Minimally Complex Sequences

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2, 0, -4, 2, 22, -10, -152, 82, 1370, -818, -15068, 9818, 195886, -137450, -2938288, 2199202, 49950898, -39585634, -949067060, 791712682, 19930408262, -17417679002, -458399390024, 418024296050, ...

MCS54529 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 + 2 (score: 5)

2, 0, -4, -4, 4, 12, 4, -20, -28, 12, 68, 44, -92, -180, 4, 364, 356, -372, -1084, -340, 1828, 2508, -1148, -6164, -3868, 8460, 16196, -724, -33116, -31668, 34564, 97900, 28772, -167028, -224572, ...

MCS860864 : A₀ = 1; A₁ = 2; A_N = A_N-1 - 2 A_N-2 (score: 4)

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

2, 0, 4, -4, 12, -20, 44, -84, 172, -340, 684, -1364, 2732, -5460, 10924, -21844, 43692, -87380, 174764, -349524, 699052, -1398100, 2796204, -5592404, 11184812, -22369620, 44739244, -89478484, ...

MCS432448 : A₀ = 1; A₁ = 2; A_N = - A_N-1 + 2 A_N-2 (score: 4)

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

2, 0, -4, 5, 30, -28, -232, 261, 2330, -2860, -27948, 37193, 391286, -557880, -6260560, 9483977, 112690098, -180195544, -2253801940, 3784106445, 49583642702, -87034448212, ...

MCS214029 : A₀ = 0; A₁ = 0; A_K+1 = - K A_K-1 + K (score: 4)

2, 0, -4, -7, -7, -5, -4, -6, -10, -13, -13, -11, -10, -12, -16, -19, -19, -17, -16, -18, -22, -25, -25, -23, -22, -24, -28, -31, -31, -29, -28, -30, -34, -37, -37, -35, -34, -36, -40, -43, -43, ...

MCS861888 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 - K (score: 4)

2, 0, -4, 8, -8, 0, 16, -32, 32, 0, -64, 128, -128, 0, 256, -512, 512, 0, -1024, 2048, -2048, 0, 4096, -8192, 8192, 0, -16384, 32768, -32768, 0, 65536, -131072, 131072, 0, -262144, 524288, ...

MCS26981 : A₀ = 0; A₁ = 1; A_N = - 2 A_N-1 - 2 A_N-2 (score: 5)

A108520

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

2, 0, 4, -9, 44, -224, 1394, -9975, 81202, -740784, 7489052, -83120345, 1004933204, -13147251984, 185066460994, ...

MCS856672 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K + A_K-1 + K (score: 5)

2, 0, -4, -10, -15, -17, -14, -7, 1, 5, 1, -12, -30, -45, -48, -34, -6, 24, 39, 25, -20, -81, -129, -133, -77, 26, 132, 181, 126, -36, -248, -406, -403, -189, 182, 549, 701, 481, -107, -848, ...

MCS25185 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K - A_K-2 - K (score: 5)

2, 0, -4, -10, -18, -28, -40, -54, -70, -88, -108, -130, -154, -180, -208, -238, -270, -304, -340, -378, -418, -460, -504, -550, -598, -648, -700, -754, -810, -868, -928, -990, -1054, -1120, ...

MCS28333 : A_K = - K² - K + 2 (score: 5)

2, 0, -4, -12, -40, -176, -976, -6480, -49888, -436032, -4260544, -45993920, -543405952, -6972289536, -96525241600, ...

MCS854848 : A₀ = 1; A₁ = 2; A_K+1 = K A_K - 2 A_K-1 (score: 5)

2, 0, 4, -12, 56, -304, 1936, -14160, 117152, -1082688, 11061184, -123838400, 1508183168, -19854057984, 280973178112, ...

MCS427360 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K + 2 A_K-1 (score: 5)

2, 0, -4, -15, -60, -290, -1686, -11519, -90474, -802756, -7937096, -86505311, -1030126648, -13305141126, -185241849130, ...

MCS858944 : A₀ = 1; A₁ = 2; A_K+1 = K A_K - A_K-1 - K (score: 5)

2, 0, 5, -1, 11, -6, 24, -22, 55, -67, 133, -188, 334, -508, 857, -1349, 2223, -3554, 5796, -9330, 15147, -24455, 39625, -64056, 103706, -167736, 271469, -439177, 710675, -1149822, 1860528, ...

MCS13846550 (alias MCS14078470) : A₀ = 1; A₁ = 0; A_K+1 = - A_K + A_K-1 + K (score: 5)

2, 0, 5, -4, 25, -44, 195, -502, 2063, -6580, 27211, -99590, 426123, -1720792, 7686515, -33498394, 156482635, -725955332, 3542642763, -17335794070, 88188649331, -452240324800, ...

MCS871432 : A₀ = 1; A₁ = 2; A_K+1 = - A_K + K A_K-1 + 1 (score: 5)

2, 0, 5, 5, 12, 14, 23, 27, 38, 44, 57, 65, 80, 90, 107, 119, 138, 152, 173, 189, 212, 230, 255, 275, 302, 324, 353, 377, 408, 434, 467, 495, 530, 560, 597, 629, 668, 702, 743, 779, 822, 860, 905, ...

MCS250641 : A₀ = -1; A_K+1 = - A_K + K² + 1 (score: 5)

2, 0, -5, -6, 13, 42, -37, -332, -37, 2950, 3319, -29132, -68961, 309754, 1275207, -3371104, -23774417, 33534350, 461473855, -175678796, -9405155897, -5715901182, 201197528551, 332663255736, ...

MCS878604 : A₀ = 1; A₁ = 2; A_K+1 = A_K - K A_K-1 - 1 (score: 5)

2, 0, -5, -13, -24, -38, -55, -75, -98, -124, -153, -185, -220, -258, -299, -343, -390, -440, -493, -549, -608, -670, -735, -803, -874, -948, -1025, -1105, -1188, -1274, -1363, -1455, -1550, ...

MCS1001968 : A₀ = 1; A_K+1 = A_K - 3 K + 1 (score: 5)

2, 0, -6, 0, 18, 0, -54, 0, 162, 0, -486, 0, 1458, 0, -4374, 0, 13122, 0, -39366, 0, 118098, 0, -354294, 0, 1062882, 0, -3188646, 0, 9565938, 0, -28697814, 0, 86093442, 0, -258280326, 0, ...

MCS213984 : A₀ = 0; A₁ = 2; A_N = - 3 A_N-2 (score: 5)

Horadam sequence W_n(0, 2; -3, 0)

2, 0, 6, 0, 18, 0, 54, 0, 162, 0, 486, 0, 1458, 0, 4374, 0, 13122, 0, 39366, 0, 118098, 0, 354294, 0, 1062882, 0, 3188646, 0, 9565938, 0, 28697814, 0, 86093442, 0, 258280326, 0, 774840978, 0, ...

MCS53472 : A₀ = 0; A₁ = 2; A_N = 3 A_N-2 (score: 5)

Horadam sequence W_n(0, 2; 3, 0)

2, 0, -6, 0, 30, 0, -210, 0, 1890, 0, -20790, 0, 270270, 0, -4054050, 0, 68918850, 0, -1309458150, 0, 27498621150, 0, -632468286450, 0, ...

MCS106886 : A₀ = 0; A₁ = 2; A_K+1 = - K A_K-1 - A_K-1 (score: 5)

2, 0, 6, 0, 30, 0, 210, 0, 1890, 0, 20790, 0, 270270, 0, 4054050, 0, 68918850, 0, 1309458150, 0, 27498621150, 0, 632468286450, 0, ...

MCS106756 : A₀ = 0; A₁ = 2; A_K+1 = K A_K-1 + A_K-1 (score: 5)

2, 0, 6, 3, 19, 9, 46, 12, 98, -5, 203, -87, 434, -352, 982, -1109, 2347, -3167, 5838, -8644, 14882, -23085, 38451, -61007, 100034, -160416, 261126, -420813, 682723, -1102695, 1786318, -2888052, ...

MCS864800 : A₀ = 1; A₁ = 2; A_K+1 = - A_K + A_K-1 + K² (score: 5)

2, 0, 6, -3, 31, -41, 233, -513, 2385, -6993, 30853, -107765, 478013, -1878945, 8571141, -36755301, 173893573, -798733673, 3928818005, -19104757773, 97681117893, -498881031105, ...

MCS865288 : A₀ = 1; A₁ = 2; A_K+1 = - A_K + K A_K-1 + K (score: 5)

2, 0, 6, -4, 18, -24, 62, -108, 234, -448, 918, -1812, 3650, -7272, 14574, -29116, 58266, -116496, 233030, -466020, 932082, -1864120, 3728286, -7456524, 14913098, -29826144, 59652342, -119304628, ...

MCS7770 : A₀ = 0; A_K+1 = - 2 A_K + 2 K (score: 4)

2, 0, -6, 6, 24, -60, -108, 588, 384, -6264, 2040, 73128, -99648, -924144, 2418864, 12367440, -53488128, -169125792, 1185400224, 2197115616, -27090520320, -21246023232, 644327990592, ...

MCS1728621 : A₀ = -1; A₁ = -1; A_K+1 = - A_K - K A_K-1 (score: 5)

2, 0, -6, -6, 24, 60, -108, -588, 384, 6264, 2040, -73128, -99648, 924144, 2418864, -12367440, -53488128, 169125792, 1185400224, -2197115616, -27090520320, 21246023232, 644327990592, 134423433024, ...

MCS860940 : A₀ = 1; A₁ = 2; A_K+1 = A_K - K A_K-1 - A_K-1 (score: 5)

2, 0, 6, -6, 36, -72, 324, -900, 3816, -12816, 54792, -208584, 920880, -3841056, 17654256, -79111152, 379233504, -1803234240, 9008670816, -45073355616, 234255442752, ...

MCS864776 : A₀ = 1; A₁ = 2; A_K+1 = - A_K + K A_K-1 + A_K-1 (score: 5)

2, 0, -6, -9, 11, 51, -21, -385, -225, 3231, 5471, -30081, -95745, 295295, 1635711, -2793729, -28965121, 18528255, 539900415, 187863551, -10610144769, -14555279361, 218867905535, 553639330815, ...

MCS861708 : A₀ = 1; A₁ = 2; A_K+1 = A_K - K A_K-1 - K (score: 5)

2, 0, -6, -15, -25, -35, -46, -60, -78, -99, -121, -143, -166, -192, -222, -255, -289, -323, -358, -396, -438, -483, -529, -575, -622, -672, -726, -783, -841, -899, -958, -1020, -1086, -1155, ...

MCS860976 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 - K² (score: 5)

2, 0, -6, -16, -30, -48, -70, -96, -126, -160, -198, -240, -286, -336, -390, -448, -510, -576, -646, -720, -798, -880, -966, -1056, -1150, -1248, -1350, -1456, -1566, -1680, -1798, -1920, -2046, ...

MCS28325 : A_K = - 2 K² + 2 (score: 5)

2, 0, 6, -16, 90, -528, 3710, -29664, 266994, -2669920, 29369142, -352429680, 4581585866, -64142202096, 962133031470, ...

MCS3861 (alias MCS61784, MCS123569) : A₀ = 0; A_K+1 = - K A_K + 2 K (score: 4)

2, 0, 6, 27, 58, 98, 158, 245, 354, 484, 646, 847, 1082, 1350, 1662, 2025, 2434, 2888, 3398, 3971, 4602, 5290, 6046, 6877, 7778, 8748, 9798, 10935, 12154, 13454, 14846, 16337, 17922, 19600, 21382, ...

MCS213776 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + K³ (score: 5)

2, 0, -6, -27, -70, -152, -286, -495, -798, -1224, -1798, -2555, -3526, -4752, -6270, -8127, -10366, -13040, -16198, -19899, -24198, -29160, -34846, -41327, -48670, -56952, -66246, -76635, -88198, ...

MCS213528 : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - K³ (score: 5)

2, 0, -7, -6, 37, 80, -215, -934, 1217, 11492, -3111, -152506, -108951, 2178640, 3921857, -33115022, -103708447, 525476972, 2599645913, -8435370498, -65627580583, 128385940872, ...

MCS870413 : A₀ = 0; A₁ = 0; A_K+1 = A_K - K A_K-1 + 1 (score: 5)

2, 0, 7, 7, 16, 18, 29, 33, 46, 52, 67, 75, 92, 102, 121, 133, 154, 168, 191, 207, 232, 250, 277, 297, 326, 348, 379, 403, 436, 462, 497, 525, 562, 592, 631, 663, 704, 738, 781, 817, 862, 900, ...

MCS503176 : A₀ = 1; A_K+1 = - A_K + K² - 2 (score: 5)

2, 0, -8, 0, 48, 0, -384, 0, 3840, 0, -46080, 0, 645120, 0, -10321920, 0, 185794560, 0, -3715891200, 0, 81749606400, 0, ...

MCS213045 : A₀ = 0; A₁ = -1; A_K+1 = - K A_K-1 (score: 4)

2, 0, -8, 0, 48, 0, -384, 0, 3840, 0, -46080, 0, 645120, 0, -10321920, 0, 185794560, 0, -3715891200, 0, 81749606400, 0, ...

MCS427545 : A₀ = -1; A₁ = 0; A_K+1 = - K A_K-1 - A_K-1 (score: 5)

2, 0, 8, 0, 48, 0, 384, 0, 3840, 0, 46080, 0, 645120, 0, 10321920, 0, 185794560, 0, 3715891200, 0, 81749606400, 0, ...

MCS3328 : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 (score: 3)

Even semifactorials

2, 0, 8, 0, 48, 0, 384, 0, 3840, 0, 46080, 0, 645120, 0, 10321920, 0, 185794560, 0, 3715891200, 0, 81749606400, 0, ...

MCS3416214 : A₀ = 1; A₁ = 0; A_K+1 = K A_K-1 + A_K-1 (score: 5)

Even semifactorials

2, 0, -8, 0, 64, 0, -768, 0, 12288, 0, -245760, 0, 5898240, 0, -165150720, 0, 5284823040, 0, -190253629440, 0, ...

MCS106518 : A₀ = 0; A₁ = 2; A_K+1 = - 2 K A_K-1 (score: 5)

2, 0, 8, 0, 64, 0, 768, 0, 12288, 0, 245760, 0, 5898240, 0, 165150720, 0, 5284823040, 0, 190253629440, 0, ...

MCS53258 : A₀ = 0; A₁ = 2; A_K+1 = 2 K A_K-1 (score: 5)

2, 0, -8, -8, 56, 136, -536, -2440, 6136, 50056, -72664, -1173896, 570040, 31091336, 15130216, -917609864, -1401776776, 29796958600, 80260922536, ...

MCS860204 : A₀ = 1; A₁ = 2; A_K+1 = A_K - 2 K A_K-1 (score: 5)

2, 0, 8, -8, 72, -152, 1016, -3144, 19400, -75992, 463992, -2135816, 13271624, -68802840, 440408312, -2504493512, 16597559496, -101750338904, 699262480760, ...

MCS432148 : A₀ = 1; A₁ = 2; A_K+1 = - A_K + 2 K A_K-1 (score: 5)

2, 0, -8, -16, 0, 64, 128, 0, -512, -1024, 0, 4096, 8192, 0, -32768, -65536, 0, 262144, 524288, 0, -2097152, -4194304, 0, 16777216, 33554432, 0, -134217728, -268435456, 0, 1073741824, 2147483648, ...

MCS53911 : A₀ = 0; A₁ = 1; A_N = 2 A_N-1 - 4 A_N-2 (score: 7)

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

2, 0, -8, 40, -192, 1064, -6976, 53208, -462320, 4500232, -48454944, 571411256, -7321388368, 101249656680, ...

MCS853558 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K - K A_K-1 (score: 5)

2, 0, -12, 0, 120, 0, -1680, 0, 30240, 0, -665280, 0, 17297280, 0, -518918400, 0, 17643225600, 0, -670442572800, 0, ...

MCS426073 : A₀ = -1; A₁ = 0; A_K+1 = - 2 K A_K-1 (score: 5)

2, 0, 12, 0, 120, 0, 1680, 0, 30240, 0, 665280, 0, 17297280, 0, 518918400, 0, 17643225600, 0, 670442572800, 0, ...

MCS1704278 : A₀ = 1; A₁ = 0; A_K+1 = 2 K A_K-1 (score: 5)

2, 0, 12, -40, 270, -1848, 14840, -133488, 1334970, -14684560, 176214852, -2290792920, 32071101062, -481066515720, ...

MCS7734 (alias MCS123752) : A₀ = 0; A_K+1 = - K A_K + K² - K (score: 5)

2, 1, 0, 1, 0, -1, 0, -1, -2, -1, -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, ...

MCS6685740 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = A_N-3 - 1 (score: 5)

2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, 0, -1, 0, 1, 2, 1, ...

MCS6401 (alias MCS819393, MCS1638789, MCS6555180)

A₀ = 0; A₁ = 1; A₂ = 2; A_N = - A_N-3 + 1 (score: 4)

2, -1, 0, -1, 0, -3, 0, -15, 0, -105, 0, -945, 0, -10395, 0, -135135, 0, -2027025, 0, -34459425, 0, -654729075, 0, -13749310575, 0, -316234143225, 0, ...

MCS854792 : A₀ = 1; A₁ = 2; A_K+1 = K A_K-1 - 2 A_K-1 (score: 5)

2, 1, 0, -1, 0, 3, 0, -15, 0, 105, 0, -945, 0, 10395, 0, -135135, 0, 2027025, 0, -34459425, 0, 654729075, 0, -13749310575, 0, 316234143225, 0, ...

MCS427276 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K-1 + 2 A_K-1 (score: 5)

2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, ...

MCS3409 (alias MCS12568, MCS436416, MCS6982678)

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

1 + cos(Nπ/2) (A7877)

2, -1, 0, 1, -2, -1, 0, -3, -2, -1, -4, -3, -2, -5, -4, -3, -6, -5, -4, -7, -6, -5, -8, -7, -6, -9, -8, -7, -10, -9, -8, -11, -10, -9, -12, -11, -10, -13, -12, -11, -14, -13, -12, -15, -14, -13, ...

MCS3264 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-3 - 1 (score: 4)

2, 1, 0, -1, -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, ...

MCS3541 (alias MCS126210) : A_K = - K + 2 (score: 3)

2, 1, 0, 1, -2, 9, -44, 265, -1854, 14833, -133496, 1334961, -14684570, 176214841, -2290792932, 32071101049, -481066515734, ...

MCS15657 : A₀ = 0; A_K+1 = - K A_K + 2 A_K + 1 (score: 5)

2, 1, 0, 1, -2, 9, -44, 265, -1854, 14833, -133496, 1334961, -14684570, 176214841, -2290792932, 32071101049, -481066515734, ...

MCS125208 : A₀ = 1; A_K+1 = - K A_K + A_K + 1 (score: 4)

2, 1, 0, 1, -2, 9, -44, 265, -1854, 14833, -133496, 1334961, -14684570, 176214841, -2290792932, 32071101049, -481066515734, ...

MCS125026 : A₀ = 2; A_K+1 = - K A_K + 1 (score: 4)

2, -1, 0, -1, 2, -9, 44, -265, 1854, -14833, 133496, -1334961, 14684570, -176214841, 2290792932, -32071101049, 481066515734, ...

MCS126050 : A₀ = 2; A_K+1 = - K A_K - 1 (score: 4)

2, 1, 0, 1, 4, 1, -14, 1, 106, 1, -944, 1, 10396, 1, -135134, 1, 2027026, 1, -34459424, 1, 654729076, 1, -13749310574, 1, 316234143226, 1, ...

MCS856588 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K-1 + A_K-1 + K (score: 5)

2, 1, 0, 1, 4, 5, 2, -1, 2, 9, 10, 1, -6, 3, 20, 19, -6, -21, 6, 47, 36, -31, -60, 19, 116, 67, -108, -155, 70, 293, 116, -331, -376, 249, 742, 163, -954, -867, 830, 1861, 78, -2649, -1896, 2615, ...

MCS24881 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-1 - A_K-2 + K (score: 5)

2, 1, 0, 1, 4, 7, 8, 7, 6, 7, 10, 13, 14, 13, 12, 13, 16, 19, 20, 19, 18, 19, 22, 25, 26, 25, 24, 25, 28, 31, 32, 31, 30, 31, 34, 37, 38, 37, 36, 37, 40, 43, 44, 43, 42, 43, 46, 49, 50, 49, 48, ...

MCS3515584 : A₀ = 1; A₁ = 2; A_K+1 = A_K - A_K-1 + K - 1 (score: 5)

2, 1, 0, -1, -4, -19, -110, -751, -5898, -52331, -517412, -5639201, -67153000, -867349799, -12075744186, -180268812991, ...

MCS213824 : A₀ = 1; A₁ = 2; A_K+1 = K A_K - A_K-1 (score: 4)

2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, ...

MCS786966 (alias MCS6295702) : A₀ = 0; A₁ = 2; A₂ = 1; A_N = A_N-3 (score: 5)

2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, 0, 2, 1, 0, -2, -1, ...

MCS787217 (alias MCS787222) : A₀ = -1; A₁ = 0; A₂ = 2; A_N = - A_N-3 (score: 5)

2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, 0, 2, -1, ...

MCS435808 (alias MCS786961, MCS1743233) : A₀ = 0; A₁ = 2; A_N = - A_N-1 - A_N-2 + 1 (score: 5)

2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, 0, 2, -1, 0, -2, 1, ...

MCS6297750 : A₀ = 1; A₁ = 0; A₂ = 2; A_N = - A_N-3 (score: 5)

2, 1, 0, 2, -1, 1, 1, -2, 3, -2, 0, 3, -5, 5, -2, -3, 8, -10, 7, 1, -11, 18, -17, 6, 12, -29, 35, -23, -6, 41, -64, 58, -17, -47, 105, -122, 75, 30, -152, 227, -197, 45, 182, -379, 424, -242, ...

MCS6489132 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = - A_N-1 + A_N-3 (score: 5)

2, 1, 0, 2, 2, -1, 1, 4, -1, -2, 6, 2, -7, 5, 10, -11, -4, 22, -6, -25, 29, 20, -53, 10, 74, -62, -63, 137, 2, -199, 136, 202, -334, -65, 537, -268, -601, 806, 334, -1406, 473, 1741, -1878, -1267, ...

MCS6566150 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = - A_N-2 + A_N-3 + 1 (score: 5)

2, 1, 0, -2, -3, -3, -1, 2, 5, 6, 4, -1, -7, -11, -10, -3, 8, 18, 21, 13, -5, -26, -39, -34, -8, 31, 65, 73, 42, -23, -96, -138, -115, -19, 119, 234, 253, 134, -100, -353, -487, -387, -34, 453, ...

MCS1606022 (alias MCS6424108) : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-1 - A_N-3 (score: 4)

2, -1, 0, 2, -3, 3, -1, -2, 5, -6, 4, 1, -7, 11, -10, 3, 8, -18, 21, -13, -5, 26, -39, 34, -8, -31, 65, -73, 42, 23, -96, 138, -115, 19, 119, -234, 253, -134, -100, 353, -487, 387, -34, -453, 840, ...

MCS202785 : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - A_N-1 + A_N-3 (score: 4)

2, 1, 0, 2, 4, 3, 2, 4, 6, 5, 4, 6, 8, 7, 6, 8, 10, 9, 8, 10, 12, 11, 10, 12, 14, 13, 12, 14, 16, 15, 14, 16, 18, 17, 16, 18, 20, 19, 18, 20, 22, 21, 20, 22, 24, 23, 22, 24, 26, 25, 24, 26, 28, ...

MCS107104 : A₀ = 0; A₁ = 2; A_K+1 = - A_K-1 + K (score: 4)

2, 1, 0, 3, 2, 1, 4, 3, 2, 5, 4, 3, 6, 5, 4, 7, 6, 5, 8, 7, 6, 9, 8, 7, 10, 9, 8, 11, 10, 9, 12, 11, 10, 13, 12, 11, 14, 13, 12, 15, 14, 13, 16, 15, 14, 17, 16, 15, 18, 17, 16, 19, 18, 17, 20, 19, ...

MCS3461893 : A₀ = 0; A₁ = -1; A_K+1 = - A_K - A_K-1 + K (score: 5)

2, 1, 0, -3, -2, -3, 4, 1, 10, -7, 8, -27, 22, -43, 76, -87, 162, -239, 336, -563, 814, -1235, 1940, -2863, 4410, -6743, 10136, -15563, 23622, -35835, 54748, -83079, 126418, -192575, 292576, ...

MCS24709 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-2 - 2 A_N-3 (score: 5)

2, 1, 0, 3, 2, -3, 4, 7, -10, 1, 24, -21, -22, 69, -20, -113, 158, 73, -384, 243, 530, -1011, -44, 2071, -1978, -2159, 6120, -1797, -10438, 14037, 6844, -34913, 21230, 48601, -91056, -6141, ...

MCS3170950 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = - A_N-2 + 2 A_N-3 (score: 5)

2, -1, 0, -3, -2, -5, -4, -7, -6, -9, -8, -11, -10, -13, -12, -15, -14, -17, -16, -19, -18, -21, -20, -23, -22, -25, -24, -27, -26, -29, -28, -31, -30, -33, -32, -35, -34, -37, -36, -39, -38, -41, ...

MCS874624 (alias MCS2005698) : A₀ = 1; A₁ = 2; A_N = A_N-2 - 2 (score: 4)

2, 1, 0, 3, 6, 1, -4, 7, 18, -3, -24, 19, 62, -23, -108, 63, 234, -107, -448, 235, 918, -447, -1812, 919, 3650, -1811, -7272, 3651, 14574, -7271, -29116, 14575, 58266, -29115, -116496, 58267, ...

MCS856769 (alias MCS27173, MCS3510977) : A₀ = 0; A₁ = 0; A_K+1 = - 2 A_K-1 + K (score: 4)

2, -1, 0, -3, -6, -9, -16, -23, -34, -49, -68, -95, -130, -177, -240, -323, -434, -581, -776, -1035, -1378, -1833, -2436, -3235, -4294, -5697, -7556, -10019, -13282, -17605, -23332, -30919, ...

MCS12496 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-1 + A_K-2 - K (score: 5)

2, 1, 0, 3, 8, -5, -36, 49, 304, -423, -3020, 4675, 36264, -60749, -507668, 911265, 8122720, -15491471, -146208924, 294337987, 2924178520, -6181097685, -64331927396, 142165246801, ...

MCS428556 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K-1 + 2 K (score: 5)

2, 1, 0, -3, -8, -17, -32, -57, -98, -165, -274, -451, -738, -1203, -1956, -3175, -5148, -8341, -13508, -21869, -35398, -57289, -92710, -150023, -242758, -392807, -635592, -1028427, -1664048, ...

MCS3516032 : A₀ = 1; A₁ = 2; A_K+1 = A_K + A_K-1 - K - 1 (score: 5)

2, -1, 0, -4, 0, -5, 3, -6, 7, -10, 12, -18, 21, -31, 38, -53, 68, -92, 120, -161, 211, -282, 371, -494, 652, -866, 1145, -1519, 2010, -2665, 3528, -4676, 6192, -8205, 10867, -14398, 19071, ...

MCS6693254 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-2 - A_N-3 - 1 (score: 5)

2, -1, 0, -4, -4, -9, -10, -16, -18, -25, -28, -36, -40, -49, -54, -64, -70, -81, -88, -100, -108, -121, -130, -144, -154, -169, -180, -196, -208, -225, -238, -256, -270, -289, -304, -324, -340, ...

MCS107328 : A₀ = 0; A₁ = 2; A_K+1 = A_K-1 - K (score: 4)

2, -1, 0, 5, -2, -5, 12, 1, -22, 23, 24, -67, 22, 115, -156, -71, 386, -241, -528, 1013, 46, -2069, 1980, 2161, -6118, 1799, 10440, -14035, -6842, 34915, -21228, -48599, 91058, 6143, -188256, ...

MCS12386 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = - A_N-2 + 2 A_N-3 (score: 5)

2, -1, 0, -5, 2, -5, 12, -9, 22, -33, 40, -77, 106, -157, 260, -369, 574, -889, 1312, -2037, 3090, -4661, 7164, -10841, 16486, -25169, 38168, -58141, 88506, -134477, 204788, -311489, 473742, ...

MCS6325638 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-2 - 2 A_N-3 (score: 5)

2, -1, 0, -5, -4, -25, -26, -157, -190, -1265, -1720, -12661, -18932, -151945, -246130, -2127245, -3691966, -34035937, -62763440, -612646885, -1192505380, -12252937721, -25042613002, ...

MCS858888 : A₀ = 1; A₁ = 2; A_K+1 = K A_K-1 - A_K-1 - K (score: 5)

2, 1, 0, -5, -12, -25, -42, -67, -98, -139, -188, -249, -320, -405, -502, -615, -742, -887, -1048, -1229, -1428, -1649, -1890, -2155, -2442, -2755, -3092, -3457, -3848, -4269, -4718, -5199, -5710, ...

MCS856624 : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - K² + K (score: 5)

2, -1, 0, 7, 12, 13, 18, 29, 38, 43, 52, 67, 80, 89, 102, 121, 138, 151, 168, 191, 212, 229, 250, 277, 302, 323, 348, 379, 408, 433, 462, 497, 530, 559, 592, 631, 668, 701, 738, 781, 822, 859, ...

MCS858912 : A₀ = 1; A₁ = 2; A_K+1 = - A_K-1 + K² - K (score: 5)

2, 1, 0, -7, -16, -39, -68, -127, -200, -335, -500, -791, -1144, -1751, -2484, -3727, -5224, -7743, -10772, -15847, -21944, -32135, -44372, -64799, -89320, -130223, -179316, -261175, -359416, ...

MCS427312 : A₀ = 1; A₁ = 2; A_K+1 = 2 A_K-1 - K² (score: 5)

2, -1, 0, -9, -8, -55, -60, -399, -496, -3609, -4980, -39721, -59784, -516399, -837004, -7746015, -13392096, -131682289, -241057764, -2501963529, -4821155320, -52541234151, -106065417084, ...

MCS857608 : A₀ = 1; A₁ = 2; A_K+1 = K A_K-1 - 2 K (score: 5)

2, -1, 0, 11, 16, 3, 4, 43, 56, -5, -12, 131, 168, -93, -140, 411, 536, -533, -748, 1427, 1896, -2413, -3308, 5355, 7192, -10085, -13708, 20899, 28200, -40957, -55500, 82875, 112024, -164661, ...

MCS854816 : A₀ = 1; A₁ = 2; A_K+1 = - 2 A_K-1 + K² (score: 5)

2, 1, 1, 0, 0, -1, -1, -2, -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, ...

MCS14032986 : A₀ = 2; A₁ = 1; A_N = A_N-2 - 1 (score: 5)

2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, ...

MCS413745 (alias MCS3309958) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - A_N-3 + 2 (score: 5)

2, 1, 1, 0, 1, -1, 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, ...

MCS13836378 : A₀ = 2; A₁ = 1; A_N = - A_N-1 + A_N-2 (score: 5)

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

2, 1, -1, 0, -1, 2, -9, 44, -265, 1854, -14833, 133496, -1334961, 14684570, -176214841, 2290792932, -32071101049, 481066515734, ...

MCS504930 : A₀ = 2; A_K+1 = - K A_K + A_K - 1 (score: 5)

2, 1, 1, 0, -1, -3, -6, -11, -19, -32, -53, -87, -142, -231, -375, -608, -985, -1595, -2582, -4179, -6763, -10944, -17709, -28655, -46366, -75023, -121391, -196416, -317809, -514227, -832038, ...

MCS3500160 : A₀ = 1; A₁ = 2; A_N = A_N-1 + A_N-2 - 2 (score: 5)

2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, 2, 1, -1, 0, ...

MCS108640 (alias MCS434561, MCS13906010) : A₀ = 0; A₁ = 2; A_N = - A_N-2 + 1 (score: 4)

2, -1, -1, 0, -3, -3, -2, -5, -5, -4, -7, -7, -6, -9, -9, -8, -11, -11, -10, -13, -13, -12, -15, -15, -14, -17, -17, -16, -19, -19, -18, -21, -21, -20, -23, -23, -22, -25, -25, -24, -27, -27, -26, ...

MCS6652166 : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-3 - 2 (score: 5)

2, 1, -1, 0, 6, 11, 5, -10, -12, 17, 51, 28, -62, -105, 33, 258, 208, -291, -689, -88, 1310, 1507, -1091, -4082, -1876, 6313, 10091, -2508, -22662, -17617, 27737, 63002, 7560, -118411, -133497, ...

MCS3445440 : A₀ = 1; A₁ = 2; A_K+1 = A_K - 2 A_K-1 + K (score: 5)

2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, 1, -1, 0, 0, 2, 1, ...

MCS1638793 (alias MCS3277593) : A₀ = 0; A₁ = 0; A₂ = 2; A_N = - A_N-3 + 1 (score: 5)

2, 1, 1, -1, 0, -2, 1, -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, ...

MCS6177 (alias MCS6325804) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-2 - A_N-3 (score: 4)

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

MCS500322 (alias MCS500546) : A₀ = 2; A_K+1 = - K A_K + K + 1 (score: 5)

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

MCS504386 (alias MCS504674) : A₀ = 2; A_K+1 = K A_K + K - 1 (score: 5)

2, -1, -1, 1, -2, -2, 0, -3, -3, -1, -4, -4, -2, -5, -5, -3, -6, -6, -4, -7, -7, -5, -8, -8, -6, -9, -9, -7, -10, -10, -8, -11, -11, -9, -12, -12, -10, -13, -13, -11, -14, -14, -12, -15, -15, -13, ...

MCS1671433 : A₀ = 0; A₁ = 0; A₂ = 2; A_N = A_N-3 - 1 (score: 5)

2, 1, -1, 1, 2, -2, -1, 4, -1, -5, 5, 4, -10, 1, 14, -11, -13, 25, 2, -38, 23, 40, -61, -17, 101, -44, -118, 145, 74, -263, 71, 337, -334, -266, 671, -68, -937, 739, 869, -1676, -130, 2545, -1546, ...

MCS6341676 : A₀ = 1; A₁ = 2; A₂ = 1; A_N = - A_N-2 + A_N-3 (score: 5)

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

MCS223944794 : A₀ = 2; A₁ = 1; A_K+1 = A_K-1 + K - 2 (score: 7)

Quarter-squares plus 1: floor(N²/4)+1 (A33638)

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

MCS870016 (alias MCS6986246, MCS13738074) : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - K + 1 (score: 4)

2, 1, 1, 1, 3, 4, 5, 4, 4, 4, 6, 7, 8, 7, 7, 7, 9, 10, 11, 10, 10, 10, 12, 13, 14, 13, 13, 13, 15, 16, 17, 16, 16, 16, 18, 19, 20, 19, 19, 19, 21, 22, 23, 22, 22, 22, 24, 25, 26, 25, 25, 25, 27, ...

MCS26177 (alias MCS6358572) : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 + K - 1 (score: 5)

2, 1, -1, -1, -3, -6, -7, -10, -14, -16, -20, -25, -28, -33, -39, -43, -49, -56, -61, -68, -76, -82, -90, -99, -106, -115, -125, -133, -143, -154, -163, -174, -186, -196, -208, -221, -232, -245, ...

MCS6390828 : A₀ = 1; A₁ = 2; A₂ = 1; A_K+1 = A_K-2 - K (score: 5)

2, 1, -1, 1, 4, 3, 1, 3, 6, 5, 3, 5, 8, 7, 5, 7, 10, 9, 7, 9, 12, 11, 9, 11, 14, 13, 11, 13, 16, 15, 13, 15, 18, 17, 15, 17, 20, 19, 17, 19, 22, 21, 19, 21, 24, 23, 21, 23, 26, 25, 23, 25, 28, 27, ...

MCS13709402 : A₀ = 2; A₁ = 1; A_K+1 = - A_K-1 + K (score: 5)

2, 1, -1, -1, 4, 5, -19, -29, 134, 233, -1205, -2329, 13256, 27949, -172327, -391285, 2584906, 6260561, -43943401, -112690097, 834924620, 2253801941, -17533417019, -49583642701, 403268591438, ...

MCS868876 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K-1 + A_K-1 + 1 (score: 5)

2, 1, 1, -1, -4, -10, -20, -37, -65, -111, -186, -308, -506, -827, -1347, -2189, -3552, -5758, -9328, -15105, -24453, -39579, -64054, -103656, -167734, -271415, -439175, -710617, -1149820, ...

MCS430912 : A₀ = 0; A₁ = 2; A_K+1 = A_K + A_K-1 - K (score: 5)

2, 1, 1, -1, 4, -17, 89, -551, 3946, -32119, 293017, -2962289, 32878196, -397500641, 5200386529, -73202912047, ...

MCS860768 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K + A_K + A_K-1 (score: 5)

2, -1, -1, -1, -5, -6, -7, -12, -14, -16, -22, -25, -28, -35, -39, -43, -51, -56, -61, -70, -76, -82, -92, -99, -106, -117, -125, -133, -145, -154, -163, -176, -186, -196, -210, -221, -232, -247, ...

MCS12848 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = A_K-2 - K + 1 (score: 5)

2, 1, -1, 1, -5, 17, -89, 529, -3709, 29665, -266993, 2669921, -29369141, 352429681, -4581585865, 64142202097, -962133031469, ...

MCS500578 : A₀ = 2; A_K+1 = - K A_K - K + 1 (score: 5)

2, -1, 1, -1, 5, -17, 89, -529, 3709, -29665, 266993, -2669921, 29369141, -352429681, 4581585865, -64142202097, 962133031469, ...

MCS504418 : A₀ = 2; A_K+1 = - K A_K + K - 1 (score: 5)

2, 1, -1, 1, 9, 1, -47, 1, 385, 1, -3839, 1, 46081, 1, -645119, 1, 10321921, 1, -185794559, 1, 3715891201, 1, -81749606399, 1, ...

MCS869388 : A₀ = 1; A₁ = 2; A_K+1 = - K A_K-1 + K + 1 (score: 5)

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

MCS7853 (alias MCS109632, MCS501442) : A₀ = 0; A_K+1 = - A_K - K + 2 (score: 4)

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