Munafo's Classical Sequences

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4, 10, 17, 29, 46, 66, 93, 127, 166, 214, 271, 335, 410, 496, 591, 699, 820, 952, 1099, 1261, 1436, 1628, 1837, 2061, 2304, 2566, 2845, 3145, 3466, 3806, 4169, 4555, 4962, 5394, 5851, 6331, 6838, ...

MCS196897 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = A_K-2 + K² (score: 5)

4, 10, 18, 28, 40, 54, 70, 88, 108, 130, 154, 180, 208, 238, 270, 304, 340, 378, 418, 460, 504, 550, 598, 648, 700, 754, 810, 868, 928, 990, 1054, 1120, 1188, 1258, 1330, 1404, 1480, 1558, 1638, ...

MCS3534 (alias MCS28340) : A_K = K² + 3 K (score: 5)

4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460, 514, 571, 631, 694, 760, 829, 901, 976, 1054, 1135, 1219, 1306, 1396, 1489, 1585, 1684, 1786, 1891, 1999, 2110, 2224, ...

MCS62064 : A₀ = 1; A_K+1 = A_K + 3 K (score: 4)

4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300, 2600, 2925, 3276, 3654, 4060, 4495, 4960, 5456, 5984, 6545, 7140, 7770, 8436, 9139, ...

MCS213537 (alias MCS1725633) : A₀ = 0; A₁ = 0; A_K+1 = A_K-1 + K² (score: 4)

Tetrahedral numbers (A000292)

4, 10, 22, 46, 94, 190, 382, 766, 1534, 3070, 6142, 12286, 24574, 49150, 98302, 196606, 393214, 786430, 1572862, 3145726, 6291454, 12582910, 25165822, 50331646, 100663294, 201326590, 402653182, ...

MCS125600 : A₀ = 1; A_N = 2 A_N-1 + 2 (score: 4)

4, 10, 25, 61, 148, 358, 865, 2089, 5044, 12178, 29401, 70981, 171364, 413710, 998785, 2411281, 5821348, 14053978, 33929305, 81912589, 197754484, 477421558, 1152597601, 2782616761, 6717831124, ...

MCS6967814 : A₀ = 1; A₁ = 1; A_N = 2 A_N-1 + A_N-2 + 1 (score: 5)

4, 10, 28, 76, 208, 568, 1552, 4240, 11584, 31648, 86464, 236224, 645376, 1763200, 4817152, 13160704, 35955712, 98232832, 268377088, 733219840, 2003193856, 5472827392, 14952042496, 40849739776, ...

MCS3450118 : A₀ = 1; A₁ = 1; A_N = 2 A_N-1 + 2 A_N-2 (score: 5)

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

4, 11, 22, 37, 56, 79, 106, 137, 172, 211, 254, 301, 352, 407, 466, 529, 596, 667, 742, 821, 904, 991, 1082, 1177, 1276, 1379, 1486, 1597, 1712, 1831, 1954, 2081, 2212, 2347, 2486, 2629, 2776, ...

MCS28306 : A_K = 2 K² + K + 1 (score: 5)

4, 11, 24, 45, 76, 119, 176, 249, 340, 451, 584, 741, 924, 1135, 1376, 1649, 1956, 2299, 2680, 3101, 3564, 4071, 4624, 5225, 5876, 6579, 7336, 8149, 9020, 9951, 10944, 12001, 13124, 14315, 15576, ...

MCS31304 : A₀ = 0; A_K+1 = A_K + K² + K + 1 (score: 5)

4, 11, 24, 47, 84, 143, 232, 367, 564, 855, 1272, 1879, 2740, 3983, 5736, 8255, 11796, 16871, 23992, 34183, 48468, 68895, 97512, 138415, 195700, 277559, 392184, 555959, 785268, 1112879, 1571560, ...

MCS427297 : A₀ = 0; A₁ = 0; A_K+1 = 2 A_K-1 + K² (score: 5)

4, 11, 26, 57, 120, 247, 502, 1013, 2036, 4083, 8178, 16369, 32752, 65519, 131054, 262125, 524268, 1048555, 2097130, 4194281, 8388584, 16777191, 33554406, 67108837, 134217700, 268435427, ...

MCS970 (alias MCS3914, MCS502432) : A₀ = 0; A_K+1 = 2 A_K + K (score: 3)

2^X-X-1 (Eulerian numbers) (A000295)

4, 11, 29, 73, 180, 439, 1065, 2577, 6228, 15043, 36325, 87705, 211748, 511215, 1234193, 2979617, 7193444, 17366523, 41926509, 101219561, 244365652, 589950887, 1424267449, 3438485809, 8301239092, ...

MCS6902278 : A₀ = 1; A₁ = 1; A_K+1 = 2 A_K + A_K-1 + K (score: 5)

4, 12, 24, 37, 49, 61, 76, 96, 120, 145, 169, 193, 220, 252, 288, 325, 361, 397, 436, 480, 528, 577, 625, 673, 724, 780, 840, 901, 961, 1021, 1084, 1152, 1224, 1297, 1369, 1441, 1516, 1596, 1680, ...

MCS3443846 : A₀ = 1; A₁ = 1; A_K+1 = A_K - A_K-1 + K² (score: 5)

4, 12, 24, 40, 60, 84, 112, 144, 180, 220, 264, 312, 364, 420, 480, 544, 612, 684, 760, 840, 924, 1012, 1104, 1200, 1300, 1404, 1512, 1624, 1740, 1860, 1984, 2112, 2244, 2380, 2520, 2664, 2812, ...

MCS7755 (alias MCS14122, MCS28250) : A₀ = 0; A_K+1 = A_K + 4 K (score: 5)

4, 12, 27, 51, 86, 134, 197, 277, 376, 496, 639, 807, 1002, 1226, 1481, 1769, 2092, 2452, 2851, 3291, 3774, 4302, 4877, 5501, 6176, 6904, 7687, 8527, 9426, 10386, 11409, 12497, 13652, 14876, ...

MCS248136 : A₀ = 1; A_K+1 = A_K + K² + 2 K (score: 5)

4, 12, 32, 81, 200, 488, 1184, 2865, 6924, 16724, 40384, 97505, 235408, 568336, 1372096, 3312545, 7997204, 19306972, 46611168, 112529329, 271669848, 655869048, 1583407968, 3822685009, 9228778012, ...

MCS1725569 : A₀ = 0; A₁ = 0; A_K+1 = 2 A_K + A_K-1 + K (score: 5)

4, 12, 32, 85, 228, 644, 1888, 5877, 18980, 64768, 227904, 842153, 3190852, 12632520, 51053888, 214753129, 918970308, 4080309812, 18379406560, 85686506493, 404346944804, ...

MCS213129 : A₀ = 0; A₁ = 0; A_K+1 = K A_K-1 + K² (score: 5)

4, 12, 35, 103, 306, 914, 2737, 8205, 24608, 73816, 221439, 664307, 1992910, 5978718, 17936141, 53808409, 161425212, 484275620, 1452826843, 4358480511, 13075441514, 39226324522, 117678973545, ...

MCS250800 : A₀ = 1; A_K+1 = 3 A_K - K + 1 (score: 5)

4, 13, 28, 49, 76, 109, 148, 193, 244, 301, 364, 433, 508, 589, 676, 769, 868, 973, 1084, 1201, 1324, 1453, 1588, 1729, 1876, 2029, 2188, 2353, 2524, 2701, 2884, 3073, 3268, 3469, 3676, 3889, ...

MCS7075 : A_K = 3 K² + 1 (score: 5)

4, 13, 32, 65, 116, 189, 288, 417, 580, 781, 1024, 1313, 1652, 2045, 2496, 3009, 3588, 4237, 4960, 5761, 6644, 7613, 8672, 9825, 11076, 12429, 13888, 15457, 17140, 18941, 20864, 22913, 25092, ...

MCS31298 : A₀ = 0; A_K+1 = A_K + 2 K² + 1 (score: 5)

4, 13, 36, 89, 204, 445, 940, 1945, 3972, 8045, 16212, 32569, 65308, 130813, 261852, 523961, 1048212, 2096749, 4193860, 8388121, 16776684, 33553853, 67108236, 134217049, 268434724, 536870125, ...

MCS15656 : A₀ = 0; A_K+1 = 2 A_K + K² + 1 (score: 5)

4, 13, 40, 121, 364, 1093, 3280, 9841, 29524, 88573, 265720, 797161, 2391484, 7174453, 21523360, 64570081, 193710244, 581130733, 1743392200, 5230176601, 15690529804, 47071589413, 141214768240, ...

MCS979 (alias MCS62688) : A₀ = 0; A_N = 3 A_N-1 + 1 (score: 4)

4, 13, 43, 142, 469, 1549, 5116, 16897, 55807, 184318, 608761, 2010601, 6640564, 21932293, 72437443, 239244622, 790171309, 2609758549, 8619446956, 28468099417, 94023745207, 310539335038, ...

MCS1733126 : A₀ = 1; A₁ = 1; A_N = 3 A_N-1 + A_N-2 (score: 5)

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

4, 13, 46, 193, 976, 5869, 41098, 328801, 2959228, 29592301, 325515334, 3906184033, 50780392456, 710925494413, ...

MCS7818 (alias MCS250192) : A₀ = 0; A_K+1 = K A_K + 2 K + 1 (score: 5)

4, 14, 30, 52, 80, 114, 154, 200, 252, 310, 374, 444, 520, 602, 690, 784, 884, 990, 1102, 1220, 1344, 1474, 1610, 1752, 1900, 2054, 2214, 2380, 2552, 2730, 2914, 3104, 3300, 3502, 3710, 3924, ...

MCS7059 : A_K = 3 K² + K (score: 5)

4, 14, 35, 71, 126, 204, 309, 445, 616, 826, 1079, 1379, 1730, 2136, 2601, 3129, 3724, 4390, 5131, 5951, 6854, 7844, 8925, 10101, 11376, 12754, 14239, 15835, 17546, 19376, 21329, 23409, 25620, ...

MCS248084 : A₀ = 1; A_K+1 = A_K + 2 K² + K (score: 5)

4, 14, 45, 139, 422, 1272, 3823, 11477, 34440, 103330, 310001, 930015, 2790058, 8370188, 25110579, 75331753, 225995276, 677985846, 2033957557, 6101872691, 18305618094, 54916854304, 164750562935, ...

MCS250784 : A₀ = 1; A_K+1 = 3 A_K + K + 1 (score: 5)

4, 14, 56, 271, 1576, 10768, 84576, 750425, 7419684, 80866110, 962973648, 12437791327, 173166104944, ...

MCS856897 : A₀ = 0; A₁ = 0; A_K+1 = K A_K - A_K-1 + K (score: 5)

4, 14, 64, 348, 2216, 16208, 134096, 1239280, 12660992, 141749472, 1726315648, 22725602368, 321611064448, ...

MCS3338 : A₀ = 0; A₁ = 1; A_K+1 = K A_K + 2 A_K-1 (score: 5)

4, 15, 58, 229, 912, 3643, 14566, 58257, 233020, 932071, 3728274, 14913085, 59652328, 238609299, 954437182, 3817748713, 15270994836, 61083979327, 244335917290, 977343669141, ...

MCS248752 : A₀ = 1; A_K+1 = 4 A_K - K (score: 5)

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

MCS964 (alias MCS15652, MCS30864, MCS61729)

A₀ = 0; A_K+1 = K A_K + K (score: 3)

Distinct Nonempty Ordered Subsets of Set with N Elements (A007526)

4, 15, 76, 455, 3186, 25487, 229384, 2293839, 25232230, 302786759, 3936227868, 55107190151, 826607852266, ...

MCS13328 : A₀ = 0; A₁ = 1; A_K+1 = K A_K + K A_K-1 (score: 5)

4, 16, 36, 64, 100, 144, 196, 256, 324, 400, 484, 576, 676, 784, 900, 1024, 1156, 1296, 1444, 1600, 1764, 1936, 2116, 2304, 2500, 2704, 2916, 3136, 3364, 3600, 3844, 4096, 4356, 4624, 4900, 5184, ...

MCS7051 : A_K = 4 K² (score: 5)

4, 16, 43, 91, 166, 274, 421, 613, 856, 1156, 1519, 1951, 2458, 3046, 3721, 4489, 5356, 6328, 7411, 8611, 9934, 11386, 12973, 14701, 16576, 18604, 20791, 23143, 25666, 28366, 31249, 34321, 37588, ...

MCS61980 : A₀ = 1; A_K+1 = A_K + 3 K² (score: 5)

4, 16, 64, 256, 1024, 4096, 16384, 65536, 262144, 1048576, 4194304, 16777216, 67108864, 268435456, 1073741824, 4294967296, 17179869184, 68719476736, 274877906944, ...

MCS62176 : A₀ = 1; A_N = 4 A_N-1 (score: 4)

Powers of 4 (A000302)

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

4, 16, 70, 358, 2158, 15118, 120958, 1088638, 10886398, 119750398, 1437004798, 18681062398, 261534873598, ...

MCS248144 : A₀ = 1; A_K+1 = K A_K + A_K + 2 K (score: 5)

4, 16, 72, 381, 2364, 16936, 137860, 1257685, 12714720, 141119616, 1706150124, 22321071241, 314201147512, ...

MCS856641 : A₀ = 0; A₁ = 0; A_K+1 = K A_K + A_K-1 + K (score: 5)

4, 17, 70, 283, 1136, 4549, 18202, 72815, 291268, 1165081, 4660334, 18641347, 74565400, 298261613, 1193046466, 4772185879, 19088743532, 76354974145, 305419896598, ...

MCS248736 : A₀ = 1; A_K+1 = 4 A_K + K (score: 5)

4, 17, 72, 305, 1292, 5473, 23184, 98209, 416020, 1762289, 7465176, 31622993, 133957148, 567451585, 2403763488, 10182505537, 43133785636, 182717648081, 774004377960, ...

MCS6748 : A₀ = 0; A₁ = 1; A_N = 4 A_N-1 + A_N-2 (score: 6)

Value of Fibonacci polynomials when x=4 (A001076)

4, 17, 86, 517, 3620, 28961, 260650, 2606501, 28671512, 344058145, 4472755886, 62618582405, 939278736076, ...

MCS7828 (alias MCS250401) : A₀ = 0; A_K+1 = K A_K + 2 A_K + 1 (score: 5)

4, 18, 48, 100, 180, 294, 448, 648, 900, 1210, 1584, 2028, 2548, 3150, 3840, 4624, 5508, 6498, 7600, 8820, 10164, 11638, 13248, 15000, 16900, 18954, 21168, 23548, 26100, 28830, 31744, 34848, ...

MCS3526 : A_K = K³ - K² (score: 5)

4, 19, 118, 949, 9496, 113959, 1595434, 25526953, 459485164, 9189703291, 202173472414, ...

MCS15634 (alias MCS250152) : A₀ = 0; A_K+1 = 2 K A_K + K + 1 (score: 5)

4, 21, 148, 1333, 14664, 190633, 2859496, 48611433, 923617228, 19395961789, 446107121148, ...

MCS15650 (alias MCS250664) : A₀ = 0; A_K+1 = 2 K A_K + A_K + 1 (score: 5)

4, 22, 157, 1417, 15592, 202702, 3040537, 51689137, 982093612, 20623965862, 474351214837, ...

MCS248104 : A₀ = 1; A_K+1 = 2 K A_K + A_K + K (score: 5)

4, 25, 226, 2713, 40696, 732529, 15383110, 369194641, 9968255308, 299047659241, ...

MCS3907 (alias MCS62520) : A₀ = 0; A_K+1 = 3 K A_K + 1 (score: 5)

4, 28, 280, 3640, 58240, 1106560, 24344320, 608608000, 17041024000, 528271744000, ...

MCS62008 : A₀ = 1; A_K+1 = 3 K A_K + A_K (score: 5)

5, 0, 45, 0, 585, 0, 9945, 0, 208845, 0, 5221125, 0, 151412625, 0, 4996616625, 0, 184874815125, 0, ...

MCS53378 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K-1 + A_K-1 (score: 5)

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

MCS427022 : A₀ = 1; A₁ = 5; A_N = A_N-2 (score: 5)

Horadam sequence W_n(1, 5; 1, 0)

5, 4, 15, 14, 37, 36, 83, 82, 177, 176, 367, 366, 749, 748, 1515, 1514, 3049, 3048, 6119, 6118, 12261, 12260, 24547, 24546, 49121, 49120, 98271, 98270, 196573, 196572, 393179, 393178, 786393, ...

MCS1713413 : A₀ = 0; A₁ = -1; A_K+1 = 2 A_K-1 + K (score: 5)

5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, ...

MCS887 (alias MCS61959) : A_N = 5 (score: 5)

Horadam sequence W_n(5, 5; 0, 1)

5, 6, 19, 23, 63, 76, 197, 237, 601, 722, 1815, 2179, 5459, 6552, 16393, 19673, 49197, 59038, 147611, 177135, 442855, 531428, 1328589, 1594309, 3985793, 4782954, 11957407, 14348891, 35872251, ...

MCS3347 : A₀ = 0; A₁ = 1; A_K+1 = 3 A_K-1 + K (score: 5)

5, 6, 31, 43, 249, 388, 2491, 4269, 29893, 55498, 418503, 832471, 6696049, 14152008, 120528883, 268888153, 2410577661, 5646651214, 53032708543, 129872977923, ...

MCS434193 (alias MCS868873) : A₀ = -1; A₁ = 0; A_K+1 = K A_K-1 + 1 (score: 5)

5, 7, 9, 15, 19, 23, 31, 37, 43, 53, 61, 69, 81, 91, 101, 115, 127, 139, 155, 169, 183, 201, 217, 233, 253, 271, 289, 311, 331, 351, 375, 397, 419, 445, 469, 493, 521, 547, 573, 603, 631, 659, ...

MCS12747830 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = A_K-2 + 2 K (score: 5)

5, 7, 13, 17, 25, 31, 41, 49, 61, 71, 85, 97, 113, 127, 145, 161, 181, 199, 221, 241, 265, 287, 313, 337, 365, 391, 421, 449, 481, 511, 545, 577, 613, 647, 685, 721, 761, 799, 841, 881, 925, 967, ...

MCS249105 : A₀ = -1; A_K+1 = - A_K + K² + K (score: 5)

5, 7, 29, 47, 209, 383, 1889, 3839, 20789, 46079, 270269, 645119, 4054049, 10321919, 68918849, 185794559, 1309458149, 3715891199, 27498621149, 81749606399, 632468286449, ...

MCS53536 : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 + A_K-1 + K (score: 5)

5, 7, 41, 71, 493, 995, 7889, 17911, 157781, 394043, 3786745, 10245119, 106028861, 307353571, 3392923553, 10450021415, 122145247909, 397100813771, ...

MCS54274 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K-1 + 1 (score: 5)

5, 8, 11, 17, 25, 32, 39, 49, 61, 72, 83, 97, 113, 128, 143, 161, 181, 200, 219, 241, 265, 288, 311, 337, 365, 392, 419, 449, 481, 512, 543, 577, 613, 648, 683, 721, 761, 800, 839, 881, 925, 968, ...

MCS855173 : A₀ = 0; A₁ = -1; A_K+1 = - A_K-1 + K² (score: 5)

5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61, 65, 69, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 173, 177, ...

MCS14155 (alias MCS251712) : A_K = 4 K + 1 (score: 5)

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, ...

MCS1767 : A_K = 5 K (score: 5)

5, 10, 17, 30, 46, 66, 94, 127, 166, 215, 271, 335, 411, 496, 591, 700, 820, 952, 1100, 1261, 1436, 1629, 1837, 2061, 2305, 2566, 2845, 3146, 3466, 3806, 4170, 4555, 4962, 5395, 5851, 6331, 6839, ...

MCS6300726 : A₀ = 1; A₁ = 1; A₂ = 1; A_K+1 = A_K-2 + K² (score: 5)

5, 10, 18, 27, 39, 52, 68, 85, 105, 126, 150, 175, 203, 232, 264, 297, 333, 370, 410, 451, 495, 540, 588, 637, 689, 742, 798, 855, 915, 976, 1040, 1105, 1173, 1242, 1314, 1387, 1463, 1540, 1620, ...

MCS31154 : A₀ = 0; A_K+1 = - A_K + 2 K² - K (score: 5)

5, 10, 21, 35, 57, 84, 121, 165, 221, 286, 365, 455, 561, 680, 817, 969, 1141, 1330, 1541, 1771, 2025, 2300, 2601, 2925, 3277, 3654, 4061, 4495, 4961, 5456, 5985, 6545, 7141, 7770, 8437, 9139, ...

MCS3336 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + K² (score: 4)

5, 11, 15, 19, 27, 37, 45, 53, 65, 79, 91, 103, 119, 137, 153, 169, 189, 211, 231, 251, 275, 301, 325, 349, 377, 407, 435, 463, 495, 529, 561, 593, 629, 667, 703, 739, 779, 821, 861, 901, 945, ...

MCS3427462 : A₀ = 1; A₁ = 1; A_K+1 = - A_K-1 + K² + K (score: 5)

5, 11, 19, 29, 41, 55, 71, 89, 109, 131, 155, 181, 209, 239, 271, 305, 341, 379, 419, 461, 505, 551, 599, 649, 701, 755, 811, 869, 929, 991, 1055, 1121, 1189, 1259, 1331, 1405, 1481, 1559, 1639, ...

MCS7092 : A_K = K² + K - 1 (score: 4)

Same as Fibonacci polynomial N²-N-1 (A028387)

5, 11, 51, 161, 773, 3027, 15395, 69881, 377781, 1915163, 10981907, 60776145, 368269541, 2191553891, 13976179203, 88489011497, 591631462805, ...

MCS53762 : A₀ = 0; A₁ = 1; A_K+1 = A_K + 2 K A_K-1 (score: 5)

5, 12, 22, 35, 51, 70, 92, 117, 145, 176, 210, 247, 287, 330, 376, 425, 477, 532, 590, 651, 715, 782, 852, 925, 1001, 1080, 1162, 1247, 1335, 1426, 1520, 1617, 1717, 1820, 1926, 2035, 2147, 2262, ...

MCS7827 : A₀ = 0; A_K+1 = A_K + 3 K + 1 (score: 5)

5, 13, 24, 36, 48, 61, 77, 97, 120, 144, 168, 193, 221, 253, 288, 324, 360, 397, 437, 481, 528, 576, 624, 673, 725, 781, 840, 900, 960, 1021, 1085, 1153, 1224, 1296, 1368, 1441, 1517, 1597, 1680, ...

MCS860961 : A₀ = 0; A₁ = 0; A_K+1 = A_K - A_K-1 + K² (score: 5)

5, 13, 25, 41, 61, 85, 113, 145, 181, 221, 265, 313, 365, 421, 481, 545, 613, 685, 761, 841, 925, 1013, 1105, 1201, 1301, 1405, 1513, 1625, 1741, 1861, 1985, 2113, 2245, 2381, 2521, 2665, 2813, ...

MCS248176 : A₀ = 1; A_K+1 = A_K + 4 K (score: 5)

5, 13, 29, 61, 125, 253, 509, 1021, 2045, 4093, 8189, 16381, 32765, 65533, 131069, 262141, 524285, 1048573, 2097149, 4194301, 8388605, 16777213, 33554429, 67108861, 134217725, 268435453, ...

MCS126624 : A₀ = 1; A_N = 2 A_N-1 + 3 (score: 5)

5, 14, 27, 44, 65, 90, 119, 152, 189, 230, 275, 324, 377, 434, 495, 560, 629, 702, 779, 860, 945, 1034, 1127, 1224, 1325, 1430, 1539, 1652, 1769, 1890, 2015, 2144, 2277, 2414, 2555, 2700, 2849, ...

MCS28378 : A_K = 2 K² - K - 1 (score: 5)

5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201, 6930, 7714, 8555, 9455, 10416, 11440, 12529, 13685, 14910, ...

MCS1936 : A₀ = 0; A_K+1 = A_K + K² (score: 3)

Square Pyramidal numbers (A000330)

5, 15, 36, 76, 148, 273, 485, 839, 1424, 2384, 3952, 6505, 10653, 17383, 28292, 45964, 74580, 120905, 195885, 317231, 513600, 831360, 1345536, 2177521, 3523733, 5701983, 9226500, 14929324, ...

MCS860705 : A₀ = 0; A₁ = 0; A_K+1 = A_K + A_K-1 + K² (score: 5)

5, 15, 37, 83, 177, 367, 749, 1515, 3049, 6119, 12261, 24547, 49121, 98271, 196573, 393179, 786393, 1572823, 3145685, 6291411, 12582865, 25165775, 50331597, 100663243, 201326537, 402653127, ...

MCS15658 : A₀ = 0; A_K+1 = 2 A_K + 2 K + 1 (score: 5)

5, 17, 53, 161, 485, 1457, 4373, 13121, 39365, 118097, 354293, 1062881, 3188645, 9565937, 28697813, 86093441, 258280325, 774840977, 2324522933, 6973568801, 20920706405, 62762119217, 188286357653, ...

MCS125664 : A₀ = 1; A_N = 3 A_N-1 + 2 (score: 5)

5, 18, 58, 179, 543, 1636, 4916, 14757, 44281, 132854, 398574, 1195735, 3587219, 10761672, 32285032, 96855113, 290565357, 871696090, 2615088290, 7845264891, 23535794695, 70607384108, 211822152348, ...

MCS974 (alias MCS3918) : A₀ = 0; A_K+1 = 3 A_K + K (score: 4)

5, 19, 73, 317, 1621, 9775, 68489, 547993, 4932037, 49320491, 542525545, 6510306709, 84633987413, ...

MCS7780 : A₀ = 0; A_K+1 = K A_K - A_K + K² (score: 5)

5, 21, 85, 341, 1365, 5461, 21845, 87381, 349525, 1398101, 5592405, 22369621, 89478485, 357913941, 1431655765, 5726623061, 22906492245, 91625968981, 366503875925, ...

MCS3915 (alias MCS250592) : A₀ = 0; A_N = 4 A_N-1 + 1 (score: 5)

5, 23, 119, 719, 5039, 40319, 362879, 3628799, 39916799, 479001599, 6227020799, 87178291199, ...

MCS3876 : A₀ = 0; A_K+1 = K A_K + A_K + K (score: 4)

5, 25, 125, 625, 3125, 15625, 78125, 390625, 1953125, 9765625, 48828125, 244140625, 1220703125, 6103515625, 30517578125, 152587890625, 762939453125, ...

MCS62400 : A₀ = 1; A_N = 5 A_N-1 (score: 5)

Powers of 5 (A000351)

Horadam sequence W_n(1, 1; 0, 5)

5, 28, 200, 1805, 19861, 258200, 3873008, 65841145, 1250981765, 26270617076, 604224192760, ...

MCS15570 : A₀ = 0; A_K+1 = 2 K A_K - A_K + K (score: 5)

5, 29, 169, 985, 5741, 33461, 195025, 1136689, 6625109, 38613965, 225058681, 1311738121, 7645370045, 44560482149, 259717522849, ...

MCS13882118 : A₀ = 1; A₁ = 1; A_N = 6 A_N-1 - A_N-2 (score: 8)

2X²-1 is a square (A001653)

6, 0, 72, 0, 1296, 0, 31104, 0, 933120, 0, 33592320, 0, 1410877440, 0, 67722117120, 0, ...

MCS13315 : A₀ = 0; A₁ = 1; A_K+1 = 3 K A_K-1 (score: 5)

6, 4, 35, 30, 252, 248, 2277, 2490, 25058, 29892, 325767, 418502, 4886520, 6696048, 83070857, 120528882, 1578346302, 2410577660, 33145272363, 53032708542, 762341264372, ...

MCS856101 : A₀ = 0; A₁ = -1; A_K+1 = K A_K-1 + K (score: 5)

6, 9, 52, 95, 630, 1337, 10088, 24075, 201770, 529661, 4842492, 13771199, 135589790, 413135985, 4338873296, 14046623507, 156199438674, 533771693285, ...

MCS53506 : A₀ = 0; A₁ = 1; A_K+1 = 2 K A_K-1 + K (score: 5)

6, 11, 14, 19, 28, 37, 44, 53, 66, 79, 90, 103, 120, 137, 152, 169, 190, 211, 230, 251, 276, 301, 324, 349, 378, 407, 434, 463, 496, 529, 560, 593, 630, 667, 702, 739, 780, 821, 860, 901, 946, ...

MCS13420 : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + K² - K (score: 5)

6, 11, 28, 47, 92, 143, 248, 367, 596, 855, 1336, 1879, 2868, 3983, 5992, 8255, 12308, 16871, 25016, 34183, 50516, 68895, 101608, 138415, 203892, 277559, 408568, 555959, 818036, 1112879, 1637096, ...

MCS6676 : A₀ = 0; A₁ = 1; A_K+1 = 2 A_K-1 + K² (score: 5)

6, 12, 40, 85, 276, 644, 2272, 5877, 22820, 64768, 273984, 842153, 3835972, 12632520, 61375808, 214753129, 1104764868, 4080309812, 22095297760, 85686506493, 486096551204, ...

MCS13320 : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 + K² (score: 5)

6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378, 435, 496, 561, 630, 703, 780, 861, 946, 1035, 1128, 1225, 1326, 1431, 1540, 1653, 1770, 1891, 2016, 2145, 2278, 2415, 2556, 2701, 2850, ...

MCS7066 : A_K = 2 K² - K (score: 4)

6, 16, 30, 48, 70, 96, 126, 160, 198, 240, 286, 336, 390, 448, 510, 576, 646, 720, 798, 880, 966, 1056, 1150, 1248, 1350, 1456, 1566, 1680, 1798, 1920, 2046, 2176, 2310, 2448, 2590, 2736, 2886, ...

MCS28338 : A_K = 2 K² - 2 (score: 5)

6, 17, 36, 65, 106, 161, 232, 321, 430, 561, 716, 897, 1106, 1345, 1616, 1921, 2262, 2641, 3060, 3521, 4026, 4577, 5176, 5825, 6526, 7281, 8092, 8961, 9890, 10881, 11936, 13057, 14246, 15505, ...

MCS504968 : A₀ = 1; A_K+1 = A_K + K² + K - 1 (score: 5)

6, 18, 42, 78, 132, 204, 300, 420, 570, 750, 966, 1218, 1512, 1848, 2232, 2664, 3150, 3690, 4290, 4950, 5676, 6468, 7332, 8268, 9282, 10374, 11550, 12810, 14160, 15600, 17136, 18768, 20502, 22338, ...

MCS15576 : A₀ = 0; A_K+1 = - A_K + K³ - K (score: 5)

6, 21, 58, 141, 318, 685, 1434, 2949, 5998, 12117, 24378, 48925, 98046, 196317, 392890, 786069, 1572462, 3145285, 6290970, 12582381, 25165246, 50331021, 100662618, 201325861, 402652398, 805305525, ...

MCS3880 : A₀ = 0; A_K+1 = 2 A_K + K² (score: 4)

6, 24, 60, 120, 210, 336, 504, 720, 990, 1320, 1716, 2184, 2730, 3360, 4080, 4896, 5814, 6840, 7980, 9240, 10626, 12144, 13800, 15600, 17550, 19656, 21924, 24360, 26970, 29760, 32736, 35904, ...

MCS3532 : A_K = K³ - K (score: 4)

6, 27, 112, 453, 1818, 7279, 29124, 116505, 466030, 1864131, 7456536, 29826157, 119304642, 477218583, 1908874348, 7635497409, 30541989654, 122167958635, 488671834560, ...

MCS3886 : A₀ = 0; A_K+1 = 4 A_K + K (score: 5)

6, 27, 124, 645, 3906, 27391, 219192, 1972809, 19728190, 217010211, 2604122676, 33853594957, 473950329594, ...

MCS1924 (alias MCS30792, MCS61585) : A₀ = 0; A_K+1 = K A_K + K² (score: 4)

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