Minimally Complex Sequences

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2, 4, 4, 7, 10, 11, 15, 19, 21, 26, 31, 34, 40, 46, 50, 57, 64, 69, 77, 85, 91, 100, 109, 116, 126, 136, 144, 155, 166, 175, 187, 199, 209, 222, 235, 246, 260, 274, 286, 301, 316, 329, 345, 361, ...

MCS794757 : A₀ = 0; A₁ = 1; A₂ = 0; A_K+1 = A_K-2 + 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, ...

MCS854537 : A₀ = -1; A₁ = 1; A_N = 2 A_N-2 (score: 5)

Horadam sequence W_n(-1, 1; 2, 0)

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; A_N = - 2 A_N-2 (score: 5)

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

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, 262144, 262144, ...

MCS1709074 : A₀ = 2; A₁ = 4; A_N = 2 A_N-2 (score: 5)

Horadam sequence W_n(2, 4; 2, 0)

2, -4, 4, -11, 36, -174, 1002, -6847, 53766, -477056, 4716784, -51407579, 612174152, -7906856410, 110083815574, ...

MCS858976 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K - A_K-1 - K (score: 5)

2, -4, -4, 28, 4, -284, 236, 3740, -7516, -59804, 210124, 1105564, -6148540, -22596124, 194755244, 483128476, -6715296284, -9711071900, 251461738124, 117558994076, ...

MCS864300 : A₀ = 1; A₁ = 2; A_K+1 = - A_K - 2 K A_K-1 (score: 5)

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

MCS1767616 : A₀ = 1; A₁ = 2; A_N = - A_N-2 - 3 (score: 5)

2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, 4, 5, 2, ...

MCS1573906 : A₀ = 2; A₁ = 4; A₂ = 5; A_N = A_N-3 (score: 5)

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

MCS1574418 : A₀ = 2; A₁ = 4; A₂ = 5; A_N = - A_N-3 (score: 5)

2, 4, 5, 3, 2, 2, 5, 7, 8, 6, 5, 5, 8, 10, 11, 9, 8, 8, 11, 13, 14, 12, 11, 11, 14, 16, 17, 15, 14, 14, 17, 19, 20, 18, 17, 17, 20, 22, 23, 21, 20, 20, 23, 25, 26, 24, 23, 23, 26, 28, 29, 27, 26, ...

MCS6358581 : A₀ = 0; A₁ = -1; A₂ = -1; A_K+1 = - A_K-2 + K (score: 5)

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; A_N = - A_N-1 - A_N-3 (score: 5)

2, 4, 5, 5, 4, 2, -1, -5, -10, -16, -23, -31, -40, -50, -61, -73, -86, -100, -115, -131, -148, -166, -185, -205, -226, -248, -271, -295, -320, -346, -373, -401, -430, -460, -491, -523, -556, -590, ...

MCS1004738 : A₀ = 2; A_K+1 = A_K - K + 2 (score: 5)

2, 4, 5, 5, 5, 6, 8, 10, 11, 11, 11, 12, 14, 16, 17, 17, 17, 18, 20, 22, 23, 23, 23, 24, 26, 28, 29, 29, 29, 30, 32, 34, 35, 35, 35, 36, 38, 40, 41, 41, 41, 42, 44, 46, 47, 47, 47, 48, 50, 52, 53, ...

MCS1722753 : A₀ = -1; A₁ = 0; A_K+1 = A_K - A_K-1 + K (score: 5)

2, 4, 5, 5, 6, 8, 9, 9, 10, 12, 13, 13, 14, 16, 17, 17, 18, 20, 21, 21, 22, 24, 25, 25, 26, 28, 29, 29, 30, 32, 33, 33, 34, 36, 37, 37, 38, 40, 41, 41, 42, 44, 45, 45, 46, 48, 49, 49, 50, 52, 53, ...

MCS13717 (alias MCS6957830) : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + 2 K - 1 (score: 5)

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

MCS12449 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 + 2 K (score: 5)

2, -4, -5, -6, -14, -17, -20, -30, -35, -40, -52, -59, -66, -80, -89, -98, -114, -125, -136, -154, -167, -180, -200, -215, -230, -252, -269, -286, -310, -329, -348, -374, -395, -416, -444, -467, ...

MCS12464 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-2 - 2 K (score: 5)

2, -4, -5, -7, -2, -2, -1, -7, -8, -10, -5, -5, -4, -10, -11, -13, -8, -8, -7, -13, -14, -16, -11, -11, -10, -16, -17, -19, -14, -14, -13, -19, -20, -22, -17, -17, -16, -22, -23, -25, -20, -20, ...

MCS6709638 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 - K - 1 (score: 5)

2, 4, 5, 7, 7, 9, 8, 11, 9, 14, 10, 18, 10, 23, 8, 30, 3, 41, -7, 59, -26, 89, -61, 140, -124, 228, -236, 381, -434, 648, -783, 1115, -1397, 1933, -2476, 3367, -4371, 5882, -7698, 10294, -13538, ...

MCS1591393 : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = A_K-1 - A_K-2 + K (score: 5)

2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 58, 59, 61, 62, 64, 65, 67, 68, 70, 71, 73, 74, 76, ...

MCS124641 (alias MCS440448) : A₀ = -1; A_K+1 = - A_K + 3 K (score: 5)

2, 4, 5, 7, 10, 12, 15, 19, 22, 26, 31, 35, 40, 46, 51, 57, 64, 70, 77, 85, 92, 100, 109, 117, 126, 136, 145, 155, 166, 176, 187, 199, 210, 222, 235, 247, 260, 274, 287, 301, 316, 330, 345, 361, ...

MCS198689 (alias MCS1675329, MCS6570246) : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = A_K-2 + K (score: 4)

2, 4, 5, 7, 11, 16, 23, 34, 50, 73, 107, 157, 230, 337, 494, 724, 1061, 1555, 2279, 3340, 4895, 7174, 10514, 15409, 22583, 33097, 48506, 71089, 104186, 152692, 223781, 327967, 480659, 704440, ...

MCS1605896 : A₀ = 1; A₁ = 2; A₂ = 4; A_N = A_N-1 + A_N-3 (score: 5)

2, -4, -5, -8, 3, 4, 9, -14, -17, -28, 17, 22, 43, -48, -59, -102, 79, 100, 185, -178, -221, -392, 333, 418, 759, -692, -863, -1546, 1355, 1696, 3061, -2742, -3425, -6156, 5449, 6814, 12275, ...

MCS6391174 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = - 2 A_K-2 - K (score: 5)

2, -4, 5, -8, 11, -17, 24, -36, 52, -77, 112, -165, 241, -354, 518, -760, 1113, -1632, 2391, -3505, 5136, -7528, 11032, -16169, 23696, -34729, 50897, -74594, 109322, -160220, 234813, -344136, ...

MCS6734221 : A₀ = 0; A₁ = 0; A₂ = 0; A_N = - A_N-1 - A_N-3 - 1 (score: 5)

2, 4, 5, 8, 13, 16, 23, 34, 41, 56, 79, 94, 125, 172, 203, 266, 361, 424, 551, 742, 869, 1124, 1507, 1762, 2273, 3040, 3551, 4574, 6109, 7132, 9179, 12250, 14297, 18392, 24535, 28630, 36821, ...

MCS3179142 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = 2 A_K-2 + K (score: 5)

2, -4, 5, -12, 42, -199, 1151, -7859, 61720, -547622, 5414499, -59011868, 702727916, -9076451041, 126367586657, ...

MCS877408 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K - A_K-1 - 1 (score: 5)

2, -4, 5, -13, 14, -40, 41, -121, 122, -364, 365, -1093, 1094, -3280, 3281, -9841, 9842, -29524, 29525, -88573, 88574, -265720, 265721, -797161, 797162, -2391484, 2391485, -7174453, 7174454, ...

MCS3427 : A₀ = 0; A₁ = 1; A_N = 3 A_N-2 - 1 (score: 5)

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, ...

MCS3499712 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 - K - 2 (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; A_N = - A_N-1 - A_N-2 (score: 5)

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

2, -4, -6, -2, 5, 2, -10, -15, -1, 15, 5, -26, -33, 7, 44, 10, -68, -72, 39, 120, 12, -181, -155, 145, 311, -16, -483, -323, 470, 776, -178, -1278, -631, 1422, 1874, -827, -3333, -1085, 4121, ...

MCS6402438 : A₀ = 1; A₁ = 1; A₂ = 2; A_K+1 = - A_K-1 - A_K-2 - K (score: 5)

2, 4, 6, 6, 0, -20, -70, -182, -420, -912, -1914, -3938, -8008, -16172, -32526, -65262, -130764, -261800, -523906, -1048154, -2096688, -4193796, -8388054, -16776614, -33553780, -67108160, ...

MCS248460 : A₀ = 1; A_K+1 = 2 A_K - K² + K (score: 5)

2, -4, -6, 6, 10, -14, -22, 26, 42, -54, -86, 106, 170, -214, -342, 426, 682, -854, -1366, 1706, 2730, -3414, -5462, 6826, 10922, -13654, -21846, 27306, 43690, -54614, -87382, 109226, 174762, ...

MCS3498688 : A₀ = 1; A₁ = 2; A_N = - 2 A_N-2 - 2 (score: 5)

2, 4, 6, 7, 7, 7, 8, 10, 12, 13, 13, 13, 14, 16, 18, 19, 19, 19, 20, 22, 24, 25, 25, 25, 26, 28, 30, 31, 31, 31, 32, 34, 36, 37, 37, 37, 38, 40, 42, 43, 43, 43, 44, 46, 48, 49, 49, 49, 50, 52, 54, ...

MCS3445510 (alias MCS27465, MCS13931270) : A₀ = 1; A₁ = 1; A_K+1 = A_K - A_K-1 + K (score: 4)

2, 4, 6, 8, 9, 9, 8, 7, 7, 9, 13, 18, 22, 23, 20, 14, 8, 6, 11, 23, 38, 49, 49, 35, 11, -12, -20, -3, 38, 88, 122, 116, 61, -27, -108, -133, -69, 77, 249, 358, 322, 115, -200, -478, -548, -302, ...

MCS25153 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K - A_K-2 + K (score: 5)

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, ...

MCS882 (alias MCS490, MCS7082, MCS7706, MCS14170, MCS61652, MCS215648, MCS251138, MCS993986)

A_K = 2 K (score: 2)

Even numbers (A5843)

Horadam sequence W_n(0, 2; -1, 2)

2, -4, 6, -8, 10, -12, 14, -16, 18, -20, 22, -24, 26, -28, 30, -32, 34, -36, 38, -40, 42, -44, 46, -48, 50, -52, 54, -56, 58, -60, 62, -64, 66, -68, 70, -72, 74, -76, 78, -80, 82, -84, 86, -88, ...

MCS431712 : A₀ = 0; A₁ = 2; A_N = - 2 A_N-1 - A_N-2 (score: 5)

Horadam sequence W_n(0, 2; -1, -2)

2, 4, 6, 8, 11, 14, 17, 21, 25, 29, 34, 39, 44, 50, 56, 62, 69, 76, 83, 91, 99, 107, 116, 125, 134, 144, 154, 164, 175, 186, 197, 209, 221, 233, 246, 259, 272, 286, 300, 314, 329, 344, 359, 375, ...

MCS3179021 : A₀ = -1; A₁ = -1; A₂ = 0; A_K+1 = A_K-2 + K (score: 5)

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; A_K+1 = A_K-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; A_N = A_N-1 + A_N-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; A_N = 2 A_N-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; A_K+1 = A_K-1 + A_K-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; A_N = A_N-1 + A_N-2 (score: 5)

Horadam sequence W_n(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; A_N = A_N-1 + 2 A_N-3 (score: 5)

2, -4, 6, -16, 26, -60, 110, -232, 450, -916, 1814, -3648, 7274, -14572, 29118, -58264, 116498, -233028, 466022, -932080, 1864122, -3728284, 7456526, -14913096, 29826146, -59652340, 119304630, ...

MCS1989314 : A₀ = 2; A_K+1 = - 2 A_K - 2 K (score: 5)

2, -4, -7, -3, -2, -8, -11, -7, -6, -12, -15, -11, -10, -16, -19, -15, -14, -20, -23, -19, -18, -24, -27, -23, -22, -28, -31, -27, -26, -32, -35, -31, -30, -36, -39, -35, -34, -40, -43, -39, -38, ...

MCS3512000 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 - 2 K - 1 (score: 5)

2, -4, -7, 4, 9, -14, -25, 20, 41, -50, -93, 88, 173, -190, -361, 364, 705, -746, -1429, 1472, 2837, -2966, -5697, 5908, 11369, -11842, -22765, 23656, 45501, -47342, -91033, 94652, 182033, ...

MCS3513024 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K-1 - K - 1 (score: 5)

2, -4, 7, -9, 12, -14, 17, -19, 22, -24, 27, -29, 32, -34, 37, -39, 42, -44, 47, -49, 52, -54, 57, -59, 62, -64, 67, -69, 72, -74, 77, -79, 82, -84, 87, -89, 92, -94, 97, -99, 102, -104, 107, ...

MCS3484864 : A₀ = 1; A₁ = 2; A_N = - 2 A_N-1 - A_N-2 + 1 (score: 5)

2, -4, -7, -10, -6, -5, -4, -10, -13, -16, -12, -11, -10, -16, -19, -22, -18, -17, -16, -22, -25, -28, -24, -23, -22, -28, -31, -34, -30, -29, -28, -34, -37, -40, -36, -35, -34, -40, -43, -46, ...

MCS24929 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 - 2 K (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; A_K+1 = 2 A_K - 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; A_K+1 = A_K - A_K-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; A_K+1 = A_K-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; A_K+1 = A_K + 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; A_K+1 = A_K-1 + A_K-2 + K (score: 5)

2, -4, -7, 11, 20, -34, -61, 101, 182, -304, -547, 911, 1640, -2734, -4921, 8201, 14762, -24604, -44287, 73811, 132860, -221434, -398581, 664301, 1195742, -1992904, -3587227, 5978711, 10761680, ...

MCS1755072 : A₀ = 1; A₁ = 2; A_N = - 3 A_N-2 - 1 (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; A_K+1 = - A_K-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; A_K+1 = 2 A_K-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; A_N = A_N-1 + A_N-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; A_K+1 = 2 A_K - 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; A_N = 3 A_N-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, ...

MCS1624161 : A₀ = 0; A₁ = 0; A₂ = 1; A_N = - A_N-1 + A_N-2 - A_N-3 (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; A_N = A_N-1 + A_N-2 + A_N-3 (score: 5)

2, -4, 7, -16, 29, -62, 119, -244, 481, -970, 1931, -3872, 7733, -15478, 30943, -61900, 123785, -247586, 495155, -990328, 1980637, -3961294, 7922567, -15845156, 31690289, -63380602, 126761179, ...

MCS497346 : A₀ = 2; A_K+1 = - 2 A_K - K (score: 4)

2, -4, 7, -16, 36, -79, 174, -384, 847, -1868, 4120, -9087, 20042, -44204, 97495, -215032, 474268, -1046031, 2307094, -5088456, 11222943, -24752980, 54594416, -120411775, 265576530, -585747476, ...

MCS25281 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = - 2 A_N-1 - A_N-3 (score: 5)

2, -4, 7, -18, 27, -70, 115, -266, 483, -1030, 1979, -4058, 7995, -16134, 32099, -64394, 128563, -257382, 514475, -1029274, 2058187, -4116774, 8233107, -16466698, 32932867, -65866310, 131731995, ...

MCS497202 : A₀ = 2; A_K+1 = - 2 A_K - K² (score: 5)

2, -4, -8, 2, 8, -14, -28, 14, 40, -46, -100, 70, 176, -166, -380, 302, 728, -638, -1492, 1238, 2944, -2518, -5932, 4990, 11816, -10030, -23684, 20006, 47312, -40070, -94684, 80078, 189304, ...

MCS3431104 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K-1 - 2 K (score: 5)

2, -4, -8, -5, -4, -10, -14, -11, -10, -16, -20, -17, -16, -22, -26, -23, -22, -28, -32, -29, -28, -34, -38, -35, -34, -40, -44, -41, -40, -46, -50, -47, -46, -52, -56, -53, -52, -58, -62, -59, ...

MCS1720000 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 - 3 K (score: 5)

2, -4, 8, -9, 14, -14, 20, -19, 26, -24, 32, -29, 38, -34, 44, -39, 50, -44, 56, -49, 62, -54, 68, -59, 74, -64, 80, -69, 86, -74, 92, -79, 98, -84, 104, -89, 110, -94, 116, -99, 122, -104, 128, ...

MCS3454144 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K - A_K-1 + K (score: 5)

2, -4, -8, 9, 20, -32, -66, 89, 190, -276, -580, 817, 1728, -2464, -5198, 7377, 15578, -22148, -46752, 66425, 140236, -199296, -420730, 597865, 1262166, -1793620, -3786524, 5380833, 11359544, ...

MCS1718208 : A₀ = 1; A₁ = 2; A_K+1 = - 3 A_K-1 - K (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; A_K+1 = - A_K + 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; A_K+1 = - A_K-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; A_K+1 = A_K-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; A_K+1 = - A_K-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 : A_K = 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; A_K+1 = A_K + A_K-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; A_K+1 = 2 A_K-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; A_N = A_N-1 + A_N-2 + 2 (score: 5)

2, -4, -8, -14, -29, -44, -63, -93, -125, -163, -214, -269, -332, -410, -494, -588, -699, -818, -949, -1099, -1259, -1433, -1628, -1835, -2058, -2304, -2564, -2842, -3145, -3464, -3803, -4169, ...

MCS3078 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-2 - K² (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; A_K+1 = 2 A_K - A_K-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; A_K+1 = A_K + A_K-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; A_K+1 = 3 A_K-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, ...

MCS854976 : A₀ = 1; A₁ = 2; A_N = - 4 A_N-2 (score: 5)

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

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, ...

MCS62145 (alias MCS124290) : A₀ = -1; A_N = - 2 A_N-1 (score: 3)

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; A_N = 2 A_N-1 (score: 2)

Powers of 2 (A0079)

Horadam sequence W_n(1, 2; 2, 1) ; Horadam sequence W_n(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; A_K+1 = 2 A_K + A_K-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; A_K+1 = K A_K-1 + 2 (score: 5)

2, -4, 8, -23, 50, -128, 300, -735, 1762, -4268, 10288, -24855, 59986, -144840, 349652, -844159, 2037954, -4920084, 11878104, -28676311, 69230706, -167137744, 403506172, -974150111, 2351806370, ...

MCS3454592 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K + A_K-1 - K (score: 5)

2, -4, 9, -14, 37, -58, 141, -246, 541, -1018, 2117, -4134, 8389, -16634, 33437, -66678, 133581, -266906, 534101, -1067878, 2136117, -4271834, 8544109, -17087734, 34175997, -68351418, 136703461, ...

MCS497186 : A₀ = 2; A_K+1 = - 2 A_K + K² (score: 5)

2, -4, 9, -16, 28, -47, 78, -128, 209, -340, 552, -895, 1450, -2348, 3801, -6152, 9956, -16111, 26070, -42184, 68257, -110444, 178704, -289151, 467858, -757012, 1224873, -1981888, 3206764, ...

MCS12640 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = - 2 A_N-1 + A_N-3 (score: 5)

2, -4, 9, -16, 35, -66, 137, -268, 543, -1078, 2165, -4320, 8651, -17290, 34593, -69172, 138359, -276702, 553421, -1106824, 2213667, -4427314, 8854649, -17709276, 35418575, -70837126, 141674277, ...

MCS497282 : A₀ = 2; A_K+1 = - 2 A_K + K (score: 4)

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; A_K+1 = A_K + A_K-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; A_K+1 = A_K + 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; A_K+1 = 2 A_K + 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; A_N = 2 A_N-1 + A_N-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; A_K+1 = K A_K-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; A_N = 2 A_N-1 + A_N-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; A_K+1 = 2 A_K + 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; A_K+1 = K A_K-1 + A_K-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; A_K+1 = A_K + K A_K-1 + 1 (score: 5)

2, -4, 9, -23, 54, -132, 317, -767, 1850, -4468, 10785, -26039, 62862, -151764, 366389, -884543, 2135474, -5155492, 12446457, -30048407, 72543270, -175134948, 422813165, -1020761279, 2464335722, ...

MCS3517568 : A₀ = 1; A₁ = 2; A_N = - 2 A_N-1 + A_N-2 - 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; A_K+1 = 3 A_K - K - 1 (score: 5)

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; A_K+1 = - 2 A_K + 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; A_K+1 = 2 A_K-1 + 2 K (score: 5)

2, -4, 10, -16, 38, -68, 146, -280, 574, -1132, 2282, -4544, 9110, -18196, 36418, -72808, 145646, -291260, 582554, -1165072, 2330182, -4660324, 9320690, -18641336, 37282718, -74565388, 149130826, ...

MCS994626 : A₀ = 2; A_K+1 = - 2 A_K + 2 K (score: 5)

2, -4, -10, -18, -21, -26, -31, -43, -55, -69, -78, -89, -100, -118, -136, -156, -171, -188, -205, -229, -253, -279, -300, -323, -346, -376, -406, -438, -465, -494, -523, -559, -595, -633, -666, ...

MCS6157 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 - K² (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; A_K+1 = A_K-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 : A_K = 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; A_K+1 = A_K + A_K-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; A_K+1 = 2 A_K + 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, ...

MCS431680 : A₀ = 0; A₁ = 2; A_N = - 2 A_N-1 + A_N-2 (score: 5)

Horadam sequence W_n(0, 2; 1, -2)

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; A_N = 2 A_N-1 + A_N-2 (score: 5)

Horadam sequence W_n(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; A_K+1 = A_K + K A_K-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; A_K+1 = 2 A_K + 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, ...

MCS54064 (alias MCS3460134) : A₀ = 0; A₁ = 1; A_K+1 = - A_K + K A_K-1 - A_K-1 (score: 5)

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