Minimally Complex Sequences

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2, -7, 33, -191, 1304, -10241, 90865, -898409, 9791634, -116601199, 1506023953, -20967734143, 313009988192, ...

MCS855429 : A₀ = 0; A₁ = -1; A_K+1 = - K A_K - A_K-1 (score: 5)

2, 7, 33, 191, 1304, 10241, 90865, 898409, 9791634, 116601199, 1506023953, 20967734143, 313009988192, ...

MCS3443974 : A₀ = 1; A₁ = 1; A_K+1 = K A_K + A_K - A_K-1 (score: 5)

2, 7, 33, 191, 1304, 10241, 90865, 898409, 9791634, 116601199, 1506023953, 20967734143, 313009988192, ...

MCS1670 : A₀ = 0; A₁ = 1; A_K+1 = K A_K - A_K-1 (score: 4)

2, 7, 34, 202, 1407, 11222, 100796, 1006553, 11060861, 132629536, 1723177415, 24113422949, 361568714699, ...

MCS6309430 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = K A_K - A_K-2 (score: 5)

2, 7, 34, 203, 1420, 11359, 102230, 1022299, 11245288, 134943455, 1754264914, 24559708795, 368395631924, ...

MCS252560 : A₀ = 1; A_K+1 = K A_K + 2 A_K - 1 (score: 5)

2, 7, 36, 253, 2278, 25059, 325768, 4886521, 83070858, 1578346303, 33145272364, 762341264373, ...

MCS15666 : A₀ = 0; A_K+1 = 2 K A_K - A_K + 1 (score: 5)

2, 7, 36, 253, 2278, 25059, 325768, 4886521, 83070858, 1578346303, 33145272364, 762341264373, ...

MCS250408 : A₀ = 1; A_K+1 = 2 K A_K + A_K + 1 (score: 5)

2, -7, 38, -234, 1677, -13649, 124519, -1258838, 13971738, -168919693, 2209927748, -31107908164, 468828550209, ...

MCS3475846 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + A_K-1 + 1 (score: 5)

2, 7, 40, 313, 3090, 36767, 511648, 8149601, 146181170, 2915473799, 63994242408, ...

MCS6682 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K - A_K-1 (score: 5)

2, 7, 40, 317, 3166, 37987, 531812, 8508985, 153161722, 3063234431, 67391157472, ...

MCS15642 (alias MCS250280) : A₀ = 0; A_K+1 = 2 K A_K - K + 1 (score: 5)

2, -7, 44, -349, 3494, -41923, 586928, -9390841, 169035146, -3380702911, 74375464052, ...

MCS31525 (alias MCS504408) : A₀ = 0; A_K+1 = - 2 K A_K + K - 1 (score: 5)

2, -7, 53, -472, 5198, -67567, 1013513, -17229712, 327364538, -6874655287, 158117071613, ...

MCS496216 : A₀ = 1; A_K+1 = - 2 K A_K + A_K + K (score: 5)

2, -8, 8, -18, 24, -44, 66, -112, 176, -290, 464, -756, 1218, -1976, 3192, -5170, 8360, -13532, 21890, -35424, 57312, -92738, 150048, -242788, 392834, -635624, 1028456, -1664082, 2692536, ...

MCS3501185 : A₀ = 0; A₁ = 0; A_N = - A_N-1 + A_N-2 - 2 (score: 5)

2, -8, 10, -28, 46, -104, 194, -404, 790, -1600, 3178, -6380, 12734, -25496, 50962, -101956, 203878, -407792, 815546, -1631132, 3262222, -6524488, 13048930, -26097908, 52195766, -104391584, ...

MCS497328 : A₀ = 1; A_K+1 = - 2 A_K - 2 K (score: 4)

2, 8, 13, 16, 22, 32, 41, 48, 58, 72, 85, 96, 110, 128, 145, 160, 178, 200, 221, 240, 262, 288, 313, 336, 362, 392, 421, 448, 478, 512, 545, 576, 610, 648, 685, 720, 758, 800, 841, 880, 922, 968, ...

MCS13708 : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + K² - 1 (score: 5)

2, 8, 16, 24, 34, 48, 64, 80, 98, 120, 144, 168, 194, 224, 256, 288, 322, 360, 400, 440, 482, 528, 576, 624, 674, 728, 784, 840, 898, 960, 1024, 1088, 1154, 1224, 1296, 1368, 1442, 1520, 1600, ...

MCS427601 : A₀ = 0; A₁ = 0; A_K+1 = - A_K-1 + 2 K² (score: 5)

2, 8, 17, 29, 44, 62, 83, 107, 134, 164, 197, 233, 272, 314, 359, 407, 458, 512, 569, 629, 692, 758, 827, 899, 974, 1052, 1133, 1217, 1304, 1394, 1487, 1583, 1682, 1784, 1889, 1997, 2108, 2222, ...

MCS124129 : A₀ = -1; A_K+1 = A_K + 3 K (score: 5)

2, 8, 18, 32, 50, 72, 98, 128, 162, 200, 242, 288, 338, 392, 450, 512, 578, 648, 722, 800, 882, 968, 1058, 1152, 1250, 1352, 1458, 1568, 1682, 1800, 1922, 2048, 2178, 2312, 2450, 2592, 2738, 2888, ...

MCS1762 : A_K = 2 K² (score: 3)

2 N²; number of electrons per ''shell'' (A1105)

2, 8, 20, 40, 70, 112, 168, 240, 330, 440, 572, 728, 910, 1120, 1360, 1632, 1938, 2280, 2660, 3080, 3542, 4048, 4600, 5200, 5850, 6552, 7308, 8120, 8990, 9920, 10912, 11968, 13090, 14280, 15540, ...

MCS7752 (alias MCS7756, MCS427089) : A₀ = 0; A_K+1 = A_K + K² + K (score: 4)

2, 8, 22, 46, 84, 138, 212, 308, 430, 580, 762, 978, 1232, 1526, 1864, 2248, 2682, 3168, 3710, 4310, 4972, 5698, 6492, 7356, 8294, 9308, 10402, 11578, 12840, 14190, 15632, 17168, 18802, 20536, ...

MCS15568 : A₀ = 0; A_K+1 = - A_K + K³ + K (score: 5)

2, 8, 22, 52, 114, 240, 494, 1004, 2026, 4072, 8166, 16356, 32738, 65504, 131038, 262108, 524250, 1048536, 2097110, 4194260, 8388562, 16777168, 33554382, 67108812, 134217674, 268435400, 536870854, ...

MCS3882 : A₀ = 0; A_K+1 = 2 A_K + 2 K (score: 4)

2, 8, 23, 51, 96, 162, 253, 373, 526, 716, 947, 1223, 1548, 1926, 2361, 2857, 3418, 4048, 4751, 5531, 6392, 7338, 8373, 9501, 10726, 12052, 13483, 15023, 16676, 18446, 20337, 22353, 24498, 26776, ...

MCS248212 : A₀ = 1; A_K+1 = A_K + 2 K² - K (score: 5)

2, 8, 24, 80, 256, 832, 2688, 8704, 28160, 91136, 294912, 954368, 3088384, 9994240, 32342016, 104660992, 338690048, 1096024064, 3546808320, 11477712896, 37142659072, 120196169728, 388962975744, ...

MCS26955 : 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, 8, 26, 80, 242, 728, 2186, 6560, 19682, 59048, 177146, 531440, 1594322, 4782968, 14348906, 43046720, 129140162, 387420488, 1162261466, 3486784400, 10460353202, 31381059608, 94143178826, ...

MCS1963 : A₀ = 0; A_N = 3 A_N-1 + 2 (score: 5)

2, 8, 30, 128, 650, 3912, 27398, 219200, 1972818, 19728200, 217010222, 2604122688, 33853594970, 473950329608, ...

MCS1930 (alias MCS61776, MCS123553) : A₀ = 0; A_K+1 = K A_K + 2 K (score: 4)

2, -8, 30, -152, 910, -6372, 50974, -458768, 4587678, -50464460, 605573518, -7872455736, 110214380302, ...

MCS31449 : A₀ = 0; A_K+1 = - K A_K - A_K - 2 (score: 5)

2, -8, 32, -128, 512, -2048, 8192, -32768, 131072, -524288, 2097152, -8388608, 33554432, -134217728, 536870912, -2147483648, 8589934592, -34359738368, 137438953472, -549755813888, ...

MCS497538 : A₀ = 2; A_N = - 4 A_N-1 (score: 5)

2, 8, 32, 128, 512, 2048, 8192, 32768, 131072, 524288, 2097152, 8388608, 33554432, 134217728, 536870912, 2147483648, 8589934592, 34359738368, 137438953472, 549755813888, ...

MCS248706 : A₀ = 2; A_N = 4 A_N-1 (score: 5)

2, -8, 33, -174, 1076, -7707, 62731, -572287, 5785600, -64213888, 776352255, -10156793204, 142971457110, ...

MCS3508614 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + A_K-1 - 1 (score: 5)

2, -8, 36, -200, 1328, -10224, 89360, -873152, 9425952, -111365120, 1428894656, -19781794944, 293869134848, ...

MCS13357 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K - 2 A_K-1 (score: 5)

2, -8, 44, -280, 2048, -16944, 156592, -1599808, 17911072, -218132480, 2871544384, -40637886336, 615311383808, ...

MCS1709446 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + 2 A_K-1 (score: 5)

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

MCS124200 : A₀ = 1; A_K+1 = 2 K A_K + 2 A_K (score: 5)

Even semifactorials (A0165)

2, 8, 53, 473, 5198, 67568, 1013513, 17229713, 327364538, 6874655288, 158117071613, ...

MCS248232 : A₀ = 1; A_K+1 = 2 K A_K + A_K - K (score: 5)

2, 9, 8, -20, -12, 189, 160, -1620, -1500, 17941, 18144, -233064, -253820, 3496185, 4061376, -59434856, -73104444, 1129262625, 1462089280, -23714514684, -32165963676, 545433838261, 771983128800, ...

MCS852534 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 + K² (score: 5)

2, -9, 9, -32, 44, -115, 195, -434, 814, -1693, 3309, -6708, 13312, -26743, 53351, -106854, 213538, -427265, 854321, -1708872, 3417492, -6835259, 13670219, -27340762, 54681174, -109362725, ...

MCS13530 : A₀ = 0; A₁ = 1; A_K+1 = - A_K + 2 A_K-1 - K (score: 5)

2, -9, 12, -31, 54, -117, 224, -459, 906, -1825, 3636, -7287, 14558, -29133, 58248, -116515, 233010, -466041, 932060, -1864143, 3728262, -7456549, 14913072, -29826171, 59652314, -119304657, ...

MCS3885 (alias MCS15789, MCS1759553) : A₀ = 0; A_K+1 = - 2 A_K - K (score: 3)

2, -9, 12, -95, 138, -1337, 2200, -24075, 43990, -529661, 1055748, -13771199, 29560930, -413135985, 945949744, -14046623507, 34054190766, -533771693285, ...

MCS53634 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K-1 - K (score: 5)

2, 9, 13, 15, 22, 33, 41, 47, 58, 73, 85, 95, 110, 129, 145, 159, 178, 201, 221, 239, 262, 289, 313, 335, 362, 393, 421, 447, 478, 513, 545, 575, 610, 649, 685, 719, 758, 801, 841, 879, 922, 969, ...

MCS3509382 : A₀ = 1; A₁ = 1; A_K+1 = - A_K-1 + K² - 1 (score: 5)

2, 9, 20, 35, 54, 77, 104, 135, 170, 209, 252, 299, 350, 405, 464, 527, 594, 665, 740, 819, 902, 989, 1080, 1175, 1274, 1377, 1484, 1595, 1710, 1829, 1952, 2079, 2210, 2345, 2484, 2627, 2774, ...

MCS28370 : A_K = 2 K² + K - 1 (score: 5)

2, 9, 20, 41, 70, 113, 168, 241, 330, 441, 572, 729, 910, 1121, 1360, 1633, 1938, 2281, 2660, 3081, 3542, 4049, 4600, 5201, 5850, 6553, 7308, 8121, 8990, 9921, 10912, 11969, 13090, 14281, 15540, ...

MCS13346 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + 2 K² (score: 5)

2, 9, 20, 95, 246, 1337, 3944, 24075, 78890, 529661, 1893372, 13771199, 53014430, 413135985, 1696461776, 14046623507, 61072623954, 533771693285, ...

MCS428053 : A₀ = 0; A₁ = 0; A_K+1 = 2 K A_K-1 + K (score: 5)

2, 9, 28, 65, 126, 217, 344, 513, 730, 1001, 1332, 1729, 2198, 2745, 3376, 4097, 4914, 5833, 6860, 8001, 9262, 10649, 12168, 13825, 15626, 17577, 19684, 21953, 24390, 27001, 29792, 32769, 35938, ...

MCS3536 : A_K = K³ + 1 (score: 4)

2, 9, 29, 73, 154, 289, 497, 801, 1226, 1801, 2557, 3529, 4754, 6273, 8129, 10369, 13042, 16201, 19901, 24201, 29162, 34849, 41329, 48673, 56954, 66249, 76637, 88201, 101026, 115201, 130817, ...

MCS854086 : A₀ = 1; A₁ = 1; A_K+1 = A_K-1 + K³ (score: 5)

2, -9, 32, -165, 984, -6895, 55152, -496377, 4963760, -54601371, 655216440, -8517813733, 119249392248, ...

MCS505560 : A₀ = 1; A_K+1 = - K A_K - A_K - K - 1 (score: 5)

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

MCS252721 : A₀ = -1; A_K+1 = - K A_K - A_K - 1 (score: 5)

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

MCS15785 (alias MCS252568) : A₀ = 0; A_K+1 = - K A_K + 2 A_K - 1 (score: 5)

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

MCS7889 (alias MCS126232, MCS252465) : A₀ = 0; A_K+1 = - K A_K + A_K - 1 (score: 4)

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

MCS31577 : A₀ = 0; A_K+1 = - K A_K - 2 A_K - 1 (score: 5)

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

MCS1969 (alias MCS31512, MCS63025) : A₀ = 0; A_K+1 = - K A_K - 1 (score: 3)

2, 9, 56, 457, 4626, 55969, 788192, 12667041, 228794930, 4588565641, 101177239032, ...

MCS6674 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K + A_K-1 (score: 5)

2, -10, 7, -23, 23, -54, 68, -132, 189, -333, 509, -856, 1350, -2222, 3555, -5795, 9331, -15146, 24456, -39624, 64057, -103705, 167737, -271468, 439178, -710674, 1149823, -1860527, 3010319, ...

MCS13622 : A₀ = 0; A₁ = 1; A_K+1 = - A_K + A_K-1 - K + 1 (score: 5)

2, -10, 8, -36, 42, -126, 196, -464, 838, -1786, 3440, -7036, 13890, -27990, 55740, -111752, 223198, -446738, 893096, -1786612, 3572762, -7146030, 14291508, -28583616, 57166582, -114333866, ...

MCS497356 : A₀ = 1; A_K+1 = - 2 A_K - K² - K (score: 5)

2, -10, 20, -80, 220, -860, 2840, -11440, 42680, -179960, 734800, -3254240, 14276240, -66344080, 309040160, -1503233600, 7374996640, -37439668640, 192314598080, ...

MCS1728589 : A₀ = -1; A₁ = -1; A_K+1 = - A_K + K A_K-1 (score: 5)

2, 10, 24, 44, 70, 102, 140, 184, 234, 290, 352, 420, 494, 574, 660, 752, 850, 954, 1064, 1180, 1302, 1430, 1564, 1704, 1850, 2002, 2160, 2324, 2494, 2670, 2852, 3040, 3234, 3434, 3640, 3852, ...

MCS7067 : A_K = 3 K² - K (score: 5)

2, 10, 25, 49, 84, 132, 195, 275, 374, 494, 637, 805, 1000, 1224, 1479, 1767, 2090, 2450, 2849, 3289, 3772, 4300, 4875, 5499, 6174, 6902, 7685, 8525, 9424, 10384, 11407, 12495, 13650, 14874, ...

MCS7888 (alias MCS31020) : A₀ = 0; A_K+1 = A_K + K² - 1 (score: 4)

2, 10, 28, 60, 110, 182, 280, 408, 570, 770, 1012, 1300, 1638, 2030, 2480, 2992, 3570, 4218, 4940, 5740, 6622, 7590, 8648, 9800, 11050, 12402, 13860, 15428, 17110, 18910, 20832, 22880, 25058, ...

MCS7746 : A₀ = 0; A_K+1 = A_K + 2 K² (score: 4)

2, 10, 30, 68, 130, 222, 350, 520, 738, 1010, 1342, 1740, 2210, 2758, 3390, 4112, 4930, 5850, 6878, 8020, 9282, 10670, 12190, 13848, 15650, 17602, 19710, 21980, 24418, 27030, 29822, 32800, 35970, ...

MCS3528 : A_K = K³ + K (score: 4)

2, 10, 32, 84, 198, 438, 932, 1936, 3962, 8034, 16200, 32556, 65294, 130798, 261836, 523944, 1048194, 2096730, 4193840, 8388100, 16776662, 33553830, 67108212, 134217024, 268434698, 536870098, ...

MCS15528 (alias MCS15532) : A₀ = 0; A_K+1 = 2 A_K + K² + K (score: 5)

2, 10, 36, 116, 358, 1086, 3272, 9832, 29514, 88562, 265708, 797148, 2391470, 7174438, 21523344, 64570064, 193710226, 581130714, 1743392180, 5230176580, 15690529782, 47071589390, 141214768216, ...

MCS3898 : A₀ = 0; A_K+1 = 3 A_K + 2 K (score: 5)

2, 10, 37, 101, 226, 442, 785, 1297, 2026, 3026, 4357, 6085, 8282, 11026, 14401, 18497, 23410, 29242, 36101, 44101, 53362, 64010, 76177, 90001, 105626, 123202, 142885, 164837, 189226, 216226, ...

MCS30980 : A₀ = 1; A_K+1 = A_K + K³ (score: 4)

2, 10, 42, 188, 970, 5862, 41090, 328792, 2959218, 29592290, 325515322, 3906184020, 50780392442, 710925494398, ...

MCS7716 (alias MCS123464) : A₀ = 0; A_K+1 = K A_K + K² + K (score: 5)

2, 10, 46, 238, 1438, 10078, 80638, 725758, 7257598, 79833598, 958003198, 12454041598, 174356582398, ...

MCS7754 : A₀ = 0; A_K+1 = K A_K + A_K + 2 K (score: 5)

2, -10, 58, -466, 4658, -55898, 782570, -12521122, 225380194, -4507603882, 99167285402, ...

MCS31429 (alias MCS502872) : A₀ = 0; A_K+1 = - 2 K A_K - 2 (score: 5)

2, 11, -7, -34, 20, 101, -61, -304, 182, 911, -547, -2734, 1640, 8201, -4921, -24604, 14762, 73811, -44287, -221434, 132860, 664301, -398581, -1992904, 1195742, 5978711, -3587227, -17936134, ...

MCS13711 : A₀ = 0; A₁ = 1; A_N = - 3 A_N-2 - 1 (score: 5)

2, 11, -11, -67, 76, 535, -685, -5351, 7534, 64211, -97943, -898955, 1469144, 14383279, -24975449, -258899023, 474533530, 5177980459, -9965204131, -113915570099, 229199695012, ...

MCS27393 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - 1 (score: 4)

2, 11, 12, 3, 12, 43, 40, -5, 20, 131, 104, -93, -12, 411, 280, -533, -236, 1427, 872, -2413, -1260, 5355, 3096, -10085, -5516, 20899, 11816, -40957, -22732, 82875, 46488, -164661, -91820, 330547, ...

MCS3419270 : A₀ = 1; A₁ = 1; A_K+1 = - 2 A_K-1 + K² (score: 5)

2, -11, 15, -75, 159, -691, 1955, -8183, 27723, -117747, 450411, -1981135, 8286875, -38003915, 170593899, -816660471, 3887350635, -19403899603, 97150912283, -504632803967, ...

MCS54112 : A₀ = 0; A₁ = 1; A_K+1 = - A_K + K A_K-1 - K (score: 5)

2, 11, 26, 47, 74, 107, 146, 191, 242, 299, 362, 431, 506, 587, 674, 767, 866, 971, 1082, 1199, 1322, 1451, 1586, 1727, 1874, 2027, 2186, 2351, 2522, 2699, 2882, 3071, 3266, 3467, 3674, 3887, ...

MCS7091 : A_K = 3 K² - 1 (score: 5)

2, -11, 40, -165, 654, -2623, 10484, -41945, 167770, -671091, 2684352, -10737421, 42949670, -171798695, 687194764, -2748779073, 10995116274, -43980465115, 175921860440, -703687441781, ...

MCS15549 : A₀ = 0; A_K+1 = - 4 A_K - K (score: 5)

2, -11, 76, -685, 7534, -97943, 1469144, -24975449, 474533530, -9965204131, 229199695012, ...

MCS31589 (alias MCS504920) : A₀ = 0; A_K+1 = - 2 K A_K - A_K - 1 (score: 5)

2, -12, 6, -44, 38, -148, 198, -524, 886, -1972, 3702, -7692, 15046, -30484, 60518, -121548, 242518, -485684, 970646, -1942092, 3883302, -7767572, 15534086, -31069324, 62137398, -124276148, ...

MCS497196 : A₀ = 1; A_K+1 = - 2 A_K - 2 K² (score: 5)

2, -12, 28, -94, 270, -824, 2456, -7386, 22138, -66436, 199284, -597878, 1793606, -5380848, 16142512, -48427570, 145282674, -435848060, 1307544140, -3922632462, 11767897342, -35303692072, ...

MCS31221 : A₀ = 0; A_K+1 = - 3 A_K - 2 K (score: 5)

2, 12, 36, 80, 150, 252, 392, 576, 810, 1100, 1452, 1872, 2366, 2940, 3600, 4352, 5202, 6156, 7220, 8400, 9702, 11132, 12696, 14400, 16250, 18252, 20412, 22736, 25230, 27900, 30752, 33792, 37026, ...

MCS3524 : A_K = K³ + K² (score: 5)

2, 12, 42, 110, 240, 462, 812, 1332, 2070, 3080, 4422, 6162, 8372, 11130, 14520, 18632, 23562, 29412, 36290, 44310, 53592, 64262, 76452, 90300, 105950, 123552, 143262, 165242, 189660, 216690, ...

MCS15504 : A₀ = 0; A_K+1 = A_K + K³ + K (score: 5)

2, 12, 42, 116, 282, 636, 1370, 2868, 5898, 11996, 24234, 48756, 97850, 196092, 392634, 785780, 1572138, 3144924, 6290570, 12581940, 25164762, 50330492, 100662042, 201325236, 402651722, 805304796, ...

MCS15522 : A₀ = 0; A_K+1 = 2 A_K + 2 K² (score: 5)

2, 12, 54, 248, 1290, 7812, 54782, 438384, 3945618, 39456380, 434020422, 5208245352, 67707189914, 947900659188, ...

MCS7698 (alias MCS61588) : A₀ = 0; A_K+1 = K A_K + 2 K² (score: 5)

2, 12, 60, 320, 1950, 13692, 109592, 986400, 9864090, 108505100, 1302061332, 16926797472, 236975164790, ...

MCS7732 (alias MCS123720) : A₀ = 0; A_K+1 = K A_K + K² - K (score: 5)

2, 12, 78, 632, 6330, 75972, 1063622, 17017968, 306323442, 6126468860, 134782314942, ...

MCS7722 (alias MCS123560) : A₀ = 0; A_K+1 = 2 K A_K + 2 K (score: 5)

2, -12, 81, -733, 8058, -104760, 1571393, -26713689, 507560082, -10658761732, 245151519825, ...

MCS498520 : A₀ = 1; A_K+1 = - 2 K A_K - A_K - K (score: 5)

2, -13, 74, -523, 4178, -37609, 376082, -4136911, 49642922, -645357997, 9035011946, -135525179203, ...

MCS31085 : A₀ = 0; A_K+1 = - K A_K - 2 A_K - K (score: 5)

2, -13, 74, -523, 4178, -37609, 376082, -4136911, 49642922, -645357997, 9035011946, -135525179203, ...

MCS501464 : A₀ = 1; A_K+1 = - K A_K - A_K - K + 1 (score: 5)

2, 13, 95, 860, 9466, 123065, 1845983, 31381720, 596252690, 12521306501, 287990049535, ...

MCS249128 : A₀ = 1; A_K+1 = 2 K A_K - A_K + K (score: 5)

2, -13, 116, -1393, 20894, -376093, 7897952, -189550849, 5117872922, -153536187661, ...

MCS15759 (alias MCS252152) : A₀ = 0; A_K+1 = - 3 K A_K - 1 (score: 5)

2, 14, 40, 88, 162, 270, 416, 608, 850, 1150, 1512, 1944, 2450, 3038, 3712, 4480, 5346, 6318, 7400, 8600, 9922, 11374, 12960, 14688, 16562, 18590, 20776, 23128, 25650, 28350, 31232, 34304, 37570, ...

MCS15554 : A₀ = 0; A_K+1 = - A_K + 2 K³ (score: 5)

2, -14, 62, -382, 2662, -21310, 191774, -1917758, 21095318, -253143838, 3290869870, -46072178206, 691082673062, ...

MCS31149 : A₀ = 0; A_K+1 = - K A_K - A_K - 2 K (score: 5)

2, -15, 10, -33, 34, -77, 100, -189, 276, -479, 740, -1235, 1958, -3211, 5150, -8381, 13510, -21913, 35400, -57337, 92712, -150075, 242760, -392863, 635594, -1028487, 1664050, -2692569, 4356586, ...

MCS3463685 : A₀ = 0; A₁ = -1; A_K+1 = - A_K + A_K-1 - K (score: 5)

2, 15, -16, -97, 104, 767, -946, -7681, 10394, 92159, -135136, -1290241, 2027024, 20643839, -34459426, -371589121, 654729074, 7431782399, -13749310576, -163499212801, 316234143224, ...

MCS109761 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - K - 1 (score: 5)

2, -15, 116, -1165, 13974, -195643, 3130280, -56345049, 1126900970, -24791821351, 595003712412, ...

MCS7733 (alias MCS123736, MCS247473) : A₀ = 0; A_K+1 = - 2 K A_K - K (score: 4)

2, 16, 54, 128, 250, 432, 686, 1024, 1458, 2000, 2662, 3456, 4394, 5488, 6750, 8192, 9826, 11664, 13718, 16000, 18522, 21296, 24334, 27648, 31250, 35152, 39366, 43904, 48778, 54000, 59582, 65536, ...

MCS3522 : A_K = 2 K³ (score: 4)

2, 18, 72, 200, 450, 882, 1568, 2592, 4050, 6050, 8712, 12168, 16562, 22050, 28800, 36992, 46818, 58482, 72200, 88200, 106722, 128018, 152352, 180000, 211250, 246402, 285768, 329672, 378450, ...

MCS15490 : A₀ = 0; A_K+1 = A_K + 2 K³ (score: 5)

2, -20, 13, -43, 45, -100, 132, -246, 363, -625, 971, -1614, 2566, -4200, 6745, -10967, 17689, -28680, 46344, -75050, 121367, -196445, 317783, -514258, 832010, -1346300, 2178277, -3524611, ...

MCS3520129 (alias MCS13854742, MCS13949446) : A₀ = 0; A₁ = 0; A_K+1 = - A_K + A_K-1 - K - 1 (score: 5)

2, -29, 25, -92, 132, -327, 579, -1246, 2390, -4897, 9661, -19472, 38776, -77739, 155271, -310770, 621290, -1242853, 2485409, -4971140, 9941932, -19884239, 39768075, -79536582, 159072702, ...

MCS6927622 : A₀ = 1; A₁ = 1; A_K+1 = - A_K + 2 A_K-1 - K (score: 5)

2, -31, 57, -220, 596, -1869, 5507, -16642, 49782, -149515, 448349, -1345272, 4035560, -12106969, 36320583, -108962110, 326885930, -980658231, 2941974209, -8825923156, 26477768892, -79433307301, ...

MCS31217 : A₀ = 0; A_K+1 = - 3 A_K - K² (score: 5)

2, -42, 24, -88, 88, -202, 262, -494, 724, -1252, 1940, -3230, 5130, -8402, 13488, -21936, 35376, -57362, 92686, -150102, 242732, -392892, 635564, -1028518, 1664018, -2692602, 4356552, -7049224, ...

MCS3462785 : A₀ = 0; A₁ = 0; A_K+1 = - A_K + A_K-1 - 2 K (score: 5)

2, -60, 48, -186, 262, -656, 1156, -2494, 4778, -9796, 19320, -38946, 77550, -155480, 310540, -621542, 1242578, -2485708, 4970816, -9942282, 19883862, -39768480, 79536148, -159073166, 318145402, ...

MCS62161 (alias MCS62169) : A₀ = 0; A_K+1 = - 2 A_K - K² + K (score: 5)

3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ...

MCS30787 (alias MCS30819, MCS61603, MCS123235)

A₀ = 3; A_K+1 = K A_K (score: 4)

3, 0, 0, 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, ...

MCS6685734 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = A_N-3 - 1 (score: 5)

3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, 0, -2, 1, 1, 3, 0, ...

MCS6555174 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = - A_N-3 + 1 (score: 5)

3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, ...

MCS786965 : A₀ = 0; A₁ = 0; A₂ = 3; A_N = A_N-3 (score: 5)

3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, 0, -3, 0, 0, 3, 0, ...

MCS787221 : A₀ = 0; A₁ = 0; A₂ = 3; A_N = - A_N-3 (score: 5)

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

MCS6923789 : A₀ = -1; A₁ = -1; A_K+1 = - A_K - A_K-1 + K (score: 5)

3, 0, 0, 9, 0, 0, 27, 0, 0, 81, 0, 0, 243, 0, 0, 729, 0, 0, 2187, 0, 0, 6561, 0, 0, 19683, 0, 0, 59049, 0, 0, 177147, 0, 0, 531441, 0, 0, 1594323, 0, 0, 4782969, 0, 0, 14348907, 0, 0, 43046721, 0, ...

MCS196833 : A₀ = 0; A₁ = 0; A₂ = 1; A_N = 3 A_N-3 (score: 5)

3, 0, -1, 0, -3, 8, -45, 264, -1855, 14832, -133497, 1334960, -14684571, 176214840, -2290792933, 32071101048, -481066515735, ...

MCS123747 : A₀ = 3; A_K+1 = - K A_K - K (score: 5)

3, 0, 1, 0, 3, -8, 45, -264, 1855, -14832, 133497, -1334960, 14684571, -176214840, 2290792933, -32071101048, 481066515735, ...

MCS123491 : A₀ = 3; A_K+1 = - K A_K + K (score: 5)

3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, 0, 1, 3, ...

MCS24592 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = A_N-3 (score: 4)

3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, 1, 3, 0, -1, -3, 0, ...

MCS24600 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = - A_N-3 (score: 4)

3, 0, 1, -3, -3, -8, -9, -15, -17, -24, -27, -35, -39, -48, -53, -63, -69, -80, -87, -99, -107, -120, -129, -143, -153, -168, -179, -195, -207, -224, -237, -255, -269, -288, -303, -323, -339, ...

MCS858628 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 - K (score: 4)

3, 0, -1, 3, 5, 2, 1, 5, 7, 4, 3, 7, 9, 6, 5, 9, 11, 8, 7, 11, 13, 10, 9, 13, 15, 12, 11, 15, 17, 14, 13, 17, 19, 16, 15, 19, 21, 18, 17, 21, 23, 20, 19, 23, 25, 22, 21, 25, 27, 24, 23, 27, 29, ...

MCS856836 : A₀ = 1; A₁ = 3; A_K+1 = - A_K-1 + K (score: 4)

3, 0, -1, -4, -15, -64, -325, -1956, -13699, -109600, -986409, -9864100, -108505111, -1302061344, -16926797485, -236975164804, ...

MCS123715 : A₀ = 3; A_K+1 = K A_K - K (score: 5)

3, 0, 1, 4, 15, 64, 325, 1956, 13699, 109600, 986409, 9864100, 108505111, 1302061344, 16926797485, 236975164804, ...

MCS123459 : A₀ = 3; A_K+1 = K A_K + K (score: 5)

3, 0, 1, 9, 15, 16, 21, 33, 43, 48, 57, 73, 87, 96, 109, 129, 147, 160, 177, 201, 223, 240, 261, 289, 315, 336, 361, 393, 423, 448, 477, 513, 547, 576, 609, 649, 687, 720, 757, 801, 843, 880, 921, ...

MCS855172 : A₀ = 1; A₁ = 3; A_K+1 = - A_K-1 + K² (score: 5)

3, 0, -1, -9, -17, -34, -53, -83, -117, -164, -217, -285, -361, -454, -557, -679, -813, -968, -1137, -1329, -1537, -1770, -2021, -2299, -2597, -2924, -3273, -3653, -4057, -4494, -4957, -5455, ...

MCS854212 : A₀ = 1; A₁ = 3; A_K+1 = A_K-1 - K² (score: 5)

3, 0, 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, ...

MCS877060 : A₀ = 1; A₁ = 3; A_N = A_N-2 - 1 (score: 4)

3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, 3, 0, -2, 1, ...

MCS869124 : A₀ = 1; A₁ = 3; A_N = - A_N-2 + 1 (score: 4)

3, 0, -2, 3, 2, -5, 1, 7, -6, -6, 13, 0, -19, 13, 19, -32, -6, 51, -26, -57, 77, 31, -134, 46, 165, -180, -119, 345, -61, -464, 406, 403, -870, 3, 1273, -873, -1270, 2146, 397, -3416, 1749, 3813, ...

MCS6341670 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = - A_N-2 + A_N-3 (score: 5)

3, 0, 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, ...

MCS6325798 : A₀ = 1; A₁ = 1; A₂ = 3; A_N = A_N-2 - A_N-3 (score: 5)

3, 0, -2, -6, 0, 4, 12, 0, -8, -24, 0, 16, 48, 0, -32, -96, 0, 64, 192, 0, -128, -384, 0, 256, 768, 0, -512, -1536, 0, 1024, 3072, 0, -2048, -6144, 0, 4096, 12288, 0, -8192, -24576, 0, 16384, ...

MCS98392 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = - 2 A_N-3 (score: 5)

3, 0, 2, 6, 0, 4, 12, 0, 8, 24, 0, 16, 48, 0, 32, 96, 0, 64, 192, 0, 128, 384, 0, 256, 768, 0, 512, 1536, 0, 1024, 3072, 0, 2048, 6144, 0, 4096, 12288, 0, 8192, 24576, 0, 16384, 49152, 0, 32768, ...

MCS49192 : A₀ = 0; A₁ = 1; A₂ = 3; A_N = 2 A_N-3 (score: 5)

3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, ...

MCS989 (alias MCS106754) : A₀ = 0; A_N = - A_N-1 + 3 (score: 4)

Horadam sequence W_n(0, 3; 1, 0)

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