Minimally Complex Sequences  


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2, 4, 6, 9, 12, 16, 20, 25, 30, 36, 42, 49, 56, 64, 72, 81, 90, 100, 110, 121, 132, 144, 156, 169, 182, 196, 210, 225, 240, 256, 272, 289, 306, 324, 342, 361, 380, 400, 420, 441, 462, 484, 506, ...

MCS214145 (alias MCS3396, MCS877697, MCS1746048)

A0 = 0; A1 = 0; AK+1 = AK-1 + K (score: 3)

Squares and Semisquares: floor(N2/4) (A2620)

2, 4, 6, 9, 14, 21, 31, 46, 68, 100, 147, 216, 317, 465, 682, 1000, 1466, 2149, 3150, 4617, 6767, 9918, 14536, 21304, 31223, 45760, 67065, 98289, 144050, 211116, 309406, 453457, 664574, 973981, ...

MCS823329 (alias MCS6586630) : A0 = 0; A1 = 1; A2 = 1; AN = AN-1 + AN-3 + 1 (score: 5)

2, 4, 6, 10, 14, 22, 30, 46, 62, 94, 126, 190, 254, 382, 510, 766, 1022, 1534, 2046, 3070, 4094, 6142, 8190, 12286, 16382, 24574, 32766, 49150, 65534, 98302, 131070, 196606, 262142, 393214, ...

MCS6818 (alias MCS872768) : A0 = 0; A1 = 1; AN = 2 AN-2 + 2 (score: 5)

2, 4, 6, 10, 15, 22, 32, 45, 63, 87, 119, 162, 219, 295, 396, 530, 708, 944, 1257, 1672, 2222, 2951, 3917, 5197, 6893, 9140, 12117, 16061, 21286, 28208, 37378, 49526, 65619, 86938, 115180, 152593, ...

MCS6365446 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-1 + AK-2 + K (score: 5)

2, 4, 6, 10, 16, 26, 42, 68, 110, 178, 288, 466, 754, 1220, 1974, 3194, 5168, 8362, 13530, 21892, 35422, 57314, 92736, 150050, 242786, 392836, 635622, 1028458, 1664080, 2692538, 4356618, 7049156, ...

MCS3442706 : A0 = 2; A1 = 4; AN = AN-1 + AN-2 (score: 5)

Horadam sequence Wn(2, 4; 1, 1)

2, 4, 6, 10, 18, 30, 50, 86, 146, 246, 418, 710, 1202, 2038, 3458, 5862, 9938, 16854, 28578, 48454, 82162, 139318, 236226, 400550, 679186, 1151638, 1952738, 3311110, 5614386, 9519862, 16142082, ...

MCS3211910 : A0 = 1; A1 = 1; A2 = 2; AN = AN-1 + 2 AN-3 (score: 5)

2, 4, 7, 10, 11, 6, -13, -62, -173, -410, -901, -1902, -3925, -7994, -16157, -32510, -65245, -130746, -261781, -523886, -1048133, -2096666, -4193773, -8388030, -16776589, -33553754, -67108133, ...

MCS248370 : A0 = 2; AK+1 = 2 AK - K2 (score: 5)

2, 4, 7, 10, 12, 12, 10, 7, 5, 6, 11, 19, 27, 31, 28, 18, 5, -4, -2, 14, 40, 65, 75, 60, 21, -27, -59, -51, 6, 96, 179, 206, 144, 0, -170, -277, -239, -30, 287, 567, 639, 395, -128, -722, -1071, ...

MCS25757238 : A0 = 1; A1 = 1; A2 = 1; AK+1 = AK - AK-2 + K (score: 5)

2, 4, 7, 10, 14, 19, 24, 30, 37, 44, 52, 61, 70, 80, 91, 102, 114, 127, 140, 154, 169, 184, 200, 217, 234, 252, 271, 290, 310, 331, 352, 374, 397, 420, 444, 469, 494, 520, 547, 574, 602, 631, 660, ...

MCS6224 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-2 + 2 K (score: 5)

2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172, 191, 211, 232, 254, 277, 301, 326, 352, 379, 407, 436, 466, 497, 529, 562, 596, 631, 667, 704, 742, 781, 821, 862, 904, ...

MCS31008 (alias MCS125216, MCS251272, MCS1004674, MCS1739392, MCS1742016, MCS6968070, MCS7023110)

A0 = 1; AK+1 = AK + K (score: 2)

Slicing a Pancake, or Central Polygonal numbers (A0124)

2, 4, 7, 11, 17, 25, 36, 51, 71, 98, 134, 182, 246, 331, 444, 594, 793, 1057, 1407, 1871, 2486, 3301, 4381, 5812, 7708, 10220, 13548, 17957, 23798, 31536, 41787, 55367, 73357, 97189, 128760, ...

MCS1591361 : A0 = 0; A1 = 0; A2 = 1; AK+1 = AK-1 + AK-2 + K (score: 5)

2, 4, 7, 12, 18, 24, 31, 40, 50, 60, 71, 84, 98, 112, 127, 144, 162, 180, 199, 220, 242, 264, 287, 312, 338, 364, 391, 420, 450, 480, 511, 544, 578, 612, 647, 684, 722, 760, 799, 840, 882, 924, ...

MCS427585 : A0 = -1; A1 = 0; AK+1 = - AK-1 + K2 (score: 5)

2, 4, 7, 12, 19, 30, 45, 68, 99, 146, 209, 304, 431, 622, 877, 1260, 1771, 2538, 3561, 5096, 7143, 10214, 14309, 20452, 28643, 40930, 57313, 81888, 114655, 163806, 229341, 327644, 458715, 655322, ...

MCS1739072 : A0 = 1; A1 = 2; AK+1 = 2 AK-1 + K + 1 (score: 5)

2, 4, 7, 12, 20, 33, 54, 88, 143, 232, 376, 609, 986, 1596, 2583, 4180, 6764, 10945, 17710, 28656, 46367, 75024, 121392, 196417, 317810, 514228, 832039, 1346268, 2178308, 3524577, 5702886, ...

MCS3400 (alias MCS12609, MCS807009, MCS870528, MCS870529, MCS1741057, MCS3482117)

A0 = 0; A1 = 1; AN = AN-1 + AN-2 + 1 (score: 4)

2, 4, 7, 12, 21, 38, 71, 136, 265, 522, 1035, 2060, 4109, 8206, 16399, 32784, 65553, 131090, 262163, 524308, 1048597, 2097174, 4194327, 8388632, 16777241, 33554458, 67108891, 134217756, 268435485, ...

MCS248514 : A0 = 2; AK+1 = 2 AK - K (score: 4)

2, 4, 7, 13, 22, 40, 67, 121, 202, 364, 607, 1093, 1822, 3280, 5467, 9841, 16402, 29524, 49207, 88573, 147622, 265720, 442867, 797161, 1328602, 2391484, 3985807, 7174453, 11957422, 21523360, ...

MCS434624 : A0 = 1; A1 = 2; AN = 3 AN-2 + 1 (score: 5)

2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415, 223317, 410744, 755476, 1389537, 2555757, 4700770, 8646064, 15902591, 29249425, 53798080, ...

MCS803873 (alias MCS1607745, MCS6430982) : A0 = 0; A1 = 1; A2 = 1; AN = AN-1 + AN-2 + AN-3 (score: 5)

2, 4, 8, 12, 18, 24, 32, 40, 50, 60, 72, 84, 98, 112, 128, 144, 162, 180, 200, 220, 242, 264, 288, 312, 338, 364, 392, 420, 450, 480, 512, 544, 578, 612, 648, 684, 722, 760, 800, 840, 882, 924, ...

MCS7784 (alias MCS7788, MCS428673) : A0 = 0; AK+1 = - AK + K2 + K (score: 4)

Floor(N2/2) (A7590)

2, 4, 8, 13, 18, 24, 32, 41, 50, 60, 72, 85, 98, 112, 128, 145, 162, 180, 200, 221, 242, 264, 288, 313, 338, 364, 392, 421, 450, 480, 512, 545, 578, 612, 648, 685, 722, 760, 800, 841, 882, 924, ...

MCS13580 : A0 = 0; A1 = 1; AK+1 = - AK-1 + K2 + 1 (score: 5)

2, 4, 8, 13, 20, 28, 38, 49, 62, 76, 92, 109, 128, 148, 170, 193, 218, 244, 272, 301, 332, 364, 398, 433, 470, 508, 548, 589, 632, 676, 722, 769, 818, 868, 920, 973, 1028, 1084, 1142, 1201, 1262, ...

MCS429696 : A0 = 1; A1 = 2; AK+1 = AK-1 + 3 K (score: 5)

2, 4, 8, 14, 21, 28, 35, 43, 53, 65, 78, 91, 104, 118, 134, 152, 171, 190, 209, 229, 251, 275, 300, 325, 350, 376, 404, 434, 465, 496, 527, 559, 593, 629, 666, 703, 740, 778, 818, 860, 903, 946, ...

MCS6153 : A0 = 0; A1 = 1; A2 = 2; AK+1 = - AK-2 + K2 (score: 5)

2, 4, 8, 14, 22, 32, 44, 58, 74, 92, 112, 134, 158, 184, 212, 242, 274, 308, 344, 382, 422, 464, 508, 554, 602, 652, 704, 758, 814, 872, 932, 994, 1058, 1124, 1192, 1262, 1334, 1408, 1484, 1562, ...

MCS14164 : AK = K2 + K + 2 (score: 5)

2, 4, 8, 14, 23, 37, 58, 89, 135, 203, 303, 450, 666, 983, 1448, 2130, 3130, 4596, 6745, 9895, 14512, 21279, 31197, 45733, 67037, 98260, 144020, 211085, 309374, 453424, 664540, 973946, 1427403, ...

MCS12576 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK + AK-2 + K (score: 5)

2, 4, 8, 14, 24, 38, 60, 90, 136, 198, 292, 418, 608, 862, 1244, 1754, 2520, 3542, 5076, 7122, 10192, 14286, 20428, 28618, 40904, 57286, 81860, 114626, 163776, 229310, 327612, 458682, 655288, ...

MCS857408 : A0 = 1; A1 = 2; AK+1 = 2 AK-1 + 2 K (score: 5)

2, 4, 8, 14, 24, 40, 66, 108, 176, 286, 464, 752, 1218, 1972, 3192, 5166, 8360, 13528, 21890, 35420, 57312, 92734, 150048, 242784, 392834, 635620, 1028456, 1664078, 2692536, 4356616, 7049154, ...

MCS1747073 : A0 = 0; A1 = 0; AN = AN-1 + AN-2 + 2 (score: 5)

2, 4, 8, 15, 26, 42, 64, 93, 130, 176, 232, 299, 378, 470, 576, 697, 834, 988, 1160, 1351, 1562, 1794, 2048, 2325, 2626, 2952, 3304, 3683, 4090, 4526, 4992, 5489, 6018, 6580, 7176, 7807, 8474, ...

MCS1725632 : A0 = 1; A1 = 2; AK+1 = 2 AK - AK-1 + K (score: 5)

2, 4, 8, 15, 27, 47, 80, 134, 222, 365, 597, 973, 1582, 2568, 4164, 6747, 10927, 17691, 28636, 46346, 75002, 121369, 196393, 317785, 514202, 832012, 1346240, 2178279, 3524547, 5702855, 9227432, ...

MCS861312 (alias MCS14062086) : A0 = 1; A1 = 2; AK+1 = AK + AK-1 + K (score: 4)

2, 4, 8, 15, 28, 50, 90, 157, 278, 480, 844, 1451, 2544, 4366, 7646, 13113, 22954, 39356, 68880, 118087, 206660, 354282, 620002, 1062869, 1860030, 3188632, 5580116, 9565923, 16740376, 28697798, ...

MCS428480 : A0 = 1; A1 = 2; AK+1 = 3 AK-1 + K (score: 5)

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, ...

MCS15520 (alias MCS62082, MCS427456, MCS430400)

A0 = 1; AN = 2 AN-1 (score: 2)

Powers of 2 (A0079)

Horadam sequence Wn(1, 2; 2, 1) ; Horadam sequence Wn(1, 2; 4, 0)

2, 4, 8, 17, 38, 88, 208, 497, 1194, 2876, 6936, 16737, 40398, 97520, 235424, 568353, 1372114, 3312564, 7997224, 19306993, 46611190, 112529352, 271669872, 655869073, 1583407994, 3822685036, ...

MCS1726080 : A0 = 1; A1 = 2; AK+1 = 2 AK + AK-1 - K (score: 5)

2, 4, 8, 18, 42, 110, 296, 882, 2666, 8822, 29328, 105866, 381266, 1482126, 5718992, 23714018, 97222866, 426852326, 1847234456, 8537046522, 38791923578, 187815023486, 892214242296, ...

MCS27264 : A0 = 0; A1 = 1; AK+1 = K AK-1 + 2 (score: 5)

2, 4, 9, 17, 31, 54, 92, 154, 255, 419, 685, 1116, 1814, 2944, 4773, 7733, 12523, 20274, 32816, 53110, 85947, 139079, 225049, 364152, 589226, 953404, 1542657, 2496089, 4038775, 6534894, 10573700, ...

MCS13781014 : A0 = 1; A1 = 0; AK+1 = AK + AK-1 + K (score: 5)

2, 4, 9, 19, 36, 62, 99, 149, 214, 296, 397, 519, 664, 834, 1031, 1257, 1514, 1804, 2129, 2491, 2892, 3334, 3819, 4349, 4926, 5552, 6229, 6959, 7744, 8586, 9487, 10449, 11474, 12564, 13721, 14947, ...

MCS125192 : A0 = 1; AK+1 = AK + K2 + 1 (score: 4)

2, 4, 9, 20, 43, 90, 185, 376, 759, 1526, 3061, 6132, 12275, 24562, 49137, 98288, 196591, 393198, 786413, 1572844, 3145707, 6291434, 12582889, 25165800, 50331623, 100663270, 201326565, 402653156, ...

MCS248450 : A0 = 2; AK+1 = 2 AK + K (score: 4)

2, 4, 9, 20, 44, 97, 214, 472, 1041, 2296, 5064, 11169, 24634, 54332, 119833, 264300, 582932, 1285697, 2835694, 6254320, 13794337, 30424368, 67103056, 148000449, 326425266, 719953588, 1587907625, ...

MCS6304 (alias MCS806977) : A0 = 0; A1 = 1; A2 = 2; AN = 2 AN-1 + AN-3 (score: 5)

2, 4, 9, 20, 50, 126, 357, 1016, 3222, 10170, 35453, 122052, 460902, 1708742, 6913545, 27339888, 117530282, 492118002, 2233075377, 9842360060, 46894582938, 216531921342, ...

MCS856102 : A0 = 1; A1 = 1; AK+1 = K AK-1 + K (score: 4)

2, 4, 9, 21, 50, 120, 289, 697, 1682, 4060, 9801, 23661, 57122, 137904, 332929, 803761, 1940450, 4684660, 11309769, 27304197, 65918162, 159140520, 384199201, 927538921, 2239277042, 5406093004, ...

MCS6868 (alias MCS1758336, MCS7033350) : A0 = 0; A1 = 1; AN = 2 AN-1 + AN-2 - 1 (score: 5)

2, 4, 9, 22, 53, 122, 269, 574, 1197, 2458, 4997, 10094, 20309, 40762, 81693, 163582, 327389, 655034, 1310357, 2621038, 5242437, 10485274, 20970989, 41942462, 83885453, 167771482, 335543589, ...

MCS248354 : A0 = 2; AK+1 = 2 AK + K2 (score: 5)

2, 4, 9, 22, 58, 163, 486, 1525, 5023, 17261, 61801, 229416, 882475, 3503041, 14349016, 60434172, 261785329, 1162598284, 5296140752, 24676349293, 117677694828, 572852174491, ...

MCS196753 : A0 = 0; A1 = 1; A2 = 1; AK+1 = K AK-1 + AK-2 (score: 5)

2, 4, 9, 22, 59, 170, 525, 1716, 5917, 21362, 80533, 315516, 1281913, 5383622, 23330405, 104084736, 477371217, 2246811730, 10839493637, 53528916508, 270318789249, ...

MCS870408 : A0 = 1; A1 = 2; AK+1 = AK + K AK-1 + 1 (score: 5)

2, 4, 9, 23, 64, 186, 551, 1645, 4926, 14768, 44293, 132867, 398588, 1195750, 3587235, 10761689, 32285050, 96855132, 290565377, 871696111, 2615088312, 7845264914, 23535794719, 70607384133, ...

MCS252848 : A0 = 1; AK+1 = 3 AK - K - 1 (score: 5)

2, 4, -1, -1, 0, -6, -7, -7, -14, -16, -17, -25, -28, -30, -39, -43, -46, -56, -61, -65, -76, -82, -87, -99, -106, -112, -125, -133, -140, -154, -163, -171, -186, -196, -205, -221, -232, -242, ...

MCS1597704 : A0 = 1; A1 = 2; A2 = 4; AK+1 = AK-2 - K (score: 5)

2, 4, -1, -2, 4, 6, 1, 0, 6, 8, 3, 2, 8, 10, 5, 4, 10, 12, 7, 6, 12, 14, 9, 8, 14, 16, 11, 10, 16, 18, 13, 12, 18, 20, 15, 14, 20, 22, 17, 16, 22, 24, 19, 18, 24, 26, 21, 20, 26, 28, 23, 22, 28, ...

MCS3427346 : A0 = 2; A1 = 4; AK+1 = - AK-1 + K (score: 5)

2, 4, -1, -2, 5, 1, -7, 4, 8, -11, -4, 19, -7, -23, 26, 16, -49, 10, 65, -59, -55, 124, -4, -179, 128, 175, -307, -47, 482, -260, -529, 742, 269, -1271, 473, 1540, -1744, -1067, 3284, -677, -4351, ...

MCS1585416 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-2 + AN-3 (score: 5)

2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, -1, -2, -4, 1, 2, 4, ...

MCS393608 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-3 (score: 4)

2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, 2, 4, -1, -3, ...

MCS3476498 : A0 = 2; A1 = 4; AN = - AN-2 + 1 (score: 5)

2, 4, -2, 6, -8, 14, -22, 36, -58, 94, -152, 246, -398, 644, -1042, 1686, -2728, 4414, -7142, 11556, -18698, 30254, -48952, 79206, -128158, 207364, -335522, 542886, -878408, 1421294, -2299702, ...

MCS3459090 : A0 = 2; A1 = 4; AN = - AN-1 + AN-2 (score: 5)

Horadam sequence Wn(2, 4; 1, -1)

2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, -2, -3, -5, 1, 2, 4, ...

MCS1671560 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-3 - 1 (score: 5)

2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, 2, 4, -2, -4, ...

MCS855058 : A0 = 2; A1 = 4; AN = - AN-2 (score: 4)

Horadam sequence Wn(2, 4; -1, 0)

2, 4, -2, -4, -8, 4, 8, 16, -8, -16, -32, 16, 32, 64, -32, -64, -128, 64, 128, 256, -128, -256, -512, 256, 512, 1024, -512, -1024, -2048, 1024, 2048, 4096, -2048, -4096, -8192, 4096, 8192, 16384, ...

MCS1574280 : A0 = 1; A1 = 2; A2 = 4; AN = - 2 AN-3 (score: 5)

2, 4, -2, -8, 6, 32, -30, -192, 210, 1536, -1890, -15360, 20790, 184320, -270270, -2580480, 4054050, 41287680, -68918850, -743178240, 1309458150, 14863564800, -27498621150, -326998425600, ...

MCS852178 : A0 = 2; A1 = 4; AK+1 = - K AK-1 (score: 5)

2, 4, -3, 5, -1, -2, 7, -8, 6, 1, -9, 15, -14, 5, 10, -24, 29, -19, -5, 34, -53, 48, -14, -39, 87, -101, 62, 25, -126, 188, -163, 37, 151, -314, 351, -200, -114, 465, -665, 551, -86, -579, 1130, ...

MCS1622280 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-1 + AN-3 (score: 5)

2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, 2, 4, -3, -5, ...

MCS3509266 : A0 = 2; A1 = 4; AN = - AN-2 - 1 (score: 5)

2, 4, -3, -5, -8, -2, -1, 1, -6, -8, -11, -5, -4, -2, -9, -11, -14, -8, -7, -5, -12, -14, -17, -11, -10, -8, -15, -17, -20, -14, -13, -11, -18, -20, -23, -17, -16, -14, -21, -23, -26, -20, -19, ...

MCS1597832 : A0 = 1; A1 = 2; A2 = 4; AK+1 = - AK-2 - K (score: 5)

2, 4, -3, -6, 0, 2, -5, -8, -2, 0, -7, -10, -4, -2, -9, -12, -6, -4, -11, -14, -8, -6, -13, -16, -10, -8, -15, -18, -12, -10, -17, -20, -14, -12, -19, -22, -16, -14, -21, -24, -18, -16, -23, -26, ...

MCS3435538 : A0 = 2; A1 = 4; AK+1 = - AK-1 - K (score: 5)

2, 4, -3, -6, -1, 9, 7, -8, -16, 1, 24, 15, -25, -39, 10, 64, 29, -74, -93, 45, 167, 48, -212, -215, 164, 427, 51, -591, -478, 540, 1069, -62, -1609, -1007, 1671, 2616, -664, -4287, -1952, 4951, ...

MCS1585544 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-2 - AN-3 (score: 5)

2, 4, -3, -12, 20, 78, -133, -616, 1206, 6170, -13255, -74028, 172328, 1036406, -2584905, -16582480, 43943402, 298484658, -834924619, -5969693140, 17533417020, 131333249102, -403268591437, ...

MCS1712237 : A0 = -1; A1 = -1; AK+1 = - K AK-1 + K (score: 5)

2, 4, -4, -8, 8, 16, -16, -32, 32, 64, -64, -128, 128, 256, -256, -512, 512, 1024, -1024, -2048, 2048, 4096, -4096, -8192, 8192, 16384, -16384, -32768, 32768, 65536, -65536, -131072, 131072, ...

MCS3419154 (alias MCS6838317) : A0 = 2; A1 = 4; AN = - 2 AN-2 (score: 5)

Horadam sequence Wn(-1, -2; -2, 0) ; Horadam sequence Wn(2, 4; -2, 0)

2, 4, -5, 3, -7, 12, -15, 22, -34, 49, -71, 105, -154, 225, -330, 484, -709, 1039, -1523, 2232, -3271, 4794, -7026, 10297, -15091, 22117, -32414, 47505, -69622, 102036, -149541, 219163, -321199, ...

MCS1622408 : A0 = 1; A1 = 2; A2 = 4; AN = - AN-1 - AN-3 (score: 5)

2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, -6, 2, 4, ...

MCS3460114 : A0 = 2; A1 = 4; AN = - AN-1 - AN-2 (score: 5)

Horadam sequence Wn(2, 4; -1, -1)

2, 4, 10, 12, 26, 20, 58, 12, 138, -76, 394, -500, 1338, -2284, 5018, -9524, 19626, -38604, 77930, -155060, 311002, -621036, 1243130, -2485108, 4971466, -9941580, 19884618, -39767668, 79537018, ...

MCS31074 : A0 = 0; AK+1 = - 2 AK + 2 K2 (score: 5)

2, 4, 10, 16, 30, 44, 74, 104, 166, 228, 354, 480, 734, 988, 1498, 2008, 3030, 4052, 6098, 8144, 12238, 16332, 24522, 32712, 49094, 65476, 98242, 131008, 196542, 262076, 393146, 524216, 786358, ...

MCS857409 : A0 = 0; A1 = 0; AK+1 = 2 AK-1 + 2 K (score: 5)

2, 4, 10, 18, 29, 46, 67, 93, 127, 167, 214, 271, 336, 410, 496, 592, 699, 820, 953, 1099, 1261, 1437, 1628, 1837, 2062, 2304, 2566, 2846, 3145, 3466, 3807, 4169, 4555, 4963, 5394, 5851, 6332, ...

MCS3076 : A0 = 0; A1 = 1; A2 = 2; AK+1 = AK-2 + K2 (score: 5)

2, 4, 10, 20, 34, 52, 74, 100, 130, 164, 202, 244, 290, 340, 394, 452, 514, 580, 650, 724, 802, 884, 970, 1060, 1154, 1252, 1354, 1460, 1570, 1684, 1802, 1924, 2050, 2180, 2314, 2452, 2594, 2740, ...

MCS14162 : AK = 2 K2 + 2 (score: 5)

2, 4, 10, 23, 49, 97, 182, 328, 574, 983, 1657, 2761, 4562, 7492, 12250, 19967, 32473, 52729, 85526, 138616, 224542, 363599, 588625, 952753, 1541954, 2495332, 4037962, 6534023, 10572769, 17107633, ...

MCS860704 : A0 = 1; A1 = 2; AK+1 = AK + AK-1 + K2 (score: 5)

2, 4, 10, 24, 54, 116, 242, 496, 1006, 2028, 4074, 8168, 16358, 32740, 65506, 131040, 262110, 524252, 1048538, 2097112, 4194262, 8388564, 16777170, 33554384, 67108814, 134217676, 268435402, ...

MCS496962 : A0 = 2; AK+1 = 2 AK + 2 K (score: 5)

2, 4, 10, 24, 58, 140, 338, 816, 1970, 4756, 11482, 27720, 66922, 161564, 390050, 941664, 2273378, 5488420, 13250218, 31988856, 77227930, 186444716, 450117362, 1086679440, 2623476242, 6333631924, ...

MCS215616 : A0 = 0; A1 = 2; AN = 2 AN-1 + AN-2 (score: 5)

Horadam sequence Wn(0, 2; 1, 2)

2, 4, 10, 25, 69, 199, 619, 2019, 6979, 25159, 94959, 371719, 1511239, 6343599, 27500959, 122654959, 562670319, 2647804639, 12775870399, 63084158559, 318601566559, ...

MCS861192 : A0 = 1; A1 = 2; AK+1 = AK + K AK-1 + K (score: 5)

2, 4, 10, 26, 64, 148, 326, 694, 1444, 2960, 6010, 12130, 24392, 48940, 98062, 196334, 392908, 786088, 1572482, 3145306, 6290992, 12582404, 25165270, 50331046, 100662644, 201325888, 402652426, ...

MCS248520 : A0 = 1; AK+1 = 2 AK + K2 - K (score: 5)

2, 4, 10, 26, 76, 232, 764, 2620, 9496, 35696, 140152, 568504, 2390480, 10349536, 46206736, 211799312, 997313824, 4809701440, 23758664096, 119952692896, 618884638912, ...

MCS860198 (alias MCS53808, MCS3443750) : A0 = 1; A1 = 1; AK+1 = AK + K AK-1 (score: 4)

2, 4, 10, 26, 76, 232, 764, 2620, 9496, 35696, 140152, 568504, 2390480, 10349536, 46206736, 211799312, 997313824, 4809701440, 23758664096, 119952692896, 618884638912, ...

MCS860680 : A0 = 1; A1 = 2; AK+1 = AK + K AK-1 + AK-1 (score: 5)

2, 4, 10, 32, 130, 652, 3914, 27400, 219202, 1972820, 19728202, 217010224, 2604122690, 33853594972, 473950329610, ...

MCS251280 : A0 = 1; AK+1 = K AK - AK + 2 (score: 5)

2, 4, 10, 32, 130, 652, 3914, 27400, 219202, 1972820, 19728202, 217010224, 2604122690, 33853594972, 473950329610, ...

MCS1960 (alias MCS62736, MCS125473) : A0 = 0; AK+1 = K AK + 2 (score: 4)

2, 4, 11, 17, 28, 38, 53, 67, 86, 104, 127, 149, 176, 202, 233, 263, 298, 332, 371, 409, 452, 494, 541, 587, 638, 688, 743, 797, 856, 914, 977, 1039, 1106, 1172, 1243, 1313, 1388, 1462, 1541, ...

MCS249236 : A0 = 1; AK+1 = - AK + 2 K2 - K (score: 5)

2, 4, 11, 20, 36, 56, 85, 120, 166, 220, 287, 364, 456, 560, 681, 816, 970, 1140, 1331, 1540, 1772, 2024, 2301, 2600, 2926, 3276, 3655, 4060, 4496, 4960, 5457, 5984, 6546, 7140, 7771, 8436, 9140, ...

MCS3416598 : A0 = 1; A1 = 0; AK+1 = AK-1 + K2 (score: 5)

2, 4, 11, 30, 95, 304, 1063, 3798, 14427, 56204, 229327, 959978, 4170555, 18570224, 85299103, 400992910, 1936376763, 9555242052, 48282777311, 248942860402, ...

MCS3514406 : A0 = 1; A1 = 1; AK+1 = AK + K AK-1 - 1 (score: 5)

2, 4, 11, 38, 164, 859, 5319, 38093, 310064, 2828670, 28596765, 317393086, 3837313798, 50202472461, 706671928253, ...

MCS868928 : A0 = 1; A1 = 2; AK+1 = K AK + AK-1 + 1 (score: 5)

2, 4, 11, 41, 195, 1130, 7716, 60599, 537676, 5316162, 57940107, 689965123, 8911606493, 124072525780, ...

MCS6790 : A0 = 0; A1 = 1; AK+1 = K AK - AK-1 + 1 (score: 5)

2, 4, 11, 42, 206, 1225, 8533, 68058, 611297, 6104437, 67080749, 804357691, 10450545546, 146240556895, ...

MCS6161 : A0 = 0; A1 = 1; A2 = 2; AK+1 = K AK - AK-2 (score: 5)

2, 4, 11, 42, 207, 1238, 8661, 69282, 623531, 6235302, 68588313, 823059746, 10699776687, 149796873606, ...

MCS500944 : A0 = 1; AK+1 = K AK + AK - K + 1 (score: 5)

2, 4, 12, 24, 70, 156, 504, 1264, 4554, 12660, 50116, 151944, 651534, 2127244, 9773040, 34035936, 166141714, 612646884, 3156692604, 12252937720, 66290544726, 269564629884, ...

MCS428553 : A0 = 0; A1 = 0; AK+1 = K AK-1 + 2 K (score: 5)

2, 4, 12, 32, 120, 384, 1680, 6144, 30240, 122880, 665280, 2949120, 17297280, 82575360, 518918400, 2642411520, 17643225600, 95126814720, 670442572800, ...

MCS426070 : A0 = 1; A1 = 1; AK+1 = 2 K AK-1 (score: 4)

2, 4, 12, 36, 132, 492, 2076, 8964, 42180, 203532, 1047132, 5524836, 30656004, 174301740, 1032669852, 6261722052, 39307157316, 252205707084, ...

MCS430100 : A0 = 1; A1 = 2; AK+1 = AK + 2 K AK-1 (score: 5)

2, 4, 12, 43, 188, 988, 6122, 43849, 356922, 3256156, 32918492, 365359579, 4417233452, 57789394468, 813468756018, ...

MCS856640 : A0 = 1; A1 = 2; AK+1 = K AK + AK-1 + K (score: 5)

2, 4, 12, 44, 200, 1088, 6928, 50672, 419232, 3874432, 39582784, 443159488, 5397079424, 71048351488, ...

MCS427328 : A0 = 1; A1 = 2; AK+1 = K AK + 2 AK-1 (score: 5)

2, 4, 12, 48, 240, 1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 174356582400, ...

MCS248386 : A0 = 2; AK+1 = K AK + 2 AK (score: 5)

2, 4, 13, 41, 106, 232, 449, 793, 1306, 2036, 3037, 4369, 6098, 8296, 11041, 14417, 18514, 23428, 29261, 36121, 44122, 53384, 64033, 76201, 90026, 105652, 123229, 142913, 164866, 189256, 216257, ...

MCS125188 : A0 = 1; AK+1 = AK + K3 + 1 (score: 5)

2, 4, 13, 54, 274, 1657, 11653, 93498, 843139, 8443043, 92966971, 1116446791, 14522251326, 203404485535, ...

MCS3080 : A0 = 0; A1 = 1; A2 = 2; AK+1 = K AK + AK-2 (score: 5)

2, 4, -12, -32, 120, 384, -1680, -6144, 30240, 122880, -665280, -2949120, 17297280, 82575360, -518918400, -2642411520, 17643225600, 95126814720, -670442572800, ...

MCS1704301 : A0 = -1; A1 = -1; AK+1 = - 2 K AK-1 (score: 5)

2, 4, -14, -20, 14, 24, -46, -68, 70, 112, -166, -252, 302, 472, -638, -980, 1238, 1920, -2518, -3884, 4990, 7720, -10030, -15492, 20006, 30928, -40070, -61916, 80078, 123768, -160222, -247604, ...

MCS13724422 : A0 = 1; A1 = 1; AK+1 = - 2 AK-1 - 2 K (score: 5)

2, 5, 0, -5, 6, 17, -4, -25, 18, 61, -24, -109, 62, 233, -108, -449, 234, 917, -448, -1813, 918, 3649, -1812, -7273, 3650, 14573, -7272, -29117, 14574, 58265, -29116, -116497, 58266, 233029, ...

MCS27429 (alias MCS13708310) : A0 = 0; A1 = 1; AK+1 = - 2 AK-1 + K - 1 (score: 5)

2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, 5, 1, 2, ...

MCS786964 : A0 = 1; A1 = 2; A2 = 5; AN = AN-3 (score: 5)

2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, ...

MCS1708074 : A0 = 2; A1 = 5; AN = AN-2 (score: 5)

Horadam sequence Wn(2, 5; 1, 0)

2, 5, 4, 3, 6, 9, 8, 7, 10, 13, 12, 11, 14, 17, 16, 15, 18, 21, 20, 19, 22, 25, 24, 23, 26, 29, 28, 27, 30, 33, 32, 31, 34, 37, 36, 35, 38, 41, 40, 39, 42, 45, 44, 43, 46, 49, 48, 47, 50, 53, 52, ...

MCS1714949 : A0 = 0; A1 = -1; AK+1 = - AK-1 + 2 K (score: 5)

2, 5, 4, 3, -2, 1, 4, 15, 10, 5, -16, -5, 6, 49, 28, 7, -78, -35, 8, 179, 94, 9, -332, -161, 10, 693, 352, 11, -1354, -671, 12, 2743, 1378, 13, -5448, -2717, 14, 10937, 5476, 15, -21830, -10907, ...

MCS25433654 : A0 = 1; A1 = 1; A2 = 1; AK+1 = - 2 AK-2 + K (score: 5)

2, 5, 5, 4, 6, 9, 9, 8, 10, 13, 13, 12, 14, 17, 17, 16, 18, 21, 21, 20, 22, 25, 25, 24, 26, 29, 29, 28, 30, 33, 33, 32, 34, 37, 37, 36, 38, 41, 41, 40, 42, 45, 45, 44, 46, 49, 49, 48, 50, 53, 53, ...

MCS7023366 : A0 = 1; A1 = 1; AK+1 = - AK-1 + 2 K - 1 (score: 5)

2, 5, 6, 9, 16, 19, 26, 41, 48, 63, 94, 109, 140, 203, 234, 297, 424, 487, 614, 869, 996, 1251, 1762, 2017, 2528, 3551, 4062, 5085, 7132, 8155, 10202, 14297, 16344, 20439, 28630, 32725, 40916, ...

MCS397393 : A0 = 0; A1 = 1; A2 = 1; AK+1 = 2 AK-2 + K (score: 5)

2, 5, 6, 13, 10, 29, 6, 69, -38, 197, -250, 669, -1142, 2509, -4762, 9813, -19302, 38965, -77530, 155501, -310518, 621565, -1242554, 2485733, -4970790, 9942309, -19883834, 39768509, -79536118, ...

MCS7768 : A0 = 0; AK+1 = - 2 AK + K2 (score: 4)

2, 5, 7, 7, 6, 6, 8, 11, 13, 13, 12, 12, 14, 17, 19, 19, 18, 18, 20, 23, 25, 25, 24, 24, 26, 29, 31, 31, 30, 30, 32, 35, 37, 37, 36, 36, 38, 41, 43, 43, 42, 42, 44, 47, 49, 49, 48, 48, 50, 53, 55, ...

MCS3482817 (alias MCS13782038, MCS14062342) : A0 = 0; A1 = 0; AK+1 = AK - AK-1 + K + 1 (score: 5)

2, 5, 7, 7, 8, 11, 13, 13, 14, 17, 19, 19, 20, 23, 25, 25, 26, 29, 31, 31, 32, 35, 37, 37, 38, 41, 43, 43, 44, 47, 49, 49, 50, 53, 55, 55, 56, 59, 61, 61, 62, 65, 67, 67, 68, 71, 73, 73, 74, 77, ...

MCS1719046 : A0 = 1; A1 = 1; AK+1 = - AK-1 + 3 K (score: 5)

2, 5, 7, 10, 15, 19, 24, 31, 37, 44, 53, 61, 70, 81, 91, 102, 115, 127, 140, 155, 169, 184, 201, 217, 234, 253, 271, 290, 311, 331, 352, 375, 397, 420, 445, 469, 494, 521, 547, 574, 603, 631, 660, ...

MCS3186950 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK-2 + 2 K (score: 5)

2, 5, 7, 11, 14, 19, 23, 29, 34, 41, 47, 55, 62, 71, 79, 89, 98, 109, 119, 131, 142, 155, 167, 181, 194, 209, 223, 239, 254, 271, 287, 305, 322, 341, 359, 379, 398, 419, 439, 461, 482, 505, 527, ...

MCS6956045 : A0 = -1; A1 = -1; AK+1 = AK-1 + K + 1 (score: 5)

2, 5, 7, 11, 18, 25, 31, 39, 50, 61, 71, 83, 98, 113, 127, 143, 162, 181, 199, 219, 242, 265, 287, 311, 338, 365, 391, 419, 450, 481, 511, 543, 578, 613, 647, 683, 722, 761, 799, 839, 882, 925, ...

MCS1710349 : A0 = -1; A1 = -1; AK+1 = - AK-1 + K2 (score: 5)

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98, 101, 104, 107, 110, 113, 116, 119, 122, 125, 128, 131, 134, 137, ...

MCS3547 (alias MCS7083, MCS126593, MCS253186)

AK = 3 K - 1 (score: 4)

2, 5, 8, 12, 18, 25, 32, 40, 50, 61, 72, 84, 98, 113, 128, 144, 162, 181, 200, 220, 242, 265, 288, 312, 338, 365, 392, 420, 450, 481, 512, 544, 578, 613, 648, 684, 722, 761, 800, 840, 882, 925, ...

MCS869153 : A0 = 0; A1 = 0; AK+1 = - AK-1 + K2 + 1 (score: 5)

2, 5, 8, 13, 18, 25, 32, 41, 50, 61, 72, 85, 98, 113, 128, 145, 162, 181, 200, 221, 242, 265, 288, 313, 338, 365, 392, 421, 450, 481, 512, 545, 578, 613, 648, 685, 722, 761, 800, 841, 882, 925, ...

MCS1674 (alias MCS31336, MCS501448) : A0 = 0; A1 = 1; AK+1 = AK-1 + 2 K (score: 4)

2, 5, 8, 15, 22, 37, 52, 83, 114, 177, 240, 367, 494, 749, 1004, 1515, 2026, 3049, 4072, 6119, 8166, 12261, 16356, 24547, 32738, 49121, 65504, 98271, 131038, 196573, 262108, 393179, 524250, ...

MCS428353 (alias MCS13586, MCS1755457) : A0 = 0; A1 = 0; AK+1 = 2 AK-1 + K (score: 4)

2, 5, 9, 12, 13, 11, 7, 3, 2, 6, 15, 26, 34, 34, 24, 7, -9, -14, -1, 29, 65, 89, 84, 44, -19, -76, -92, -44, 62, 185, 261, 232, 81, -145, -341, -385, -202, 178, 603, 846, 710, 150, -652, -1317, ...

MCS6439309 : A0 = 0; A1 = 0; A2 = 0; AK+1 = AK - AK-2 + K (score: 5)

2, 5, 9, 12, 13, 13, 14, 17, 21, 24, 25, 25, 26, 29, 33, 36, 37, 37, 38, 41, 45, 48, 49, 49, 50, 53, 57, 60, 61, 61, 62, 65, 69, 72, 73, 73, 74, 77, 81, 84, 85, 85, 86, 89, 93, 96, 97, 97, 98, ...

MCS6892294 : A0 = 1; A1 = 1; AK+1 = AK - AK-1 + 2 K (score: 5)

2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119, 135, 152, 170, 189, 209, 230, 252, 275, 299, 324, 350, 377, 405, 434, 464, 495, 527, 560, 594, 629, 665, 702, 740, 779, 819, 860, 902, 945, ...

MCS1972 (alias MCS3924, MCS62017, MCS250433)

A0 = 0; AK+1 = AK + K - 1 (score: 3)

2, 5, 9, 15, 25, 40, 62, 95, 144, 216, 322, 478, 707, 1043, 1536, 2259, 3319, 4873, 7151, 10490, 15384, 22557, 33070, 48478, 71060, 104156, 152661, 223749, 327934, 480625, 704405, 1032371, ...

MCS6439174 : A0 = 1; A1 = 1; A2 = 2; AK+1 = AK + AK-2 + K (score: 5)

2, 5, 9, 16, 27, 43, 67, 103, 156, 234, 349, 518, 766, 1130, 1664, 2447, 3595, 5278, 7745, 11361, 16661, 24429, 35814, 52500, 76955, 112796, 165324, 242308, 355134, 520489, 762829, 1117996, ...

MCS6439181 : A0 = 0; A1 = 0; A2 = 0; AK+1 = AK + AK-2 + K (score: 5)


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Quick Index:
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