Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A341944
[ 3, 4, 7, 6, 9, 8, 15, 12, 11, 18, 13, 14, 17, 16, 31, 24, 19, 20, 23, 22, 37, 26, 25, 28, 27, 34, 29, 30, 33, 32, 63, 48, 35, 36, 39, 38, 41, 40, 47, 44, 43, 74, 45, 46, 53, 50, 49, 56, 51, 52, 55, 54, 69, 58, 57, 60, 59, 66, 61, 62, 65, 64, 127, 96, 67, 68 ]
[ "nonn", "base" ]
A357099
[ 5, 7, 11, 9, 11, 13, 7, 15, 19, 17, 23, 29, 19, 25, 11, 29, 23, 26, 17, 35, 27, 34, 15, 37, 19, 55, 33, 51, 43, 35, 47, 41, 19, 49, 39, 43, 53, 31, 29, 69, 59, 23, 71, 64, 47, 61, 56, 31, 89, 51, 67, 27, 34, 55, 89, 73, 41, 77, 91, 59, 64, 69, 19, 83, 63, 71 ]
[ "nonn" ]
A292338
[ 1, 7, 203, 11977, 154553, 353423, 4482037, 9904979, 20851957, 69262991, 264440183, 6824905927, 7803226417, 17244568439, 47773414171, 57280493557, 120586867331, 197922271883, 218692031341, 249815987281, 409580786629, 460390358603, 802768833013, 963574941161, 1003238606531, 1146808373599, 1385429010959, 1529257578289 ]
[ "nonn" ]
A292171
[ 16, 47, 117, 327, 988, 3392, 8739, 21372, 53596, 135791, 362528, 887060, 2117839, 4997836, 11731828, 28229247, 66196942, 152418888, 347010327, 784580873, 1794241712, 4064606075, 9109879761, 20253187230, 44774963928, 99368298849, 219638865759, 482519177252 ]
[ "nonn" ]
A354152
[ 1, 0, 1, 1, 4, 13, 82, 579, 4740, 43387, 439794, 4890741, 59216644, 775596313, 10927434466, 164806435783, 2649391469060, 45226435601207, 817056406224418, 15574618910994664, 312400218671253760, 6577618644576902000, 145051250421230220000, 3.343382818203784e+21 ]
[ "nonn" ]
A070224
[ 18, 36, 72, 96, 140, 144, 234, 288, 336, 468, 486, 490, 576, 825, 864, 924, 936, 972, 980, 1008, 1120, 1152, 1248, 1872, 1944, 1960, 2300, 2304, 2310, 2352, 2592, 2673, 2772, 2964, 3024, 3040, 3234, 3332, 3500, 3610, 3744, 3840, 3888, 3920, 4235, 4329 ]
[ "easy", "nonn" ]
A242752
[ 2, 3, 5, 13, 17, 29, 31, 41, 47, 61, 89, 101, 107, 137, 167, 179, 193, 197, 223, 229, 251, 257, 263, 271, 293, 313, 337, 347, 353, 379, 401, 431, 439, 487, 499, 587, 593, 599, 601, 643, 647, 653, 659, 677, 701, 727, 733, 739, 751, 797, 821, 823, 829, 857, 919, 929, 941, 967, 971, 983 ]
[ "nonn" ]
A215658
[ 2, 3, 5, 7, 17 ]
[ "nonn", "more" ]
A016345
[ 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1 ]
[ "sign", "fini", "full" ]
A174030
[ 1, 3, 7, 13, 21, 33, 49, 67, 91, 123, 159, 207, 261, 325, 397, 493, 601, 729, 873, 1035, 1227, 1443, 1699, 1987, 2311, 2695, 3127, 3613, 4125, 4701, 5349, 6117, 6981, 7953, 8977, 10129, 11425, 12883, 14419, 16147, 18091, 20139, 22443, 25035, 27951, 31023 ]
[ "nonn" ]
A124243
[ 1, -1, 1, -2, 3, -4, 5, -7, 10, -12, 15, -20, 26, -32, 39, -50, 63, -76, 92, -114, 140, -168, 201, -244, 295, -350, 415, -496, 591, -696, 818, -967, 1140, -1332, 1554, -1820, 2126, -2468, 2861, -3324, 3855, -4448, 5126, -5916, 6816, -7824, 8970, -10292, 11793, -13471, 15372, -17548 ]
[ "sign" ]
A192841
[ 0, 0, 0, 1, 11, 346, 8731, 349401, 20156718, 1851292543, 266585533037, 61535828576431, 22709782832888744, 13463873321548595000, 1.2814751672955864e+22 ]
[ "nonn" ]
A081212
[ 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 3, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0 ]
[ "nonn" ]
A207942
[ 12, 144, 556, 2239, 11256, 58602, 319439, 1760946, 9794226, 54631117, 305277128, 1707053280, 9549210261, 53426703442, 298941739494, 1672751399083, 9360192196998, 52377176867242, 293090264883289, 1640067205915482 ]
[ "nonn" ]
A358012
[ 0, 1, 2, 3, 4, 1, 2, 3, 4, 5, 2, 3, 4, 5, 6, 3, 4, 5, 6, 7, 4, 5, 6, 7, 8, 5, 6, 7, 8, 9, 6, 7, 8, 9, 10, 7, 8, 9, 10, 11, 8, 9, 10, 11, 12, 9, 10, 11, 12, 13, 10, 11, 12, 13, 14, 11, 12, 13, 14, 15, 12, 13, 14, 15, 16, 13, 14, 15, 16, 17, 14, 15, 16, 17, 18, 15, 16 ]
[ "nonn", "easy" ]
A177766
[ 7, 32, 207, 828, 1376, 1692, 2000, 2656, 3807, 5751, 5840, 7168, 7487, 7520, 7740, 7751, 18775, 19845, 20240, 21303, 22159, 23743, 25168, 29808, 30464, 30743, 32512, 32768, 34524, 38551, 45824, 46332, 47776, 49375, 53775, 54204 ]
[ "nonn" ]
A367475
[ 1, 6, 54, 636, 9204, 157584, 3111312, 69533472, 1734229344, 47733263232, 1436801816448, 46942939272960, 1654215709835520, 62533593070755840, 2524077593084160000, 108339176213529380000, 4.927173048408858e+21, 2.3667389253508835e+23 ]
[ "nonn" ]
A315116
[ 1, 5, 9, 17, 21, 24, 33, 36, 43, 46, 53, 58, 65, 64, 77, 76, 87, 86, 97, 98, 109, 104, 121, 116, 131, 126, 141, 138, 153, 144, 165, 156, 175, 166, 185, 178, 197, 184, 209, 196, 219, 206, 229, 218, 241, 224, 253, 236, 263, 246 ]
[ "nonn" ]
A094507
[ 1, 1, 1, 1, 3, 1, 1, 7, 5, 1, 1, 19, 14, 7, 1, 1, 53, 46, 22, 9, 1, 1, 153, 150, 82, 31, 11, 1, 1, 453, 495, 299, 127, 41, 13, 1, 1, 1367, 1651, 1087, 507, 181, 52, 15, 1, 1, 4191, 5539, 3967, 1991, 781, 244, 64, 17, 1, 1, 13015, 18692, 14442, 7824, 3271, 1128, 316, 77, 19 ]
[ "nonn", "tabf" ]
A183796
[ 9395, 1405874, 209636605, 31282399226, 4667280876143, 696376467061670, 103901117941072620, 15502344363749910000, 2.3129927480531223e+21, 3.451049858092341e+23, 5.149062662065491e+25 ]
[ "nonn" ]
A334259
[ 37, 3790, 4991, 38073, 908979, 8378611, 62110713, 87126031, 8490820681, 9514920697, 24717215429, 784191725098, 836390891918 ]
[ "nonn", "base", "more" ]
A289911
[ 117067, 124483, 146137, 371893, 536539, 10349527, 10429753, 10687513, 11722657, 11823997, 12451927, 12484057, 12894547, 13042849, 14145799, 14823463, 17204359, 18517351, 18524749, 18647023, 19262587, 19544341, 19554277, 20540911, 20701957, 21874387, 30189721 ]
[ "nonn", "base" ]
A132461
[ 1, 1, 5, 10, 21, 51, 122, 295, 725, 1792, 4455, 11133, 27930, 70305, 177483, 449160, 1139157, 2894625, 7367720, 18781387, 47941271, 122524216, 313484385, 802877055, 2058184346, 5280670051, 13559216117, 34841384560, 89587774395 ]
[ "nonn" ]
A377816
[ 4, 9, 12, 16, 18, 20, 25, 28, 44, 45, 48, 49, 50, 52, 60, 63, 64, 68, 72, 75, 76, 80, 81, 84, 90, 92, 98, 99, 108, 112, 116, 117, 121, 124, 126, 132, 140, 147, 148, 150, 153, 156, 162, 164, 169, 171, 172, 175, 176, 188, 192, 198, 200, 204, 207, 208, 212, 220, 228 ]
[ "nonn", "easy" ]
A278444
[ 1, 10, 100, 1011, 10100, 101011, 1010000, 10101111, 101010000, 1010101111, 10101000000, 101010111111, 1010101000000, 10101010111111, 101010100000000, 1010101011111111, 10101010100000000, 101010101011111100, 1010101010000000000, 10101010101111112000 ]
[ "nonn", "easy" ]
A252046
[ 1552, 2440, 2812, 3494, 5192, 7642, 10084, 15096, 22090, 33394, 51822, 80300, 121316, 192672, 295944, 470038, 746074, 1178492, 1862412, 2996984, 4730680, 7662842, 12351324, 19845934, 32072160, 52188856, 84194786, 137851756 ]
[ "nonn" ]
A333594
[ 7, 14, 42, 28, 84, 77, 9, 18, 5, 3, 2, 6, 8, 4, 11, 40, 12, 400, 22, 24, 72, 44, 36, 16, 48, 30, 20, 60, 33, 37, 45, 15, 50, 150, 54, 66, 55, 82, 75, 25, 220, 32, 288, 96, 396, 88, 64, 192, 576, 640, 480, 80, 160, 360, 63, 70, 21, 700, 140, 420, 126, 4158, 154, 462, 1540, 518, 1188, 444, 74, 90, 27, 81, 165, 495, 297, 99 ]
[ "base", "nonn" ]
A001106
[ 0, 1, 9, 24, 46, 75, 111, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1089, 1216, 1350, 1491, 1639, 1794, 1956, 2125, 2301, 2484, 2674, 2871, 3075, 3286, 3504, 3729, 3961, 4200, 4446, 4699, 4959, 5226, 5500, 5781, 6069, 6364 ]
[ "nonn", "easy", "nice" ]
A326111
[ 8, 12, 16, 18, 20, 24, 27, 28, 30, 36, 42, 44, 45, 50, 52, 54, 60, 63, 66, 68, 70, 75, 76, 78, 81, 90, 92, 98, 99, 100, 102, 105, 110, 114, 116, 117, 124, 125, 126, 130, 135, 138, 140, 147, 148, 150, 153, 154, 164, 165, 170, 171, 172, 174, 175, 182, 186, 188 ]
[ "nonn", "easy" ]
A312325
[ 1, 4, 8, 14, 16, 24, 26, 30, 34, 44, 40, 50, 52, 62, 54, 70, 72, 74, 76, 88, 90, 86, 98, 108, 100, 110, 116, 126, 110, 134, 136, 134, 136, 152, 154, 142, 162, 172, 160, 170, 180, 190, 166, 198, 200, 194, 196, 216, 218, 198 ]
[ "nonn" ]
A377415
[ 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 4, 5, 4, 5, 0, 0, 2, 2, 0, 0, 2, 2, 8, 8, 10, 10, 8, 8, 10, 10, 0, 1, 0, 1, 4, 5, 4, 5, 0, 1, 0, 1, 4, 5, 4, 5, 16, 17, 16, 17, 20, 21, 20, 21, 16, 17, 16, 17, 20, 21, 20, 21, 0, 0, 2, 2, 0, 0, 2, 2, 8, 8, 10, 10, 8, 8, 10 ]
[ "nonn", "base", "easy" ]
A190854
[ 1, 2, 4, 5, 6, 8, 10, 14, 16, 17, 18, 20, 22, 26, 28, 32, 34, 40, 42, 44, 50, 52, 53, 56, 58, 62, 64, 66, 68, 70, 74, 80, 82, 86, 88, 90, 98, 100, 104, 106, 112, 114, 122, 124, 128, 130, 134, 136, 138, 152, 158, 160, 161, 162, 170, 172, 176, 178, 188, 194, 196, 200, 202, 206, 208, 210, 212, 214, 224, 226, 234, 242, 244, 248, 250, 256 ]
[ "nonn" ]
A235927
[ 1788, 51736, 1490648, 43061840, 1242490716, 35871300604, 1035323302960, 29885966087744, 862635390679796, 24900210870914920, 718738345158303000, 20746394342769170000, 598842214994663000000, 1.7285550535483406e+22 ]
[ "nonn" ]
A085374
[ 1, 12, 100, 700, 4410, 25872, 144144, 772200, 4011150, 20323160, 100876776, 492156392, 2366136500, 11232648000, 52739956800, 245240799120, 1130632213590, 5172827121000, 23504600427000, 106141827191400, 476627347816620, 2129348151284640, 9468445336740000 ]
[ "easy", "nonn" ]
A255437
[ 1, 2, 3, 1, 3, 5, 6, 7, 8, 1, 3, 5, 10, 11, 12, 13, 14, 15, 1, 3, 5, 7, 17, 18, 19, 20, 21, 22, 23, 24, 1, 3, 5, 7, 9, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 1, 3, 5, 7, 9, 11, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 1, 3, 5, 7, 9, 11, 13, 50, 51 ]
[ "nonn" ]
A344441
[ 2, 0, 0, 6, 0, 4, 0, 0, 14, 8, 0, 0, 0, 12, 16, 22, 0, 0, 0, 0, 24, 20, 0, 20, 42, 24, 0, 0, 0, 0, 0, 0, 40, 32, 48, 42, 0, 36, 48, 40, 0, 0, 0, 0, 0, 44, 0, 0, 86, 0, 64, 0, 0, 40, 80, 60, 72, 56, 0, 48, 0, 60, 0, 86, 96, 0, 0, 0, 88, 0, 0, 0, 0, 72, 0, 0, 120, 0, 0, 0, 122, 80, 0, 72, 128, 84, 112, 100, 0, 56, 144 ]
[ "nonn" ]
A069669
[ 6, 78, 496, 8778, 58996, 887778, 5897895, 88877778, 686999778, 9876799878, 89996788896, 777887999778, 7798988788878, 77779987999896, 589598998999878, 7898898998885986, 78999997699698780, 999699998689999000 ]
[ "nonn", "base" ]
A387658
[ 2, 10, 16, 8, 10, 32, 24, 0, 16, 34, 32, 24, 8, 32, 48, 0, 10, 56, 40, 24, 32, 48, 24, 0, 24, 42, 80, 32, 0, 80, 48, 0, 16, 48, 56, 48, 34, 32, 72, 0, 32, 104, 48, 24, 24, 80, 48, 0, 8, 58, 96, 48, 32, 80, 96, 0, 48, 48, 32, 72, 0, 80, 96, 0, 10, 112, 96, 24, 56, 96, 48 ]
[ "nonn" ]
A176326
[ 7, 9, 11, 6, 11, 8, 5, 13, 5, 4, 15, 2, 3, 17, -1, 2, 19, -4, 1, 21, -7, 0, 23, -10, -1, 25, -13, -2, 27, -16, -3, 29, -19, -4, 31, -22, -5, 33, -25, -6, 35, -28, -7, 37, -31, -8, 39, -34, -9, 41, -37, -10, 43, -40, -11, 45, -43, -12, 47, -46 ]
[ "sign", "easy", "less" ]
A142940
[ 163, 227, 419, 547, 739, 1123, 1187, 1571, 1699, 2083, 2339, 2467, 2531, 2659, 2851, 3299, 3491, 4003, 4259, 4451, 4643, 5347, 5923, 5987, 6563, 6691, 6883, 6947, 7331, 7459, 7523, 7907, 8291, 8419, 8803, 8867, 9059, 9187, 10211, 10531, 10723, 10979, 11171 ]
[ "nonn", "easy" ]
A020923
[ 1, -22, 198, -924, 2310, -2772, 924, 264, 198, 220, 308, 504, 924, 1848, 3960, 8976, 21318, 52668, 134596, 354200, 956340, 2641320, 7443720, 21360240, 62300700, 184410072, 553230216, 1680180656, 5160554872, 16015515120, 50181947376, 158639704608, 505664058438 ]
[ "sign" ]
A171138
[ 41, 83, 2141, 2659, 3863, 6089, 15791, 31891, 37813, 66541, 90173, 160663, 187123, 210713, 349663, 362291, 368689, 401519, 442763, 464141, 486023, 679223, 769243, 904679, 945391, 976513, 1061969, 1173829, 1231859, 1315453, 1352119, 1465141 ]
[ "nonn", "easy" ]
A161480
[ 1, 6, 9, 2, 2, 6, 0, 1, 4, 8, 1, 8, 0, 6, 7, 4, 1, 7, 8, 2, 9, 4, 4, 6, 2, 8, 6, 6, 0, 6, 3, 9, 5, 3, 2, 3, 4, 1, 3, 3, 3, 2, 3, 5, 6, 2, 0, 9, 3, 6, 7, 8, 8, 9, 5, 7, 5, 0, 2, 1, 1, 5, 7, 9, 3, 9, 4, 6, 2, 1, 4, 9, 6, 0, 3, 8, 3, 4, 2, 5, 6, 3, 8, 0, 0, 1, 5, 0, 8, 9, 8, 3, 2, 2, 2, 6, 7, 5, 1, 5, 0, 4, 7, 2, 6 ]
[ "cons", "nonn" ]
A012174
[ 1, 1, 1, 5, 17, 121, 721, 6621, 56545, 636337, 7062241, 94260341, 1283497841, 19853570985, 319471153457, 5628171840461, 104260273696961, 2063430523313761, 43168502192389820, 949149114720943100 ]
[ "nonn" ]
A029459
[ 1, 2, 6, 7, 10, 13, 14, 18, 19, 21, 26, 28, 36, 39, 42, 49, 52, 63, 69, 78, 84, 91, 98, 102, 117, 126, 147, 156, 169, 182, 196, 273, 308, 338, 343, 363, 364, 392, 507, 637, 676, 686, 728, 952, 968, 1029, 1078, 1183, 1274, 1352, 1372, 1573, 1768, 1898, 1911 ]
[ "nonn", "base" ]
A215528
[ 1, 6, 9, 24, 27, 30, 33, 36, 45, 66, 75, 96, 99, 102, 105, 132, 135, 156, 177, 186, 189, 204, 219, 228, 237, 240, 255, 264, 273, 300, 321, 324, 327, 360, 375, 426, 429, 450, 483, 486, 489, 492, 519, 558, 585, 588, 597, 606, 621, 636, 657, 666, 693, 750, 759 ]
[ "nonn" ]
A290575
[ 1, 4, 40, 544, 8536, 145504, 2618176, 48943360, 941244376, 18502137184, 370091343040, 7508629231360, 154145664817600, 3196100636757760, 66834662101834240, 1407913577733228500, 29849617614785770000, 636440695668355800000, 1.363821007599924e+22, 2.93565508750164e+23, 6.344596821114217e+24 ]
[ "nonn", "easy" ]
A094787
[ 3, 2, 5, 5, 3, 2, 2, 17, 7, 17, 5, 13, 3, 2, 17, 11, 19, 7, 13, 5, 11, 3, 2, 3, 2, 23, 5, 53, 3, 2, 5, 17, 3, 2, 29, 13, 107, 11, 61, 41, 23, 7, 101, 5, 19, 3, 2, 73, 79, 31, 13, 29, 11, 67, 73, 113, 7, 23, 5, 61, 3, 2, 37, 17, 79, 59, 61, 13, 31, 11, 29, 53, 71, 7, 53, 5, 23, 3, 2, 41, 19 ]
[ "nonn" ]
A060232
[ 180179, 270269, 300299, 330329, 390389, 420419, 540539, 660659, 840839, 1231229, 1261259, 1501499, 1621619, 1861859, 1921919, 1951949, 2012009, 2372369, 2762759, 2972969, 3663659, 3693689, 3723719, 3903899, 4084079 ]
[ "nonn" ]
A077280
[ 9, 163, 155, 232, 12, 4599, 1474, 9156, 138429 ]
[ "nonn" ]
A224856
[ 0, 6, 7, 11, 14, 28, 30, 33, 37, 39, 47, 53, 61, 65, 74, 75, 76, 77, 84, 88, 91, 110, 128, 139, 152, 158, 170, 179, 180, 194, 195, 201, 215, 216, 228, 229, 251, 271, 282, 305, 308, 312, 334, 336, 345, 362, 366, 368, 370, 373, 383, 384, 410, 411, 413, 427, 450 ]
[ "nonn", "easy" ]
A377231
[ 1, 2, 2, 4, 8, 5, 4, 2, 8, 7, 2, 5, 1, 5, 5, 7, 8, 2, 7, 5, 8, 4, 5, 2, 1, 2, 2, 4, 8, 5, 4, 2, 8, 7, 2, 5, 1, 5, 5, 7, 8, 2, 7, 5, 8, 4, 5, 2, 1, 2, 2, 4, 8, 5, 4, 2, 8, 7, 2, 5, 1, 5, 5, 7, 8, 2, 7, 5, 8, 4, 5, 2, 1, 2, 2, 4, 8, 5, 4, 2, 8, 7, 2, 5, 1, 5, 5, 7, 8, 2, 7, 5, 8, 4, 5, 2 ]
[ "nonn", "easy", "base" ]
A062678
[ 6889, 7387, 23489, 25187, 31789, 32287, 34087, 48721, 50861, 56689, 60787, 68143, 68309, 68641, 68807, 73289, 73781, 76807, 78053, 78409, 78587, 78943, 78961, 80089, 81589, 87487, 88147, 98023, 98521, 106489, 106987, 108389, 110087 ]
[ "base", "easy", "nonn" ]
A216416
[ 1, 0, 0, 3, 0, 1, 3, 0, 8, 9, 0, 11, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 23, 21, 0, 0, 0, 0, 29, 30, 0, 0, 0, 0, 0, 4, 0, 3, 0, 0, 0, 0, 0, 22, 3, 0, 0, 48, 0, 2, 17, 0, 0, 54, 0, 56, 0, 0, 0, 11, 0, 0, 21, 0, 65, 9, 0, 4, 23, 0, 3, 0, 0, 74, 0, 0, 0, 39, 0, 33, 0 ]
[ "nonn" ]
A255311
[ 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 1, 4, 4, 6, 2, 1, 0, 2, 6, 6, 4, 6, 6, 2, 1, 0, 2, 4, 2, 1, 2, 1, 2, 4, 2, 4, 6, 2, 1, 0, 6, 6, 6, 2, 6, 4, 2, 1, 0, 1, 4, 4, 2, 4, 1, 4, 6, 1, 0, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 8, 1, 0, 2, 1, 0, 2, 6, 4, 6, 8, 4, 2, 4, 1, 2, 8, 4, 8, 4, 6, 1, 2, 2, 1, 8, 6, 1, 0, 6, 6, 2, 6, 1, 0, 6, 6, 2, 6 ]
[ "nonn", "base", "cons" ]
A221569
[ 0, 17, 59, 289, 1293, 5913, 26911, 122621, 558547, 2544357, 11590169, 52796369, 240501763, 1095550873, 4990531051, 22733220441, 103555975477, 471725515497, 2148837489879, 9788536778149, 44589436230083, 203116958964733 ]
[ "nonn" ]
A078028
[ 1, -1, 1, -3, 3, -5, 9, -11, 19, -29, 41, -67, 99, -149, 233, -347, 531, -813, 1225, -1875, 2851, -4325, 6601, -10027, 15251, -23229, 35305, -53731, 81763, -124341, 189225, -287867, 437907, -666317, 1013641, -1542131, 2346275, -3569413, 5430537, -8261963, 12569363, -19123037, 29093289 ]
[ "sign", "easy" ]
A037931
[ 30, 2, 3, 5, 5, 47, 547 ]
[ "fini", "full", "nonn", "tabf", "base" ]
A023440
[ 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 88, 142, 228, 367, 590, 949, 1526, 2454, 3946, 6345, 10203, 16406, 26381, 42420, 68211, 109682, 176367, 283595, 456016, 733266, 1179079, 1895939, 3048637, 4902156, 7882582 ]
[ "nonn", "easy" ]
A329652
[ 1001, 11, 1011, 101, 10011, 10101, 10101, 111, 11011, 100101, 100101, 10111, 100101, 10111, 10111, 1001, 100011, 110101, 110101, 100111, 110101, 100111, 100111, 101001, 110101, 100111, 100111, 101001, 100111, 101001, 101001, 1011, 101011, 1000101, 1000101, 110111, 1000101, 110111 ]
[ "nonn", "base" ]
A167928
[ 1, 0, 0, 0, 0, 1, 1, 3, 4, 6, 9, 13, 16, 23, 31, 38, 51, 65, 83, 104, 132, 162, 207, 252, 313, 381, 475, 571, 703, 846, 1032, 1237, 1502, 1791, 2164, 2570, 3086, 3659, 4375, 5167, 6146, 7244, 8584, 10086, 11909, 13954, 16421, 19195, 22510, 26250, 30696, 35714 ]
[ "nonn" ]
A345957
[ 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 4, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 4, 2, 2, 2 ]
[ "nonn" ]
A177363
[ 4, 14, 1124, 311234, 51222344, 6152336415, 816253743526, 9182738455461718, 12192831047556375000, 1.0161112103124957e+23, 3.0231132123134114e+25, 5.030116217314413e+25 ]
[ "easy", "nonn", "base" ]
A108119
[ 42, 53, 82, 115, 125, 141, 172, 177, 193, 233, 279, 369, 399, 431, 474, 500, 575, 580, 585, 650, 651, 672, 708, 737, 751, 760, 795, 798, 820, 841, 842, 863, 873, 933, 1019, 1031, 1099, 1112, 1166, 1178, 1225, 1245, 1266, 1312, 1352, 1436, 1463, 1479, 1505 ]
[ "nonn" ]
A026946
[ 1, 2, 11, 34, 195, 678, 3989, 14494, 86515, 321590, 1936881, 7301142, 44241261, 168359754, 1024642875, 3926147730, 23973456915, 92338836390, 565280386625, 2186194166950, 13411044301945, 52037098259090, 319756851757695, 1244063987615130, 7655279183309725, 29851422385561896 ]
[ "nonn" ]
A213234
[ 2, 1, 1, -2, 1, -3, 1, -4, 2, 1, -5, 5, 1, -6, 9, -2, 1, -7, 14, -7, 1, -8, 20, -16, 2, 1, -9, 27, -30, 9, 1, -10, 35, -50, 25, -2, 1, -11, 44, -77, 55, -11, 1, -12, 54, -112, 105, -36, 2, 1, -13, 65, -156, 182, -91, 13, 1, -14, 77, -210, 294, -196, 49, -2, 1, -15, 90, -275, 450, -378, 140, -15 ]
[ "sign", "tabf" ]
A019775
[ 8, 2, 4, 3, 6, 0, 6, 3, 5, 3, 5, 0, 0, 6, 4, 0, 7, 3, 4, 2, 4, 3, 2, 5, 3, 9, 3, 9, 0, 7, 0, 8, 1, 7, 8, 5, 8, 2, 6, 8, 8, 8, 0, 5, 0, 3, 5, 5, 0, 7, 4, 0, 0, 5, 7, 8, 7, 5, 3, 9, 6, 5, 5, 8, 2, 0, 3, 3, 0, 5, 1, 0, 5, 9, 7, 1, 0, 7, 8, 0, 4, 3, 1, 6, 3, 8, 8, 2, 6, 0, 0, 2, 8, 1, 8, 3, 3, 2, 1 ]
[ "nonn", "cons" ]
A192887
[ 0, 0, 0, 6, 47, 698, 17979, 799893, 63066783, 8698226987, 2104632006997, 892430799525617, 663245471214514200, 863873891464881600000 ]
[ "nonn" ]
A255368
[ 0, 1, -2, 2, -4, 5, -4, 7, -8, 6, -10, 11, -8, 13, -14, 10, -16, 17, -12, 19, -20, 14, -22, 23, -16, 25, -26, 18, -28, 29, -20, 31, -32, 22, -34, 35, -24, 37, -38, 26, -40, 41, -28, 43, -44, 30, -46, 47, -32, 49, -50, 34, -52, 53, -36, 55, -56, 38, -58, 59 ]
[ "sign", "mult", "easy" ]
A084141
[ 0, 22, 36, 47, 79, 98, 114, 134, 173, 178, 184, 210, 218, 221, 245, 254, 262, 284, 297, 305, 327, 333, 373, 387, 396, 426, 459, 466, 470, 484, 530, 544, 563, 567, 575, 587, 616, 650, 694, 700, 706, 708, 737, 776, 859, 881, 885, 898, 926, 939, 974, 993, 1002 ]
[ "nonn" ]
A125345
[ 1, 8, 52, 308, 2012, 13308, 88582, 590710, 3941716, 26308100, 175600282, 1172118538, 7823866514, 52224288462, 348597313326, 2326889050098, 15531999290132, 103676198275324, 692039319384424, 4619367120609720 ]
[ "nonn", "base" ]
A319848
[ 1, 2, 1, 3, 1, 4, 2, 1, 5, 1, 6, 2, 3, 1, 7, 1, 8, 4, 2, 1, 9, 3, 1, 10, 2, 5, 1, 11, 1, 12, 6, 4, 2, 3, 1, 13, 1, 14, 2, 7, 1, 15, 5, 3, 1, 16, 8, 4, 2, 1, 17, 1, 18, 6, 2, 9, 3, 1, 19, 1, 20, 10, 4, 2, 5, 1, 21, 7, 3, 1, 22, 2, 11, 1, 23, 1, 24, 12, 8, 6, 4, 2, 3, 1, 25, 5, 1, 26, 2, 13, 1, 27, 9, 3, 1 ]
[ "nonn", "tabf" ]
A087657
[ 1, 1, 12, 17, 17, 9, 8, 23, 29, 27, 14, 41, 41, 33, 26, 59, 59, 39, 44, 71, 65, 57, 56, 89, 89, 69, 62, 101, 95, 81, 104, 113, 113, 87, 134, 119, 131, 105, 146, 137, 149, 111, 176, 143, 161, 117, 212, 179, 173, 123, 224, 197, 179, 153, 242, 215, 197, 159, 260, 227, 203 ]
[ "nonn" ]
A120205
[ 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 12, 14, 15, 17, 19, 21, 23, 26, 29, 32, 35, 39, 44, 49, 54, 60, 67, 74, 82, 91, 102, 113, 125, 139, 155, 172, 191, 212, 236, 262, 291, 324, 360, 400, 444, 493, 548, 609, 677, 752, 835, 928, 1031, 1146, 1273, 1415, 1572 ]
[ "nonn" ]
A203025
[ 1, 1, 1, 4, 1, 1, 1, 8, 9, 1, 1, 4, 1, 1, 1, 16, 1, 9, 1, 4, 1, 1, 1, 8, 25, 1, 27, 4, 1, 1, 1, 32, 1, 1, 1, 36, 1, 1, 1, 8, 1, 1, 1, 4, 9, 1, 1, 16, 49, 25, 1, 4, 1, 27, 1, 8, 1, 1, 1, 4, 1, 1, 9, 64, 1, 1, 1, 4, 1, 1, 1, 36, 1, 1, 25, 4, 1, 1, 1, 16, 81, 1 ]
[ "nonn" ]
A328735
[ 1, 0, 14, 72, 882, 8400, 95180, 1060080, 12389650, 146472480, 1767391164, 21581516880, 266718438756, 3327025429728, 41849031952728, 530135326392672, 6757845419895570, 86619827323917890, 1115719258312182500, 14434274832755202000, 187477238295444800000 ]
[ "nonn" ]
A267747
[ 0, 1, 30, 31, 60, 61, 90, 91, 120, 121, 150, 151, 180, 181, 210, 211, 240, 241, 270, 271, 300, 301, 330, 331, 360, 361, 390, 391, 420, 421, 450, 451, 480, 481, 510, 511, 540, 541, 570, 571, 600, 601, 630, 631, 660, 661, 690, 691, 720, 721, 750, 751, 780, 781, 810, 811, 840 ]
[ "nonn", "easy" ]
A044068
[ 7, 23, 28, 39, 55, 71, 87, 92, 103, 112, 135, 151, 156, 167, 183, 199, 215, 220, 231, 247, 263, 279, 284, 295, 311, 327, 343, 348, 359, 368, 391, 407, 412, 423, 439, 448, 519, 535, 540, 551, 567, 583, 599, 604, 615, 624, 647, 663 ]
[ "nonn", "base" ]
A354770
[ 2, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, 7560, 10080, 15120, 20160, 25200, 27720, 50400, 55440, 83160, 110880, 166320, 221760, 277200, 332640, 498960, 554400, 665280, 720720, 1081080, 1441440, 2162160, 2882880, 3603600, 4324320, 6486480, 7207200, 8648640 ]
[ "nonn" ]
A329356
[ 0, 1, 2, 4, 9, 19, 38, 77, 154, 308, 617, 1234, 2468, 4937, 9875, 19750, 39501, 79003, 158006, 316012, 632025, 1264050, 2528101, 5056203, 10112406, 20224813, 40449626, 80899252, 161798505, 323597011, 647194022, 1294388045, 2588776091, 5177552182, 10355104365 ]
[ "nonn", "easy" ]
A012265
[ 0, 1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 3, 4, 3, 4, 3, 4, 5, 4, 5, 6, 5, 6, 5, 6, 7, 6, 7, 8, 7, 8, 7, 8, 9, 8, 9, 8, 9, 10, 9, 10, 11, 10, 11, 10, 11, 12, 11, 12, 11, 12, 13, 12, 13, 14, 13, 14, 13, 14, 15, 14, 15, 16 ]
[ "nonn", "easy", "nice" ]
A061768
[ 5, 11, 11, 11, 23, 23, 35, 39, 44, 47, 59, 59, 59, 71, 71, 71, 79, 79, 89, 89, 119, 119, 119, 119, 119, 119, 119, 143, 143, 143, 143, 143, 143, 143, 179, 179, 179, 179, 179, 179, 179, 179, 179, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239 ]
[ "nonn" ]
A357937
[ 11, 14, 15, 16, 15, 66, 14, 16, 99, 130, 11, 96, 13, 14, 15, 16, 17, 2898, 19, 160, 105, 22, 23, 96, 25, 26, 189, 28, 29, 390, 31, 32, 33, 34, 35, 2988, 37, 38, 39, 160, 41, 168, 43, 44, 495, 46, 47, 96, 49, 250, 51, 52, 53, 28998, 55, 56, 57, 58, 59, 4980, 61 ]
[ "nonn", "base" ]
A080154
[ 1, 2, 5, 9, 11, 13, 17, 22, 25, 28, 30, 36, 38, 41, 45, 48, 49, 53, 55, 58, 68, 76, 84, 85, 91, 94, 101, 114, 137, 139, 147, 153, 154, 156, 163, 165, 180, 189, 195, 200, 210, 211, 223, 235, 237, 241, 246, 247, 249, 253, 256, 272, 274, 286, 289, 293, 296, 306, 321, 323 ]
[ "nonn", "base" ]
A200657
[ 85580, 154396, 240004, 476425, 767125, 1235168, 1920032, 2555956, 5518439 ]
[ "nonn", "more" ]
A340804
[ 1, 1, 3, 1, 5, 9, 1, 7, 11, 13, 1, 9, 13, 17, 25, 1, 11, 15, 21, 29, 31, 1, 13, 17, 25, 33, 37, 49, 1, 15, 19, 29, 37, 43, 55, 57, 1, 17, 21, 33, 41, 49, 61, 65, 81, 1, 19, 23, 37, 45, 55, 67, 73, 89, 91, 1, 21, 25, 41, 49, 61, 73, 81, 97, 101, 121, 1, 23, 27, 45, 53, 67, 79, 89, 105, 111, 131, 133 ]
[ "nonn", "tabl" ]
A285607
[ 1, 1, 6, 3, 28, 7, 120, 79, 368, 415, 2016, 1855, 4544, 7807, 26496, 15615, 112384, 104959, 515584, 259071, 1842176, 518143, 7075840, 6213631, 27160576, 13344767, 124903424, 23543807, 528334848, 26640383, 2111275008, 102563839, 8507555840, 458883071 ]
[ "nonn", "easy" ]
A085401
[ 1, 3, 6, 19, 14, 7, 18, 37, 20, 43, 14, 51, 82, 41, 84, 37, 96, 149, 88, 155, 226, 299, 220, 137, 48, 155, 58, 159, 56, 165, 52, 179, 310, 173, 34, 183, 32, 189, 26, 193, 20, 199, 18, 217, 26, 219, 416, 205, 428, 201, 434, 205, 444, 193, 434, 177, 446, 183, 454, 731 ]
[ "nonn" ]
A336212
[ 1, 4, 22, 352, 19426, 3862744, 2764634356, 7403121210496, 73087416841865890, 2.7510962969494217e+21, 3.874422566550548e+26, 2.1042190302420795e+32, 4.318057318030489e+38, 3.443300668674111e+45 ]
[ "nonn" ]
A240656
[ 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 9, 3, 1, 1, 6, 17, 17, 6, 1, 1, 10, 43, 91, 43, 10, 1, 1, 21, 136, 352, 352, 136, 21, 1, 1, 42, 402, 1545, 2456, 1545, 402, 42, 1, 1, 86, 1180, 7154, 16629, 16629, 7154, 1180, 86, 1, 1, 179, 3518, 33269, 118863, 184819, 118863, 33269, 3518 ]
[ "nonn", "tabl" ]
A100849
[ 1, 2, 37, 451, 1699, 2131, 12612 ]
[ "hard", "more", "nonn" ]
A255418
[ 23, 145, 271, 403, 523, 655, 781, 911, 1037, 1157, 1289, 1417, 1543, 1673, 1801, 1927, 2057, 2183, 2305, 2437, 2563, 2693, 2819, 2951, 3071, 3197, 3331, 3457, 3587, 3713, 3841, 3967, 4093, 4223, 4349, 4477, 4603, 4735, 4855, 4987, 5113, 5237, 5369, 5489, 5621, 5747, 5875, 6001 ]
[ "nonn" ]
A126990
[ 3, 3, 7, 7, 13, 13, 19, 23, 23, 31, 31, 37, 43, 47, 47, 53, 61, 61, 67, 73, 73, 83, 89, 89, 97, 103, 103, 109, 113, 113, 131, 131, 139, 139, 151, 151, 157, 167, 167, 173, 181, 181, 193, 193, 199, 199, 211, 223, 229, 233, 233, 241, 241, 251, 257, 263, 271, 271, 277 ]
[ "nonn" ]
A025816
[ 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 3, 2, 4, 2, 4, 2, 4, 3, 5, 4, 6, 4, 6, 4, 7, 5, 8, 6, 9, 6, 9, 7, 10, 8, 11, 9, 12, 9, 13, 10, 14, 11, 15, 12, 16, 13, 17, 14, 18, 15, 19, 16, 21, 17, 22, 18, 23, 19, 24, 21, 26, 22, 27 ]
[ "nonn", "easy" ]
A041088
[ 7, 29, 36, 101, 137, 649, 9223, 37541, 46764, 131069, 177833, 842401, 11971447, 48728189, 60699636, 170127461, 230827097, 1093435849, 15538928983, 63249151781, 78788080764, 220825313309, 299613394073 ]
[ "nonn", "cofr", "frac", "easy" ]
A218438
[ 1, 1, 1, 6, 12, 19, 48, 110, 218, 470, 1040, 2208, 4710, 10184, 21879, 46879, 100767, 216570, 464952, 998613, 2145312, 4607724, 9896436, 21257196, 45658624, 98068864, 210642412, 452440320, 971794317, 2087314717, 4483345053, 9629771966, 20683772420, 44426659559 ]
[ "nonn" ]
A214480
[ 1, 545925250, 76321227908420, 46453389380074800, 51320060161363500, 97697128859455120, 144074197011621500, 148940867792910200, 127929553474479750000, 147918692235949500000, 178545970712140320000, 198535109473610070000, 1.3820812726743215e+22 ]
[ "nonn", "fini", "full" ]
A229520
[ 491, 23507, 680991, 17910863, 476435051, 12425155219, 329002027139, 8615734849077, 227806404072631, 5980357404174043, 157931611506915940, 4151816922039440400, 109543979251248500000, 2.882145648661247e+21 ]
[ "nonn" ]
A048078
[ 0, 0, 0, 0, 0, 0, 6, 10, 15, 60, 84, 112, 280, 360, 450, 1110, 1430, 1815, 5775, 7735, 10192, 33124, 44100, 57680, 170968, 223720, 288456, 846600, 1105800, 1427850, 4401540, 5784240, 7521360, 23544510, 30936334, 40225735, 124110415 ]
[ "nonn" ]
A386225
[ 24, 240, 600 ]
[ "nonn", "hard", "bref", "more" ]