Minimally Complex Sequences  


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3, 12, 33, 72, 135, 228, 357, 528, 747, 1020, 1353, 1752, 2223, 2772, 3405, 4128, 4947, 5868, 6897, 8040, 9303, 10692, 12213, 13872, 15675, 17628, 19737, 22008, 24447, 27060, 29853, 32832, 36003, ...

MCS7060 : AK = K3 + 2 K (score: 5)

3, 12, 33, 78, 171, 360, 741, 1506, 3039, 6108, 12249, 24534, 49107, 98256, 196557, 393162, 786375, 1572804, 3145665, 6291390, 12582843, 25165752, 50331573, 100663218, 201326511, 402653100, ...

MCS3883 : A0 = 0; AK+1 = 2 AK + 3 K (score: 5)

3, 12, 39, 120, 363, 1092, 3279, 9840, 29523, 88572, 265719, 797160, 2391483, 7174452, 21523359, 64570080, 193710243, 581130732, 1743392199, 5230176600, 15690529803, 47071589412, 141214768239, ...

MCS27643777 : A0 = -1; A1 = 0; AN = 4 AN-1 - 3 AN-2 (score: 9)

Weighing problem numbers (3N-3)/2

3, 12, 39, 120, 363, 1092, 3279, 9840, 29523, 88572, 265719, 797160, 2391483, 7174452, 21523359, 64570080, 193710243, 581130732, 1743392199, 5230176600, 15690529803, 47071589412, 141214768239, ...

MCS1979 (alias MCS253377) : A0 = 0; AN = 3 AN-1 + 3 (score: 6)

Weighing problem numbers (3N-3)/2

3, 12, 40, 105, 231, 448, 792, 1305, 2035, 3036, 4368, 6097, 8295, 11040, 14416, 18513, 23427, 29260, 36120, 44121, 53383, 64032, 76200, 90025, 105651, 123228, 142912, 164865, 189255, 216256, ...

MCS15648 : A0 = 0; AK+1 = AK + K3 + 1 (score: 5)

3, 12, 45, 171, 648, 2457, 9315, 35316, 133893, 507627, 1924560, 7296561, 27663363, 104879772, 397629405, 1507527531, 5715470808, 21668995017, 82153397475, 311467177476, ...

MCS6771 : A0 = 0; A1 = 1; AN = 3 AN-1 + 3 AN-2 (score: 7)

Horadam sequence Wn(0, 1; 3, 3), Lucas sequence Un(3, -3)

3, 12, 45, 192, 975, 5868, 41097, 328800, 2959227, 29592300, 325515333, 3906184032, 50780392455, 710925494412, ...

MCS1934 (alias MCS61904) : A0 = 0; AK+1 = K AK + 3 K (score: 5)

3, 12, 60, 360, 2520, 20160, 181440, 1814400, 19958400, 239500800, 3113510400, 43589145600, 653837184000, ...

MCS62352 : A0 = 1; AK+1 = K AK + 3 AK (score: 5)

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

MCS858166 : A0 = 1; A1 = 1; AK+1 = - K AK-1 - K (score: 4)

3, 12, -35, -150, 483, 2392, -8703, -47850, 191455, 1148388, -4977843, -32154878, 149335275, 1028956080, -5077399367, -37042418898, 192941175927, ...

MCS858157 : A0 = 0; A1 = 0; AK+1 = - 2 K AK-1 - K (score: 5)

3, 13, 19, 13, -13, -51, -77, -51, 51, 205, 307, 205, -205, -819, -1229, -819, 819, 3277, 4915, 3277, -3277, -13107, -19661, -13107, 13107, 52429, 78643, 52429, -52429, -209715, -314573, -209715, ...

MCS802993 (alias MCS1605985, MCS25695798) : A0 = 0; A1 = 1; A2 = 1; AN = AN-1 - 2 AN-3 (score: 5)

3, 13, 34, 70, 125, 203, 308, 444, 615, 825, 1078, 1378, 1729, 2135, 2600, 3128, 3723, 4389, 5130, 5950, 6853, 7843, 8924, 10100, 11375, 12753, 14238, 15834, 17545, 19375, 21328, 23408, 25619, ...

MCS31010 : A0 = 0; AK+1 = AK + 2 K2 + K (score: 5)

3, 13, 41, 87, 163, 269, 417, 607, 851, 1149, 1513, 1943, 2451, 3037, 3713, 4479, 5347, 6317, 7401, 8599, 9923, 11373, 12961, 14687, 16563, 18589, 20777, 23127, 25651, 28349, 31233, 34303, 37571, ...

MCS62218 : A0 = 1; AK+1 = - AK + 2 K3 (score: 5)

3, 13, 43, 111, 241, 463, 813, 1333, 2071, 3081, 4423, 6163, 8373, 11131, 14521, 18633, 23563, 29413, 36291, 44311, 53593, 64263, 76453, 90301, 105951, 123553, 143263, 165243, 189661, 216691, ...

MCS124036 : A0 = 1; AK+1 = AK + K3 + K (score: 5)

3, 13, 61, 321, 1951, 13693, 109593, 986401, 9864091, 108505101, 1302061333, 16926797473, 236975164791, ...

MCS123976 : A0 = 1; AK+1 = K AK + AK + K2 (score: 5)

3, 13, 79, 633, 6331, 75973, 1063623, 17017969, 306323443, 6126468861, 134782314943, ...

MCS3906 (alias MCS62504, MCS125009) : A0 = 0; AK+1 = 2 K AK + 1 (score: 4)

3, 13, 81, 661, 6691, 80953, 1140033, 18321481, 330926691, 6636855301, 146341743313, ...

MCS1708678 : A0 = 1; A1 = 1; AK+1 = 2 K AK + AK-1 (score: 5)

3, 14, 63, 324, 1955, 13698, 109599, 986408, 9864099, 108505110, 1302061343, 16926797484, 236975164803, ...

MCS7882 (alias MCS252240) : A0 = 0; AK+1 = K AK + 2 K - 1 (score: 5)

3, 15, 42, 90, 165, 273, 420, 612, 855, 1155, 1518, 1950, 2457, 3045, 3720, 4488, 5355, 6327, 7410, 8610, 9933, 11385, 12972, 14700, 16575, 18603, 20790, 23142, 25665, 28365, 31248, 34320, 37587, ...

MCS7747 : A0 = 0; AK+1 = AK + 3 K2 (score: 5)

3, 15, 105, 945, 10395, 135135, 2027025, 34459425, 654729075, 13749310575, 316234143225, ...

MCS61992 : A0 = 1; AK+1 = 2 K AK + AK (score: 4)

Odd semifactorials (A1147)

3, 15, 105, 945, 10395, 135135, 2027025, 34459425, 654729075, 13749310575, 316234143225, ...

MCS124497 : A0 = -1; AK+1 = 2 K AK - AK (score: 5)

Odd semifactorials (A1147)

3, 16, -25, -108, 161, 848, -1467, -8500, 16115, 101976, -209521, -1427692, 3142785, 22843040, -53427379, -411174756, 1015120163, 8223495080, -21317523465, -180916891804, 490303039649, ...

MCS3430454 : A0 = 1; A1 = 1; AK+1 = - K AK-1 - 2 K (score: 5)

3, 17, 55, 129, 251, 433, 687, 1025, 1459, 2001, 2663, 3457, 4395, 5489, 6751, 8193, 9827, 11665, 13719, 16001, 18523, 21297, 24335, 27649, 31251, 35153, 39367, 43905, 48779, 54001, 59583, 65537, ...

MCS14146 : AK = 2 K3 + 1 (score: 5)

3, 17, 133, 1313, 15623, 217409, 3462921, 62115169, 1238840459, 27192374929, 651378157837, ...

MCS1710726 : A0 = 1; A1 = 1; AK+1 = 2 K AK - AK-1 (score: 5)

3, 18, 57, 132, 255, 438, 693, 1032, 1467, 2010, 2673, 3468, 4407, 5502, 6765, 8208, 9843, 11682, 13737, 16020, 18543, 21318, 24357, 27672, 31275, 35178, 39393, 43932, 48807, 54030, 59613, 65568, ...

MCS14114 : AK = 2 K3 + K (score: 5)

3, 19, 73, 201, 451, 883, 1569, 2593, 4051, 6051, 8713, 12169, 16563, 22051, 28801, 36993, 46819, 58483, 72201, 88201, 106723, 128019, 152353, 180001, 211251, 246403, 285769, 329673, 378451, ...

MCS61962 : A0 = 1; AK+1 = AK + 2 K3 (score: 5)

3, 19, -19, -134, 151, 1205, -1511, -13256, 18131, 172327, -253835, -2584906, 4061359, 43943401, -73104463, -834924620, 1462089259, 17533417019, -32165963699, -403268591438, 771983128775, ...

MCS109665 : A0 = 0; A1 = 1; AK+1 = - K AK-1 - AK-1 - 1 (score: 5)

3, 24, 81, 192, 375, 648, 1029, 1536, 2187, 3000, 3993, 5184, 6591, 8232, 10125, 12288, 14739, 17496, 20577, 24000, 27783, 31944, 36501, 41472, 46875, 52728, 59049, 65856, 73167, 81000, 89373, ...

MCS3523 : AK = 3 K3 (score: 5)

3, 42, 63, -210, -987, 126, 11109, 20706, -103005, -495894, 553287, 9040878, 8675877, -145384050, -455609763, 1996461474, 13560727971, -16800696486, -345498136305, -287779556946, ...

MCS1724470 : A0 = 1; A1 = 1; AK+1 = 2 AK - K AK-1 (score: 5)

3, 44, -35, -534, 483, 8536, -8703, -170730, 191455, 4097508, -4977843, -114730238, 149335275, 3671367600, -5077399367, -132169233618, 192941175927, ...

MCS107269 : A0 = 0; A1 = 1; AK+1 = - 2 K AK-1 - K (score: 5)

3, -10, 11, -38, 51, -138, 227, -518, 955, -2010, 3899, -7942, 15715, -31626, 63027, -126310, 252331, -504986, 1009611, -2019622, 4038803, -8078090, 16155651, -32311878, 64623131, -129246938, ...

MCS124300 : A0 = 1; AK+1 = - 2 AK - K2 (score: 4)

3, -10, 21, -72, 197, -702, 2277, -8596, 31365, -125922, 502301, -2139288, 9171501, -41260822, 188004837, -889438812, 4273525877, -21172863306, 106643380845, -551273510272, ...

MCS54976 : A0 = 0; A1 = 1; AK+1 = - AK + K AK-1 - 1 (score: 5)

3, -10, 28, -87, 257, -776, 2322, -6973, 20911, -62742, 188216, -564659, 1693965, -5081908, 15245710, -45737145, 137211419, -411634274, 1234902804, -3704708431, 11114125273, -33342375840, ...

MCS499553 : A0 = -1; AK+1 = - 3 AK - K (score: 5)

3, -10, 39, -196, 1175, -8226, 65807, -592264, 5922639, -65149030, 781788359, -10163248668, 142285481351, ...

MCS126360 : A0 = 1; AK+1 = - K AK - AK - 1 (score: 4)

3, -10, 43, -225, 1393, -9976, 81201, -740785, 7489051, -83120346, 1004933203, -13147251985, 185066460993, ...

MCS3337 : A0 = 0; A1 = 1; AK+1 = - K AK + AK-1 (score: 4)

3, -10, 48, -277, 1892, -14858, 131831, -1303451, 14206131, -169170120, 2185005430, -30420905899, 454128583056, ...

MCS869217 : A0 = 0; A1 = 0; AK+1 = - K AK - AK-1 + 1 (score: 5)

3, -10, 63, -424, 3337, -29600, 292673, -3189792, 37984843, -490613154, 6830599327, -101968376736, ...

MCS13389 : A0 = 0; A1 = 1; AK+1 = - K AK - AK-1 + K (score: 5)

3, -11, 15, -39, 67, -147, 279, -575, 1131, -2283, 4543, -9111, 18195, -36419, 72807, -145647, 291259, -582555, 1165071, -2330183, 4660323, -9320691, 18641335, -37282719, 74565387, -149130827, ...

MCS62645 (alias MCS2021040) : A0 = 0; AK+1 = - 2 AK - 2 K + 1 (score: 5)

3, -11, 21, -58, 131, -327, 777, -1890, 4547, -10995, 26525, -64058, 154627, -373327, 901265, -2175874, 5252995, -12681883, 30616741, -73915386, 178447491, -430810391, 1040068249, -2510946914, ...

MCS13818374 : A0 = 1; A1 = 1; AK+1 = - 2 AK + AK-1 - K (score: 5)

3, -12, 45, -198, 1071, -6984, 53217, -462330, 4500243, -48454956, 571411269, -7321388382, 101249656695, ...

MCS26673 : A0 = 0; A1 = 1; AK+1 = - K AK - K AK-1 (score: 5)

3, -13, 51, -205, 819, -3277, 13107, -52429, 209715, -838861, 3355443, -13421773, 53687091, -214748365, 858993459, -3435973837, 13743895347, -54975581389, 219902325555, -879609302221, ...

MCS7895 : A0 = 0; AN = - 4 AN-1 - 1 (score: 5)

3, -13, 68, -421, 3015, -24541, 223884, -2263381, 25121075, -303716281, 3973432728, -55931774473, 842950049823, ...

MCS1708813 : A0 = -1; A1 = -1; AK+1 = - K AK + AK-1 (score: 5)

3, -14, 1, -66, 7, -230, 117, -746, 763, -2526, 3721, -9170, 16143, -35030, 66685, -137466, 270019, -545870, 1084881, -2177762, 4346263, -8703174, 17394181, -34802186, 69588747, -139195070, ...

MCS124294 : A0 = 1; AK+1 = - 2 AK - K3 (score: 5)

3, -14, 11, -32, 35, -76, 101, -188, 277, -478, 741, -1234, 1959, -3210, 5151, -8380, 13511, -21912, 35401, -57336, 92713, -150074, 242761, -392862, 635595, -1028486, 1664051, -2692568, 4356587, ...

MCS3382 : A0 = 0; A1 = 1; AK+1 = - AK + AK-1 - K (score: 4)

3, -14, 55, -294, 1813, -12992, 105741, -964670, 9752431, -108241422, 1308649483, -17120684714, 240998235465, ...

MCS13417 : A0 = 0; A1 = 1; AK+1 = - K AK + AK-1 - K (score: 5)

3, -14, 117, -1164, 13975, -195642, 3130281, -56345048, 1126900971, -24791821350, 595003712413, ...

MCS31269 (alias MCS500312) : A0 = 0; AK+1 = - 2 K AK + K + 1 (score: 5)

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

MCS124504 : A0 = 1; AK+1 = - 2 K AK - AK (score: 4)

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

MCS123992 : A0 = 1; AK+1 = - 2 K AK + AK (score: 4)

3, -19, 14, -42, 46, -99, 133, -245, 364, -624, 972, -1613, 2567, -4199, 6746, -10966, 17690, -28679, 46345, -75049, 121368, -196444, 317784, -514257, 832011, -1346299, 2178278, -3524610, 5702854, ...

MCS3463686 : A0 = 1; A1 = 1; AK+1 = - AK + AK-1 - K (score: 4)

3, -19, 23, -63, 107, -235, 447, -919, 1811, -3651, 7271, -14575, 29115, -58267, 116495, -233031, 466019, -932083, 1864119, -3728287, 7456523, -14913099, 29826143, -59652343, 119304627, ...

MCS63157 : A0 = 0; AK+1 = - 2 AK - 2 K - 1 (score: 5)

3, -21, 17, -148, 135, -1333, 1349, -14664, 16187, -190633, 226617, -2859496, 3625871, -48611433, 65265677, -923617228, 1305313539, -19395961789, 28716897857, -446107121148, 689205548567, ...

MCS13696 : A0 = 0; A1 = 1; AK+1 = K AK-1 - 1 (score: 4)

3, -24, 41, -210, 537, -2428, 7797, -34506, 128069, -576648, 2369613, -11019334, 48933141, -236261820, 1117058357, -5606032938, 27947200077, -145673891776, 760512293469, ...

MCS879625 : A0 = 0; A1 = 0; AK+1 = - AK + K AK-1 - 1 (score: 5)

3, -24, 212, -2337, 30375, -455632, 7745736, -147168993, 3090548843, -71082623400, ...

MCS31157 : A0 = 0; AK+1 = - 2 K AK - AK - K (score: 5)

3, -51, 257, -1863, 14823, -133507, 1334949, -14684583, 176214827, -2290792947, 32071101033, -481066515751, ...

MCS15501 (alias MCS124012) : A0 = 0; AK+1 = - K AK + AK - K2 (score: 5)

3, -199, 215, -2015, 4155, -26331, 76179, -418495, 1484987, -7762427, 31522203, -163483479, 730883115, -3837069235, 18454731515, -99033185471, 505037278779, ...

MCS865801 : A0 = 0; A1 = 0; AK+1 = - AK + K AK-1 - K (score: 5)

4, 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, ...

MCS123147 (alias MCS123275) : A0 = 4; AK+1 = K AK (score: 5)

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

MCS393569 (alias MCS787141, MCS25188566) : A0 = 0; A1 = 0; A2 = 1; AN = - 2 AN-3 (score: 4)

4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, 0, 1, 4, ...

MCS98370 : A0 = 0; A1 = 1; A2 = 4; AN = AN-3 (score: 5)

4, 0, 2, -3, -2, -8, -8, -15, -16, -24, -26, -35, -38, -48, -52, -63, -68, -80, -86, -99, -106, -120, -128, -143, -152, -168, -178, -195, -206, -224, -236, -255, -268, -288, -302, -323, -338, ...

MCS1717258 : A0 = 1; A1 = 4; AK+1 = AK-1 - K (score: 5)

4, 0, 3, -1, 2, -2, 1, -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, ...

MCS1754122 : A0 = 1; A1 = 4; AN = AN-2 - 1 (score: 5)

4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, ...

MCS3933 (alias MCS106755) : A0 = 0; AN = - AN-1 + 4 (score: 5)

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

4, 0, 4, -8, 0, -8, 16, 0, 16, -32, 0, -32, 64, 0, 64, -128, 0, -128, 256, 0, 256, -512, 0, -512, 1024, 0, 1024, -2048, 0, -2048, 4096, 0, 4096, -8192, 0, -8192, 16384, 0, 16384, -32768, 0, ...

MCS6297110 : A0 = 1; A1 = 0; A2 = 1; AN = - 2 AN-3 (score: 5)

4, 0, 9, -3, 19, -14, 42, -46, 99, -133, 245, -364, 624, -972, 1613, -2567, 4199, -6746, 10966, -17690, 28679, -46345, 75049, -121368, 196444, -317784, 514257, -832011, 1346299, -2178278, 3524610, ...

MCS6923277 : A0 = -1; A1 = -1; AK+1 = - AK + AK-1 + K (score: 5)

4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, 1, 4, 0, -1, -4, 0, ...

MCS98402 : A0 = 0; A1 = 1; A2 = 4; AN = - AN-3 (score: 5)

4, 0, -2, 3, 6, 2, 0, 5, 8, 4, 2, 7, 10, 6, 4, 9, 12, 8, 6, 11, 14, 10, 8, 13, 16, 12, 10, 15, 18, 14, 12, 17, 20, 16, 14, 19, 22, 18, 16, 21, 24, 20, 18, 23, 26, 22, 20, 25, 28, 24, 22, 27, 30, ...

MCS1713674 : A0 = 1; A1 = 4; AK+1 = - AK-1 + K (score: 5)

4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, 4, 0, -3, 1, ...

MCS1738250 : A0 = 1; A1 = 4; AN = - AN-2 + 1 (score: 5)

4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, 4, 0, -4, 0, ...

MCS106883 : A0 = 0; A1 = 4; AN = - AN-2 (score: 5)

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

4, 0, -8, 0, 16, 0, -32, 0, 64, 0, -128, 0, 256, 0, -512, 0, 1024, 0, -2048, 0, 4096, 0, -8192, 0, 16384, 0, -32768, 0, 65536, 0, -131072, 0, 262144, 0, -524288, 0, 1048576, 0, -2097152, 0, ...

MCS1669 (alias MCS3419158) : A0 = 0; A1 = 1; AN = - 2 AN-2 (score: 3)

A77966

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

4, 0, 16, 0, 64, 0, 256, 0, 1024, 0, 4096, 0, 16384, 0, 65536, 0, 262144, 0, 1048576, 0, 4194304, 0, 16777216, 0, 67108864, 0, 268435456, 0, 1073741824, 0, 4294967296, 0, 17179869184, 0, ...

MCS3339 : A0 = 0; A1 = 1; AN = 4 AN-2 (score: 5)

A199572

Horadam sequence Wn(0, 1; 4, 0), Lucas sequence Un(0, -4)

4, 0, 24, 0, 192, 0, 1920, 0, 23040, 0, 322560, 0, 5160960, 0, 92897280, 0, 1857945600, 0, 40874803200, 0, 980995276800, 0, ...

MCS26704 : A0 = 0; A1 = 1; AK+1 = K AK-1 + 2 AK-1 (score: 5)

4, 0, 32, 0, 384, 0, 6144, 0, 122880, 0, 2949120, 0, 82575360, 0, 2642411520, 0, 95126814720, 0, ...

MCS13314 : A0 = 0; A1 = 1; AK+1 = 2 K AK-1 (score: 4)

4, 0, -10, -12, 1, 12, 0, -25, -25, 11, 35, -2, -63, -51, 46, 94, -16, -162, -101, 154, 238, -79, -419, -187, 469, 576, -313, -1077, -296, 1356, 1338, -1096, -2731, -280, 3788, 2971, -3549, -6801, ...

MCS25609782 : A0 = 1; A1 = 1; A2 = 1; AK+1 = - AK-1 - AK-2 - K (score: 5)

4, 0, -12, 5, 78, -28, -616, 261, 6170, -2860, -74028, 37193, 1036406, -557880, -16582480, 9483977, 298484658, -180195544, -5969693140, 3784106445, 131333249102, -87034448212, ...

MCS856117 : A0 = 0; A1 = -1; AK+1 = - K AK-1 + K (score: 5)

4, 0, -20, 20, 120, -280, -800, 3600, 5200, -48400, -19200, 696800, -408800, -10740000, 17689600, 175630400, -511732800, -3000875200, 13747264000, 52271990400, -368459062400, -886068707200, ...

MCS27009 : A0 = 0; A1 = 1; AK+1 = - AK - K AK-1 (score: 4)

4, 0, -20, -20, 120, 280, -800, -3600, 5200, 48400, -19200, -696800, -408800, 10740000, 17689600, -175630400, -511732800, 3000875200, 13747264000, -52271990400, -368459062400, 886068707200, ...

MCS860213 : A0 = 0; A1 = -1; AK+1 = AK - K AK-1 (score: 5)

4, 0, -32, 0, 384, 0, -6144, 0, 122880, 0, -2949120, 0, 82575360, 0, -2642411520, 0, 95126814720, 0, ...

MCS852149 : A0 = 0; A1 = -1; AK+1 = - 2 K AK-1 (score: 5)

4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 4, ...

MCS3147862 : A0 = 1; A1 = 1; A2 = 4; AN = AN-3 (score: 5)

4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, 4, 1, ...

MCS427018 : A0 = 1; A1 = 4; AN = AN-2 (score: 4)

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

4, 1, 7, 4, 10, 7, 13, 10, 16, 13, 19, 16, 22, 19, 25, 22, 28, 25, 31, 28, 34, 31, 37, 34, 40, 37, 43, 40, 46, 43, 49, 46, 52, 49, 55, 52, 58, 55, 61, 58, 64, 61, 67, 64, 70, 67, 73, 70, 76, 73, ...

MCS252784 : A0 = 1; AK+1 = - AK + 3 K - 1 (score: 5)

4, 1, 8, 3, 32, 15, 192, 105, 1536, 945, 15360, 10395, 184320, 135135, 2580480, 2027025, 41287680, 34459425, 743178240, 654729075, 14863564800, 13749310575, 326998425600, 316234143225, ...

MCS426058 : A0 = 1; A1 = 4; AK+1 = K AK-1 (score: 5)

4, 1, -4, 3, 14, 1, -20, 7, 50, -3, -88, 19, 190, -23, -364, 63, 746, -107, -1472, 235, 2966, -447, -5908, 919, 11842, -1811, -23656, 3651, 47342, -7271, -94652, 14575, 189338, -29115, -378640, ...

MCS3427077 : A0 = 0; A1 = -1; AK+1 = - 2 AK-1 + K (score: 5)

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, -2675, -4091, 1129, ...

MCS6342198 : A0 = 1; A1 = 1; A2 = 1; AN = - AN-2 - AN-3 (score: 4)

4, 1, -18, 31, 46, -309, 250, 2281, -7062, -10967, 106678, -70785, -1351922, 3765619, 14099514, -92214551, -69362150, 1890800769, -2394358538, -34918099073, 122512085982, 558092106715, ...

MCS3452982 : A0 = 1; A1 = 1; AK+1 = - 2 AK - K AK-1 (score: 5)

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, 20, 23, 21, 24, 22, 25, 23, 26, 24, 27, 25, 28, 26, 29, 27, ...

MCS1737738 : A0 = 1; A1 = 4; AN = AN-2 + 1 (score: 5)

4, 2, 6, 5, 10, 10, 16, 17, 24, 26, 34, 37, 46, 50, 60, 65, 76, 82, 94, 101, 114, 122, 136, 145, 160, 170, 186, 197, 214, 226, 244, 257, 276, 290, 310, 325, 346, 362, 384, 401, 424, 442, 466, 485, ...

MCS1713162 : A0 = 1; A1 = 4; AK+1 = AK-1 + K (score: 5)

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

MCS62320 : A0 = 1; AK+1 = - AK + 3 K (score: 4)

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

MCS854538 : A0 = 1; A1 = 4; AN = 2 AN-2 (score: 5)

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

4, 2, -5, -7, 2, 11, 4, -14, -16, 9, 29, 6, -39, -36, 32, 74, 3, -107, -78, 103, 184, -26, -288, -159, 313, 446, -155, -760, -292, 914, 1051, -623, -1966, -429, 2588, 2394, -2160, -4983, -235, ...

MCS837169 : A0 = 0; A1 = 1; A2 = 1; AN = - AN-2 - AN-3 - 1 (score: 5)

4, 2, 11, -1, 30, -24, 93, -131, 328, -578, 1247, -2389, 4898, -9660, 19473, -38775, 77740, -155270, 310771, -621289, 1242854, -2485408, 4971141, -9941931, 19884240, -39768074, 79536583, ...

MCS1730881 : A0 = 0; A1 = 0; AK+1 = - AK + 2 AK-1 + K (score: 5)

4, 3, 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, ...

MCS14173 (alias MCS504843) : AK = - K + 4 (score: 5)

4, 3, 7, 6, 10, 9, 13, 12, 16, 15, 19, 18, 22, 21, 25, 24, 28, 27, 31, 30, 34, 33, 37, 36, 40, 39, 43, 42, 46, 45, 49, 48, 52, 51, 55, 54, 58, 57, 61, 60, 64, 63, 67, 66, 70, 69, 73, 72, 76, 75, ...

MCS250736 : A0 = 1; AK+1 = - AK + 3 K + 1 (score: 5)

4, 3, 9, 4, 17, 1, 32, -13, 65, -56, 145, -175, 348, -493, 873, -1332, 2241, -3535, 5816, -9309, 15169, -24432, 39649, -64031, 103732, -167709, 271497, -439148, 710705, -1149791, 1860560, ...

MCS6762 : A0 = 0; A1 = 1; AK+1 = - AK + AK-1 + 2 K (score: 5)

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

MCS1721866 : A0 = 1; A1 = 4; AN = AN-1 - AN-2 (score: 5)

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

4, 3, -2, 1, 12, 7, -14, -3, 40, 19, -66, -23, 148, 63, -278, -107, 576, 235, -1130, -447, 2284, 919, -4542, -1811, 9112, 3651, -18194, -7271, 36420, 14575, -72806, -29115, 145648, 58267, -291258, ...

MCS6693 (alias MCS13912838) : A0 = 0; A1 = 1; AK+1 = - 2 AK-1 + K (score: 4)

4, 3, -6, -11, 0, 23, 22, -23, -68, -21, 114, 157, -72, -385, -242, 529, 1012, -45, -2070, -1979, 2160, 6119, 1798, -10439, -14036, 6843, 34914, 21229, -48600, -91057, 6142, 188257, 175972, ...

MCS1585505 : A0 = 0; A1 = 0; A2 = 1; AN = - AN-2 - 2 AN-3 (score: 5)

4, 4, 0, -8, -8, 0, 16, 16, 0, -32, -32, 0, 64, 64, 0, -128, -128, 0, 256, 256, 0, -512, -512, 0, 1024, 1024, 0, -2048, -2048, 0, 4096, 4096, 0, -8192, -8192, 0, 16384, 16384, 0, -32768, -32768, ...

MCS196785 (alias MCS25188534) : A0 = 0; A1 = 1; A2 = 1; AN = - 2 AN-3 (score: 4)

4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, 4, 1, 4, ...

MCS3147882 : A0 = 1; A1 = 4; A2 = 4; AN = AN-3 (score: 5)

4, 4, 3, 1, -2, -6, -11, -17, -24, -32, -41, -51, -62, -74, -87, -101, -116, -132, -149, -167, -186, -206, -227, -249, -272, -296, -321, -347, -374, -402, -431, -461, -492, -524, -557, -591, -626, ...

MCS496395 : A0 = 4; AK+1 = AK - K (score: 5)

4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, ...

MCS1771 (alias MCS123915, MCS3416171) : AN = 4 (score: 4)

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

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

MCS6297142 : A0 = 1; A1 = 1; A2 = 1; AN = - 2 AN-3 (score: 4)

4, 4, 5, 7, 10, 14, 19, 25, 32, 40, 49, 59, 70, 82, 95, 109, 124, 140, 157, 175, 194, 214, 235, 257, 280, 304, 329, 355, 382, 410, 439, 469, 500, 532, 565, 599, 634, 670, 707, 745, 784, 824, 865, ...

MCS496139 : A0 = 4; AK+1 = AK + K (score: 5)

4, 4, 7, 7, 10, 10, 13, 13, 16, 16, 19, 19, 22, 22, 25, 25, 28, 28, 31, 31, 34, 34, 37, 37, 40, 40, 43, 43, 46, 46, 49, 49, 52, 52, 55, 55, 58, 58, 61, 61, 64, 64, 67, 67, 70, 70, 73, 73, 76, 76, ...

MCS1761798 : A0 = 1; A1 = 1; AN = AN-2 + 3 (score: 5)

4, 4, 8, 8, 12, 12, 16, 16, 20, 20, 24, 24, 28, 28, 32, 32, 36, 36, 40, 40, 44, 44, 48, 48, 52, 52, 56, 56, 60, 60, 64, 64, 68, 68, 72, 72, 76, 76, 80, 80, 84, 84, 88, 88, 92, 92, 96, 96, 100, ...

MCS7787 : A0 = 0; AK+1 = - AK + 4 K (score: 5)

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

MCS3148906 : A0 = 1; A1 = 4; A2 = 4; AN = - AN-3 (score: 5)

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

MCS3420267 : A0 = 4; A1 = 4; AN = - AN-2 (score: 5)

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

4, 4, -7, -12, 10, 31, -8, -72, -15, 152, 102, -289, -356, 476, 1001, -596, -2478, 191, 5552, 2096, -11295, -9744, 20494, 30783, -31244, -82060, 31705, 195364, 18650, -422433, -232664, 826216, ...

MCS1584225 : A0 = 0; A1 = 0; A2 = 1; AN = - 2 AN-2 - AN-3 (score: 5)

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, ...

MCS854790 : A0 = 1; A1 = 1; AN = - 2 AN-2 (score: 3)

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

4, 4, 10, 10, 22, 22, 46, 46, 94, 94, 190, 190, 382, 382, 766, 766, 1534, 1534, 3070, 3070, 6142, 6142, 12286, 12286, 24574, 24574, 49150, 49150, 98302, 98302, 196606, 196606, 393214, 393214, ...

MCS3491078 : A0 = 1; A1 = 1; AN = 2 AN-2 + 2 (score: 5)

4, 4, 11, 13, 22, 26, 37, 43, 56, 64, 79, 89, 106, 118, 137, 151, 172, 188, 211, 229, 254, 274, 301, 323, 352, 376, 407, 433, 466, 494, 529, 559, 596, 628, 667, 701, 742, 778, 821, 859, 904, 944, ...

MCS249160 : A0 = 1; AK+1 = - AK + K2 + 2 K (score: 5)

4, 4, 13, 13, 40, 40, 121, 121, 364, 364, 1093, 1093, 3280, 3280, 9841, 9841, 29524, 29524, 88573, 88573, 265720, 265720, 797161, 797161, 2391484, 2391484, 7174453, 7174453, 21523360, 21523360, ...

MCS3395 (alias MCS434625, MCS1738502) : A0 = 0; A1 = 1; AN = 3 AN-2 + 1 (score: 5)

4, 4, 16, 16, 64, 64, 256, 256, 1024, 1024, 4096, 4096, 16384, 16384, 65536, 65536, 262144, 262144, 1048576, 1048576, 4194304, 4194304, 16777216, 16777216, 67108864, 67108864, 268435456, ...

MCS1709830 : A0 = 1; A1 = 1; AN = 4 AN-2 (score: 5)

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

4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, 5, 1, 4, ...

MCS786954 : A0 = 1; A1 = 4; A2 = 5; AN = AN-3 (score: 5)

4, 5, 3, -2, -8, -12, -11, -4, 7, 17, 20, 12, -6, -27, -40, -35, -9, 30, 64, 72, 41, -24, -97, -139, -116, -20, 118, 233, 252, 133, -101, -354, -488, -388, -35, 452, 839, 873, 420, -420, -1294, ...

MCS1679457 : A0 = 0; A1 = 0; A2 = 1; AN = AN-1 - AN-3 - 1 (score: 5)

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

MCS854027 : A0 = 4; A1 = 5; AN = AN-2 (score: 5)

Horadam sequence Wn(4, 5; 1, 0)

4, 5, 4, 5, 8, 9, 8, 9, 12, 13, 12, 13, 16, 17, 16, 17, 20, 21, 20, 21, 24, 25, 24, 25, 28, 29, 28, 29, 32, 33, 32, 33, 36, 37, 36, 37, 40, 41, 40, 41, 44, 45, 44, 45, 48, 49, 48, 49, 52, 53, 52, ...

MCS6859798 (alias MCS54677) : A0 = 1; A1 = 0; AK+1 = - AK-1 + 2 K (score: 5)

4N and 4N+1, repeated

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, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, ...

MCS7086 (alias MCS500747) : AK = K + 4 (score: 5)

4, 5, 6, 10, 12, 14, 19, 22, 25, 31, 35, 39, 46, 51, 56, 64, 70, 76, 85, 92, 99, 109, 117, 125, 136, 145, 154, 166, 176, 186, 199, 210, 221, 235, 247, 259, 274, 287, 300, 316, 330, 344, 361, 376, ...

MCS26281014 : A0 = 1; A1 = 1; A2 = 1; AK+1 = AK-2 + K + 1 (score: 5)


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