Datasets:
N8Programs
/
oeis-enhanced

Dataset card Data Studio Files
xet
Community
1
id
stringlengths
7
11
seq
listlengths
1
347
keywords
listlengths
1
8
⌀
A359756
[ 0, 3, 6, 7, 13, 14, 15, 27, 29, 30, 31, 55, 59, 61, 62, 63, 111, 119, 123, 125, 126 ]
[ "nonn", "more" ]
A280558
[ 1, 2, 3, 6, 10, 12, 18, 34, 42, 61, 76, 85, 94, 178, 348, 451, 1123, 1455, 2234, 4519, 7502, 16036, 24216, 156522 ]
[ "nonn", "more", "hard" ]
A016255
[ 1, 20, 297, 3964, 50369, 624036, 7625689, 92469068, 1116354417, 13443332212, 161649541001, 1942101373212, 23321364646945, 279969412942148, 3360424215557433, 40330629408450800, 484006324653740740 ]
[ "nonn" ]
A324800
[ 1, 5, 17, 71, 379, 389, 2843, 5791, 52679, 54191, 601141, 608071, 8071243, 8148463, 8196511, 2060389, 35567153, 11912441, 227867909, 28847227, 8275057, 33289183, 768422549, 6163315597, 30969555953, 31263744353, 94216171859, 665249876813, 19372559860777, 19394741666137, 603566081213047 ]
[ "nonn", "frac" ]
A313055
[ 1, 4, 9, 14, 18, 23, 28, 33, 37, 45, 51, 57, 59, 67, 69, 80, 84, 94, 90, 96, 100, 108, 112, 120, 125, 127, 129, 141, 146, 154, 153, 162, 160, 168, 173, 182, 185, 190, 195, 201, 206, 215, 215, 222, 223, 234, 233, 242, 246, 252 ]
[ "nonn" ]
A090492
[ 1, 0, 1, 1, 2, 2, 3, 3, 5, 5, 8, 7, 11, 11, 15, 16, 20, 21, 27, 28, 35, 36, 44, 46, 55, 58, 67, 71, 82, 86, 99, 103, 117, 123, 138, 145, 161, 169, 187, 196, 216, 225, 247, 258, 281, 294, 318, 332, 359, 374, 403, 419, 450, 468, 501, 521, 555, 577, 614, 637, 677, 701, 743, 770, 814 ]
[ "nonn" ]
A325489
[ 1, 4, 4, 1, 3, 1, 3, 3, 1, 0, 2, 2, 2, 2, 0, 3, 4, 3, 0, 4, 2, 1, 2, 2, 0, 1, 1, 2, 4, 2, 3, 4, 2, 1, 2, 3, 4, 3, 1, 0, 3, 2, 3, 4, 2, 3, 4, 4, 4, 2, 2, 2, 4, 1, 1, 0, 2, 1, 3, 3, 2, 0, 0, 1, 2, 4, 4, 1, 0, 4, 1, 0, 2, 4, 0, 2, 2, 0, 1, 3, 1, 1, 4, 3, 4, 1, 2, 2 ]
[ "nonn", "base" ]
A105044
[ 2, 3, 5, 9, 14, 26, 33, 36, 42, 50, 53, 57, 60, 71, 72, 74, 78, 80, 86, 95, 99, 101, 102, 105, 108, 134, 135, 137, 138, 140, 144, 158, 162, 165, 173, 180, 183, 185, 189, 192, 200, 203, 204, 213, 222, 224, 231, 240, 243, 248, 254, 261, 267, 269, 273, 276, 278, 287 ]
[ "nonn", "easy" ]
A288100
[ 1, 4, 9, 20, 25, 36, 49, 112, 99, 100, 151, 180, 169, 196, 225, 704, 289, 396, 361, 500, 441, 604, 529, 1008, 1625, 676, 1377, 980, 841, 900, 1951, 4864, 1359, 1156, 1225, 1980, 1369, 1444, 1521, 2800, 601, 1764, 1849, 3020, 2475, 2116, 2209, 6336, 2695, 6500, 2601 ]
[ "nonn", "mult" ]
A253256
[ 1, 2, 11, 79, 647, 5727, 53367, 515802, 5123303, 51977485, 536320688, 5610909773, 59379328267, 634538481389, 6837466955193, 74210071037031, 810527496757335, 8901979424068377, 98253966680382100, 1089260346498608800, 12123804391067415000, 135427509933882300000, 1.5177256980309216e+21 ]
[ "nonn" ]
A080338
[ 2, 3, 6, 18, 36, 108, 324, 648, 3888, 11664, 23328, 34992, 69984, 209952, 419904, 1259712, 2519424, 22674816, 45349632, 136048896, 272097792, 408146688, 816293376, 2448880128, 14693280768, 29386561536, 88159684608, 264479053824 ]
[ "nonn" ]
A020924
[ 1, 26, 390, 4420, 41990, 352716, 2704156, 19315400, 130378950, 840219900, 5209363380, 31256180280, 182327718300, 1037865473400, 5782393351800, 31610416989840, 169905991320390, 899502306990300, 4697400936504900, 24228699567235800, 123566367792902580, 623715951716555900 ]
[ "nonn", "easy" ]
A063809
[ 1, 108, 2160, 40176, 743040, 13735872, 253912320, 4693641984, 86763294720, 1603843918848, 29647506124800, 548042492768256, 10130719683870720, 187269203879903230, 3461723926449684500, 63990940820356400000, 1.1828905464665368e+21 ]
[ "nonn" ]
A219446
[ 1, 2, 16, 169, 3808, 166748, 15411145, 2929991369, 1123026142524, 859987333591472 ]
[ "nonn" ]
A233367
[ 14, 46, 113, 250, 530, 1043, 1939, 3422, 5802, 9490, 15005, 23117, 34764, 51097, 73611, 104127, 144806, 198364, 268178, 358188, 473002, 618350, 800556, 1026633, 1305256, 1646531, 2061507, 2562949, 3165957, 3886739, 4742930, 5756595, 6950779 ]
[ "nonn" ]
A213982
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 3, 1, 2, 1, 1, 1, 3 ]
[ "nonn" ]
A120538
[ 1, 3, 7, 15, 29, 61, 114, 219, 404, 741, 1324, 2361, 4117, 7141, 12216, 20739, 34821, 58082, 95971, 157564, 256706, 415669, 668588, 1069410, 1700368, 2689649, 4232033, 6627005, 10327609, 16023577, 24751926, 38077930, 58342064, 89048720 ]
[ "nonn" ]
A171901
[ 11, 22, 33, 44, 55, 66, 77, 88, 99, 100, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 133, 144, 155, 166, 177, 188, 199, 200, 211, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 233, 244, 255, 266, 277, 288, 299, 300, 311, 322, 330, 331, 332, 333 ]
[ "base", "nonn" ]
A207479
[ 4, 16, 16, 58, 256, 58, 214, 3364, 3364, 214, 788, 45796, 133556, 45796, 788, 2902, 620944, 5632964, 5632964, 620944, 2902, 10686, 8421604, 236422326, 768149650, 236422326, 8421604, 10686, 39350, 114190596, 9918542118, 103954441786 ]
[ "nonn", "tabl" ]
A281327
[ 0, 2, 46, 394, 3102, 22342, 153982, 1028164, 6712782, 43087434, 272912970, 1710241966, 10623835430, 65512041216, 401476483174, 2447254681866, 14848545047958, 89727018732086, 540259780322574, 3242602059388124 ]
[ "nonn" ]
A381833
[ 2, 6, 15, 26, 35, 55, 100, 126, 135, 155, 200, 255, 300, 400, 626, 635, 655, 700, 755, 800, 900, 1125, 1255, 1300, 1400, 1625, 1900, 2125, 2625, 3126, 3135, 3155, 3200, 3255, 3300, 3400, 3625, 3755, 3800, 3900, 4125, 4400, 4625, 5125, 6255, 6300, 6400, 6625, 6900, 7125 ]
[ "nonn", "base" ]
A091861
[ 1, 2, 4, 3, 12, 30, 60, 420, 840, 1260, 630, 27720, 4620, 60060, 30030, 120120, 240240, 2042040, 3063060, 232792560, 58198140, 38798760, 19399380, 446185740, 892371480, 2230928700, 4461857400, 40156716600, 20078358300, 582272390700 ]
[ "nonn" ]
A281621
[ 173599, 418727, 1120979, 1283423, 1660677, 2755429, 3884515, 4704667, 5050711, 5058587, 5197757, 6613127, 6983139, 7423731, 10052677, 10311443, 11315237, 11769187, 15186613, 16145627, 18620507, 19579079, 19624723, 20823831, 20929957, 21387095, 21606883, 23517507 ]
[ "nonn", "base" ]
A312344
[ 1, 4, 8, 14, 17, 20, 28, 28, 38, 40, 42, 54, 51, 56, 68, 60, 80, 74, 80, 90, 85, 92, 106, 92, 122, 106, 118, 126, 119, 128, 144, 124, 164, 138, 156, 162, 153, 164, 182, 156, 206, 170, 194, 198, 187, 200, 220, 188, 248, 202 ]
[ "nonn" ]
A080894
[ 1, 1, 3, 19, 169, 2001, 29371, 516643, 10590609, 248113729, 6541248691, 191719042131, 6185020391353, 217824649952209, 8316522297035499, 342188317852814400, 15095509523107176000, 710794856254145600000 ]
[ "easy", "nice", "nonn" ]
A119974
[ 1, 2, -3, 4, 0, 5, 0, -6, 0, -7, 8, 0, 0, 0, 9, 0, 0, 10, 0, 0, -11, 0, -12, 0, 0, 0, 0, 13, 0, 0, 0, -14, 0, 0, 0, -15, 16, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 18, 0, 0, 0, 0, -19, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -23, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25 ]
[ "sign", "tabl" ]
A271032
[ 0, 112, 5040, 188034, 6872424, 255757328, 9790184488, 386105784866, 15669594394610, 653037680536962, 27884254995169024, 1217213333853179000 ]
[ "nonn" ]
A316025
[ 1, 6, 9, 15, 18, 22, 28, 36, 39, 43, 50, 49, 56, 66, 69, 69, 80, 85, 82, 95, 102, 101, 103, 114, 117, 118, 133, 134, 134, 138, 145, 151, 156, 167, 165, 169, 171, 177, 189, 192, 199, 199, 203, 203, 213, 227, 224, 232, 234, 234 ]
[ "nonn" ]
A059685
[ 1, 2, 5, 16, 63, 315, 1979, 15576, 151606 ]
[ "nonn", "more" ]
A048839
[ 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 19, 20, 21, 22, 23, 26, 28, 29, 30, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 46, 47, 51, 52, 53, 55, 56, 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, 88, 89, 91, 92, 93, 94 ]
[ "nonn", "easy" ]
A040322
[ 18, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2, 1, 2, 1, 2, 8, 1, 6, 2, 36, 2, 6, 1, 8, 2 ]
[ "nonn", "cofr", "easy" ]
A272680
[ 0, 1, 4, 25, 4, 81, 25, 121, 16, 9, 81, 361, 25, 441, 225, 121, 16, 1089, 36, 625, 81, 169, 361, 1521, 49, 25, 841, 441, 225, 3721, 121, 2025, 64, 529, 1089, 4489, 36, 2401, 1225, 625, 81, 5329, 169, 2809, 11449, 361, 5929, 1521, 6241, 49, 100, 6561, 841, 6889 ]
[ "nonn", "base", "easy" ]
A104705
[ 1, 2, 3, 1, 4, 2, 1, 5, 6, 1, 2, 3, 1, 7, 2, 1, 8, 4, 1, 2, 3, 1, 9, 2, 1, 10, 11, 1, 2, 3, 1, 12, 2, 1, 4, 5, 1, 2, 3, 1, 13, 2, 1, 14, 6, 1, 2, 3, 1, 4, 2, 1, 15, 16, 1, 2, 3, 1, 17, 2, 1, 18, 4, 1, 2, 3, 1, 5, 2, 1, 7, 19, 1, 2, 3, 1, 20, 2, 1, 4, 8, 1, 2, 3, 1, 6, 2, 1, 21, 22, 1, 2, 3, 1, 4, 2, 1, 5, 23 ]
[ "easy", "nonn" ]
A080334
[ 1062, 52, 1042, 4032, 9022, 6112, 5202, 6391, 9481, 4671, 1861, 61, 1251, 4441, 9631, 6921, 5221, 6511, 9801, 4201, 169, 9, 148, 487, 927, 676, 526, 675, 925, 484, 144, 4, 163, 423, 982, 652, 522, 691, 961, 441, 121, 1, 18, 46, 94, 63, 52, 61, 9, 4, 1 ]
[ "nonn", "base", "fini", "full" ]
A259892
[ 2212, 13704, 151483, 954624, 5055255, 36899517, 265544204, 1657505754, 10777787104, 74223540333, 493525981009, 3224220550323, 21513589812308, 143942550183867, 952854630337292, 6317108715977706, 42075784020262790 ]
[ "nonn" ]
A267502
[ 0, 3, 0, 0, 0, 3, 9, 18, 45 ]
[ "nonn", "base", "more" ]
A126923
[ 1, 33, 561, 6534, 58542, 429726, 2688741, 14734797, 72139188, 320292159, 1304830527, 4923228882, 17335268874, 57322733226, 178956174243, 529880976603, 1494051617256, 4025876961117, 10400637791973, 25836376187094, 61877364279654, 143225155573038 ]
[ "nonn" ]
A322263
[ 1, 1, 2, 1, 3, 2, 1, 5, 4, 3, 1, 9, 10, 7, 2, 1, 17, 28, 21, 6, 4, 1, 33, 82, 73, 26, 2, 2, 1, 65, 244, 273, 126, 25, 8, 4, 1, 129, 730, 1057, 626, 7, 50, 15, 3, 1, 257, 2188, 4161, 3126, 697, 344, 85, 13, 4, 1, 513, 6562, 16513, 15626, 671, 2402, 585, 91, 9, 2, 1, 1025, 19684, 65793, 78126, 23725, 16808, 4369, 757, 13, 12, 6 ]
[ "nonn", "tabl", "frac" ]
A028315
[ 1, 1, 1, 1, 5, 1, 1, 1, 1, 7, 7, 1, 1, 19, 19, 1, 1, 9, 27, 27, 9, 1, 1, 65, 65, 1, 1, 11, 101, 101, 11, 1, 1, 57, 147, 231, 231, 147, 57, 1, 1, 13, 69, 69, 13, 1, 1, 273, 273, 1, 1, 15, 355, 855, 855, 355, 15, 1, 1, 111, 451, 2277, 2277, 451, 111, 1, 1, 17, 127, 1661, 3487, 5379, 5379, 3487, 1661, 127, 17, 1 ]
[ "nonn", "tabf" ]
A129012
[ 1, 1, 1, 2, 3, 3, 7, 12, 12, 27, 38, 38, 86, 128, 128, 264, 373, 373, 749, 1055, 1055, 2022, 2765, 2765 ]
[ "nonn" ]
A246679
[ 1, 2, 4, 3, 8, 16, 5, 32, 64, 9, 128, 6, 7, 256, 512, 13, 10, 1024, 21, 2048, 4096, 11, 8192, 12, 25, 16384, 18, 33, 32768, 65536, 19, 26, 131072, 37, 262144, 524288, 17, 20, 1048576, 15, 2097152, 42, 45, 4194304, 36, 57, 50, 8388608, 27, 16777216, 33554432, 29, 67108864, 134217728, 61, 268435456, 66, 43, 52, 24, 73, 14 ]
[ "nonn" ]
A239389
[ 1, 2, 3, 4, 7, 8, 11, 13, 32, 35, 40, 47, 50, 100, 118, 130, 178, 208, 220, 250, 254, 320, 353, 380, 401, 404, 466, 487, 598, 640, 652, 676, 680, 692 ]
[ "nonn", "more" ]
A327604
[ 0, 1, 832, 252207, 35241608, 2351580473, 89216898630, 2194653376016, 38376657658125, 509484171323720, 5390386822995890, 47150458233195944, 350827631527585000, 2271025998493100800, 13023793690772494000 ]
[ "nonn", "more", "hard" ]
A146545
[ 0, 132, 48330, 29269010, 23421826314 ]
[ "nonn" ]
A158201
[ 11, 41, 43, 61, 83, 101, 211, 241, 283, 383, 401, 421, 431, 433, 443, 461, 601, 631, 641, 661, 683, 823, 853, 863, 883, 1021, 1061, 1201, 1283, 1361, 1423, 1433, 1483, 1583, 1601, 1621, 1783, 1823, 1873, 2011, 2083, 2111, 2141, 2143, 2161, 2221, 2243, 2341 ]
[ "nonn", "base", "easy", "less" ]
A337820
[ 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 7, 1, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 3, 1, 1, 1, 1, 9, 1, 3, 1, 5, 1, 3, 1, 1, 1, 5, 1, 5, 1, 3, 1, 3, 1, 1, 1, 1, 11, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 6, 1, 1, 1, 5, 1, 3, 1, 3, 1, 1, 1, 1, 13, 1, 3, 1, 3 ]
[ "nonn", "tabl" ]
A383779
[ 2, 3, 5, 7, 11, 13, 17, 19, 41, 43, 47, 61, 67, 83, 89, 97, 211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 307, 331, 337, 347, 349, 353, 359, 367, 383, 389, 397, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 701, 709, 727, 743, 751, 757, 761, 769, 773, 787 ]
[ "nonn", "base", "fini" ]
A225791
[ 1, 9, 54, 85, 853, 1162, 4209, 11566, 20060, 68048, 76221, 441294, 3007789, 4521955, 39443840, 39755851 ]
[ "nonn", "more" ]
A195943
[ 1, 2, 3, 4, 5, 7, 8, 9, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32, 37, 41, 43, 47, 49, 53, 59, 61, 64, 67, 71, 73, 79, 81, 83, 89, 97, 113, 121, 125, 127, 128, 131, 137, 139, 149, 151, 157, 163, 167, 169, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 243, 251, 256, 257, 263, 269, 271, 277, 281, 283, 289, 293, 311 ]
[ "nonn", "base" ]
A339492
[ 1, 2, 2, 3, 2, 2, 4, 3, 2, 3, 5, 3, 2, 3, 2, 6, 4, 3, 3, 2, 4, 7, 4, 3, 3, 2, 4, 2, 8, 5, 3, 4, 2, 4, 2, 4, 9, 5, 4, 4, 2, 4, 2, 4, 3, 10, 6, 4, 4, 3, 4, 2, 4, 3, 4, 11, 6, 4, 4, 3, 4, 2, 4, 3, 4, 2, 12, 7, 5, 5, 3, 5, 2, 4, 3, 4, 2, 6, 13, 7, 5, 5, 3, 5, 2, 4, 3, 4, 2, 6, 2 ]
[ "nonn", "tabl" ]
A246192
[ 24, 720, 17640, 430080, 11022480, 302472576, 8937981360, 284552040960, 9743091569640, 357820740076800, 14051646110285784, 588177615908413400, 26161789829441057000, 1.2328909098245061e+21, 6.138703801899681e+22, 3.2210708097331383e+24 ]
[ "nonn" ]
A124519
[ 1, 5, 6, 9, 15, 16, 19, 20, 26, 29, 35, 36, 50, 55, 69, 85, 86, 91, 96, 110, 119, 121, 124, 134, 135, 139, 149, 156, 161, 169, 174, 176, 189, 195, 216, 224, 226, 250, 260, 264, 271, 275, 280, 281, 289, 294, 295, 306, 314, 321, 335, 341, 344, 355, 356, 379, 399 ]
[ "nonn" ]
A182254
[ 0, 0, 0, 0, 18, 30, 510, 1470, 22890, 284550, 3171630, 18486930, 45347610, 4254260010, 2349577230, 371965003410, 9252750236730, 190224835871070, 221717289063270, 14855058367239090, 1662934646118135300, 45974266913148040000, 4510191947325194000 ]
[ "nonn" ]
A304215
[ 1, 5, 10, 32, 141, 740, 4263, 33924, 451917, 7831308, 167764973, 5472669192, 258530463654, 15734556958302, 1343566924722008, 166506641101860320, 27977584863900148000, 6.451992368321e+21, 2.112336251628682e+24 ]
[ "nonn" ]
A195818
[ 0, 1, 11, 14, 34, 39, 69, 76, 116, 125, 175, 186, 246, 259, 329, 344, 424, 441, 531, 550, 650, 671, 781, 804, 924, 949, 1079, 1106, 1246, 1275, 1425, 1456, 1616, 1649, 1819, 1854, 2034, 2071, 2261, 2300, 2500, 2541, 2751, 2794, 3014, 3059, 3289 ]
[ "nonn", "easy" ]
A262619
[ 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 3, 3, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 5, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 1, 3, 1, 3, 1, 1, 3, 5, 1, 1, 1, 1, 1, 3, 1 ]
[ "nonn" ]
A242148
[ 236, 7596, 93308, 663395, 3319500, 13006484, 42564898, 121330981, 310054250, 725133024, 1576001362, 3220436895, 6243597894, 11567739640, 20600804748, 35433429545, 59095358912, 95883815172, 151778022640, 234955848347 ]
[ "nonn" ]
A348928
[ 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 4, 3, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 4, 1, 2, 3, 4, 1, 6, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 1, 2, 5, 2, 3, 2, 1, 4, 1, 2, 3, 1, 1, 2, 1, 4, 1, 2, 1, 4, 1, 2, 1, 2, 1, 6, 1, 4, 1, 2, 1, 12, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 1, 4, 1, 2, 1, 4, 3 ]
[ "nonn", "easy" ]
A293377
[ 1, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 7, 6, 0, 1, 2, 7, 10, 9, 0, 1, 2, 7, 16, 25, 14, 0, 1, 2, 7, 16, 31, 38, 22, 0, 1, 2, 7, 16, 39, 62, 78, 32, 0, 1, 2, 7, 16, 39, 70, 117, 116, 46, 0, 1, 2, 7, 16, 39, 80, 149, 206, 206, 66, 0, 1, 2, 7, 16, 39, 80, 159, 262, 362 ]
[ "nonn", "tabl" ]
A203429
[ -2, 27, -576, 16875, -629856, 28588707, -1528823808, 94143178827, -6561000000000, 510526328421483, -43873901280755710, 4127185885192142000, -421812572812955550000, 4.654295339957886e+22 ]
[ "sign" ]
A105036
[ 0, 4, 8, 116, 220, 3024, 5724, 78520, 148616, 2038508, 3858304, 52922700, 100167300, 1373951704, 2600491508, 35669821616, 67512611920, 926041410324, 1752727418424, 24041406846820, 45503400267116, 624150536607008 ]
[ "nonn" ]
A365116
[ 3, 22, 1060, 1471180, 4470565318951, 2.1387196871513452e+25, 5.084061552853024e+50, 2.93206664431783e+101 ]
[ "nonn" ]
A159362
[ 140, 12294, 2662560, 69930726, 757151352, 5012811912, 24166949232, 93207184992, 304432906248, 874058038446, 2263674526272, 5387965282062, 11951940232536, 24975535442472, 49580936368752, 94138735350144, 171893283717384 ]
[ "nonn" ]
A287066
[ 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0 ]
[ "nonn", "easy" ]
A352416
[ 0, 1, 4, 2, 3, 9, 10, 11, 28, 5, 6, 16, 7, 8, 21, 22, 23, 57, 24, 25, 62, 26, 27, 67, 68, 69, 168, 12, 13, 33, 14, 15, 38, 39, 40, 98, 17, 18, 45, 19, 20, 50, 51, 52, 127, 53, 54, 132, 55, 56, 137, 138, 139, 337, 58, 59, 144, 60, 61, 149, 150, 151, 366, 63, 64 ]
[ "nonn", "base" ]
A061905
[ 7, 8, 13, 14, 16, 19, 22, 23, 24, 25, 27, 29, 31, 33, 34, 35, 36, 38, 41, 42, 46, 47, 52, 54, 55, 56, 57, 58, 59, 61, 65, 66, 68, 69, 70, 71, 72, 75, 78, 79, 80, 81, 84, 85, 95, 96, 99, 103, 104, 106, 108, 112, 115, 119, 121, 123, 129, 130, 131, 132, 135, 138, 139, 140 ]
[ "nonn", "base" ]
A337066
[ 1, 2, -1, -1, -1, 3, -1, -1, -1, 10, -1, 7, -1, 6, 4, -1, -1, 11, -1, 15, 12, 14, -1, 35, -1, 18, -1, 19, -1, 31, -1, -1, 8, 22, 5, 39, -1, 23, 17, 27, -1, 30, -1, 43, 16, 26, -1, 67, -1, 42, 21, 47, -1, 71, 9, 34, 24, 51, -1, 63, -1, 46, 20, -1, 28, 75, -1, 55, 25, 50, -1, 79, -1, 54, 36, 38 ]
[ "sign" ]
A137969
[ 1, 1, 3, 21, 136, 1032, 8139, 66975, 567417, 4915386, 43350639, 387889254, 3512655498, 32133132074, 296496163113, 2756279003712, 25790064341592, 242699145598212, 2295564345035100, 21811226043019788, 208084639385653950 ]
[ "nonn" ]
A066950
[ 1, 11, 18, 75, 172, 372, 482, 732, 3276, 7965, 13068, 46476, 103488, 252240, 727956, 1795605, 6030528, 8769600, 15436092, 56747712, 224518995, 297780084, 317961000, 855489144, 2691137721, 58016937600, 127198874880, 228517311456, 411814778112 ]
[ "more", "nonn" ]
A129129
[ 1, 2, 3, 4, 5, 6, 8, 7, 10, 9, 12, 16, 11, 14, 15, 20, 18, 24, 32, 13, 22, 21, 28, 25, 30, 40, 27, 36, 48, 64, 17, 26, 33, 44, 35, 42, 56, 50, 45, 60, 80, 54, 72, 96, 128, 19, 34, 39, 52, 55, 66, 88, 49, 70, 63, 84, 112, 75, 100, 90, 120, 160, 81, 108, 144, 192, 256 ]
[ "nonn", "tabf" ]
A369047
[ 1, 2, 2, 3, 2, 4, 2, 5, 6, 7, 2, 8, 2, 9, 10, 11, 2, 12, 2, 13, 14, 15, 2, 16, 14, 17, 18, 19, 2, 20, 2, 21, 22, 23, 24, 25, 2, 26, 27, 28, 2, 29, 2, 30, 31, 32, 2, 33, 22, 34, 35, 36, 2, 37, 27, 38, 39, 20, 2, 38, 2, 40, 41, 42, 43, 44, 2, 45, 46, 47, 2, 48, 2, 31, 49, 21, 43, 50, 2, 51, 52, 53, 2, 54, 39, 34, 55, 56, 2, 57 ]
[ "nonn" ]
A330278
[ 17479880417, 158074620437, 1071796554401, 1087779101699, 1153782400787, 1628444511389, 2066102452949, 2083857437327, 2561560206377, 3731086236287, 3751571181929, 4158362831639, 4878193583477, 5008751356547, 5378606656847, 5531533689527, 7020090738707, 7036216236989 ]
[ "nonn" ]
A120718
[ 0, 3, 6, 18, 45, 120, 312, 819, 2142, 5610, 14685, 38448, 100656, 263523, 689910, 1806210, 4728717, 12379944, 32411112, 84853395, 222149070, 581593818, 1522632381, 3986303328, 10436277600, 27322529475, 71531310822, 187271402994, 490282898157, 1283577291480 ]
[ "nonn", "easy" ]
A246776
[ 1, 0, 1, 0, 4, 2, 6, 4, 3, 9, 5, 8, 11, 9, 7, 8, 13, 9, 12, 14, 10, 13, 11, 10, 15, 17, 15, 17, 15, 5, 17, 15, 20, 11, 20, 16, 16, 19, 17, 17, 22, 13, 22, 20, 22, 12, 13, 22, 24, 22, 20, 24, 16, 21, 21, 21, 25, 21, 23, 25, 17, 14, 25, 27, 24, 14, 23, 20, 28, 26 ]
[ "nonn" ]
A283731
[ 0, 824, 69972, 2391696, 85216204, 2938694472, 94357463834, 2986938408668, 93021621886856, 2846643417330828, 86214103090062720, 2587462630174734300, 77033354035819430000, 2.2787421123626732e+21, 6.703371406640741e+22 ]
[ "nonn" ]
A326669
[ 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 21, 27, 28, 31, 32, 34, 35, 39, 40, 42, 49, 54, 56, 57, 62, 64, 65, 68, 70, 73, 78, 80, 84, 85, 93, 98, 99, 107, 108, 112, 114, 119, 124, 127, 128, 130, 133, 136, 140, 141, 146, 147, 155, 156, 160, 161, 167, 168, 170, 175 ]
[ "nonn", "base" ]
A023171
[ 1, 2, 4, 172, 748, 1958, 6307, 22313, 106012, 530308, 1051529, 1225708, 7188127, 14309369, 24168763, 30752921, 31373381, 34217107, 38527661, 40448867, 56051179, 81926788, 83917901, 87871781, 99922929, 122614387 ]
[ "nonn" ]
A313176
[ 1, 4, 9, 15, 18, 23, 30, 33, 38, 41, 51, 50, 58, 58, 73, 67, 78, 75, 94, 85, 98, 93, 115, 102, 118, 110, 137, 119, 138, 127, 158, 137, 158, 145, 179, 154, 178, 162, 201, 171, 198, 179, 222, 189, 218, 197, 243, 206, 238, 214 ]
[ "nonn" ]
A288114
[ 1, 0, 0, 0, 0, 0, 0, 1, 1, 7, 22, 48, 93, 180, 331, 575, 1150, 3578, 13268, 50808, 217173, 881980, 3064454, 9169075, 24605669, 61450068, 147038896, 347902716, 860591396, 2411664484, 8038395295, 30845855094, 126173520602, 513951305502, 1996531969713 ]
[ "nonn" ]
A210339
[ 19, 193, 52489, 114689, 9000000001, 259374246011, 38280596832649220, 59296646043258910, 408700964355468740, 2.434970217729661e+21, 1.357680363825023e+22, 2.1000000000000002e+22, 3.140085798164163e+27, 4.818833289797718e+27 ]
[ "nonn" ]
A131260
[ 4, 5, 6, 7, 11, 22, 66, 88, 202, 212, 242, 272, 404, 444, 464, 474, 595, 656, 707, 757, 777, 808, 828, 838, 868, 888, 969, 989, 1111, 1881, 2222, 2772, 3553, 4444, 5005, 5335, 5555, 5665, 5995, 6006, 6556, 6886, 8448, 8668, 8888, 9229, 9339, 10601 ]
[ "base", "easy", "nonn" ]
A158500
[ 1, 1, 1, -4, 15, -56, 210, -792, 3003, -11440, 43758, -167960, 646646, -2496144, 9657700, -37442160, 145422675, -565722720, 2203961430, -8597496600, 33578000610, -131282408400, 513791607420, -2012616400080, 7890371113950, -30957699535776, 121548660036300, -477551179875952, 1877405874732108, -7384942649010080 ]
[ "easy", "sign" ]
A112178
[ 1, -1, 0, -1, -1, 0, 0, -1, 0, 1, 0, 0, -1, 0, 0, -1, -1, 0, 2, -1, 0, -2, -2, 0, 0, -1, 0, 2, -1, 0, -2, -1, 0, -1, -2, 0, 4, -3, 0, -4, -3, 0, 0, -3, 0, 5, -2, 0, -4, -2, 0, -2, -3, 0, 8, -5, 0, -7, -6, 0, -1, -5, 0, 9, -4, 0, -8, -4, 0, -3, -6, 0, 14, -9, 0, -13, -10, 0, -2, -9, 0, 16, -8, 0, -14, -8, 0, -5, -11, 0, 24, -14, 0, -21, -16, 0, -3 ]
[ "sign" ]
A283616
[ 1, 1, 2, 1, 0, 2, 1, 0, 4, 4, 0, 6, 0, 0, 8, 1, 0, 0, 4, 0, 12, 3, 0, 20, 0, 0, 24, 0, 0, 24, 5, 0, 0, 32, 0, 16, 9, 0, 0, 56, 0, 72, 0, 0, 320, 0, 0, 0, 84, 0, 24, 240, 0, 512, 160, 0, 90, 0, 0, 0, 0, 0, 0, 12, 0, 500, 0, 0, 160, 672, 0, 0, 0, 0, 2880, 1792, 0, 0, 72, 0, 0, 378 ]
[ "nonn" ]
A159923
[ 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 2, 1, 2, 5, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 3, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 7, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 5, 3, 1, 1, 3, 5, 1, 3, 1, 1 ]
[ "nonn", "tabl" ]
A180837
[ 1, 1, 77, 5385, 545426, 79230924, 15755497776, 4122239926855 ]
[ "nonn" ]
A236213
[ 4, 2, 6, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]
[ "nonn", "easy" ]
A127749
[ 1, 0, 3, 0, -3, 5, 0, 3, -5, 7, 0, 0, 0, -7, 9, 0, -3, 5, 0, -9, 11, 0, 0, 0, 0, 0, -11, 13, 0, 3, -5, 7, 0, 0, -13, 15, 0, 0, 0, 0, 0, 0, 0, -15, 17, 0, 0, 0, -7, 9, 0, 0, 0, -17, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19, 21, 0, -3, 5 ]
[ "sign", "tabl" ]
A209109
[ 1, 3, 5, 22, 63, 238, 865, 3417, 13607, 55669, 230581, 968550, 4108547, 17589348, 75872175, 329480644, 1439151627, 6318822750, 27872030921, 123452835089 ]
[ "nonn" ]
A009884
[ 1, 2, 4, 10, 24, 38, 58, 91, 110, 138, 194, 230, 256, 319, 394, 416, 472, 586, 618, 687, 828, 848, 898, 1074, 1156, 1185, 1348, 1482, 1516, 1670, 1836, 1891, 2008, 2192, 2330, 2430, 2598, 2759, 2864, 3060, 3246, 3362, 3512, 3737, 3960, 4020, 4224, 4542 ]
[ "nonn" ]
A310036
[ 1, 3, 5, 8, 13, 18, 21, 22, 24, 27, 30, 35, 42, 48, 49, 51, 54, 55, 54, 56, 67, 78, 82, 78, 77, 83, 86, 83, 84, 99, 115, 116, 107, 105, 113, 116, 111, 114, 133, 150, 147, 134, 133, 143, 145, 140, 147, 169, 183, 176 ]
[ "nonn" ]
A320588
[ 21, 231, 312, 2143, 2341, 2413, 3142, 3412, 3421, 4123, 4312, 4321, 21453, 21534, 23154, 23451, 23514, 24153, 24513, 24531, 25134, 25413, 25431, 31254, 31452, 31524, 34152, 34251, 34512, 34521, 35124, 35214, 35412, 35421, 41253, 41523, 41532, 43152, 43251, 43512 ]
[ "nonn", "base", "tabf" ]
A069489
[ 1013, 1019, 1031, 1097, 1277, 1373, 1499, 1571, 1733, 1811, 1997, 2113, 2239, 2293, 2719, 3079, 3137, 3313, 3373, 3491, 3499, 3593, 3673, 3677, 3733, 3739, 3797, 4013, 4019, 4211, 4337, 4397, 4673, 4877, 4919, 5233, 5419, 5479, 6011, 6073, 6079, 6131 ]
[ "nonn", "base" ]
A017142
[ 46656, 7529536, 113379904, 729000000, 3010936384, 9474296896, 24794911296, 56800235584, 117649000000, 225199600704, 404567235136, 689869781056, 1126162419264, 1771561000000, 2699554153024 ]
[ "nonn", "easy" ]
A107336
[ 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 2, 1, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 3, 1, 1, 3, 1, 2, 3, 3, 2 ]
[ "nonn", "uned" ]
A139949
[ 2, 193, 197, 233, 277, 337, 373, 457, 557, 613, 673, 877, 953, 1033, 1117, 1297, 1493, 1597, 1733, 1877, 1913, 1933, 1997, 2053, 2153, 2213, 2417, 2437, 2657, 2713, 2837, 2857, 3137, 3313, 3593, 3637, 4153, 4253, 4397, 4517, 4813, 4817 ]
[ "nonn", "easy" ]
A386562
[ 4, 44, 24, 4, 184, 216, 24, 560, 780, 56, 1456, 1844, 224, 12, 3100, 3788, 376, 24, 4, 5860, 7100, 1148, 156, 8, 9860, 12436, 1848, 164, 20, 4, 16044, 19732, 3100, 460, 16, 4, 24744, 29568, 5048, 516, 32, 12, 36780, 43472, 9608, 1400, 68, 20, 52296, 61244, 12628, 1784, 116, 16 ]
[ "nonn", "tabf" ]
A125736
[ 6, 8, 9, 12, 11, 13, 13, 17, 14, 24, 16, 21, 17, 25, 16, 36, 17, 29, 22, 33, 22, 33, 24, 19, 26, 38, 21, 60, 20, 45, 29, 26, 29, 49, 31, 53, 32, 57, 23, 84, 27, 54, 40, 58, 36, 61, 23, 34, 29, 73, 28, 69, 24, 38, 44, 81, 43, 120, 45, 74, 45, 31, 28, 85, 37, 93, 35, 97, 26, 144 ]
[ "nonn" ]
A280973
[ 1, 0, 1, 1100, 1, 111100, 1, 11111100, 1001, 1111101000, 11011, 111111000100, 10001, 11111111000100, 10101, 1111111111011010, 10100101, 111111111001000110, 10001, 11111111111111000000, 1110010101, 1.1111111111001e+21, 101001101, 1.1111111111111e+23 ]
[ "nonn", "easy" ]
A036201
[ 0, 106, 1, 14, 138, 107, 142, 120, 2, 46, 189, 15, 172, 50, 139, 28, 123, 108, 55, 152, 143, 97, 118, 121, 78, 80, 3, 156, 70, 47, 164, 134, 190, 31, 82, 16, 11, 161, 173, 60, 167, 51, 88, 5, 140, 26, 76, 29, 86, 184, 124, 186, 158, 109, 129, 64, 56, 176, 195 ]
[ "nonn", "fini", "full" ]