id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A023212_aug
[ -4, -6, 36, -66, 90, -132, 186, -270, 366, -426, 492, -612, 702, -732, 876, -990, 1032, -1080, 1116, -1290, 1416, -1446, 1542, -1572, 1656 ]
null
A165232_aug
[ 2, 5346, 28578258, 152775470034, 816716829251682 ]
null
A083364_aug
[ 1, 5, 17, 32, 71, 105, 187, 248, 389, 485, 701, 840, 1147, 1337, 1751, 2000, 2537, 2853, 3529, 3920, 4751, 5225, 6227, 6792, 7981, 8645, 10037, 10808, 12419, 13305, 15151, 16160, 18257, 19397, 21761, 23040, 25687, 27113, 30059, 31640, 34901, 36645 ]
null
A380157_aug
[ 1, 1, 4, 1, -44, 265, 2458, -48419, -99320, 12598417, -82133810, -4205894891, 86494587292, 1457086105657, -79743685096670, -88062957588275, 77425160027442830, -1138977883460384800, -76951663963327660000, 2.978943480750081e+21, 6.435322140690287e+22 ]
null
A057268
[ 1, 3, 6, 18, 216, 42768, 1819863936, 3311826913612597000, 1.0968197499701668e+37, 1.203013563924619e+74 ]
[ "easy", "nonn" ]
A376036_aug
[ 0, 1, 9, 0, 5, 6, 1, 0, 9, 6, 3, 8, 7, 6, 5, 4, 7 ]
null
A081600_aug
[ -7, -14, -5, -16, -3, -18, -1, -19, 0, -21, 2, -23, 4, -25, 6, -27, 8, -28, 9, -30, 11, -32, 13, -34, 15, -36, 17, -37, 18, -39, 20, -41, 22, -43, 24, -45, 26, -46, 27, -48, 29, -50, 31, -52, 33, -54, 35, -55, 36, -57, 38, -59, 40, -61, 42, -63, 44, -64, 45, -66, 47, -68, 49, -70, 51, -72, 53, -73, 54, -75, 56, -77, 58, -79, 60, -81, 62, -82, 63, -84, 65, -86, 67, -88, 69, -90, 71, -91, 72, -93, 74, -95, 76, -97, 78, -99, 80, -100, 81, -102, 83, -104, 85, -106, 87, -108, 89, -109, 90, -111, 92, -113, 94, -115 ]
null
A093773_aug
[ 3, 8, 3, 5, 7, 3, 1, 4, 8, 3, 1, 3, 4, 1, 2, 8, 4, 1, 3, 1, 4, 1, 5, 6, 5, 7, 4, 4, 1, 8, 6, 3, 2, 7, 7, 3, 4, 3, 6, 3, 5, 2, 8, 4, 1, 5, 3, 8, 3, 8, 1 ]
null
A077434_aug
[ 12, 9, 36, 24, 108, 48, 162, 120, 225, 189, 312, 264, 396, 336, 420, 405, 585, 450, 612, 600, 624 ]
null
A109064_aug
[ 6, 0, 10, 15, -10, 0, -5, 35, 30, -30, 10, -55, 35, 65, -25, 15, -50, 85, 40, -95, -10, -55, 65, 115, -45, 0, -55, 105, 95, -145, -5, -155, 110, 125, -75, 35, -100, 185, 105, -115, 30, -205, 65, 215, -175, -30, -105, 235, 115, -210, 10, -155, 185, 265 ]
null
A361228_aug
[ 0, 66, 929390 ]
null
A010387_aug
[ 0, 1, 4, 6, 9, 11, 14, 16, 19, 21, 24 ]
null
A374377_aug
[ 2, 17, 149, 1069, 10499, 101999, 1013899, 10012999, 100148999, 1000009999, 10000099999, 100009799999, 1000000999999, 10000069999999, 100001386999999, 1000001939999999, 10000004100000000, 100000001600000000, 1000000073600000000 ]
null
A200868_aug
[ 141688, 42744, 1557320, 469726, 17117854, 5163158, 188154290, 56752072, 2068138180, 623802050, 22732385492, 6856654898, 75366392740 ]
null
A030676_aug
[ 1, 0, 1, 4, 4, 4, 4, 1, 0, 1, 0, 4, 1, 0, 4, 4, 1, 0, 4, 1, 0, 4, 1, 4, 4, 1, 1, 4, 0, 1, 1, 4, 4, 1, 4, 0 ]
null
A215004_aug
[ 1, 1, 3, 5, 10, 17, 30, 50, 84, 138, 227, 370, 603, 979, 1589, 2575, 4172, 6755, 10936, 17700, 28646, 46356, 75013, 121380, 196405, 317797, 514215, 832025, 1346254, 2178293, 3524562, 5702870, 9227448, 14930334, 24157799, 39088150, 63245967, 102334135, 165580121 ]
null
A343752_aug
[ 1, 3, 3, 7, 12, 6, 13, 21, 30, 10, 21, 33, 46, 60, 15, 31, 48, 66, 85, 105, 21, 43, 66, 90, 115, 141, 168, 28, 57, 87, 118, 150, 183, 217, 252, 36, 73, 111, 150, 190, 231, 273, 316, 360, 45, 91, 138, 186, 235, 285, 336, 388, 441, 495, 55, 111, 168, 226 ]
null
A155903_aug
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
null
A251136_aug
[ 10033, 29581, 60351, 112030, 194461, 330420, 554083, 934724, 1597085, 2788882, 4988791, 9149186, 17154589, 32765336, 63477883, 124272184, 245079421, 485744230, 965922127, 1924901126, 3841217949, 7671917212, 15331042771, 30646647180 ]
null
A357267_aug
[ 0, 0, 3, 2, 125, 28, 12607, 1506, 2352681, 186600, 705821171, 41839750, 311784460429, 14818593516, 190868446707135, 7603945309338, 154893585657590620, 5328147004384336, 161057122218190670000, 4884408906341245000, 5.671407469802948e+21 ]
null
A293698_aug
[ 5, 1, 54, 28, 147, 99, 284, 214, 465, 373, 690, 576, 959, 823, 1272, 1114, 1629, 1449, 2011, 1812, 2418, 2213, 2863, 2639, 3333, 3090, 3828, 3579, 4361, 4093, 4922, 4632, 5527, 5215, 6176, 5842, 6869, 6513, 7606, 7228, 8387, 7987, 9212, 8790, 10081, 9637, 10994, 10528, 11951, 11463, 12952, 12442, 13997, 13465, 15070, 14532, 16181, 15624, 17317, 16741, 18478, 17896, 19677, 19076, 20901, 20281 ]
null
A307702_aug
[ 1, -4, 11, -41, 161, -641, 2561, -10241, 40961, -163841, 655361, -2621441, 10485761, -41943041, 167772161, -671088641, 2684354561, -10737418241, 42949672961, -171798691841, 687194767361, -2748779069441, 10995116277761, -43980465111041, 175921860444161, -703687441776641 ]
null
A233137_aug
[ 1, 12, 122, 1212, 1222, 12122, 12212, 121212, 12222, 121222, 122122, 1212122, 122212, 1212212, 1221212, 12121212, 122222, 1212222, 1221222 ]
null
A001235_aug
[ 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 3, 3, 3, 2, 2, 3, 2, 1, 2 ]
null
A271461_aug
[ 66, 317, 78, 465, 126, 657, 142, 865, 174, 1081, 266, 1313, 298, 1653, 346, 1985, 354, 2305, 518, 2609, 566, 3093, 570, 3597, 666, 3901, 878, 4417, 814, 4949, 910, 5553, 970, 6117, 1106, 6669, 1270, 7297, 1378, 8133, 1290, 8733 ]
null
A103791_aug
[ -6, 4, 0, -21, 16, -70, 57, -82, 441, -272, 392, -116, 927, -581, 1735, -317, 1993, -2855, 3142, -2018, 5672, -5148, 4008, -10395, 22618, -2350, 19234, -14348, 19535, -7658, 20547, -29096, 64037, -56430, 84985, -15338, 37392, -13655, 83479, -58643, 162217, -111872 ]
null
A129180_aug
[ 1, 10, 74, 498, 3202, 20058, 123594, 753122, 4552898, 27362858, 163715466, 976102610, 5803425474, 34425754234, 203828534922, 1204931700674, 7113460322434, 41947341508170, 247116103320522, 1454542672590770, 8555134562641922, 50285265028474010 ]
null
A012861_aug
[ -3, 1, -203, 4, -319561, 2038, -8552625673, 61425307, -16155306808034, 11620410478, -147005475101499520, 1810024463827637, -7.441717839455761e+21, 139995370486066050000, -4.0694994662263997e+26, 6.617143371605569e+22 ]
null
A369456_aug
[ 6, 7, 8, 9, 10, 15, 17, 20, 21, 28, 36, 40, 42, 49, 50, 52, 53, 62, 72, 78, 90, 121, 134, 145, 147, 156, 167, 172, 175, 178, 182, 187, 188, 201, 215, 223, 239, 280, 297, 314, 332, 391, 462, 485, 504, 545, 551, 558, 560, 571, 584, 591, 608, 645, 661, 674, 677, 688, 702, 704, 708, 719, 724, 727, 728, 743, 759, 771, 789, 850, 875, 898, 918, 1005, 1108, 1139, 1166, 1221, 1229, 1240, 1264, 1377, 1508, 1555, 1722, 1969, 2075, 2136 ]
null
A265388_aug
[ 8, 8, 11, 10, 11, 11, 9, 10, 11, 9, 13, 13, 13, 11, 11, 10, 13, 11, 9, 9, 13, 9, 13, 13, 13, 9, 11, 9, 13, 13, 9, 10, 9, 9, 9, 13, 9, 9, 9, 9, 11, 11, 9, 9, 11, 9, 13, 9, 9, 9, 13, 9, 13, 11, 9, 9, 13, 9, 13, 9, 13, 9, 13, 10, 13, 9 ]
null
A142595_aug
[ 1, 1, 1, 1, 4, 1, 1, 10, 10, 1, 1, 22, 40, 22, 1, 1, 46, 124, 124, 46, 1, 1, 94, 340, 496, 340, 94, 1, 1, 190, 868, 1672, 1672, 868, 190, 1, 1, 382, 2116, 5080, 6688, 5080, 2116, 382, 1, 1, 766, 4996, 14392, 23536, 23536, 14392, 4996, 766, 1 ]
null
A302823_aug
[ 13, 261, 1849, 9047, 57681, 455221, 3252931, 21373830, 145065335, 1024549951, 7170151661, 49379386780, 340925402215, 2370116273856, 16472723703658, 114177004773456, 791323930643325, 5490513439183972, 38101196990376776 ]
null
A329226_aug
[ 1, 2416266949, 11465419549, 142013229529, 294183810997, 774557575609, 1974020768389 ]
null
A225645_aug
[ 1, 2, 3, 5, 7, 10, 13, 16, 19, 23, 27, 32, 37, 43, 48, 53, 58, 64, 69, 76, 82, 89, 95, 102, 109, 116, 123, 131, 139, 147, 156, 165, 174, 184, 193, 203, 212, 221, 231, 241, 251, 261, 271, 282, 294, 305, 316, 328, 340, 351, 362, 375, 387, 399, 411, 423, 435, 447 ]
null
A363731_aug
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 5, 0, 1, 8, 5, 0, 12, 0, 19, 14, 2, 0, 52, 21, 3, 23, 59, 0, 122, 0, 97, 46, 6, 167, 303, 0, 8, 82, 559, 0, 543, 0, 355, 745, 15, 0, 1685, 510, 1083, 251, 840, 0, 2325, 1832, 3692, 426, 34, 0, 9599 ]
null
A123951
[ 1, 1, -1, -1, -1, 1, -1, -3, 4, -1, 37, -88, 69, -19, 1, 10879, -14344, 6831, -1375, 99, -1, -4322473, -40529664, -17486038, 3188841, -40896, -2346, 1, -11384127259974048, -783824545942228, 1058675233347, 505084925760, -64007100, -32568519, 23164, -1, -1.2198676776787748e+23 ]
[ "uned", "tabl", "sign" ]
A269995_aug
[ -1, 2593, 5.850859935190661e+26 ]
null
A336202_aug
[ -7, -8, -11, 128, 3577, -8065632, 985282157, 102324513620728, -758462117693096000, -3.101240072685564e+23, 5.900042076606045e+28, 2.3173951220903424e+35, -9.482385737097999e+41, -4.3263440520748046e+49 ]
null
A340955_aug
[ -4, -3, -4, 6, 6, 41, 86, 116, 366, 206, 926, 293, 1616, 566, 2216, 1476, 2936, 3371, 4586, 6081, 8366, 8977, 15096, 11426, 23828, 13886, 31936, 19151, 38516, 30191, 46436, 46886, 59396, 66546, 81528, 86351, 114386, 104216, 153446, 122406, 193436, 149486, 235346, 188006, 238836 ]
null
A290516_aug
[ 4218, 834306, 693440358, 2467783325454, 34969364086977110, 2.1551308658695136e+21, 5.8134942233051125e+26 ]
null
A003083_aug
[ 2, 4, 20, 79, 575, 5291, 82991, 2260764, 114816091, 10956540398, 1957644260201, 652398084333431, 405394457677579000, 470554668316938700000, 1.0230420010944614e+24, 4.178797625633617e+27, 3.216779123334159e+31 ]
null
A252989_aug
[ 10644, 82647, 612471, 4663788, 35827878, 276524622, 2139082743, 16565386275, 128338634820, 994557002553, 7708516331763, 59750244746295, 463158992397567, 3590333325625218, 27832006988485240, 215754093293257470, 1672541349216127200 ]
null
A132696_aug
[ 1, 9, 0, 9, 8, 5, 9, 3, 1, 7, 1, 0, 2, 7, 4, 4, 0, 2, 9, 2, 2, 6, 6, 0, 5, 1, 6, 0, 4, 7, 0, 1, 7, 2, 3, 4, 4, 4, 1, 3, 5, 1, 5, 7, 4, 8, 8, 8, 5, 4, 7, 7, 3, 8, 4, 9, 7, 2, 0, 0, 8, 1, 2, 8, 7, 0, 6, 7, 6, 1, 5, 7, 1, 6, 1, 0, 7, 1, 8, 4, 2, 1, 0, 8, 1, 3, 6, 5, 6, 3, 3, 1, 9, 5, 0, 3, 7, 0, 3, 1, 4, 7, 2, 8, 7 ]
null
A378595_aug
[ 35, 36, 38, 39, 42, 43, 46, 47, 49, 50, 53, 54, 57, 60, 61, 64, 65, 67, 68, 71, 72, 75, 78, 79, 82, 83, 86, 89, 90, 93 ]
null
A338030_aug
[ 35, 85, 185, 355, 365, 835, 905, 955, 1765, 1865, 1945, 3805, 3935, 3985, 4645, 4915, 8765, 9395, 17855, 35285, 35885, 37535, 38585, 39395, 46745, 47195, 48905, 48935, 75265, 76135, 76535, 77255, 77755, 78335, 78395, 78955, 79595, 80305, 80365, 82265, 82735, 82805, 83735, 84415, 84895, 87355, 89545, 89855, 92135 ]
null
A028427_aug
[ 1, 2, 3, 4, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492 ]
null
A153586_aug
[ 7, -7, 2, -7, 6, 0, 2, -4, 8, -7, 8, -2, 2, -1, 9, 0, 6, -8, 1, -5, 1, 0, 1, -1, 5, -3, 3, -2, 8, -6, 0, 0, 2, -8, 0, -8, 1, -1, 2, 0, 6, -7, 4, -3, 4, 0, 3, -8, 3, -9 ]
null
A280824_aug
[ -23, -21, -25, -24, -27, -26, -29, -28, -31, -30, -34, -32, -36, -35, -38, -37, -40, -39, -42, -41, -45, -43, -47, -46, -49, -48, -51, -50, -53, -52, -56, -54, -58, -57, -60, -59, -62, -61, -64, -63, -67, -65, -69, -68, -71, -70, -73, -72, -75, -74, -78, -76, -80, -79, -82, -81, -84, -83, -86, -85, -89, -87, -91, -90, -93, -92, -95, -94, -97, -96, -1000, -98 ]
null
A148503_aug
[ 0, 2, 2, 10, 22, 86, 246, 846, 2658, 9566, 32950, 119822, 421030, 1552102, 5713938, 21583554, 80819422, 306831934, 1172667750, 4545240262, 17653720510, 68859251714, 269890802462, 1067053700878, 4239802930774, 16895529403346, 67512477447870, 271209440128402, 1094901372574214, 4434176494567086 ]
null
A224025_aug
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null
A019112_aug
[ 0, -2, -2, -1, -12, -21, -48, -137, -250, -605, -1554, -3342, -8332, -21594, -51502, -131328, -341762, -864538, -2246856, -5900130, -15369316, -40494237, -107292346, -283725243, -753791484, -2008956063, -5355256010, -14308720447, -38309123306 ]
null
A283589_aug
[ 1, 0, 101, 1110, 11110, 111110, 1111110, 11111110, 111111110, 1111111110, 11111111110, 111111111110, 1111111111110, 11111111111110, 111111111111110, 1111111111111110, 11111111111111110, 111111111111111100, 1111111111111111200, 11111111111111110000 ]
null
A243173_aug
[ 0, 1, 4, 9, 15, 16, 19, 24, 25, 31, 36, 40, 49, 51, 60, 61, 64, 69, 76, 79, 81, 85, 96, 100, 109, 115, 121, 124, 135, 136, 139, 141, 144, 151, 159, 160, 169, 171, 181, 184, 196, 199, 204, 211, 216, 225, 229, 235, 240, 241, 244, 249, 256, 265, 271, 276, 279, 285, 289, 304, 316, 321, 324, 331, 339, 340, 349, 360, 361, 375, 376, 379, 384, 391, 400, 409, 411 ]
null
A356767_aug
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null
A285018_aug
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A315344_aug
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null
A230224_aug
[ 8, 8, 8, 8, 8, 7, 7, 6, 6, 5, 4, 3, 5, 2, 3, -1, 2, -1, 1, 0, 1, -2, 1, -3, 2, -5, 1, -3, 2, -4, -3, -5, -1, -6 ]
null
A221310_aug
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null
A102253_aug
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null
A158339_aug
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null
A107832_aug
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null
A271493_aug
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null
A040657_aug
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null
A312543_aug
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null
A256903_aug
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