Munafo's Classical Sequences
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2, 2, 6, 9, 28, 50, 174, 357, 1400, 3222, 14010, 35453, 168132, 460902, 2353862, 6913545, 37661808, 117530282, 677912562, 2233075377, 13558251260, 46894582938, 298281527742, ...
MCS214024 : A0 = 1; A1 = 2; AK+1 = K AK-1 + K (score: 4)
2, 2, 6, 10, 22, 42, 86, 170, 342, 682, 1366, 2730, 5462, 10922, 21846, 43690, 87382, 174762, 349526, 699050, 1398102, 2796202, 5592406, 11184810, 22369622, 44739242, 89478486, 178956970, ...
MCS215200 (alias MCS6886422, MCS6886426) : A0 = 0; A1 = 2; AN = AN-1 + 2 AN-2 (score: 5)
Horadam sequence Wn(0, 2; 2, 1) ; Horadam sequence Wn(1, 0; 2, 1) ; Horadam sequence Wn(2, 2; 2, 1)
2, 2, 6, 11, 22, 36, 58, 85, 122, 166, 222, 287, 366, 456, 562, 681, 818, 970, 1142, 1331, 1542, 1772, 2026, 2301, 2602, 2926, 3278, 3655, 4062, 4496, 4962, 5457, 5986, 6546, 7142, 7771, 8438, ...
MCS213536 : A0 = 1; A1 = 2; AK+1 = AK-1 + K2 (score: 4)
2, 2, 6, 12, 36, 96, 312, 984, 3480, 12336, 47136, 182832, 748464, 3125280, 13603776, 60482976, 278143392, 1306353984, 6312935040, 31133660736, 157392361536, 811199236992, ...
MCS107524 : A0 = 0; A1 = 2; AK+1 = AK + K AK-1 (score: 5)
2, 2, 6, 14, 34, 82, 198, 478, 1154, 2786, 6726, 16238, 39202, 94642, 228486, 551614, 1331714, 3215042, 7761798, 18738638, 45239074, 109216786, 263672646, 636562078, 1536796802, 3710155682, ...
MCS6899738 : A0 = 2; A1 = 2; AN = 2 AN-1 + AN-2 (score: 5)
Horadam sequence Wn(2, 2; 1, 2)
2, 2, 6, 20, 86, 450, 2786, 19952, 162402, 1481570, 14978102, 166240692, 2009866406, 26294503970, 370132921986, ...
MCS106784 : A0 = 0; A1 = 2; AK+1 = K AK + AK-1 (score: 5)
2, 2, 6, 30, 210, 1890, 20790, 270270, 4054050, 68918850, 1309458150, 27498621150, 632468286450, ...
MCS247970 : A0 = 2; AK+1 = 2 K AK + AK (score: 5)
2, 2, 7, 8, 40, 49, 312, 401, 3071, 4099, 36451, 50216, 506215, 716789, 8049224, 11679198, 144169243, 213855538, 2871705662, 4346797055, 62963669026, 97104626603, ...
MCS196817 : A0 = 0; A1 = 1; A2 = 1; AK+1 = K AK-1 - AK-2 (score: 5)
2, 2, 7, 10, 37, 67, 269, 573, 2488, 5999, 27941, 74476, 369232, 1070605, 5612956, 17498912, 96490857, 320593372, 1850825195, 6508358297, 39187922467, 145034707729, 907830575038, ...
MCS6148 : A0 = 0; A1 = 1; A2 = 2; AK+1 = K AK-1 + AK-2 (score: 5)
2, 2, 8, 10, 42, 62, 296, 498, 2666, 4982, 29328, 59786, 381266, 837006, 5718992, 13392098, 97222866, 241057766, 1847234456, 4821155322, 38791923578, 106065417086, 892214242296, ...
MCS436233 : A0 = 0; A1 = 0; AK+1 = K AK-1 + 2 (score: 5)
2, 2, 8, 12, 64, 120, 768, 1680, 12288, 30240, 245760, 665280, 5898240, 17297280, 165150720, 518918400, 5284823040, 17643225600, 190253629440, 670442572800, ...
MCS106516 : A0 = 1; A1 = 2; AK+1 = 2 K AK-1 (score: 4)
2, 2, 8, 15, 48, 100, 324, 749, 2656, 6822, 26660, 75163, 320064, 977288, 4481092, 14659545, 71697728, 249212554, 1290559428, 4735038887, 25811188960, 99435817068, 567846157604, ...
MCS213128 : A0 = 1; A1 = 2; AK+1 = K AK-1 + K2 (score: 5)
2, 2, 9, 12, 50, 78, 357, 632, 3222, 6330, 35453, 75972, 460902, 1063622, 6913545, 17017968, 117530282, 306323442, 2233075377, 6126468860, 46894582938, 134782314942, ...
MCS3424406 : A0 = 1; A1 = 0; AK+1 = K AK-1 + K (score: 5)
2, 2, 10, 29, 74, 154, 290, 497, 802, 1226, 1802, 2557, 3530, 4754, 6274, 8129, 10370, 13042, 16202, 19901, 24202, 29162, 34850, 41329, 48674, 56954, 66250, 76637, 88202, 101026, 115202, 130817, ...
MCS213520 : A0 = 1; A1 = 2; AK+1 = AK-1 + K3 (score: 5)
2, 3, 0, 0, 0, 4, 5, 6, 3, 3, 3, 7, 8, 9, 6, 6, 6, 10, 11, 12, 9, 9, 9, 13, 14, 15, 12, 12, 12, 16, 17, 18, 15, 15, 15, 19, 20, 21, 18, 18, 18, 22, 23, 24, 21, 21, 21, 25, 26, 27, 24, 24, 24, 28, ...
MCS1675360 : A0 = 1; A1 = 2; A2 = 3; AK+1 = - AK-2 + K - 1 (score: 5)
2, 3, 0, 0, 4, 5, 2, 2, 6, 7, 4, 4, 8, 9, 6, 6, 10, 11, 8, 8, 12, 13, 10, 10, 14, 15, 12, 12, 16, 17, 14, 14, 18, 19, 16, 16, 20, 21, 18, 18, 22, 23, 20, 20, 24, 25, 22, 22, 26, 27, 24, 24, 28, ...
MCS3478274 : A0 = 2; A1 = 3; AK+1 = - AK-1 + K + 1 (score: 5)
2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9, 14, 15, 12, 13, 18, 19, 16, 17, 22, 23, 20, 21, 26, 27, 24, 25, 30, 31, 28, 29, 34, 35, 32, 33, 38, 39, 36, 37, 42, 43, 40, 41, 46, 47, 44, 45, 50, 51, 48, ...
MCS1714946 : A0 = 2; A1 = 3; AK+1 = - AK-1 + 2 K (score: 5)
2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, 3, 0, 2, ...
MCS49184 : A0 = 0; A1 = 2; A2 = 3; AN = AN-3 (score: 4)
2, 3, 0, 3, 0, 9, 0, 45, 0, 315, 0, 2835, 0, 31185, 0, 405405, 0, 6081075, 0, 103378275, 0, 1964187225, 0, 41247931725, 0, 948702429675, 0, ...
MCS855074 : A0 = 2; A1 = 3; AK+1 = K AK-1 - AK-1 (score: 5)
2, 3, 0, 4, 6, 0, 8, 12, 0, 16, 24, 0, 32, 48, 0, 64, 96, 0, 128, 192, 0, 256, 384, 0, 512, 768, 0, 1024, 1536, 0, 2048, 3072, 0, 4096, 6144, 0, 8192, 12288, 0, 16384, 24576, 0, 32768, 49152, 0, ...
MCS98384 : A0 = 0; A1 = 2; A2 = 3; AN = 2 AN-3 (score: 5)
2, 3, 1, 1, 1, 4, 5, 6, 4, 4, 4, 7, 8, 9, 7, 7, 7, 10, 11, 12, 10, 10, 10, 13, 14, 15, 13, 13, 13, 16, 17, 18, 16, 16, 16, 19, 20, 21, 19, 19, 19, 22, 23, 24, 22, 22, 22, 25, 26, 27, 25, 25, 25, ...
MCS397408 : A0 = 1; A1 = 2; A2 = 3; AK+1 = - AK-2 + K (score: 4)
2, 3, 1, 1, 4, 5, 3, 3, 6, 7, 5, 5, 8, 9, 7, 7, 10, 11, 9, 9, 12, 13, 11, 11, 14, 15, 13, 13, 16, 17, 15, 15, 18, 19, 17, 17, 20, 21, 19, 19, 22, 23, 21, 21, 24, 25, 23, 23, 26, 27, 25, 25, 28, ...
MCS1713677 : A0 = -1; A1 = -1; AK+1 = - AK-1 + K (score: 4)
2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, ...
MCS98368 : A0 = 1; A1 = 2; A2 = 3; AN = AN-3 (score: 3)
A simple period-3 sequence. (A010882)
2, 3, 1, 3, 4, 2, 4, 5, 3, 5, 6, 4, 6, 7, 5, 7, 8, 6, 8, 9, 7, 9, 10, 8, 10, 11, 9, 11, 12, 10, 12, 13, 11, 13, 14, 12, 14, 15, 13, 15, 16, 14, 16, 17, 15, 17, 18, 16, 18, 19, 17, 19, 20, 18, 20, ...
MCS204832 : A0 = 0; A1 = 2; A2 = 3; AN = AN-3 + 1 (score: 5)
2, 3, 1, 3, 5, 1, 5, 9, 1, 9, 17, 1, 17, 33, 1, 33, 65, 1, 65, 129, 1, 129, 257, 1, 257, 513, 1, 513, 1025, 1, 1025, 2049, 1, 2049, 4097, 1, 4097, 8193, 1, 8193, 16385, 1, 16385, 32769, 1, 32769, ...
MCS835744 : A0 = 1; A1 = 2; A2 = 3; AN = 2 AN-3 - 1 (score: 5)
2, 3, 1, 5, 2, 19, 9, 113, 62, 903, 557, 9029, 6126, 108347, 79637, 1516857, 1194554, 24269711, 20307417, 436854797, 385840922, 8737095939, 8102659361, 192216110657, 186361165302, ...
MCS876578 : A0 = 2; A1 = 3; AK+1 = K AK-1 - 1 (score: 5)
2, 3, 2, 1, 1, 3, 5, 6, 5, 4, 4, 6, 8, 9, 8, 7, 7, 9, 11, 12, 11, 10, 10, 12, 14, 15, 14, 13, 13, 15, 17, 18, 17, 16, 16, 18, 20, 21, 20, 19, 19, 21, 23, 24, 23, 22, 22, 24, 26, 27, 26, 25, 25, ...
MCS198704 : A0 = 0; A1 = 2; A2 = 3; AK+1 = - AK-2 + K (score: 5)
2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, ...
MCS1608768 : A0 = 1; A1 = 2; A2 = 3; AN = AN-1 - AN-2 + AN-3 (score: 5)
2, 3, 2, 1, 2, 5, 8, 9, 8, 7, 8, 11, 14, 15, 14, 13, 14, 17, 20, 21, 20, 19, 20, 23, 26, 27, 26, 25, 26, 29, 32, 33, 32, 31, 32, 35, 38, 39, 38, 37, 38, 41, 44, 45, 44, 43, 44, 47, 50, 51, 50, 49, ...
MCS3445506 : A0 = 2; A1 = 3; AK+1 = AK - AK-1 + K (score: 5)
2, 3, 2, 2, 2, 4, 5, 6, 5, 5, 5, 7, 8, 9, 8, 8, 8, 10, 11, 12, 11, 11, 11, 13, 14, 15, 14, 14, 14, 16, 17, 18, 17, 17, 17, 19, 20, 21, 20, 20, 20, 22, 23, 24, 23, 23, 23, 25, 26, 27, 26, 26, 26, ...
MCS1642592 : A0 = 1; A1 = 2; A2 = 3; AK+1 = - AK-2 + K + 1 (score: 5)
2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, ...
MCS6295730 : A0 = 2; A1 = 3; A2 = 2; AN = AN-3 (score: 5)
2, 3, 2, 2, 4, 5, 4, 4, 6, 7, 6, 6, 8, 9, 8, 8, 10, 11, 10, 10, 12, 13, 12, 12, 14, 15, 14, 14, 16, 17, 16, 16, 18, 19, 18, 18, 20, 21, 20, 20, 22, 23, 22, 22, 24, 25, 24, 24, 26, 27, 26, 26, 28, ...
MCS6857 (alias MCS869569, MCS3427350) : A0 = 0; A1 = 1; AK+1 = - AK-1 + K - 1 (score: 4)
2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, ...
MCS213506 : A0 = 2; A1 = 3; AN = AN-2 (score: 3)
A simple period-2 sequence. (A010693)
Horadam sequence Wn(2, 3; 1, 0)
2, 3, 2, 3, 4, 3, 4, 5, 4, 5, 6, 5, 6, 7, 6, 7, 8, 7, 8, 9, 8, 9, 10, 9, 10, 11, 10, 11, 12, 11, 12, 13, 12, 13, 14, 13, 14, 15, 14, 15, 16, 15, 16, 17, 16, 17, 18, 17, 18, 19, 18, 19, 20, 19, 20, ...
MCS409664 : A0 = 1; A1 = 2; A2 = 3; AN = AN-3 + 1 (score: 4)
2, 3, 2, 4, 4, 5, 7, 8, 11, 14, 18, 24, 31, 41, 54, 71, 94, 124, 164, 217, 287, 380, 503, 666, 882, 1168, 1547, 2049, 2714, 3595, 4762, 6308, 8356, 11069, 14663, 19424, 25731, 34086, 45154, 59816, ...
MCS1673280 : A0 = 1; A1 = 2; A2 = 3; AN = AN-2 + AN-3 - 1 (score: 5)
2, 3, 2, 4, 4, 7, 8, 12, 14, 19, 22, 28, 32, 39, 44, 52, 58, 67, 74, 84, 92, 103, 112, 124, 134, 147, 158, 172, 184, 199, 212, 228, 242, 259, 274, 292, 308, 327, 344, 364, 382, 403, 422, 444, 464, ...
MCS3510786 : A0 = 2; A1 = 3; AK+1 = AK-1 + K - 1 (score: 5)
2, 3, 2, 4, 6, 4, 8, 12, 8, 16, 24, 16, 32, 48, 32, 64, 96, 64, 128, 192, 128, 256, 384, 256, 512, 768, 512, 1024, 1536, 1024, 2048, 3072, 2048, 4096, 6144, 4096, 8192, 12288, 8192, 16384, 24576, ...
MCS196768 : A0 = 1; A1 = 2; A2 = 3; AN = 2 AN-3 (score: 4)
2, 3, 2, 4, 6, 6, 9, 12, 13, 17, 21, 23, 28, 33, 36, 42, 48, 52, 59, 66, 71, 79, 87, 93, 102, 111, 118, 128, 138, 146, 157, 168, 177, 189, 201, 211, 224, 237, 248, 262, 276, 288, 303, 318, 331, ...
MCS1675328 : A0 = 1; A1 = 2; A2 = 3; AK+1 = AK-2 + K - 1 (score: 5)
2, 3, 2, 5, 5, 7, 10, 12, 17, 22, 29, 39, 51, 68, 90, 119, 158, 209, 277, 367, 486, 644, 853, 1130, 1497, 1983, 2627, 3480, 4610, 6107, 8090, 10717, 14197, 18807, 24914, 33004, 43721, 57918, ...
MCS197664 : A0 = 0; A1 = 2; A2 = 3; AN = AN-2 + AN-3 (score: 5)
2, 3, 2, 5, 7, 7, 11, 14, 15, 20, 24, 26, 32, 37, 40, 47, 53, 57, 65, 72, 77, 86, 94, 100, 110, 119, 126, 137, 147, 155, 167, 178, 187, 200, 212, 222, 236, 249, 260, 275, 289, 301, 317, 332, 345, ...
MCS198688 : A0 = 0; A1 = 2; A2 = 3; AK+1 = AK-2 + K (score: 5)
2, 3, 2, 6, 6, 24, 30, 144, 210, 1152, 1890, 11520, 20790, 138240, 270270, 1935360, 4054050, 30965760, 68918850, 557383680, 1309458150, 11147673600, 27498621150, 245248819200, 632468286450, ...
MCS213026 : A0 = 2; A1 = 3; AK+1 = K AK-1 (score: 4)
2, 3, 3, 0, 0, 1, 5, 6, 6, 3, 3, 4, 8, 9, 9, 6, 6, 7, 11, 12, 12, 9, 9, 10, 14, 15, 15, 12, 12, 13, 17, 18, 18, 15, 15, 16, 20, 21, 21, 18, 18, 19, 23, 24, 24, 21, 21, 22, 26, 27, 27, 24, 24, 25, ...
MCS6358578 : A0 = 2; A1 = 3; A2 = 3; AK+1 = - AK-2 + K (score: 5)
2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, 1, 1, 2, 3, 3, 2, ...
MCS1747136 (alias MCS6988550) : A0 = 1; A1 = 2; AN = AN-1 - AN-2 + 2 (score: 5)
2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, 3, 3, 2, ...
MCS1573938 : A0 = 2; A1 = 3; A2 = 3; AN = AN-3 (score: 4)
2, 3, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 9, 9, 9, 10, 11, 12, 12, 12, 12, 13, 14, 15, 15, 15, 15, 16, 17, 18, 18, 18, 18, 19, 20, 21, 21, 21, 21, 22, 23, 24, 24, 24, 24, 25, 26, 27, 27, 27, 27, ...
MCS397409 (alias MCS25665, MCS6701453) : A0 = 0; A1 = 0; A2 = 1; AK+1 = - AK-2 + K (score: 4)
2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, ...
MCS6554674 : A0 = 2; A1 = 3; A2 = 3; AN = AN-3 + 1 (score: 5)
2, 3, 3, 3, 4, 5, 5, 5, 6, 7, 7, 7, 8, 9, 9, 9, 10, 11, 11, 11, 12, 13, 13, 13, 14, 15, 15, 15, 16, 17, 17, 17, 18, 19, 19, 19, 20, 21, 21, 21, 22, 23, 23, 23, 24, 25, 25, 25, 26, 27, 27, 27, 28, ...
MCS1673 (alias MCS1755521, MCS3478278, MCS6984454)
A0 = 0; A1 = 1; AK+1 = - AK-1 + K (score: 3)
One even, three odd (A004525)
2, 3, 3, 3, 4, 6, 8, 9, 9, 9, 10, 12, 14, 15, 15, 15, 16, 18, 20, 21, 21, 21, 22, 24, 26, 27, 27, 27, 28, 30, 32, 33, 33, 33, 34, 36, 38, 39, 39, 39, 40, 42, 44, 45, 45, 45, 46, 48, 50, 51, 51, ...
MCS430688 : A0 = 0; A1 = 2; AK+1 = AK - AK-1 + K (score: 5)
2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, ...
MCS868866 : A0 = 2; A1 = 3; AN = AN-2 + 1 (score: 4)
2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 9, 10, 11, 11, 12, 13, 13, 14, 15, 15, 16, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 27, 28, 29, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, ...
MCS13525 (alias MCS413729, MCS827456, MCS3309830)
A0 = 0; A1 = 1; AK+1 = - AK - AK-1 + 2 K (score: 5)
2, 3, 3, 4, 5, 7, 8, 9, 9, 10, 11, 13, 14, 15, 15, 16, 17, 19, 20, 21, 21, 22, 23, 25, 26, 27, 27, 28, 29, 31, 32, 33, 33, 34, 35, 37, 38, 39, 39, 40, 41, 43, 44, 45, 45, 46, 47, 49, 50, 51, 51, ...
MCS796768 : A0 = 1; A1 = 2; A2 = 3; AK+1 = - AK-2 + 2 K (score: 5)
2, 3, 3, 4, 6, 6, 8, 12, 12, 16, 24, 24, 32, 48, 48, 64, 96, 96, 128, 192, 192, 256, 384, 384, 512, 768, 768, 1024, 1536, 1536, 2048, 3072, 3072, 4096, 6144, 6144, 8192, 12288, 12288, 16384, ...
MCS3148338 : A0 = 2; A1 = 3; A2 = 3; AN = 2 AN-3 (score: 5)
2, 3, 3, 4, 6, 7, 9, 12, 14, 17, 21, 24, 28, 33, 37, 42, 48, 53, 59, 66, 72, 79, 87, 94, 102, 111, 119, 128, 138, 147, 157, 168, 178, 189, 201, 212, 224, 237, 249, 262, 276, 289, 303, 318, 332, ...
MCS6358066 : A0 = 2; A1 = 3; A2 = 3; AK+1 = AK-2 + K (score: 5)
2, 3, 3, 4, 6, 8, 11, 16, 23, 33, 48, 70, 102, 149, 218, 319, 467, 684, 1002, 1468, 2151, 3152, 4619, 6769, 9920, 14538, 21306, 31225, 45762, 67067, 98291, 144052, 211118, 309408, 453459, 664576, ...
MCS1679424 : A0 = 1; A1 = 2; A2 = 3; AN = AN-1 + AN-3 - 1 (score: 5)
2, 3, 3, 5, 5, 9, 9, 17, 17, 33, 33, 65, 65, 129, 129, 257, 257, 513, 513, 1025, 1025, 2049, 2049, 4097, 4097, 8193, 8193, 16385, 16385, 32769, 32769, 65537, 65537, 131073, 131073, 262145, 262145, ...
MCS1754370 : A0 = 2; A1 = 3; AN = 2 AN-2 - 1 (score: 5)
2, 3, 3, 5, 6, 8, 11, 14, 19, 25, 33, 44, 58, 77, 102, 135, 179, 237, 314, 416, 551, 730, 967, 1281, 1697, 2248, 2978, 3945, 5226, 6923, 9171, 12149, 16094, 21320, 28243, 37414, 49563, 65657, ...
MCS395328 (alias MCS6325298) : A0 = 1; A1 = 2; A2 = 3; AN = AN-2 + AN-3 (score: 4)
2, 3, 3, 5, 6, 9, 11, 15, 18, 23, 27, 33, 38, 45, 51, 59, 66, 75, 83, 93, 102, 113, 123, 135, 146, 159, 171, 185, 198, 213, 227, 243, 258, 275, 291, 309, 326, 345, 363, 383, 402, 423, 443, 465, ...
MCS856578 : A0 = 2; A1 = 3; AK+1 = AK-1 + K (score: 4)
2, 3, 3, 5, 7, 7, 11, 15, 15, 23, 31, 31, 47, 63, 63, 95, 127, 127, 191, 255, 255, 383, 511, 511, 767, 1023, 1023, 1535, 2047, 2047, 3071, 4095, 4095, 6143, 8191, 8191, 12287, 16383, 16383, 24575, ...
MCS819360 (alias MCS3277446) : A0 = 1; A1 = 2; A2 = 3; AN = 2 AN-3 + 1 (score: 5)
2, 3, 3, 5, 7, 8, 11, 14, 16, 20, 24, 27, 32, 37, 41, 47, 53, 58, 65, 72, 78, 86, 94, 101, 110, 119, 127, 137, 147, 156, 167, 178, 188, 200, 212, 223, 236, 249, 261, 275, 289, 302, 317, 332, 346, ...
MCS397376 : A0 = 1; A1 = 2; A2 = 3; AK+1 = AK-2 + K (score: 4)
2, 3, 3, 5, 8, 11, 16, 24, 35, 51, 75, 110, 161, 236, 346, 507, 743, 1089, 1596, 2339, 3428, 5024, 7363, 10791, 15815, 23178, 33969, 49784, 72962, 106931, 156715, 229677, 336608, 493323, 723000, ...
MCS200736 (alias MCS6423602) : A0 = 0; A1 = 2; A2 = 3; AN = AN-1 + AN-3 (score: 5)
2, 3, 3, 6, 9, 9, 18, 27, 27, 54, 81, 81, 162, 243, 243, 486, 729, 729, 1458, 2187, 2187, 4374, 6561, 6561, 13122, 19683, 19683, 39366, 59049, 59049, 118098, 177147, 177147, 354294, 531441, ...
MCS196832 (alias MCS787334) : A0 = 1; A1 = 2; A2 = 3; AN = 3 AN-3 (score: 5)
2, 3, 3, 7, 9, 10, 15, 18, 20, 26, 30, 33, 40, 45, 49, 57, 63, 68, 77, 84, 90, 100, 108, 115, 126, 135, 143, 155, 165, 174, 187, 198, 208, 222, 234, 245, 260, 273, 285, 301, 315, 328, 345, 360, ...
MCS6358061 : A0 = 0; A1 = 0; A2 = -1; AK+1 = AK-2 + K (score: 5)
2, 3, 3, 7, 9, 32, 47, 215, 344, 1888, 3225, 20424, 36812, 262287, 494944, 3897493, 7656817, 65762437, 133925213, 1241829486, 2612741823, 25944493993, 56238490620, 594110620016, ...
MCS393632 : A0 = 1; A1 = 2; A2 = 3; AK+1 = K AK-1 - AK-2 (score: 5)
2, 3, 3, 7, 10, 29, 51, 175, 358, 1401, 3223, 14011, 35454, 168133, 460903, 2353863, 6913546, 37661809, 117530283, 677912563, 2233075378, 13558251261, 46894582939, 298281527743, ...
MCS868386 : A0 = 2; A1 = 3; AK+1 = K AK-1 + 1 (score: 5)
2, 3, 3, 7, 12, 23, 37, 59, 86, 123, 167, 223, 288, 367, 457, 563, 682, 819, 971, 1143, 1332, 1543, 1773, 2027, 2302, 2603, 2927, 3279, 3656, 4063, 4497, 4963, 5458, 5987, 6547, 7143, 7772, 8439, ...
MCS854146 : A0 = 2; A1 = 3; AK+1 = AK-1 + K2 (score: 5)
2, 3, 3, 7, 13, 22, 29, 36, 42, 52, 64, 79, 92, 105, 117, 133, 151, 172, 191, 210, 228, 250, 274, 301, 326, 351, 375, 403, 433, 466, 497, 528, 558, 592, 628, 667, 704, 741, 777, 817, 859, 904, ...
MCS393824 : A0 = 1; A1 = 2; A2 = 3; AK+1 = - AK-2 + K2 (score: 5)
2, 3, 3, 8, 12, 36, 65, 222, 462, 1784, 4167, 17850, 45848, 214212, 596037, 2998982, 8940570, 47983728, 151989707, 863707122, 2887804452, 17274142460, 60643893513, 380031134142, ...
MCS856098 : A0 = 2; A1 = 3; AK+1 = K AK-1 + K (score: 5)
2, 3, 4, 0, 0, 0, 5, 6, 7, 3, 3, 3, 8, 9, 10, 6, 6, 6, 11, 12, 13, 9, 9, 9, 14, 15, 16, 12, 12, 12, 17, 18, 19, 15, 15, 15, 20, 21, 22, 18, 18, 18, 23, 24, 25, 21, 21, 21, 26, 27, 28, 24, 24, 24, ...
MCS1589634 : A0 = 2; A1 = 3; A2 = 4; AK+1 = - AK-2 + K (score: 5)
2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, 3, 4, 2, ...
MCS393474 : A0 = 2; A1 = 3; A2 = 4; AN = AN-3 (score: 4)
2, 3, 4, 3, 3, 3, 5, 6, 7, 6, 6, 6, 8, 9, 10, 9, 9, 9, 11, 12, 13, 12, 12, 12, 14, 15, 16, 15, 15, 15, 17, 18, 19, 18, 18, 18, 20, 21, 22, 21, 21, 21, 23, 24, 25, 24, 24, 24, 26, 27, 28, 27, 27, ...
MCS1589645 : A0 = 0; A1 = 0; A2 = 0; AK+1 = - AK-2 + K (score: 4)
2, 3, 4, 3, 4, 5, 4, 5, 6, 5, 6, 7, 6, 7, 8, 7, 8, 9, 8, 9, 10, 9, 10, 11, 10, 11, 12, 11, 12, 13, 12, 13, 14, 13, 14, 15, 14, 15, 16, 15, 16, 17, 16, 17, 18, 17, 18, 19, 18, 19, 20, 19, 20, 21, ...
MCS1638658 : A0 = 2; A1 = 3; A2 = 4; AN = AN-3 + 1 (score: 5)
2, 3, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 8, 9, 10, 10, 10, 10, 11, 12, 13, 13, 13, 13, 14, 15, 16, 16, 16, 16, 17, 18, 19, 19, 19, 19, 20, 21, 22, 22, 22, 22, 23, 24, 25, 25, 25, 25, 26, 27, 28, 28, ...
MCS6358582 (alias MCS837681, MCS26281526) : A0 = 1; A1 = 1; A2 = 1; AK+1 = - AK-2 + K (score: 4)
2, 3, 4, 4, 6, 8, 8, 12, 16, 16, 24, 32, 32, 48, 64, 64, 96, 128, 128, 192, 256, 256, 384, 512, 512, 768, 1024, 1024, 1536, 2048, 2048, 3072, 4096, 4096, 6144, 8192, 8192, 12288, 16384, 16384, ...
MCS787074 : A0 = 2; A1 = 3; A2 = 4; AN = 2 AN-3 (score: 5)
2, 3, 4, 4, 6, 8, 9, 12, 15, 17, 21, 25, 28, 33, 38, 42, 48, 54, 59, 66, 73, 79, 87, 95, 102, 111, 120, 128, 138, 148, 157, 168, 179, 189, 201, 213, 224, 237, 250, 262, 276, 290, 303, 318, 333, ...
MCS1589506 : A0 = 2; A1 = 3; A2 = 4; AK+1 = AK-2 + K (score: 5)
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, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, ...
MCS220 (alias MCS244, MCS884, MCS886, MCS1704, MCS1770, MCS1926, MCS3349, MCS3369, MCS6729, MCS7829, MCS7834, MCS24865, MCS25121, MCS30824, MCS31296, MCS61649, MCS62128, MCS62593, MCS125186, MCS431296, MCS436352, MCS505505, MCS862593, MCS872705, MCS1010370, MCS1607776, MCS1609824, MCS1725186, MCS1745410, MCS3447298, MCS3482816, MCS3483264)
AK = K (score: 1)
Natural numbers or positive integers (A000027)
Horadam sequence Wn(0, 1; -1, 2) ; Horadam sequence Wn(1, 2; -1, 2) ; Horadam sequence Wn(-1, 0; -1, 2) ; Horadam sequence Wn(2, 3; -1, 2)
2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616, 816, 1081, 1432, 1897, 2513, 3329, 4410, 5842, 7739, 10252, 13581, 17991, 23833, 31572, 41824, 55405, 73396, ...
MCS1581314 : A0 = 2; A1 = 3; A2 = 4; AN = AN-2 + AN-3 (score: 5)
2, 3, 4, 6, 8, 10, 13, 16, 19, 23, 27, 31, 36, 41, 46, 52, 58, 64, 71, 78, 85, 93, 101, 109, 118, 127, 136, 146, 156, 166, 177, 188, 199, 211, 223, 235, 248, 261, 274, 288, 302, 316, 331, 346, ...
MCS1589510 (alias MCS1642560, MCS26805302) : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-2 + K (score: 4)
2, 3, 4, 6, 8, 11, 14, 18, 22, 27, 32, 38, 44, 51, 58, 66, 74, 83, 92, 102, 112, 123, 134, 146, 158, 171, 184, 198, 212, 227, 242, 258, 274, 291, 308, 326, 344, 363, 382, 402, 422, 443, 464, 486, ...
MCS3478018 : A0 = 2; A1 = 3; AK+1 = AK-1 + K + 1 (score: 5)
2, 3, 4, 6, 8, 11, 15, 20, 27, 36, 48, 64, 85, 113, 150, 199, 264, 350, 464, 615, 815, 1080, 1431, 1896, 2512, 3328, 4409, 5841, 7738, 10251, 13580, 17990, 23832, 31571, 41823, 55404, 73395, ...
MCS820257 (alias MCS1640512, MCS1640513, MCS6562054, MCS6562061)
A0 = 0; A1 = 1; A2 = 1; AN = AN-2 + AN-3 + 1 (score: 5)
2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288, 16384, 24576, 32768, 49152, 65536, 98304, 131072, 196608, 262144, 393216, ...
MCS427266 : A0 = 2; A1 = 3; AN = 2 AN-2 (score: 4)
Horadam sequence Wn(2, 3; 2, 0)
2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425, 85626, 125491, 183916, 269542, 395033, 578949, 848491, ...
MCS200737 (alias MCS401472, MCS401473, MCS802945, MCS802949, MCS1605890, MCS1605894, MCS6423606, MCS25694422)
A0 = 0; A1 = 1; A2 = 1; AN = AN-1 + AN-3 (score: 4)
2, 3, 4, 6, 9, 14, 22, 35, 56, 90, 145, 234, 378, 611, 988, 1598, 2585, 4182, 6766, 10947, 17712, 28658, 46369, 75026, 121394, 196419, 317812, 514230, 832041, 1346270, 2178310, 3524579, 5702888, ...
MCS3514882 : A0 = 2; A1 = 3; AN = AN-1 + AN-2 - 1 (score: 5)
2, 3, 4, 7, 9, 11, 15, 18, 21, 26, 30, 34, 40, 45, 50, 57, 63, 69, 77, 84, 91, 100, 108, 116, 126, 135, 144, 155, 165, 175, 187, 198, 209, 222, 234, 246, 260, 273, 286, 301, 315, 329, 345, 360, ...
MCS1589517 : A0 = 0; A1 = 0; A2 = 0; AK+1 = AK-2 + K (score: 4)
2, 3, 4, 7, 10, 13, 20, 27, 34, 49, 64, 79, 110, 141, 172, 235, 298, 361, 488, 615, 742, 997, 1252, 1507, 2018, 2529, 3040, 4063, 5086, 6109, 8156, 10203, 12250, 16345, 20440, 24535, 32726, 40917, ...
MCS794784 : A0 = 1; A1 = 2; A2 = 3; AK+1 = 2 AK-2 + K (score: 5)
2, 3, 4, 7, 10, 15, 20, 27, 34, 43, 52, 63, 74, 87, 100, 115, 130, 147, 164, 183, 202, 223, 244, 267, 290, 315, 340, 367, 394, 423, 452, 483, 514, 547, 580, 615, 650, 687, 724, 763, 802, 843, 884, ...
MCS1714690 : A0 = 2; A1 = 3; AK+1 = AK-1 + 2 K (score: 5)
2, 3, 4, 7, 10, 15, 24, 35, 54, 83, 124, 191, 290, 439, 672, 1019, 1550, 2363, 3588, 5463, 8314, 12639, 19240, 29267, 44518, 67747, 103052, 156783, 238546, 362887, 552112, 839979, 1277886, ...
MCS790688 (alias MCS3162758) : A0 = 1; A1 = 2; A2 = 3; AN = AN-2 + 2 AN-3 (score: 5)
2, 3, 4, 9, 12, 15, 26, 33, 40, 63, 78, 93, 140, 171, 202, 297, 360, 423, 614, 741, 868, 1251, 1506, 1761, 2528, 3039, 3550, 5085, 6108, 7131, 10202, 12249, 14296, 20439, 24534, 28629, 40916, ...
MCS3179149 : A0 = 0; A1 = 0; A2 = 0; AK+1 = 2 AK-2 + K (score: 5)
2, 3, 4, 9, 16, 45, 96, 315, 768, 2835, 7680, 31185, 92160, 405405, 1290240, 6081075, 20643840, 103378275, 371589120, 1964187225, 7431782400, 41247931725, 163499212800, 948702429675, ...
MCS854050 : A0 = 2; A1 = 3; AK+1 = K AK-1 + AK-1 (score: 5)
2, 3, 4, 12, 24, 96, 240, 1152, 3360, 18432, 60480, 368640, 1330560, 8847360, 34594560, 247726080, 1037836800, 7927234560, 35286451200, 285380444160, ...
MCS426066 : A0 = 2; A1 = 3; AK+1 = 2 K AK-1 (score: 5)
2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, 3, 5, 2, ...
MCS1573922 : A0 = 2; A1 = 3; A2 = 5; AN = AN-3 (score: 5)
2, 3, 5, 3, 3, 2, 5, 6, 8, 6, 6, 5, 8, 9, 11, 9, 9, 8, 11, 12, 14, 12, 12, 11, 14, 15, 17, 15, 15, 14, 17, 18, 20, 18, 18, 17, 20, 21, 23, 21, 21, 20, 23, 24, 26, 24, 24, 23, 26, 27, 29, 27, 27, ...
MCS6358573 : A0 = 0; A1 = 0; A2 = -1; AK+1 = - AK-2 + K (score: 5)
2, 3, 5, 6, 7, 7, 8, 9, 11, 12, 13, 13, 14, 15, 17, 18, 19, 19, 20, 21, 23, 24, 25, 25, 26, 27, 29, 30, 31, 31, 32, 33, 35, 36, 37, 37, 38, 39, 41, 42, 43, 43, 44, 45, 47, 48, 49, 49, 50, 51, 53, ...
MCS3187078 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-2 + 2 K (score: 5)
2, 3, 5, 7, 9, 12, 15, 18, 22, 26, 30, 35, 40, 45, 51, 57, 63, 70, 77, 84, 92, 100, 108, 117, 126, 135, 145, 155, 165, 176, 187, 198, 210, 222, 234, 247, 260, 273, 287, 301, 315, 330, 345, 360, ...
MCS397377 (alias MCS12832, MCS6701325) : A0 = 0; A1 = 0; A2 = 1; AK+1 = AK-2 + K (score: 4)
floor(N(N-1)/6) (A001840)
2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82, 91, 101, 111, 122, 133, 145, 157, 170, 183, 197, 211, 226, 241, 257, 273, 290, 307, 325, 343, 362, 381, 401, 421, 442, 463, 485, ...
MCS856582 (alias MCS869504, MCS3510790) : A0 = 1; A1 = 1; AK+1 = AK-1 + K (score: 3)
1 + floor(N2/4) (A033638)
2, 3, 5, 7, 11, 15, 23, 31, 47, 63, 95, 127, 191, 255, 383, 511, 767, 1023, 1535, 2047, 3071, 4095, 6143, 8191, 12287, 16383, 24575, 32767, 49151, 65535, 98303, 131071, 196607, 262143, 393215, ...
MCS434496 (alias MCS1737986) : A0 = 1; A1 = 2; AN = 2 AN-2 + 1 (score: 4)
2, 3, 5, 8, 11, 13, 14, 15, 17, 20, 23, 25, 26, 27, 29, 32, 35, 37, 38, 39, 41, 44, 47, 49, 50, 51, 53, 56, 59, 61, 62, 63, 65, 68, 71, 73, 74, 75, 77, 80, 83, 85, 86, 87, 89, 92, 95, 97, 98, 99, ...
MCS1723072 : A0 = 1; A1 = 2; AK+1 = AK - AK-1 + 2 K (score: 5)
2, 3, 5, 8, 11, 15, 20, 25, 31, 38, 45, 53, 62, 71, 81, 92, 103, 115, 128, 141, 155, 170, 185, 201, 218, 235, 253, 272, 291, 311, 332, 353, 375, 398, 421, 445, 470, 495, 521, 548, 575, 603, 632, ...
MCS796736 : A0 = 1; A1 = 2; A2 = 3; AK+1 = AK-2 + 2 K (score: 5)
2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93, 107, 122, 138, 155, 173, 192, 212, 233, 255, 278, 302, 327, 353, 380, 408, 437, 467, 498, 530, 563, 597, 632, 668, 705, 743, 782, 822, 863, 905, ...
MCS500866 : A0 = 2; AK+1 = AK + K + 1 (score: 4)
2, 3, 5, 8, 12, 18, 26, 37, 52, 72, 99, 135, 183, 247, 332, 445, 595, 794, 1058, 1408, 1872, 2487, 3302, 4382, 5813, 7709, 10221, 13549, 17958, 23799, 31537, 41788, 55368, 73358, 97190, 128761, ...
MCS1591360 : A0 = 1; A1 = 2; A2 = 3; AK+1 = AK-1 + AK-2 + K (score: 5)
2, 3, 5, 8, 12, 18, 27, 40, 59, 87, 128, 188, 276, 405, 594, 871, 1277, 1872, 2744, 4022, 5895, 8640, 12663, 18559, 27200, 39864, 58424, 85625, 125490, 183915, 269541, 395032, 578948, 848490, ...
MCS12864 (alias MCS1646656, MCS1646657, MCS6586637)
A0 = 0; A1 = 1; A2 = 2; AN = AN-1 + AN-3 + 1 (score: 5)
2, 3, 5, 8, 13, 20, 31, 46, 69, 100, 147, 210, 305, 432, 623, 878, 1261, 1772, 2539, 3562, 5097, 7144, 10215, 14310, 20453, 28644, 40931, 57314, 81889, 114656, 163807, 229342, 327645, 458716, ...
MCS1713410 : A0 = 2; A1 = 3; AK+1 = 2 AK-1 + K (score: 5)
2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, ...
MCS840 (alias MCS215168, MCS395809, MCS403505, MCS791616, MCS807008, MCS860674, MCS860678, MCS1721353, MCS3166470, MCS3228038, MCS3442710)
A0 = 0; A1 = 1; AN = AN-1 + AN-2 (score: 3)
Fibonacci numbers (A000045)
Horadam sequence Wn(0, 1; 1, 1) ; Horadam sequence Wn(1, 1; 1, 1) ; Horadam sequence Wn(1, 2; 1, 1) ; Horadam sequence Wn(1, 0; 1, 1) ; Horadam sequence Wn(2, 3; 1, 1) ; Horadam sequence Wn(-1, 1; 1, 1)
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