912, 4182, 2230, 2374, 5046, 5352, 2833, 2995, 6324, 6666, 3508, 3688, 7746, 8124, 4255, 4453, 9312, 9726, 5074, 5290 ]
null
A339049_aug
[ 1, 2, 2, 2, 2, 2, 2, 4, 4, 2, 4, 2, 2, 2, 2, 1, 4, 4, 2, 4, 4, 1, 4, 2, 2, 3, 2, 4, 4, 2, 2, 2, 3, 2, 4, 2, 3, 4, 4, 2, 2, 2, 1, 4, 3, 2, 2, 4, 4, 4, 2, 2, 3, 2, 1, 4, 3, 4, 2, 3, 2, 3, 2, 3, 2, 2, 2, 4, 4, 2, 4, 4, 3, 4, 2, 0, 3, 2, 1 ]
null
A318733_aug
[ 0, -2, -1, -4, -2, -1, -4, -2, -4, -1, -1, -4, 0, 0, 0, -1, -1, 0, -4, -3, -1, -3, 0, -4, -4, 0, 0, -1, -2, -2, 0, -2, -3, 0, -1, -2, -4, -2, -2, -3, -4, -2, -1, -3, -2, -1, -1, -1, -4, -2, -4, 0, -4, -4, 0, -3, -1, -2, 0, 0, 0, -3, -3, -4, -2, -1, -1, -1, -3, -2, -4, -3, -3, -4, -2, -1, -3 ]
null
A376650_aug
[ -1, 0, 0, -1, -1, 0, 0, -1, -2, -1, 0, -1, -2, -1, 0, -1, -2, -1, 0, -1, -3, -3, -1, -1, -3, -3, -1, -1, -3, -3, -1, -1, -4, -6, -4, -2, -4, -6, -4, -2, -4, -6, -4, -2, -5, -3, -3, -6, -6, -3, -3, -6, -6, -3, -3, -6, 0 ]
null
A151151_aug
[ 1, 4, 15, 62, 267, 1194, 5467, 25388, 119149, 563666, 2682499, 12828588, 61593153, 296694230, 1433139645, 6939009882, 33666384471, 163634429366, 796599415791, 3883439105946, 18955724572391, 92631265157576, 453129009711231, 2218673381738904, 10872702291874748, 53324156565903080, 261713579752913340 ]
null
A201549_aug
[ 1, -1, 11, -91, 891, -8801, 88913, -908755, 9377467, -97464799, 1018872811, -10701243741, 112835748609, -1193692544825, 12663809507129, -134678108144591, 1435345208419771, -15326122342137036, 163920458145421120 ]
null
A357864_aug
[ 1, 4, 1, 6, 5, 4, 3, 6, 5, 4, 1, 3, 4, 5, 5, 1, 1, 2, 2, 6, 1 ]
null
A001715_aug
[ 840, 6720, 60480, 604800, 6652800, 79833600, 1037836800, 14529715200, 217945728000, 3487131648000 ]
null
A158306_aug
[ 1294, 646, 2590, 1942, 3886, 3238, 5182, 4534, 6478, 5830, 7774, 7126, 9070, 8422, 10366, 9718, 11662, 11014, 12958, 12310, 14254, 13606, 15550, 14902, 16846, 16198, 18142, 17494, 19438, 18790, 20734, 20086, 22030, 21382, 23326, 22678, 24622, 23974, 25918, 25270 ]
null
A347533_aug
[ 1, 1, 4, 0, -2, -1, 5, 9, -5, -8, 15, 16, -16, -5, 25, -9, 4, 29, -29, -14, 36, -14, 19, 47, -34, -4, -20, -43, 69, 49, 14, 40, -53, -29, -27, -62, 95, 64, 40, 67, -51, -14, -82, -83, 81, -35, 100, 125, 11, 74, -90, -37, -107, -112, 100, -44, 139, 159, 46, 116, -83, -11, -152, -126, -133 ]
null
A249345_aug
[ 2, 2, 2, 2, 2, -2, -1, 0, 1, 2, -6, -4, -2, 0, 2, -10, -7, -4, -1, 2, -14, -10, -6, -2, 2, -42, -36, -30, -24, -18, -41, -34, -27, -20, -13, -40, -32, -24, -16, -8, -39, -30, -21, -12, -3, -38, -28, -18, -8, 2, -86, -74, -62, -50, -38, -80, -67, -54, -41, -28, -74, -60, -46, -32, -18, -68, -53, -38, -23, -8, -62, -46, -30, -14, 2 ]
null
A161029_aug
[ 0, 0, 0, 0, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 16, 19, 22, 27, 31, 37, 44, 51, 59, 69, 80, 91, 104, 117, 131, 150, 168, 188, 211, 235, 264, 295, 328, 363, 403, 450, 497, 550, 606, 666, 738, 812, 891, 979, 1071, 1175, 1284, 1401, 1525, 1660, 1809, 1965, 2132, 2312, 2500, 2710, 2930, 3164, 3416, 3685, 3975, 4283, 4608, 4954, 5323, 5724, 6144, 6594, 7070 ]
null
A060383_aug
[ 1, 1, 2, 3, 5, 2, 13, 3, 2, 5, 89, 2, 233, 13, 2, 3, 1597, 2, 37, 3, 2, 89, 28657, 2, 5, 233, 2, 3, 514229, 2, 557, 3, 2, 1597, 5, 2, 73, 37, 2, 3, 2789, 2, 433494437, 3, 2, 139, 2971215073, 2, 13, 5, 2, 3, 953, 2, 5, 3, 2, 59, 353, 2, 4513, 557, 2, 3, 5, 2, 269, 3, 2, 5 ]
null
A345079_aug
[ 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 3 ]
null
A352107_aug
[ 2, 14, 50, 98, 164, 244, 356, 496, 648, 840, 1070, 1340, 1640, 1960, 2310, 2670, 3046, 3454, 3884, 4346 ]
null
A161840_aug
[ 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 4, 0, 2, 2, 4, 0, 4, 0, 4, 2, 2, 0, 6, 2, 2, 2, 4, 0, 6, 0, 4, 2, 2, 2, 8, 0, 2, 2, 6, 0, 6, 0, 4, 4, 2, 0, 8, 2, 4, 2, 4, 0, 6, 2, 6, 2, 2, 0, 10, 0, 2, 4, 6, 2, 6, 0, 4, 2, 6, 0, 10, 0, 2, 4, 4, 2, 6, 0, 8, 4, 2, 0, 10, 2, 2, 2, 6, 0, 10, 2, 4, 2, 2, 2, 10, 0, 4, 4, 8 ]
null
A042807_aug
[ 1, 1, 2, 7, 9, 16, 57, 1726, 5235, 6961, 12196, 43549, 55745, 99294, 6013385, 6112679, 12126064, 42490871, 54616935, 97107806, 345940353, 10475318396, 31771895541, 42247213937, 74019109478, 264304542371, 338323651849, 602628194220, 36496015305049 ]
null
A345304
[ 0, 4, 9, 4, 25, 30, 49, 8, 9, 70, 121, 48, 169, 126, 120, 16, 289, 54, 361, 120, 210, 286, 529, 96, 25, 390, 27, 224, 841, 300, 961, 32, 462, 646, 420, 72, 1369, 798, 624, 240, 1681, 504, 1849, 528, 270, 1150, 2209, 192, 49, 150, 1020, 728, 2809, 162, 880, 448, 1254, 1798, 3481 ]
[ "nonn" ]
A069706_aug
[ 7, 8, 8, 10, 8, 10, 20, 12, 40, 8, 12, 24, 10, 12, 12, 24, 24, 8, 12, 16, 18, 8, 16, 14, 118, 8, 30, 16, 12, 12, 20, 16, 12, 318, 14, 24, 12, 12, 10, 14, 12, 10, 14, 24, 16, 116, 18, 16, 14, 10, 18, 20, 10, 18, 14, 24, 10 ]
null
A363825_aug
[ -1, 2, -2, 1, -2, 4, -2, 3, -1, 4, -2, 2, -2, 4, -4, 1, -2, 2, -2, 2, -4, 4, -2, 6, -1, 4, -3, 2, -2, 8, -2, 3, -4, 4, -4, 1, -2, 4, -4, 6, -2, 8, -2, 2, -2, 4, -2, 2, -1, 2, -4, 2, -2, 6, -4, 6, -4, 4, -2, 4, -2, 4, -2, 1, -4, 8, -2, 2, -4, 8, -2, 3, -2, 4, -2, 2, -4, 8, -2, 2, -1, 4, -2, 4, -4, 4, -4 ]
null
A255376_aug
[ 0, 0, 0, 0, 0, 0, 2, 36, 522, 6840, 84600, 1008000, 11700000, 133199982, 1493999514, 16559990766, 181799850798, 1979997808140, 21419969770800, 230399601480000, 2465994921300162, 26279936965805830, 278999234064137060, 2951990853482630000, 31139892351044686000 ]
null
A176500_aug
[ 115, 279, 719, 1879, 4911, 12659, 33235, 86715, 226315, 592767, 1551791, 4060203, 10630767, 27825227, 72843667, 190710291, 499271047, 1307051711, 3421933647, 8958716547, 23453948495, 61403187051 ]
null
A114789_aug
[ 3, 12, 33, 540, 2571, 6636, 14769, 12913490733258, 5.558608084550323e+27, 2.056684991283615e+29, 1.4063278453912284e+30, 9.505775685389485e+31, 1.0165878182975705e+33 ]
null
A284037_aug
[ 13, 11, 23, 19, 47, 37, 73, 53, 107, 97, 193, 163, 487, 383, 863, 577, 2593, 1153, 4373, 2917, 995327, 8747, 1990657, 1492993, 28311553, 5308417, 6879707137, 86093443, 2348273369087, 1761205026817, 7421703487487, 5566277615617, 79164837199873, 21422803359743 ]
null
A261385_aug
[ -3, 1, -15, 221, -137, 13, -103, 63, -2, 44, -3, 31, -3, 45, -104, 4, -237, 38, -19, 61, -183, 56, -11, 22, -374, 15, -5, 9, -97, 42, -47, 2, -19, 4, -399, 23, -103, 3, -10, 29, -109, 2, -1, 51, -80, 52, -64, 23, -2, 76, -3, 218, -98, 7, -145, 4, -12, 10, -87, 213, -181, 36, -169, 28, -25, 71, -71, 72, -50, 54 ]
null
A238639_aug
[ 1, 2, 4, 10, 33, 136, 634, 3127, 15868, 82092, 431055, 2290064, 12284260, 66439647, 361917488, 1983879687, 10935515030, 60580371831, 337120630386, 1883750714448, 10565640443802, 59466535976565, 335769019251390, 1901516911725348, 10798492618654488, 61482394073856350 ]
null
A264059
[ 1, 2, 1, 4, 8, 1, 8, 64, 18, 1, 16, 216, 324, 45, 1, 32, 729, 2592, 2025, 125, 1, 64, 3375, 20736, 32400, 15625, 320, 1, 128, 15625, 207360, 518400, 450000, 102400, 832, 1, 256, 64000, 2073600, 11151360, 12960000, 5760000, 692224, 2197, 1, 512, 262144 ]
[ "nonn", "tabl" ]
A308233_aug
[ 0, 0, 1, 2, 7, 20, 54, 106, 225, 412, 757, 1276, 2118, 3318, 5221, 7782, 11493, 16514, 23543, 32590, 44906, 60560, 81191, 107014, 140129, 180874, 232586, 295134, 372613, 465928, 580099, 715354, 878982, 1071446, 1301416, 1569878, 1887048, 2254294, 2685680, 3181152, 3756950, 4415972, 5176964, 6040982, 7032680 ]
null
A233678_aug
[ 21128, 193024, 2225616, 22594576, 264352864, 2768605920, 32181631072, 342312067232, 3943781405152, 42387178531616, 484580875458784, 5248413982734880, 59629577360085220, 649640689957963300 ]
null
A335798_aug
[ 8.309562962452852e+33, 8.080174247945128e+53, 3.765617127571985e+24, 1.3951183912633633e+26, 272237831663616000, 1429615077540249600, 26489012826931200, 8317584273309696000, 8244323942400, 48704929136640 ]
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A042341_aug
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