Minimally Complex Sequences  


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2, -5, 17, -56, 185, -611, 2018, -6665, 22013, -72704, 240125, -793079, 2619362, -8651165, 28572857, -94369736, 311682065, -1029415931, 3399929858, -11229205505, 37087546373, -122491844624, ...

MCS1735808 : A0 = 1; A1 = 2; AN = - 3 AN-1 + AN-2 (score: 5)

Horadam sequence Wn(1, 2; 1, -3)

2, -5, 17, -81, 468, -3196, 25099, -222696, 2201860, -23997765, 285771319, -3691029383, 51388640042, -767138571248, ...

MCS13709 : A0 = 0; A1 = 1; AK+1 = - K AK - AK-1 - 1 (score: 5)

2, -5, 18, -85, 492, -3359, 26380, -234061, 2314230, -25222469, 300355398, -3879397705, 54011212472, -806288789375, ...

MCS13453 : A0 = 0; A1 = 1; AK+1 = - K AK + AK - AK-1 (score: 5)

2, -5, 18, -85, 492, -3359, 26380, -234061, 2314230, -25222469, 300355398, -3879397705, 54011212472, -806288789375, ...

MCS3421718 : A0 = 1; A1 = 0; AK+1 = - K AK - AK-1 (score: 5)

2, -5, 18, -103, 806, -7957, 94678, -1317535, 20985882, -376428341, 7507580938, -164790352295, ...

MCS855392 : A0 = 1; A1 = 2; AK+1 = - 2 K AK - AK-1 (score: 5)

2, -5, 22, -107, 646, -4517, 36142, -325271, 3252718, -35779889, 429358678, -5581662803, 78143279254, ...

MCS31593 : A0 = 0; AK+1 = - K AK - AK + K - 1 (score: 5)

2, -5, 23, -119, 738, -5284, 43011, -392382, 3966832, -44027533, 532297229, -6963891509, 98026778356, ...

MCS13577 : A0 = 0; A1 = 1; AK+1 = - K AK + AK-1 + 1 (score: 5)

2, -5, -10, -18, -20, -26, -31, -44, -55, -69, -77, -89, -100, -119, -136, -156, -170, -188, -205, -230, -253, -279, -299, -323, -346, -377, -406, -438, -464, -494, -523, -560, -595, -633, -665, ...

MCS1576326 : A0 = 1; A1 = 1; A2 = 2; AK+1 = - AK-2 - K2 (score: 5)

2, -5, -11, 29, 76, -233, -685, 2329, 7534, -27949, -97943, 391285, 1469144, -6260561, -24975449, 112690097, 474533530, -2253801941, -9965204131, 49583642701, 229199695012, ...

MCS876597 : A0 = 0; A1 = -1; AK+1 = - K AK-1 - 1 (score: 5)

2, -5, -11, 29, 76, -233, -685, 2329, 7534, -27949, -97943, 391285, 1469144, -6260561, -24975449, 112690097, 474533530, -2253801941, -9965204131, 49583642701, 229199695012, ...

MCS877069 : A0 = 0; A1 = 0; AK+1 = - K AK-1 + AK-1 - 1 (score: 5)

2, -5, -12, 8, 28, -33, -94, 88, 270, -277, -824, 816, 2456, -2465, -7386, 7376, 22138, -22149, -66436, 66424, 199284, -199297, -597878, 597864, 1793606, -1793621, -5380848, 5380832, 16142512, ...

MCS1718209 : A0 = 0; A1 = 0; AK+1 = - 3 AK-1 - K (score: 5)

2, -6, 8, -4, -8, 24, -32, 16, 32, -96, 128, -64, -128, 384, -512, 256, 512, -1536, 2048, -1024, -2048, 6144, -8192, 4096, 8192, -24576, 32768, -16384, -32768, 98304, -131072, 65536, 131072, ...

MCS3453632 : A0 = 1; A1 = 2; AN = - 2 AN-1 - 2 AN-2 (score: 5)

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

2, -6, 8, -13, 14, -20, 20, -27, 26, -34, 32, -41, 38, -48, 44, -55, 50, -62, 56, -69, 62, -76, 68, -83, 74, -90, 80, -97, 86, -104, 92, -111, 98, -118, 104, -125, 110, -132, 116, -139, 122, -146, ...

MCS3454656 : A0 = 1; A1 = 2; AK+1 = - 2 AK - AK-1 - K (score: 5)

2, -6, 8, -22, 36, -82, 152, -318, 620, -1258, 2496, -5014, 10004, -20034, 40040, -80110, 160188, -320410, 640784, -1281606, 2563172, -5126386, 10252728, -20505502, 41010956, -82021962, 164043872, ...

MCS994657 : A0 = -1; AK+1 = - 2 AK - 2 K (score: 5)

2, -6, 9, -13, 16, -20, 23, -27, 30, -34, 37, -41, 44, -48, 51, -55, 58, -62, 65, -69, 72, -76, 79, -83, 86, -90, 93, -97, 100, -104, 107, -111, 114, -118, 121, -125, 128, -132, 135, -139, 142, ...

MCS3517632 : A0 = 1; A1 = 2; AN = - 2 AN-1 - AN-2 - 1 (score: 5)

2, -6, -4, 40, -12, -308, 416, 2664, -7240, -24728, 118848, 227344, -2010064, -1627440, 35798528, -6504608, -673667424, 803759584, 13343256320, -31025967168, -275868928192, ...

MCS3457238 : A0 = 1; A1 = 0; AK+1 = - AK - K AK-1 (score: 5)

2, -6, 10, -22, 42, -86, 170, -342, 682, -1366, 2730, -5462, 10922, -21846, 43690, -87382, 174762, -349526, 699050, -1398102, 2796202, -5592406, 11184810, -22369622, 44739242, -89478486, ...

MCS7861 (alias MCS864897, MCS1006273, MCS2012546)

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

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

2, -6, 13, -44, 121, -430, 1397, -5268, 19237, -77186, 308029, -1311448, 5623853, -25295574, 115277221, -545301980, 2620291957, -12981029578, 65386868717, -337988489856, ...

MCS3518502 : A0 = 1; A1 = 1; AK+1 = - AK + K AK-1 - 1 (score: 5)

2, -6, 17, -53, 156, -472, 1411, -4239, 12710, -38138, 114405, -343225, 1029664, -3089004, 9266999, -27801011, 83403018, -250209070, 750627193, -2251881597, 6755644772, -20266934336, 60800802987, ...

MCS999106 : A0 = 2; AK+1 = - 3 AK - K (score: 5)

2, -6, 18, -54, 162, -486, 1458, -4374, 13122, -39366, 118098, -354294, 1062882, -3188646, 9565938, -28697814, 86093442, -258280326, 774840978, -2324522934, 6973568802, -20920706406, 62762119218, ...

MCS249730 : A0 = 2; AN = - 3 AN-1 (score: 4)

2, -6, 19, -55, 168, -500, 1505, -4509, 13534, -40594, 121791, -365363, 1096100, -3288288, 9864877, -29594617, 88783866, -266351582, 799054763, -2397164271, 7191492832, -21574478476, 64723435449, ...

MCS999042 : A0 = 2; AK+1 = - 3 AK + K (score: 5)

2, -6, 24, -120, 720, -5040, 40320, -362880, 3628800, -39916800, 479001600, -6227020800, 87178291200, ...

MCS31128 : A0 = 1; AK+1 = - K AK - AK (score: 3)

2, -6, 24, -120, 720, -5040, 40320, -362880, 3628800, -39916800, 479001600, -6227020800, 87178291200, ...

MCS248625 : A0 = -1; AK+1 = - K AK - 2 AK (score: 5)

2, -6, 32, -190, 1332, -10654, 95888, -958878, 10547660, -126571918, 1645434936, -23036089102, 345541336532, ...

MCS251288 (alias MCS853542) : A0 = 1; AK+1 = - K AK - AK + 2 (score: 5)

2, -7, 4, -14, 12, -26, 29, -53, 66, -109, 147, -229, 321, -486, 696, -1037, 1502, -2220, 3234, -4760, 6955, -10215, 14948, -21931, 32117, -47095, 68995, -101144, 148206, -217235, 318344, -466586, ...

MCS814129 : A0 = 0; A1 = 1; A2 = 1; AK+1 = - AK - AK-2 - K (score: 5)

2, -7, 6, -27, 30, -95, 142, -347, 614, -1327, 2534, -5211, 10254, -20703, 41182, -82619, 164950, -330223, 660086, -1320571, 2640702, -5281887, 10563246, -21127067, 42253510, -84507695, 169014662, ...

MCS501132 : A0 = 1; AK+1 = - 2 AK - K2 + 1 (score: 5)

2, -7, 7, -16, 21, -39, 58, -99, 155, -256, 409, -667, 1074, -1743, 2815, -4560, 7373, -11935, 19306, -31243, 50547, -81792, 132337, -214131, 346466, -560599, 907063, -1467664, 2374725, -3842391, ...

MCS13676 : A0 = 0; A1 = 1; AN = - AN-1 + AN-2 - 2 (score: 5)

2, -7, 19, -50, 131, -343, 898, -2351, 6155, -16114, 42187, -110447, 289154, -757015, 1981891, -5188658, 13584083, -35563591, 93106690, -243756479, 638162747, -1670731762, 4374032539, ...

MCS1735872 : A0 = 1; A1 = 2; AN = - 3 AN-1 - AN-2 (score: 5)

Horadam sequence Wn(1, 2; -1, -3)

2, -7, 20, -61, 182, -547, 1640, -4921, 14762, -44287, 132860, -398581, 1195742, -3587227, 10761680, -32285041, 96855122, -290565367, 871696100, -2615088301, 7845264902, -23535794707, 70607384120, ...

MCS3951 (alias MCS505793, MCS1011586) : A0 = 0; AN = - 3 AN-1 - 1 (score: 4)

2, -7, 30, -157, 972, -6961, 56660, -516901, 5225670, -57999271, 701216922, -9173819257, 129134686520, ...

MCS427201 : A0 = -1; A1 = 0; AK+1 = - K AK + AK-1 (score: 5)

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

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

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

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

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

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

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

MCS496216 : A0 = 1; AK+1 = - 2 K AK + AK + 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; AN = - AN-1 + AN-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; AK+1 = - 2 AK - 2 K (score: 4)

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

MCS31449 : A0 = 0; AK+1 = - K AK - AK - 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; AN = - 4 AN-1 (score: 5)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 : AK = 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; AK+1 = AK + 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; AK+1 = AK + 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 : AK = 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; AK+1 = 2 AK + 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; AK+1 = 3 AK + 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; AK+1 = AK + K3 (score: 4)

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

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

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

MCS7754 : A0 = 0; AK+1 = K AK + AK + 2 K (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; AN = - 3 AN-2 - 1 (score: 5)

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; AK+1 = - 2 AK-1 + K2 (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 : AK = 3 K2 - 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; AK+1 = - K AK-1 - 1 (score: 4)

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

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

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

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

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

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

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

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

MCS249128 : A0 = 1; AK+1 = 2 K AK - AK + K (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; AK+1 = - AK + 2 K3 (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; AK+1 = - K AK-1 - K - 1 (score: 5)

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 : AK = 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; AK+1 = AK + 2 K3 (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; AK+1 = - AK + AK-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; AK+1 = - 2 AK - 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; AK+1 = - AK + K AK-1 (score: 5)

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

MCS31429 (alias MCS502872) : A0 = 0; AK+1 = - 2 K AK - 2 (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; AK+1 = - AK + K AK-1 - K (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; AK+1 = - 4 AK - K (score: 5)

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

MCS31589 (alias MCS504920) : A0 = 0; AK+1 = - 2 K AK - AK - 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; AK+1 = - 2 AK - 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; AK+1 = - 3 AK - 2 K (score: 5)

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

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

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

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

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

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

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

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

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

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

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

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

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; AK+1 = - AK + AK-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; AK+1 = - AK + 2 AK-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; AK+1 = - 3 AK - 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; AK+1 = - AK + AK-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; AK+1 = - 2 AK - 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; AK+1 = K AK (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; AN = AN-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; AN = AN-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; AK+1 = - AK - AK-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; AN = 3 AN-3 (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; AN = - AN-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, ...

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

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

MCS123491 : A0 = 3; AK+1 = - K AK + 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; AN = AN-3 (score: 4)

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

MCS123459 : A0 = 3; AK+1 = K AK + 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; AK+1 = - AK-1 + K2 (score: 5)

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

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; AN = 2 AN-3 (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; AN = AN-2 - 1 (score: 4)

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; AN = AN-2 - AN-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; AN = - AN-1 + 3 (score: 4)

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

3, 0, 3, 0, 9, 0, 45, 0, 315, 0, 2835, 0, 31185, 0, 405405, 0, 6081075, 0, 103378275, 0, 1964187225, 0, 41247931725, 0, 948702429675, 0, ...

MCS855076 : A0 = 1; A1 = 3; AK+1 = K AK-1 - AK-1 (score: 5)

3, 0, 3, -6, 27, -132, 795, -5562, 44499, -400488, 4004883, -44053710, 528644523, -6872378796, 96213303147, ...

MCS3953 (alias MCS63256) : A0 = 0; AK+1 = - K AK + 3 (score: 5)

3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 8, 5, 9, 6, 10, 7, 11, 8, 12, 9, 13, 10, 14, 11, 15, 12, 16, 13, 17, 14, 18, 15, 19, 16, 20, 17, 21, 18, 22, 19, 23, 20, 24, 21, 25, 22, 26, 23, 27, 24, 28, 25, 29, ...

MCS502593 : A0 = -1; AK+1 = - AK + K + 2 (score: 5)

3, 0, 4, -3, 12, -20, 66, -147, 520, -1332, 5190, -14663, 62268, -190632, 871738, -2859495, 13947792, -48611432, 251060238, -923617227, 5021204740, -19395961788, 110466504258, -446107121147, ...

MCS858148 : A0 = 1; A1 = 3; AK+1 = K AK-1 - K (score: 5)

3, 0, 5, 2, 7, 4, 9, 6, 11, 8, 13, 10, 15, 12, 17, 14, 19, 16, 21, 18, 23, 20, 25, 22, 27, 24, 29, 26, 31, 28, 33, 30, 35, 32, 37, 34, 39, 36, 41, 38, 43, 40, 45, 42, 47, 44, 49, 46, 51, 48, 53, ...

MCS252752 : A0 = 1; AK+1 = - AK + 2 K - 1 (score: 4)

3, 0, 5, -1, 19, -6, 113, -43, 903, -388, 9029, -4269, 108347, -55498, 1516857, -832471, 24269711, -14152008, 436854797, -268888153, 8737095939, -5646651214, 192216110657, -129872977923, ...

MCS876580 : A0 = 1; A1 = 3; AK+1 = K AK-1 - 1 (score: 5)

3, 0, 6, 0, 12, 0, 24, 0, 48, 0, 96, 0, 192, 0, 384, 0, 768, 0, 1536, 0, 3072, 0, 6144, 0, 12288, 0, 24576, 0, 49152, 0, 98304, 0, 196608, 0, 393216, 0, 786432, 0, 1572864, 0, 3145728, 0, 6291456, ...

MCS213634 : A0 = 0; A1 = 3; AN = 2 AN-2 (score: 5)

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


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