Minimally Complex Sequences

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

MCS6657 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 (score: 3)

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

MCS3420374 : A₀ = 1; A₁ = 0; A_K+1 = - K A_K-1 - A_K-1 (score: 5)

8, 5, -12, -23, 0, 45, 44, -47, -136, -43, 228, 313, -144, -771, -484, 1057, 2024, -91, -4140, -3959, 4320, 12237, 3596, -20879, -28072, 13685, 69828, 42457, -97200, -182115, 12284, 376513, ...

MCS27461 : A₀ = 0; A₁ = 1; A_N = A_N-1 - 2 A_N-2 - 1 (score: 5)

8, 5, -84, -84, 608, 675, -6180, -7546, 74016, 97929, -1036420, -1469160, 16582464, 24975431, -298484676, -474533550, 5969693120, 9965204109, -131333249124, -229199695036, ...

MCS26649 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - K² (score: 5)

8, -9, -32, 85, 138, -819, -424, 8613, -3950, -99407, 150756, 1240941, -3502282, -16352775, 75891568, 218458381, -1660398174, -2708769447, 37577131100, 22015796733, -886289812034, 357910690441, ...

MCS3518518 : A₀ = 1; A₁ = 1; A_K+1 = - A_K - K A_K-1 - 1 (score: 5)

8, -10, -60, 56, 464, -522, -4660, 5720, 55896, -74386, -782572, 1115760, 12521120, -18967954, -225380196, 360391088, 4507603880, -7568212890, -99167285404, 174068896424, ...

MCS857613 : A₀ = 0; A₁ = 0; A_K+1 = - K A_K-1 - 2 K (score: 5)

8, -10, -84, 21, 608, -270, -6180, 2849, 74016, -37206, -1036420, 557865, 16582464, -9483994, -298484676, 180195525, 5969693120, -3784106466, -131333249124, 87034448189, ...

MCS852790 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 - K² (score: 5)

8, -14, -36, 6, 48, -38, -124, 46, 216, -126, -468, 214, 896, -470, -1836, 894, 3624, -1838, -7300, 3622, 14544, -7302, -29148, 14542, 58232, -29150, -116532, 58230, 232992, -116534, -466060, ...

MCS3431105 : A₀ = 0; A₁ = 0; A_K+1 = - 2 A_K-1 - 2 K (score: 5)

8, 15, -48, -105, 384, 945, -3840, -10395, 46080, 135135, -645120, -2027025, 10321920, 34459425, -185794560, -654729075, 3715891200, 13749310575, -81749606400, -316234143225, ...

MCS426089 : A₀ = -1; A₁ = 1; A_K+1 = - K A_K-1 (score: 5)

8, 15, -48, -105, 384, 945, -3840, -10395, 46080, 135135, -645120, -2027025, 10321920, 34459425, -185794560, -654729075, 3715891200, 13749310575, -81749606400, -316234143225, ...

MCS855094 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 - A_K-1 (score: 4)

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, 0, ...

MCS107927 : 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)

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

MCS6900486 : A₀ = 1; A₁ = 1; A_N = 2 A_N-1 - 2 A_N-2 (score: 5)

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

8, 19, 45, 80, 136, 207, 305, 424, 576, 755, 973, 1224, 1520, 1855, 2241, 2672, 3160, 3699, 4301, 4960, 5688, 6479, 7345, 8280, 9296, 10387, 11565, 12824, 14176, 15615, 17153, 18784, 20520, 22355, ...

MCS62217 : A₀ = -1; A_K+1 = - A_K + K³ (score: 5)

8, 20, 45, 81, 136, 208, 305, 425, 576, 756, 973, 1225, 1520, 1856, 2241, 2673, 3160, 3700, 4301, 4961, 5688, 6480, 7345, 8281, 9296, 10388, 11565, 12825, 14176, 15616, 17153, 18785, 20520, 22356, ...

MCS15664 : A₀ = 0; A_K+1 = - A_K + K³ + 1 (score: 5)

8, -21, 49, -120, 288, -697, 1681, -4060, 9800, -23661, 57121, -137904, 332928, -803761, 1940449, -4684660, 11309768, -27304197, 65918161, -159140520, 384199200, -927538921, 2239277041, ...

MCS3517569 : A₀ = 0; A₁ = 0; A_N = - 2 A_N-1 + A_N-2 - 1 (score: 5)

8, -21, 55, -144, 377, -987, 2584, -6765, 17711, -46368, 121393, -317811, 832040, -2178309, 5702887, -14930352, 39088169, -102334155, 267914296, -701408733, 1836311903, -4807526976, 12586269025, ...

MCS13561 : A₀ = 0; A₁ = 1; A_N = - 3 A_N-1 - A_N-2 (score: 5)

(Not in OEIS)

Horadam sequence W_n(0, 1; -1, -3), Lucas sequence U_n(-3, 1)

8, -21, 67, -196, 594, -1775, 5333, -15990, 47980, -143929, 431799, -1295384, 3886166, -11658483, 34975465, -104926378, 314779152, -944337437, 2833012331, -8499036972, 25497110938, -76491332791, ...

MCS1003424 : A₀ = 1; A_K+1 = - 3 A_K + K + 1 (score: 5)

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

MCS53963 : 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)

8, 25, 56, 105, 176, 273, 400, 561, 760, 1001, 1288, 1625, 2016, 2465, 2976, 3553, 4200, 4921, 5720, 6601, 7568, 8625, 9776, 11025, 12376, 13833, 15400, 17081, 18880, 20801, 22848, 25025, 27336, ...

MCS252436 : A₀ = 1; A_K+1 = A_K + 2 K² - 1 (score: 5)

8, 26, 56, 99, 160, 244, 352, 485, 648, 846, 1080, 1351, 1664, 2024, 2432, 2889, 3400, 3970, 4600, 5291, 6048, 6876, 7776, 8749, 9800, 10934, 12152, 13455, 14848, 16336, 17920, 19601, 21384, ...

MCS213777 : A₀ = 0; A₁ = 0; A_K+1 = - A_K-1 + K³ (score: 5)

8, -26, 75, -229, 682, -2052, 6149, -18455, 55356, -166078, 498223, -1494681, 4484030, -13452104, 40356297, -121068907, 363206704, -1089620130, 3268860371, -9806581133, 29419743378, -88259230156, ...

MCS249776 (alias MCS31357) : A₀ = 1; A_K+1 = - 3 A_K - K (score: 4)

8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 19683, 21952, 24389, 27000, 29791, 32768, 35937, ...

MCS880 : A_K = K³ (score: 3)

Perfect cubes : N×N×N (A0578)

8, 28, 72, 153, 288, 496, 800, 1225, 1800, 2556, 3528, 4753, 6272, 8128, 10368, 13041, 16200, 19900, 24200, 29161, 34848, 41328, 48672, 56953, 66248, 76636, 88200, 101025, 115200, 130816, 147968, ...

MCS213521 : A₀ = 0; A₁ = 0; A_K+1 = A_K-1 + K³ (score: 5)

8, -28, 75, -241, 698, -2130, 6341, -19087, 57180, -171640, 514799, -1544541, 4633454, -13900558, 41701449, -125104603, 375313520, -1125940884, 3377822291, -10133467273, 30400401378, -91201204618, ...

MCS249740 : A₀ = 1; A_K+1 = - 3 A_K - K² (score: 5)

8, -28, 76, -272, 880, -3328, 12128, -48736, 194272, -827840, 3547648, -15965248, 72727616, -344136832, 1653233920, -8191833728, 41256512128, -213285020416, ...

MCS432145 : A₀ = -1; A₁ = 0; A_K+1 = - A_K + K A_K-1 (score: 5)

8, -29, 137, -793, 5414, -42519, 377257, -3730051, 40653304, -484109597, 6252771457, -87054690801, ...

MCS3460486 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K - A_K - A_K-1 (score: 5)

8, -33, 164, -985, 6894, -55153, 496376, -4963761, 54601370, -655216441, 8517813732, -119249392249, ...

MCS505240 : A₀ = 1; A_K+1 = - K A_K - 2 A_K - 1 (score: 5)

8, -33, 168, -1016, 7145, -57328, 516968, -5176825, 57002403, -684545804, 8904272277, -124716814281, ...

MCS6317622 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = - K A_K - A_K-2 (score: 5)

8, 35, 99, 224, 440, 783, 1295, 2024, 3024, 4355, 6083, 8280, 11024, 14399, 18495, 23408, 29240, 36099, 44099, 53360, 64008, 76175, 89999, 105624, 123200, 142883, 164835, 189224, 216224, 246015, ...

MCS61961 : A₀ = -1; A_K+1 = A_K + K³ (score: 5)

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

MCS31597 : A₀ = 0; A_K+1 = - K A_K - A_K - K - 1 (score: 5)

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

MCS31309 : A₀ = 0; A_K+1 = - K A_K + A_K - K + 1 (score: 5)

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

MCS1933 (alias MCS30936, MCS61873) : A₀ = 0; A_K+1 = - K A_K - K (score: 3)

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

MCS497240 : A₀ = 1; A_K+1 = - 2 K A_K - 2 A_K (score: 5)

8, -52, 473, -5197, 67568, -1013512, 17229713, -327364537, 6874655288, -158117071612, ...

MCS31013 : A₀ = 0; A_K+1 = - 2 K A_K + A_K + K (score: 5)

8, -53, 56, -177, 272, -645, 1168, -2481, 4792, -9781, 19336, -38929, 77568, -155461, 310560, -621521, 1242600, -2485685, 4970840, -9942257, 19883888, -39768453, 79536176, -159073137, 318145432, ...

MCS63153 : A₀ = 0; A_K+1 = - 2 A_K - K² - 1 (score: 5)

8, 57, 472, 4745, 56976, 797713, 12763472, 229742577, 4594851640, 101086736201, ...

MCS3850 (alias MCS61608) : A₀ = 0; A_K+1 = 2 K A_K + K² (score: 5)

8, 75, 904, 13565, 244176, 5127703, 123064880, 3322751769, 99682553080, ...

MCS3859 (alias MCS61752) : A₀ = 0; A_K+1 = 3 K A_K + K (score: 5)

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, ...

MCS787425 : A₀ = 0; A₁ = 0; A₂ = 1; A_N = - 3 A_N-3 (score: 5)

9, 0, -27, 0, 81, 0, -243, 0, 729, 0, -2187, 0, 6561, 0, -19683, 0, 59049, 0, -177147, 0, 531441, 0, -1594323, 0, 4782969, 0, -14348907, 0, 43046721, 0, -129140163, 0, 387420489, 0, -1162261467, ...

MCS3343 (alias MCS6847510) : A₀ = 0; A₁ = 1; A_N = - 3 A_N-2 (score: 4)

(Not in OEIS)

Horadam sequence W_n(0, 1; -3, 0), Lucas sequence U_n(0, 3) ; Horadam sequence W_n(1, 0; -3, 0)

9, 5, -11, -23, 1, 45, 45, -47, -135, -43, 229, 313, -143, -771, -483, 1057, 2025, -91, -4139, -3959, 4321, 12237, 3597, -20879, -28071, 13685, 69829, 42457, -97199, -182115, 12285, 376513, ...

MCS25368118 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = - A_N-2 - 2 A_N-3 (score: 5)

9, 6, -59, -48, 465, 424, -4659, -4674, 55897, 60750, -782571, -911264, 12521121, 15491472, -225380195, -294337986, 4507603881, 6181097686, -99167285403, -142165246800, ...

MCS108737 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - K + 1 (score: 5)

9, 7, -22, -15, 73, 53, -210, -149, 641, 459, -1910, -1363, 5745, 4105, -17218, -12297, 51673, 36911, -154998, -110711, 465017, 332157, -1395026, -996445, 4185105, 2989363, -12555286, -8968059, ...

MCS6856454 : A₀ = 1; A₁ = 1; A_K+1 = - 3 A_K-1 + K (score: 5)

9, 8, -56, -47, 456, 367, -4607, -3581, 55651, 41946, -782695, -573539, 12565066, 8967468, -226744727, -157816826, 4543862008, 3087408619, -100122781002, -66466536229, ...

MCS196761 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = - K A_K-1 + A_K-2 (score: 5)

9, 9, 0, -27, -27, 0, 81, 81, 0, -243, -243, 0, 729, 729, 0, -2187, -2187, 0, 6561, 6561, 0, -19683, -19683, 0, 59049, 59049, 0, -177147, -177147, 0, 531441, 531441, 0, -1594323, -1594323, 0, ...

MCS393713 : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - 3 A_N-3 (score: 5)

9, 9, 9, -27, -27, -27, 81, 81, 81, -243, -243, -243, 729, 729, 729, -2187, -2187, -2187, 6561, 6561, 6561, -19683, -19683, -19683, 59049, 59049, 59049, -177147, -177147, -177147, 531441, 531441, ...

MCS12598838 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = - 3 A_N-3 (score: 5)

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

MCS1711878 : A₀ = 1; A₁ = 1; A_N = - 3 A_N-2 (score: 4)

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

9, -9, -47, 127, 305, -1565, -1779, 20571, 2569, -290549, 252029, 4396771, -8681247, -70460613, 235404325, 1173807955, -6117298759, -19706476229, 160404347709, 312551081811, ...

MCS865293 : A₀ = 0; A₁ = 0; A_K+1 = - A_K - K A_K-1 + K (score: 5)

9, -9, -59, 57, 465, -521, -4659, 5721, 55897, -74385, -782571, 1115761, 12521121, -18967953, -225380195, 360391089, 4507603881, -7568212889, -99167285403, 174068896425, ...

MCS3479606 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 - K + 1 (score: 5)

9, -11, 17, -35, 57, -91, 161, -275, 457, -779, 1329, -2243, 3801, -6459, 10945, -18547, 31465, -53355, 90449, -153379, 260089, -440987, 747745, -1267923, 2149897, -3645387, 6181233, -10481027, ...

MCS25957942 : A₀ = 1; A₁ = 1; A₂ = 1; A_N = - A_N-1 - 2 A_N-3 (score: 5)

9, 11, -32, -39, 89, 109, -276, -337, 817, 999, -2464, -3011, 7377, 9017, -22148, -27069, 66425, 81187, -199296, -243583, 597865, 730725, -1793620, -2192201, 5380833, 6576575, -16142528, ...

MCS6872838 : A₀ = 1; A₁ = 1; A_K+1 = - 3 A_K-1 - K (score: 5)

9, 11, -56, 1, 279, -284, -1111, 2531, 3024, -15679, 559, 77836, -80631, -308549, 711704, 831041, -4389561, 234356, 21713449, -22885229, -85682016, 200108161, 228301919, -1228842724, 87333129, ...

MCS54063 : A₀ = 0; A₁ = 1; A_N = - A_N-1 - 5 A_N-2 (score: 7)

Horadam sequence W_n(0, 1; -5, -1), Lucas sequence U_n(-1, 5)

9, 11, -57, -81, 521, 819, -5721, -9817, 74385, 137451, -1115761, -2199201, 18967953, 39585635, -360391089, -791712681, 7568212889, 17417679003, -174068896425, -418024296049, ...

MCS107105 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - A_K-1 + K (score: 5)

9, 15, -105, -75, 1545, -345, -27465, 34365, 569865, -1394625, -13421865, 52471365, 350184585, -2029268265, -9877007625, 82930665165, 292395624585, ...

MCS108037 : A₀ = 0; A₁ = 1; A_K+1 = - A_K - 2 K A_K-1 (score: 5)

9, 20, -85, -234, 1197, 3752, -21537, -75030, 473825, 1800732, -12319437, -50420482, 369583125, 1613455440, -12565826233, -58084395822, 477501396873, ...

MCS3424438 : A₀ = 1; A₁ = 1; A_K+1 = - 2 K A_K-1 + K (score: 5)

9, 21, -59, -153, 465, 1369, -4659, -15069, 55897, 195885, -782571, -2938289, 12521121, 49950897, -225380195, -949067061, 4507603881, 19930408261, -99167285403, -458399390025, ...

MCS3435574 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 - A_K-1 - K (score: 5)

9, 24, 48, 83, 131, 194, 274, 373, 493, 636, 804, 999, 1223, 1478, 1766, 2089, 2449, 2848, 3288, 3771, 4299, 4874, 5498, 6173, 6901, 7684, 8524, 9423, 10383, 11406, 12494, 13649, 14873, 16168, ...

MCS252433 : A₀ = -1; A_K+1 = A_K + K² - 1 (score: 5)

9, 27, 59, 109, 181, 279, 407, 569, 769, 1011, 1299, 1637, 2029, 2479, 2991, 3569, 4217, 4939, 5739, 6621, 7589, 8647, 9799, 11049, 12401, 13859, 15427, 17109, 18909, 20831, 22879, 25057, 27369, ...

MCS123945 : A₀ = -1; A_K+1 = A_K + 2 K² (score: 5)

9, -27, 81, -243, 729, -2187, 6561, -19683, 59049, -177147, 531441, -1594323, 4782969, -14348907, 43046721, -129140163, 387420489, -1162261467, 3486784401, -10460353203, 31381059609, -94143178827, ...

MCS62432 : A₀ = 1; A_N = - 3 A_N-1 (score: 3)

9, 28, 73, 153, 289, 496, 801, 1225, 1801, 2556, 3529, 4753, 6273, 8128, 10369, 13041, 16201, 19900, 24201, 29161, 34849, 41328, 48673, 56953, 66249, 76636, 88201, 101025, 115201, 130816, 147969, ...

MCS6672 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + K³ (score: 5)

9, 29, 67, 129, 221, 349, 519, 737, 1009, 1341, 1739, 2209, 2757, 3389, 4111, 4929, 5849, 6877, 8019, 9281, 10669, 12189, 13847, 15649, 17601, 19709, 21979, 24417, 27029, 29821, 32799, 35969, ...

MCS14184 : A_K = K³ + K - 1 (score: 5)

9, 36, 100, 225, 441, 784, 1296, 2025, 3025, 4356, 6084, 8281, 11025, 14400, 18496, 23409, 29241, 36100, 44100, 53361, 64009, 76176, 90000, 105625, 123201, 142884, 164836, 189225, 216225, 246016, ...

MCS3872 : A₀ = 0; A_K+1 = A_K + K³ (score: 4)

9, -43, 36, -97, 113, -232, 321, -579, 872, -1481, 2321, -3836, 6121, -9995, 16076, -26113, 42145, -68304, 110401, -178755, 289104, -467913, 756961, -1224932, 1981833, -3206827, 5188596, -8395489, ...

MCS13526 : A₀ = 0; A₁ = 1; A_K+1 = - A_K + A_K-1 - 2 K (score: 5)

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

MCS125336 : A₀ = 1; A_K+1 = - K A_K - A_K + 1 (score: 4)

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

MCS7825 (alias MCS250417) : A₀ = 0; A_K+1 = - K A_K + A_K + 1 (score: 4)

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

MCS31321 : A₀ = 0; A_K+1 = - K A_K - 2 A_K + 1 (score: 5)

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

MCS1953 (alias MCS31256, MCS62513) : A₀ = 0; A_K+1 = - K A_K + 1 (score: 3)

9, 47, -127, -305, 1565, 1779, -20571, -2569, 290549, -252029, -4396771, 8681247, 70460613, -235404325, -1173807955, 6117298759, 19706476229, -160404347709, -312551081811, ...

MCS865805 : A₀ = 0; A₁ = 0; A_K+1 = - A_K - K A_K-1 - K (score: 5)

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

MCS13349 : A₀ = 0; A₁ = 1; A_K+1 = - 2 K A_K + A_K-1 (score: 5)

9, -56, 585, -6984, 97825, -1565136, 28172529, -563450480, 12395910681, -297501856200, ...

MCS7702 (alias MCS123240) : A₀ = 0; A_K+1 = - 2 K A_K + K² (score: 5)

9, -79, 517, -4185, 37601, -376091, 4136901, -49642933, 645357985, -9035011959, 135525179189, ...

MCS15565 : A₀ = 0; A_K+1 = - K A_K - A_K - K² (score: 5)

10, 17, -52, -187, 282, 2153, -948, -26783, -14458, 360505, 577376, -5190703, -15006094, 78426561, 363542348, -1204988871, -8839378178, 17670376985, 220976075080, -203112972559, ...

MCS3481654 : A₀ = 1; A₁ = 1; A_K+1 = A_K - K A_K-1 + 1 (score: 5)

10, 18, -77, -152, 684, 1510, -7535, -18132, 97942, 253834, -1469145, -4061360, 24975448, 73104462, -474533531, -1462089260, 9965204130, 32165963698, -229199695013, -771983128776, ...

MCS1716333 : A₀ = -1; A₁ = -1; A_K+1 = - K A_K-1 - K (score: 5)

10, -26, 87, -245, 760, -2244, 6781, -20279, 60918, -182654, 548083, -1644105, 4932484, -14797256, 44391993, -133175723, 399527458, -1198582050, 3595746511, -10787239133, 32361717840, ...

MCS249736 : A₀ = 1; A_K+1 = - 3 A_K + K² (score: 5)

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

MCS249760 : A₀ = 1; A_K+1 = - 3 A_K + K (score: 4)

10, -33, 95, -290, 864, -2599, 7789, -23376, 70118, -210365, 631083, -1893262, 5679772, -17039331, 51117977, -153353948, 460061826, -1380185497, 4140556471, -12421669434, 37265008280, ...

MCS1011632 : A₀ = 1; A_K+1 = - 3 A_K - K - 1 (score: 5)

10, -33, 109, -360, 1189, -3927, 12970, -42837, 141481, -467280, 1543321, -5097243, 16835050, -55602393, 183642229, -606529080, 2003229469, -6616217487, 21851881930, -72171863277, 238367471761, ...

MCS6780 : A₀ = 0; A₁ = 1; A_N = - 3 A_N-1 + A_N-2 (score: 5)

(Not in OEIS)

Horadam sequence W_n(0, 1; 1, -3), Lucas sequence U_n(-3, -1)

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

MCS854405 : A₀ = 0; A₁ = -1; A_K+1 = - K A_K + A_K-1 (score: 5)

10, 45, 136, 325, 666, 1225, 2080, 3321, 5050, 7381, 10440, 14365, 19306, 25425, 32896, 41905, 52650, 65341, 80200, 97461, 117370, 140185, 166176, 195625, 228826, 266085, 307720, 354061, 405450, ...

MCS6878475 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + 4 K³ + 6 K (score: 14)

Triangular number of N squared N²(N²+1)/2 (A37270)

10, 47, 158, 441, 1098, 2539, 5590, 11909, 24818, 50967, 103662, 209521, 421786, 846947, 1697990, 3400893, 6807618, 13622095, 27252190, 54513641, 109037930, 218088027, 436189878, 872395381, ...

MCS7760 : A₀ = 0; A_K+1 = 2 A_K + K³ (score: 5)

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

MCS877409 : A₀ = 0; A₁ = 0; A_K+1 = - K A_K - A_K-1 - 1 (score: 5)

10, 57, 292, 1585, 9726, 68425, 547912, 4931937, 49320370, 542525401, 6510306540, 84633987217, ...

MCS3848 (alias MCS30788) : A₀ = 0; A_K+1 = K A_K + K³ (score: 5)

10, -58, 338, -2378, 19010, -171106, 1711042, -18821482, 225857762, -2936150930, 41106112994, -616591694938, ...

MCS498392 : A₀ = 1; A_K+1 = - K A_K - A_K - 2 K (score: 5)

10, -80, 880, -12320, 209440, -4188800, 96342400, -2504902400, 72642169600, ...

MCS248056 : A₀ = 1; A_K+1 = - 3 K A_K + A_K (score: 5)

11, -5, -39, 8, 109, -33, -337, 88, 999, -277, -3011, 816, 9017, -2465, -27069, 7376, 81187, -22149, -243583, 66424, 730725, -199297, -2192201, 597864, 6576575, -1793621, -19729755, 5380832, ...

MCS13423 : A₀ = 0; A₁ = 1; A_K+1 = - 3 A_K-1 - K (score: 5)

11, 11, -34, -34, 101, 101, -304, -304, 911, 911, -2734, -2734, 8201, 8201, -24604, -24604, 73811, 73811, -221434, -221434, 664301, 664301, -1992904, -1992904, 5978711, 5978711, -17936134, ...

MCS7020294 : A₀ = 1; A₁ = 1; A_N = - 3 A_N-2 - 1 (score: 5)

11, -14, -19, 61, -4, -179, 191, 346, -919, -119, 2876, -2519, -6109, 13666, 4661, -45659, 31676, 105301, -200329, -115574, 716561, -369839, -1779844, 2889361, 2450171, -11118254, 3767741, ...

MCS6921990 : A₀ = 1; A₁ = 1; A_N = - A_N-1 - 3 A_N-2 (score: 5)

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

11, 19, -67, -134, 535, 1205, -5351, -13256, 64211, 172327, -898955, -2584906, 14383279, 43943401, -258899023, -834924620, 5177980459, 17533417019, -113915570099, -403268591438, ...

MCS3509302 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K-1 - A_K-1 - 1 (score: 5)

11, 19, -76, -151, 685, 1511, -7534, -18131, 97943, 253835, -1469144, -4061359, 24975449, 73104463, -474533530, -1462089259, 9965204131, 32165963699, -229199695012, -771983128775, ...

MCS217101 (alias MCS108641) : A₀ = 0; A₁ = 0; A_K+1 = - K A_K-1 + 1 (score: 4)

11, 23, -62, -172, 473, 1610, -4558, -18183, 53086, 240937, -725021, -3667141, 11359399, 63066418, -200802041, -1209621341, 3952974402, 25602850202, -85755815503, -592818529048, ...

MCS6298422 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = - K A_K-1 - A_K-2 (score: 5)

11, -29, 76, -199, 521, -1364, 3571, -9349, 24476, -64079, 167761, -439204, 1149851, -3010349, 7881196, -20633239, 54018521, -141422324, 370248451, -969323029, 2537720636, -6643838879, ...

MCS6943494 : A₀ = 1; A₁ = 1; A_N = - 3 A_N-1 - A_N-2 (score: 5)

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

11, -29, 93, -271, 823, -2457, 7385, -22139, 66435, -199285, 597877, -1793607, 5380847, -16142513, 48427569, -145282675, 435848059, -1307544141, 3922632461, -11767897343, 35303692071, ...

MCS499536 : A₀ = 1; A_K+1 = - 3 A_K + 2 K (score: 5)

11, 31, -41, -265, 55, 2431, 1871, -24881, -47345, 276095, 938911, -3202529, -18225121, 36217855, 364270015, -323869249, -7609269569, -808015361, 166595915135, 185180268415, ...

MCS3446838 : A₀ = 1; A₁ = 1; A_K+1 = A_K - K A_K-1 - K (score: 5)

11, -34, 101, -304, 911, -2734, 8201, -24604, 73811, -221434, 664301, -1992904, 5978711, -17936134, 53808401, -161425204, 484275611, -1452826834, 4358480501, -13075441504, 39226324511, ...

MCS252896 : A₀ = 1; A_N = - 3 A_N-1 - 1 (score: 4)

11, -39, 139, -495, 1763, -6279, 22363, -79647, 283667, -1010295, 3598219, -12815247, 45642179, -162557031, 578955451, -2061980415, 7343852147, -26155517271, 93154256107, -331773802863, ...

MCS27122 : A₀ = 0; A₁ = 1; A_N = - 3 A_N-1 + 2 A_N-2 (score: 6)

(Not in OEIS)

Horadam sequence W_n(0, 1; 2, -3), Lucas sequence U_n(-3, -2)

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

MCS7774 : A₀ = 0; A_K+1 = - 4 A_K + K (score: 5)

11, -52, 301, -2055, 16139, -143196, 1415821, -15430835, 183754199, -2373373752, 33043478329, -493278801183, ...

MCS3444102 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + A_K - A_K-1 (score: 5)

11, 56, 1, -279, -284, 1111, 2531, -3024, -15679, -559, 77836, 80631, -308549, -711704, 831041, 4389561, 234356, -21713449, -22885229, 85682016, 200108161, -228301919, -1228842724, -87333129, ...

MCS53807 : A₀ = 0; A₁ = 1; A_N = A_N-1 - 5 A_N-2 (score: 7)

Horadam sequence W_n(0, 1; -5, 1), Lucas sequence U_n(1, 5)

11, -56, 319, -2184, 17145, -152130, 1504145, -16393476, 195217555, -2521434752, 35104868959, -524051599648, ...

MCS13421 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K - A_K-1 - K (score: 5)

11, 59, 319, 1949, 13691, 109591, 986399, 9864089, 108505099, 1302061331, 16926797471, 236975164789, ...

MCS7876 (alias MCS126024) : A₀ = 0; A_K+1 = K A_K + K² - 1 (score: 5)

11, -63, 493, -4867, 57911, -805887, 12836281, -230247171, 4592107139, -100796109887, ...

MCS3421574 : A₀ = 1; A₁ = 1; A_K+1 = - 2 K A_K - A_K-1 (score: 5)

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

MCS31333 : A₀ = 0; A_K+1 = - 2 K A_K - A_K + 1 (score: 5)

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

MCS3408598 : A₀ = 1; A₁ = 0; A_K+1 = - 2 K A_K-1 (score: 5)

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

MCS26817 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 - K (score: 4)

12, -12, -60, 144, 336, -1632, -1728, 19680, 1056, -256896, 242112, 3611328, -7485120, -53907456, 188639616, 835602048, -4608394368, -12939248640, 114323924736, 183278793984, ...

MCS3460150 : A₀ = 1; A₁ = 1; A_K+1 = - A_K - K A_K-1 - A_K-1 (score: 5)

12, 32, -120, -384, 1680, 6144, -30240, -122880, 665280, 2949120, -17297280, -82575360, 518918400, 2642411520, -17643225600, -95126814720, 670442572800, ...

MCS852150 : A₀ = 1; A₁ = 1; A_K+1 = - 2 K A_K-1 (score: 4)

12, -35, 107, -318, 958, -2869, 8613, -25832, 77504, -232503, 697519, -2092546, 6277650, -18832937, 56498825, -169496460, 508489396, -1525468171, 4576404531, -13729213574, 41187640742, ...

MCS1011616 : A₀ = 1; A_K+1 = - 3 A_K + K - 1 (score: 5)

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

MCS27123 : A₀ = 0; A₁ = 1; A_N = - 3 A_N-1 + 3 A_N-2 (score: 7)

Horadam sequence W_n(0, 1; 3, -3), Lucas sequence U_n(-3, -3)

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

MCS249752 : A₀ = 1; A_K+1 = - K A_K - 3 A_K (score: 5)

12, -69, 420, -3016, 24540, -223885, 2263380, -25121076, 303716280, -3973432729, 55931774472, -842950049824, ...

MCS858721 : A₀ = 0; A₁ = 0; A_K+1 = - K A_K + A_K-1 - K (score: 5)

13, 22, -57, -212, 243, 2150, -281, -23932, -20561, 290554, 578407, -3779904, -13034417, 51223950, 285843455, -687411596, -6404280697, 8031362818, 148925538151, -35795806664, ...

MCS3514422 : A₀ = 1; A₁ = 1; A_K+1 = A_K - K A_K-1 - 1 (score: 5)

13, -41, 121, -365, 1093, -3281, 9841, -29525, 88573, -265721, 797161, -2391485, 7174453, -21523361, 64570081, -193710245, 581130733, -1743392201, 5230176601, -15690529805, 47071589413, ...

MCS1006560 : A₀ = 1; A_N = - 3 A_N-1 - 2 (score: 5)

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

MCS7831 (alias MCS501216) : A₀ = 0; A_N = - 4 A_N-1 + 1 (score: 5)

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

MCS3443078 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + A_K + A_K-1 (score: 5)

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

MCS854406 : A₀ = 1; A₁ = 1; A_K+1 = - K A_K + A_K-1 (score: 4)

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

MCS31081 : A₀ = 0; A_K+1 = - K A_K - 2 A_K + K (score: 5)

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

MCS15631 (alias MCS250104) : A₀ = 0; A_K+1 = - 3 K A_K + 1 (score: 5)

14, -47, 135, -412, 1228, -3693, 11069, -33218, 99642, -298939, 896803, -2690424, 8071256, -24213785, 72641337, -217924030, 653772070, -1961316231, 5883948671, -17651846036, 52955538084, ...

MCS7805 (alias MCS31613) : A₀ = 0; A_K+1 = - 3 A_K - K (score: 4)

14, -48, 164, -560, 1912, -6528, 22288, -76096, 259808, -887040, 3028544, -10340096, 35303296, -120532992, 411525376, -1405035520, 4797091328, -16378294272, 55918994432, -190919389184, ...

MCS108005 : A₀ = 0; A₁ = 1; A_N = - 4 A_N-1 - 2 A_N-2 (score: 7)

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

14, 51, 124, 245, 426, 679, 1016, 1449, 1990, 2651, 3444, 4381, 5474, 6735, 8176, 9809, 11646, 13699, 15980, 18501, 21274, 24311, 27624, 31225, 35126, 39339, 43876, 48749, 53970, 59551, 65504, ...

MCS14130 : A_K = 2 K³ - K (score: 5)

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