id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
A099861_aug
[ -2, -6, -8, -12, -14, -18, -20, -23, -25, -28, -31, -33, -36, -38, -42, -44, -47, -49, -52, -54, -56, -60, -62, -64, -67, -70, -73, -75, -78, -80, -83, -85, -88, -90, -92, -94, -97, -100, -103, -106, -109, -112, -114, -116, -118...
null
A256338_aug
[ 1, 3, 14, 81, 526, 3655, 26522, 198322, 1516296, 11794717, 93028387, 742192059, 5978650560, 48558821234, 397218622275, 3269629207524, 27061726430000, 225078993453143, 1880240716499975, 15768890757767328, 132719696885282350, 1120664726059889700, 9490737694928103000, 8059...
null
A326881_aug
[ 1, -1, 71, -5, 2725521, -4223, 28175294344381110000, -151914530499 ]
null
A172277
[ 0, 1, 3, 5, 7, 9, 11, 13, 14, 16, 18, 20, 22, 24, 26, 28, 29, 31, 33, 35, 37, 39, 41, 43, 44, 46, 48, 50, 52, 54, 56, 58, 59, 61, 63, 65, 67, 69, 71, 73, 74, 76, 78, 80, 82, 84, 86, 88, 89, 91, 93, 95, 97, 99, ...
[ "nonn", "easy" ]
A170416_aug
[ 483, 22, 233772, 10626, 113145648, 5142984, 54762493632, 2489204256, 26505046917888, 1204774859904, 12828442708257792, 583111032193536, 6208966270796771000, 282225739581671420, 136597257957528960000 ]
null
A177178
[ 1, 8, 17, 100, 475, 2843, 16691, 105026, 668777, 4379697, 29069769, 195897417, 1334255973, 9178287643, 63648492949, 444568586864, 3124500279731, 22080853944311, 156808387564259, 1118463885704019, 8009066218515015 ]
[ "easy", "nonn" ]
A292060_aug
[ 0, 6, 36, 90 ]
null
A250112_aug
[ 0, 0, 5, 0, 15, 1, 13, 11, 41, 35, 79, 47, 57, 131, 165, 301, 267, 485, 297, 927, 517, 1919, 925, 3087, 965, 5937, 1937, 10401, 2945, 17935, 3881, 31451, 5839, 55439, 10507, 93669, 13507, 162259, 23629, 276443, 35963, 470133 ]
null
A089424_aug
[ 1, 1, 2, 3, 6, 18, 48, 151, 478, 1580, 5304, 18220, 63308, 222936, 792436, 2841807, 10265130, 37322728, 136468200, 501523066, 1851418668 ]
null
A249750_aug
[ 0, 7, 70, 703, 7026, 70229, 702309, 7023027, 70230484, 702304875, 7023049293, 70230492763, 702304928492, 7023049277919, 70230492773355, 702304927727064, 7023049277265686, 70230492772676560 ]
null
A043971_aug
[ 14, 46, 95, 134, 176, 208, 257, 289, 338, 370, 422, 451, 500, 532, 581, 613, 662, 694, 743, 775, 824, 863, 905, 937, 986, 1018, 1067, 1099, 1214, 1229, 1261, 1310, 1342, 1391, 1423, 1472, 1504, 1553, 1592, 1634, 1666, 1715 ]
null
A320847_aug
[ 0, 0, -1, -1, -2, -3, -4, -4, -5, -6, -7, -8, -9, -10, -11, -11, -12, -13, -14, -14, -15, -16, -17, -18, -19, -20, -21, -22, -23, -24, -25, -25, -26, -27, -28, -29, -30, -31, -32, -32, -33, -34, -35, -36, -37, -38, -39, -3...
null
A120291_aug
[ 6, 2, 10, 6, 10, 2, 10, 2, 10, 2, 2, 6, 10, 10, 2, 10, 6, 10, 10, 8, 2, 0, 2, 4, 10, 2, 2, 4, 10, 10, 10, 4, 6, 4, 6, 4, 2, 4, 2, 4, 6, 4, 2, 4, 2, 4, 2, 6, 10, 2, 10, 2, 2, 10, 2, 2, 2, 2, 2, 8, ...
null
A183779_aug
[ 493, 6330, 67261, 790523, 8899692, 102675249, 1172209397, 13465835438, 154277172453, 1770420838187, 20302163231344, 232916863269337, 2671612699473909, 30647892124323216, 351562693438888450, 4032931847941993000, 46262756798698720000, 530697339085959270000, 6.087794891190778e+21 ]
null
A162920_aug
[ 1, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0 ]
null
A183057_aug
[ -107, -701, -709, -907, -11057, -11071, -11083, -12071, -12073, -13043, -14029, -14057, -14071, -14081, -14087, -15013, -15053, -15091, -16063, -16073, -17011, -17021, -17033, -17041, -17047, -18013, -18041, -18077, -18089, -19013, -19037, -19051, -310...
null
A332126_aug
[ 262, 6, 2226222, 22622, 22222622222, 222262222, 222222262222222, 2222226222222, 2222222226222222300, 22222222622222224, 2.222222222262222e+22, 222222222262222230000, 2.2222222222226224e+26, 2.2222222222262221e+24, 2.2222222222222263e+30, 2.2222222222222624e+28 ]
null
A200927_aug
[ 2, -2, 3, 0, -3, 0, 4, 0, 0, -4, 0, 6, 0, 0, 0, 0, -6, 0, 3, 0, -3, 0, 7, 0, 0, 0, 0, 0, -7, 0, 0, 3, 0, -3, 0, 7, 0, 0, 0, 0, 0, -7, 3, 0, -3, 2, -2, 4, 0, 0, -4, 2, -2, 0, 4, 0, 0, -4, 3, 0, -3,...
null
A358123_aug
[ 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 9, 12, 13, 15, 17, 16, 19, 14, 18, 20, 21, 24, 22, 26, 28, 25, 29, 31, 27, 23, 32, 30, 33, 34, 36, 40, 42, 38, 44, 46, 39, 47, 43, 49, 51, 41, 35, 50, 37, 45, 53, 48, 52, 54, 5...
null
A286587_aug
[ 2, 3, 2, 6, 4, 9, 8, 12, 3, 6, 3, 18, 18, 12, 6, 24, 6, 18, 4, 12, 8, 54, 12, 36, 18, 27, 24, 24, 12, 81, 72, 48, 2, 9, 6, 36, 12, 6, 12, 24, 9, 36, 24, 108, 4, 18, 36, 72, 8, 27, 18, 54, 36, 144, 72, 48, ...
null
A189439_aug
[ 1, 5, 3, 3, 3, 5, 3, 3, 1, 5, 3, 3, 5, 3, 3, 3 ]
null
A199468_aug
[ 2, 1, 8, 5, 9, 8, 5, 9, 9, 6, 7, 8, 6, 2, 2, 7, 3, 7, 3, 3, 4, 5, 4, 3, 3, 5, 9, 6, 3, 5, 7, 7, 0, 0, 1, 5, 7, 3, 3, 8, 5, 6, 4, 6, 1, 7, 1, 9, 8, 5, 6, 8, 9, 9, 3, 7, 5, 9, 8, 8, 2, 9, 6, 1...
null
A272078_aug
[ 130, 170, 210, 230, 270, 310, 330, 370, 530, 550, 630, 670, 720, 750, 770, 810, 870, 890, 910, 970, 980, 1030, 1050, 1090, 1110, 1120, 1130, 1150, 1190, 1220, 1250, 1270, 1280, 1290, 1350, 1370, 1380, 1420, 1470, 1480, 1490, 1510, 1...
null
A014764_aug
[ -1, -4, -9, -16, -36, -25, -100, -225, -400, -49, -441, -1225, -64, -784, -3136, -4900, -81, -1296, -7056, -15876, -2025, -14400, -44100, -63504, -121, -3025, -27225, -108900, -213444, -144, -4356, -48400, -245025, -627264, -853776, -169, -6084...
null
A138203_aug
[ 1, 4, 9, 18, 29, 46, 67, 94, 127, 164, 207, 258, 317, 386, 467, 558, 655, 760, 877, 1010, 1147, 1296, 1465, 1646, 1841, 2052, 2265, 2500, 2759, 3032, 3329, 3636, 3949, 4288, 4649, 5018, 5421, 5830, 6265, 6730, 7211, 7696, 8211, 87...
null
A080894_aug
[ 1, 1, 3, 19, 169, 2001, 29371, 516643, 10590609, 248113729, 6541248691, 191719042131, 6185020391353, 217824649952209, 8316522297035499, 342188317852814400, 15095509523107176000, 710794856254145600000 ]
null
A379499_aug
[ -28, -6, -72, -12, -30, -117, -360, -120, -56, -775, -1080, -180, -2793, -1680, -336, -132, -19500, -672, -16093, -7392, -336, -182, -3960, -3510, -24024, -137200, -306, -30927, -1584, -496, -10192, -43400, -55692, -1948584, -380, -88723, -9801...
null
A119350_aug
[ 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 4, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
null
A093863_aug
[ 19, 21, 25, 35, 37, 41, 49, 69, 73, 81, 137, 145, 257, 258, 273, 515, 769, 1029, 1281, 2057, 2305, 2809, 4113, 4321, 4353, 20281, 65537, 65538 ]
null
A220966_aug
[ 8, 176, 3561, 60534, 993913, 16142576, 260376371, 4183644424 ]
null
A234582_aug
[ 1, 1, 1, 5, 1, 9, 1, 13, 1, 17, 1, 21, 1, 25, 1, 1, 5, 1, 5, 5, 1, 9, 5, 1, 13, 5, 1, 17, 5, 1, 21, 5, 1, 25, 5, 1, 1, 9, 1, 5, 9, 1, 9, 9, 1, 13, 9, 1, 17, 9, 1, 21, 9, 1, 25, 9, 1, 1, 13, 1, 5, ...
null
A183582_aug
[ 65197, 14757760, 3710117951, 918985557363, 228794027599040, 56910389361978710, 14160346012695837000 ]
null
A095143_aug
[ 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0...
null
A057613_aug
[ 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1 ]
null
A374558_aug
[ 11, 1, 1.3157448194591091e+57, 18843648 ]
null
A091505_aug
[ -5, -2, -1, -4, 0, -5, -4, -3, -3, -1, -6, -4, 0, -2, 0, -6, 0, -1, -3, -3, 0, -2, -1, -2, -3, -5, -6, -6, 0, 0, -2, -4, -3, -2, 0, -4, -2, -1, -4, 0, -3, -1, -5, -6, 0, 0, 0, -2, 0, 0, -1, -3, -4, -1, 0, -...
null
A003260_aug
[ 3, 5, 1, 5, 5, 5, 1, 5, 5, 5, 1, 5, 5, 5, 5, 1, 5, 5 ]
null
A262198_aug
[ 400, 1200, 2400, 4000, 6000, 8400, 11200, 14400, 18000, 22000, 26004, 30012, 34024, 38040, 42060, 46084, 50112, 54144, 58180, 62220, 66300, 70384, 74504, 78628, 82788, 86952, 91152, 95356, 99596, 103840, 108120, 112404, 116724, 121048, 125408, 12...
null
A311423_aug
[ 1, 12, 25, 37, 49, 63, 74, 88, 99, 113, 124, 136, 150, 161, 174, 186, 200 ]
null
A185434
[ 17062128865116752, 14492443009379676000, 5.755145891541173e+21, 1.4079011574652002e+24, 2.3861876339647673e+26 ]
[ "nonn" ]
A120968_aug
[ 4, 2, 1, 1, 3, 4, 1, 2 ]
null
A166098_aug
[ 0, 1, 2, 3, 4, 5, 6, 17, 8, 11, 20, 13, 14, 10, 15, 29, 9, 32, 24, 12, 38, 37, 74, 18, 22, 90, 27, 30, 62, 36, 39, 50, 19, 26, 25, 28, 161, 118, 16, 68, 53, 42, 84, 41, 34, 44, 45, 48, 51, 80, 97, 33, 52, 153, ...
null
A032797_aug
[ 1, 2, 3, 4, 5, 7, 8, 9, 0, 2, 3, 4, 5, 6, 8, 9, 0, 1, 3, 4, 5, 6, 7, 9, 0, 1, 2, 4, 5, 6, 7, 8, 0, 1, 2, 3, 5, 6, 7, 8, 9, 1, 2, 3, 4, 6, 7, 8, 9, 0, 2, 3, 4, 5, 7, 8, 9, 0, 1, 3, 4, 5, 6, 8...
null
A190847_aug
[ 10, -11, 14, -15, 17, -18, 21, -22, 24, -25, 28, -29, 32, -35, 36, -39, 42, -43, 46, -47, 49, -50, 53, -54, 56, -57, 60, -61, 64, -67, 68, -71, 74, -75, 78, -81, 82, -85, 86, -88, 89, -92, 93, -95, 96, -99, 100, -103, 10...
null
A180202_aug
[ -1370160, -6228240, -20270400, -11754096, -76951488, -62662711, -139223561, -4476290544, 311173104, -289833199, -1327097520, -975646205, -5399497675, -4618765800, 2024617039, -6629660928, -2312441436, -6292433316 ]
null
A199262_aug
[ 1, 3, 11, 15, 59, 95, 223, 255, 1007, 1919, 4091, 6143, 16379, 28671, 61439, 65535, 261119, 516095, 1048571, 1966079, 4128767, 8380415, 16769023, 25165823, 67108799, 134184959, 268434431, 469762047, 1073741819, 2013265919, 4160749567, 4294967295, 17163...
null
A172543_aug
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 20922789888000, 1.026890299877135e+28, 2.7678064805422116e+42 ]
null
A003917_aug
[ -6, -2485, -2485, -45699, -48179, -48179, -120069, -120069, -381771, -1152740, -1534505, -3028271, -3073965, -4226700, -4997669, -5379435, -10758865, -11834751, -16906785, -18395591, -18395591, -18395591, -19212255 ]
null
A057910_aug
[ 2, 4, 6, 10, 12, 13, 19, 43, 48, 64, 72, 97, 187, 190, 336, 348, 676, 2484, 2719, 3298, 4726, 9901, 24466, 43980, 56302, 72175 ]
null
A082854_aug
[ 1, 1, 1, 2, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 3...
null
A111179_aug
[ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
null
A120067_aug
[ 1, 4, 9, 16, 26, 37, 50, 64, 81, 100, 122, 145, 171, 198, 227, 258, 292, 330, 367, 413, 454, 497, 542, 589, 640, 689, 742, 799, 854, 913, 974, 1037, 1106, 1173, 1238, 1309 ]
null
A276449_aug
[ 1, 4, 0, 0, 11480, 635376, 0, 0, 18161699556, 1978369382080, 0, 0, 158625578809472060 ]
null
A179640_aug
[ 24, 6, 3, 15, 18, 18, 21, 27, 6, 24, 27, 21, 6, 6, 15, 18, 21, 21, 9, 12, 24, 18, 27, 9, 15, 21, 15, 24, 0, 9, 15, 18, 9, 0, 27, 21, 15, 12, 12, 6, 24, 27, 9, 24, 21, 3, 21, 27, 27, 3, 6, 15, 18, 24, 12, 12...
null
A291127_aug
[ 6, 10, 15, 22, 27, 34, 38, 42, 51, 55, 58, 65, 69, 77, 82, 86, 88, 93, 95, 104, 110, 114, 118, 122, 125, 129, 133, 136, 141, 143 ]
null
A105762_aug
[ 4, 4, 60, 60, 110, 202, 1056, 194832, 86796468, 454299234, 292997064448065200, 129531815664305820000, 108960245821856270000, 4.787583912426134e+21, 1.00777508313879e+23 ]
null
A261234_aug
[ 1, 2, 5, 3, 2, 2, 7, 8, 5, 5, 8, 3, 8, 3, 4, 6, 2, 4, 0, 6, 7, 2, 3, 3, 2, 6, 4, 2, 6, 3, 6, 0, 5, 8, 0, 6 ]
null
A259957_aug
[ 155, 439, 1603, 5449, 18681, 64891, 222813, 764865, 2637815, 9090487, 31281933, 107674395, 370788133, 1276814309, 4396089911, 15135449051, 52112945503, 179433951141, 617811988681, 2127175449173, 7324071255063, 25217614284475 ]
null
A202380_aug
[ 3, 15, 5670, 1134, 311850, 364864500, 3831077250, 390769879500, 3508136593211250, 58468943220187500, 4437792790412231000, 3234019037547375000, 1.8172761476738088e+22, 1.054020165650809e+24, 3.329928708628872e+27, 3.39652728280145e+30, 3.331209450439883e+30 ]
null
A186130_aug
[ -12, -1, -50, -26, -102, -62, -129, -113, -208, -197, -238, -227, -375, -260, -404, -386, -443, -414, -489, -456, -691, -508 ]
null
A187135_aug
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null
A050140_aug
[ 8, 1, 22, 15, 34, 29, 48, 41, 62, 55, 76, 69, 88, 81, 102, 95, 116, 109, 128, 121, 135 ]
null
A000814_aug
[ 9, 9, 12, 0, 6, 12 ]
null
A020128_aug
[ 1, 1, 3, 1, 42, 9, 1528, 232, 99851, 11611, 10160756, 958562, 1485096082, 117864769, 294880677942, 20197306709, 76362300359741, 4600138575888, 24997962645764524, 1343976486331426, 489960067856984640 ]
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A046916_aug
[ 1, 5, 17, 43, 97, 211, 457, 995, 2177, 4771, 10441, 22771, 49441, 106835, 229769, 491971, 1049089, 2228803, 4719241, 9962195, 20972321, 44041075, 92275657, 192939043, 402654337, 838862051, 1744831817, 3623880115, 7516194337 ]
null
A372960_aug
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A013245_aug
[ 0, 1, 0, 0, 0, -3, 168, -90, 22176, -4095, 2834480, -291564, 415999584, -31372803, 72640890840, -4743336598, 15092982705088, -927946226207, 3666238685959392, -219492662105272, -59492414408303970 ]
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A312393_aug
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null
A254852_aug
[ 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0 ]
null
A325241_aug
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null
A128699_aug
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A227505_aug
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A028545_aug
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A000795_aug
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null
A102891_aug
[ 7, 7, 7, 7, 7, 3, 7, 3 ]
null
A204106_aug
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null
A312743_aug
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null
A289837_aug
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A314616_aug
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