Munafo's Classical Sequences

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2, 5, 18, 87, 518, 3621, 28962, 260651, 2606502, 28671513, 344058146, 4472755887, 62618582406, 939278736077, ...

MCS15654 (alias MCS248528) : A₀ = 0; A_K+1 = K A_K + A_K - K + 1 (score: 5)

2, 5, 19, 93, 553, 3852, 30723, 275954, 2755688, 30281845, 363106186, 4717624730, 66016464375, 989883859439, ...

MCS197169 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = K A_K - A_K-2 (score: 5)

2, 5, 22, 137, 1118, 11317, 136922, 1928225, 30988522, 559721621, 11225420942, 247518982345, ...

MCS427168 : A₀ = 1; A₁ = 2; A_K+1 = 2 K A_K + A_K-1 (score: 5)

2, 6, 10, 12, 12, 12, 14, 18, 22, 24, 24, 24, 26, 30, 34, 36, 36, 36, 38, 42, 46, 48, 48, 48, 50, 54, 58, 60, 60, 60, 62, 66, 70, 72, 72, 72, 74, 78, 82, 84, 84, 84, 86, 90, 94, 96, 96, 96, 98, ...

MCS1723073 : A₀ = 0; A₁ = 0; A_K+1 = A_K - A_K-1 + 2 K (score: 5)

2, 6, 10, 14, 20, 28, 36, 44, 54, 66, 78, 90, 104, 120, 136, 152, 170, 190, 210, 230, 252, 276, 300, 324, 350, 378, 406, 434, 464, 496, 528, 560, 594, 630, 666, 702, 740, 780, 820, 860, 902, 946, ...

MCS856865 (alias MCS858913) : A₀ = 0; A₁ = 0; A_K+1 = - A_K-1 + K² + K (score: 5)

2, 6, 10, 20, 30, 52, 74, 120, 166, 260, 354, 544, 734, 1116, 1498, 2264, 3030, 4564, 6098, 9168, 12238, 18380, 24522, 36808, 49094, 73668, 98242, 147392, 196542, 294844, 393146, 589752, 786358, ...

MCS6698 : A₀ = 0; A₁ = 1; A_K+1 = 2 A_K-1 + 2 K (score: 5)

2, 6, 10, 23, 36, 76, 116, 237, 358, 722, 1086, 2179, 3272, 6552, 9832, 19673, 29514, 59038, 88562, 177135, 265708, 531428, 797148, 1594309, 2391470, 4782954, 7174438, 14348891, 21523344, ...

MCS428481 : A₀ = 0; A₁ = 0; A_K+1 = 3 A_K-1 + K (score: 5)

2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462, 506, 552, 600, 650, 702, 756, 812, 870, 930, 992, 1056, 1122, 1190, 1260, 1332, 1406, 1482, 1560, ...

MCS1764 (alias MCS1766, MCS1938, MCS7778, MCS15698)

A_K = K² + K (score: 3)

Semisquare (or Promic) numbers (A002378)

2, 6, 12, 23, 38, 60, 88, 125, 170, 226, 292, 371, 462, 568, 688, 825, 978, 1150, 1340, 1551, 1782, 2036, 2312, 2613, 2938, 3290, 3668, 4075, 4510, 4976, 5472, 6001, 6562, 7158, 7788, 8455, 9158, ...

MCS13576 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + K² + 1 (score: 5)

2, 6, 12, 32, 70, 204, 504, 1648, 4554, 16500, 50116, 198024, 651534, 2772364, 9773040, 44357856, 166141714, 798441444, 3156692604, 15968828920, 66290544726, 351314236284, ...

MCS26784 : A₀ = 0; A₁ = 1; A_K+1 = K A_K-1 + 2 K (score: 5)

2, 6, 12, 35, 78, 252, 632, 2277, 6330, 25058, 75972, 325767, 1063622, 4886520, 17017968, 83070857, 306323442, 1578346302, 6126468860, 33145272363, 134782314942, 762341264372, ...

MCS214025 : A₀ = 0; A₁ = 0; A_K+1 = K A_K-1 + K (score: 4)

2, 6, 13, 23, 36, 52, 71, 93, 118, 146, 177, 211, 248, 288, 331, 377, 426, 478, 533, 591, 652, 716, 783, 853, 926, 1002, 1081, 1163, 1248, 1336, 1427, 1521, 1618, 1718, 1821, 1927, 2036, 2148, ...

MCS250480 : A₀ = 1; A_K+1 = A_K + 3 K + 1 (score: 5)

2, 6, 13, 29, 60, 124, 251, 507, 1018, 2042, 4089, 8185, 16376, 32760, 65527, 131063, 262134, 524278, 1048565, 2097141, 4194292, 8388596, 16777203, 33554419, 67108850, 134217714, 268435441, ...

MCS13458 : A₀ = 0; A₁ = 1; A_K+1 = A_K + 2 A_K-1 + K (score: 5)

2, 6, 14, 26, 44, 68, 100, 140, 190, 250, 322, 406, 504, 616, 744, 888, 1050, 1230, 1430, 1650, 1892, 2156, 2444, 2756, 3094, 3458, 3850, 4270, 4720, 5200, 5712, 6256, 6834, 7446, 8094, 8778, ...

MCS856609 (alias MCS858657) : A₀ = 0; A₁ = 0; A_K+1 = A_K-1 + K² + K (score: 5)

2, 6, 14, 28, 52, 92, 158, 266, 442, 728, 1192, 1944, 3162, 5134, 8326, 13492, 21852, 35380, 57270, 92690, 150002, 242736, 392784, 635568, 1028402, 1664022, 2692478, 4356556, 7049092, 11405708, ...

MCS1723009 : A₀ = 0; A₁ = 0; A_K+1 = A_K + A_K-1 + 2 K (score: 5)

2, 6, 14, 30, 62, 126, 254, 510, 1022, 2046, 4094, 8190, 16382, 32766, 65534, 131070, 262142, 524286, 1048574, 2097150, 4194302, 8388606, 16777214, 33554430, 67108862, 134217726, 268435454, ...

MCS1962 (alias MCS251201, MCS502402) : A₀ = 0; A_N = 2 A_N-1 + 2 (score: 4)

2, 6, 15, 31, 56, 92, 141, 205, 286, 386, 507, 651, 820, 1016, 1241, 1497, 1786, 2110, 2471, 2871, 3312, 3796, 4325, 4901, 5526, 6202, 6931, 7715, 8556, 9456, 10417, 11441, 12530, 13686, 14911, ...

MCS30984 : A₀ = 1; A_K+1 = A_K + K² (score: 3)

Pyramid numbers Plus One (A056520)

2, 6, 15, 36, 90, 234, 651, 1896, 5886, 18990, 64779, 227916, 842166, 3190866, 12632535, 51053904, 214753146, 918970326, 4080309831, 18379406580, 85686506514, 404346944826, ...

MCS859153 : A₀ = -1; A₁ = 0; A_K+1 = K A_K-1 + 3 K (score: 7)

Not related to Pell numbers

2, 6, 15, 37, 90, 218, 527, 1273, 3074, 7422, 17919, 43261, 104442, 252146, 608735, 1469617, 3547970, 8565558, 20679087, 49923733, 120526554, 290976842, 702480239, 1695937321, 4094354882, ...

MCS1741952 : A₀ = 1; A₁ = 2; A_N = 2 A_N-1 + A_N-2 + 1 (score: 5)

Related to Pell numbers (A098790)

2, 6, 15, 40, 100, 276, 749, 2272, 6822, 22820, 75163, 273984, 977288, 3835972, 14659545, 61375808, 249212554, 1104764868, 4735038887, 22095297760, 99435817068, 486096551204, ...

MCS852518 : A₀ = 1; A₁ = 1; A_K+1 = K A_K-1 + K² (score: 5)

2, 6, 15, 40, 104, 273, 714, 1870, 4895, 12816, 33552, 87841, 229970, 602070, 1576239, 4126648, 10803704, 28284465, 74049690, 193864606, 507544127, 1328767776, 3478759200, 9107509825, 23843770274, ...

MCS100945 : A₀ = 0; A₁ = 1; A₂ = 2; A_N = 2 A_N-1 + 2 A_N-2 - A_N-3 (score: 7)

Golden rectangle: product of consecutive Fibonacci numbers (A001654)

2, 6, 15, 43, 123, 387, 1255, 4359, 15663, 59263, 231567, 942735, 3953119, 17151423, 76448223, 350871007, 1650490815, 7966168959, 39325494463, 198648873663, ...

MCS53824 : A₀ = 0; A₁ = 1; A_K+1 = A_K + K A_K-1 + K (score: 5)

2, 6, 15, 46, 137, 460, 1557, 5698, 21269, 83948, 339177, 1430502, 6178981, 27636512, 126500209, 596320914, 2873324677, 14203422044, 71669915585, 369941778510, ...

MCS870409 : A₀ = 0; A₁ = 0; A_K+1 = A_K + K A_K-1 + 1 (score: 5)

2, 6, 16, 38, 84, 178, 368, 750, 1516, 3050, 6120, 12262, 24548, 49122, 98272, 196574, 393180, 786394, 1572824, 3145686, 6291412, 12582866, 25165776, 50331598, 100663244, 201326538, 402653128, ...

MCS124240 : A₀ = 1; A_K+1 = 2 A_K + 2 K (score: 4)

2, 6, 16, 41, 102, 250, 608, 1473, 3562, 8606, 20784, 50185, 121166, 292530, 706240, 1705025, 4116306, 9937654, 23991632, 57920937, 139833526, 337588010, 815009568, 1967607169, 4750223930, ...

MCS1725568 : A₀ = 1; A₁ = 2; A_K+1 = 2 A_K + A_K-1 + K (score: 5)

2, 6, 16, 44, 120, 328, 896, 2448, 6688, 18272, 49920, 136384, 372608, 1017984, 2781184, 7598336, 20759040, 56714752, 154947584, 423324672, 1156544512, 3159738368, 8632565760, 23584608256, ...

MCS6738 (alias MCS862528) : A₀ = 0; A₁ = 1; A_N = 2 A_N-1 + 2 A_N-2 (score: 5)

Horadam sequence W_n(0, 1; 2, 2) ; Horadam sequence W_n(1, 2; 2, 2)

2, 6, 17, 49, 144, 428, 1279, 3831, 11486, 34450, 103341, 310013, 930028, 2790072, 8370203, 25110595, 75331770, 225995294, 677985865, 2033957577, 6101872712, 18305618116, 54916854327, ...

MCS249538 : A₀ = 2; A_K+1 = 3 A_K - K (score: 5)

2, 6, 18, 48, 116, 262, 566, 1188, 2448, 4986, 10082, 20296, 40748, 81678, 163566, 327372, 655016, 1310338, 2621018, 5242416, 10485252, 20970966, 41942438, 83885428, 167771456, 335543562, ...

MCS248456 : A₀ = 1; A_K+1 = 2 A_K + K² + 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, ...

MCS62338 : A₀ = 2; A_N = 3 A_N-1 (score: 4)

Powers of 3 times 2

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

2, 6, 18, 60, 210, 780, 3030, 12300, 51870, 226740, 1024050, 4768980, 22850610, 112466940, 567693030, 2934857100, 15520495710, 83868419220, 462626256930, ...

MCS26944 : A₀ = 0; A₁ = 1; A_K+1 = 2 A_K + K A_K-1 (score: 5)

2, 6, 18, 62, 258, 1302, 7826, 54798, 438402, 3945638, 39456402, 434020446, 5208245378, 67707189942, 947900659218, ...

MCS7786 : A₀ = 0; A_K+1 = K A_K - A_K + 2 K (score: 5)

2, 6, 19, 59, 180, 544, 1637, 4917, 14758, 44282, 132855, 398575, 1195736, 3587220, 10761673, 32285033, 96855114, 290565358, 871696091, 2615088291, 7845264892, 23535794696, 70607384109, ...

MCS249474 (alias MCS252832) : A₀ = 2; A_K+1 = 3 A_K + K (score: 5)

2, 6, 20, 58, 148, 346, 764, 1626, 3380, 6922, 14044, 28330, 56948, 114234, 228860, 458170, 916852, 1834282, 3669212, 7339146, 14679092, 29359066, 58719100, 117439258, 234879668, 469760586, ...

MCS124180 : A₀ = 1; A_K+1 = 2 A_K + 2 K² (score: 5)

2, 6, 20, 82, 412, 2474, 17320, 138562, 1247060, 12470602, 137176624, 1646119490, 21399553372, 299593747210, ...

MCS7848 : A₀ = 0; A_K+1 = K A_K + A_K + 2 (score: 5)

2, 6, 21, 88, 445, 2676, 18739, 149920, 1349289, 13492900, 148421911, 1781062944, 23153818285, 324153456004, ...

MCS500880 : A₀ = 1; A_K+1 = K A_K + A_K + K + 1 (score: 5)

2, 6, 21, 91, 477, 2954, 21156, 172203, 1570984, 15882044, 176273469, 2131163673, 27881401219, 392470780740, ...

MCS6788 : A₀ = 0; A₁ = 1; A_K+1 = K A_K + A_K-1 + 1 (score: 5)

2, 6, 23, 110, 638, 4357, 34219, 303615, 3001932, 32717638, 389609725, 5032208788, 70061313308, ...

MCS3476742 : A₀ = 1; A₁ = 1; A_K+1 = K A_K - A_K-1 + 1 (score: 5)

2, 6, 23, 113, 672, 4681, 37335, 335343, 3348749, 36798904, 441251505, 5732920816, 80224092520, ...

MCS394337 : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = K A_K - A_K-2 (score: 5)

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

MCS30992 (alias MCS62096, MCS853030) : A₀ = 1; A_K+1 = K A_K + A_K (score: 3)

Factorials (A000142)

2, 6, 25, 127, 768, 5401, 43335, 390783, 3913231, 43088876, 517457295, 6730858066, 94275101800, ...

MCS394305 : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = K A_K + A_K-2 (score: 5)

2, 6, 25, 130, 804, 5757, 46859, 427487, 4321728, 47966494, 579919655, 7586922008, 106796827766, ...

MCS3508486 : A₀ = 1; A₁ = 1; A_K+1 = K A_K + A_K-1 - 1 (score: 5)

2, 6, 26, 158, 1266, 12662, 151946, 2127246, 34035938, 612646886, 12252937722, 269564629886, ...

MCS7842 (alias MCS125480) : A₀ = 0; A_K+1 = 2 K A_K + 2 (score: 5)

2, 7, 12, 21, 30, 43, 56, 73, 90, 111, 132, 157, 182, 211, 240, 273, 306, 343, 380, 421, 462, 507, 552, 601, 650, 703, 756, 813, 870, 931, 992, 1057, 1122, 1191, 1260, 1333, 1406, 1483, 1560, ...

MCS31330 : A₀ = 0; A_K+1 = - A_K + 2 K² + 1 (score: 5)

2, 7, 14, 23, 34, 47, 62, 79, 98, 119, 142, 167, 194, 223, 254, 287, 322, 359, 398, 439, 482, 527, 574, 623, 674, 727, 782, 839, 898, 959, 1022, 1087, 1154, 1223, 1294, 1367, 1442, 1519, 1598, ...

MCS14186 : A_K = K² + 2 K - 1 (score: 5)

2, 7, 14, 27, 44, 69, 100, 141, 190, 251, 322, 407, 504, 617, 744, 889, 1050, 1231, 1430, 1651, 1892, 2157, 2444, 2757, 3094, 3459, 3850, 4271, 4720, 5201, 5712, 6257, 6834, 7447, 8094, 8779, ...

MCS13384 : A₀ = 0; A₁ = 1; A_K+1 = A_K-1 + K² + K (score: 5)

2, 7, 14, 47, 104, 383, 944, 3839, 10394, 46079, 135134, 645119, 2027024, 10321919, 34459424, 185794559, 654729074, 3715891199, 13749310574, 81749606399, 316234143224, ...

MCS856585 (alias MCS877577) : A₀ = 0; A₁ = 0; A_K+1 = K A_K-1 + A_K-1 + K (score: 5)

2, 7, 15, 26, 40, 57, 77, 100, 126, 155, 187, 222, 260, 301, 345, 392, 442, 495, 551, 610, 672, 737, 805, 876, 950, 1027, 1107, 1190, 1276, 1365, 1457, 1552, 1650, 1751, 1855, 1962, 2072, 2185, ...

MCS252528 : A₀ = 1; A_K+1 = A_K + 3 K - 1 (score: 5)

2, 7, 16, 25, 34, 47, 64, 81, 98, 119, 144, 169, 194, 223, 256, 289, 322, 359, 400, 441, 482, 527, 576, 625, 674, 727, 784, 841, 898, 959, 1024, 1089, 1154, 1223, 1296, 1369, 1442, 1519, 1600, ...

MCS13362 : A₀ = 0; A₁ = 1; A_K+1 = - A_K-1 + 2 K² (score: 5)

2, 7, 16, 29, 46, 67, 92, 121, 154, 191, 232, 277, 326, 379, 436, 497, 562, 631, 704, 781, 862, 947, 1036, 1129, 1226, 1327, 1432, 1541, 1654, 1771, 1892, 2017, 2146, 2279, 2416, 2557, 2702, 2851, ...

MCS28314 : A_K = 2 K² - K + 1 (score: 5)

2, 7, 17, 34, 60, 97, 147, 212, 294, 395, 517, 662, 832, 1029, 1255, 1512, 1802, 2127, 2489, 2890, 3332, 3817, 4347, 4924, 5550, 6227, 6957, 7742, 8584, 9485, 10447, 11472, 12562, 13719, 14945, ...

MCS250385 : A₀ = -1; A_K+1 = A_K + K² + 1 (score: 5)

2, 7, 18, 41, 84, 161, 294, 519, 894, 1513, 2528, 4185, 6882, 11263, 18370, 29889, 48548, 78761, 127670, 206831, 334942, 542257, 877728, 1420561, 2298914, 3720151, 6019794, 9740729, 15761364, ...

MCS13448 : A₀ = 0; A₁ = 1; A_K+1 = A_K + A_K-1 + K² (score: 5)

2, 7, 18, 41, 88, 183, 374, 757, 1524, 3059, 6130, 12273, 24560, 49135, 98286, 196589, 393196, 786411, 1572842, 3145705, 6291432, 12582887, 25165798, 50331621, 100663268, 201326563, 402653154, ...

MCS7850 : A₀ = 0; A_K+1 = 2 A_K + K + 2 (score: 5)

2, 7, 20, 49, 110, 235, 488, 997, 2018, 4063, 8156, 16345, 32726, 65491, 131024, 262093, 524234, 1048519, 2097092, 4194241, 8388542, 16777147, 33554360, 67108789, 134217650, 268435375, 536870828, ...

MCS124272 : A₀ = 1; A_K+1 = 2 A_K + 3 K (score: 5)

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

MCS6739 : A₀ = 0; A₁ = 1; A_N = 2 A_N-1 + 3 A_N-2 (score: 6)

Horadam sequence W_n(0, 1; 3, 2)

2, 7, 21, 44, 82, 135, 209, 304, 426, 575, 757, 972, 1226, 1519, 1857, 2240, 2674, 3159, 3701, 4300, 4962, 5687, 6481, 7344, 8282, 9295, 10389, 11564, 12826, 14175, 15617, 17152, 18786, 20519, ...

MCS125316 : A₀ = 1; A_K+1 = - A_K + K³ + 1 (score: 5)

2, 7, 22, 59, 142, 319, 686, 1435, 2950, 5999, 12118, 24379, 48926, 98047, 196318, 392891, 786070, 1572463, 3145286, 6290971, 12582382, 25165247, 50331022, 100662619, 201325862, 402652399, ...

MCS252552 : A₀ = 1; A_K+1 = 2 A_K + K² - 1 (score: 5)

2, 7, 22, 67, 202, 607, 1822, 5467, 16402, 49207, 147622, 442867, 1328602, 3985807, 11957422, 35872267, 107616802, 322850407, 968551222, 2905653667, 8716961002, 26150883007, 78452649022, ...

MCS250754 : A₀ = 2; A_N = 3 A_N-1 + 1 (score: 5)

2, 7, 23, 76, 251, 829, 2738, 9043, 29867, 98644, 325799, 1076041, 3553922, 11737807, 38767343, 128039836, 422886851, 1396700389, 4612988018, 15235664443, 50319981347, 166195608484, 548906806799, ...

MCS433280 : A₀ = 1; A₁ = 2; A_N = 3 A_N-1 + A_N-2 (score: 5)

Horadam sequence W_n(1, 2; 1, 3)

2, 7, 26, 115, 606, 3757, 26912, 219061, 1998470, 20203771, 224239962, 2711083327, 35468323226, 499267608505, ...

MCS6692 : A₀ = 0; A₁ = 1; A_K+1 = K A_K + A_K-1 + K (score: 5)

2, 7, 29, 147, 889, 6252, 50163, 452356, 4529812, 49878095, 598989496, 7791393260, 109129383735, ...

MCS197153 : A₀ = 0; A₁ = 1; A₂ = 1; A_K+1 = K A_K + A_K-2 (score: 5)

2, 7, 30, 153, 922, 6459, 51678, 465109, 4651098, 51162087, 613945054, 7981285713, 111737999994, ...

MCS248464 : A₀ = 1; A_K+1 = K A_K + 2 A_K + K (score: 5)

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

MCS6724 (alias MCS6756, MCS3417110) : A₀ = 0; A₁ = 1; A_K+1 = K A_K + A_K + A_K-1 (score: 5)

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

MCS1670 (alias MCS3443974) : A₀ = 0; A₁ = 1; A_K+1 = K A_K - A_K-1 (score: 4)

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

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

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

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

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

MCS15666 (alias MCS250408) : A₀ = 0; A_K+1 = 2 K A_K - A_K + 1 (score: 5)

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

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

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

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

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

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

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

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

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

MCS1762 : A_K = 2 K² (score: 3)

2 N²; number of electrons per ''shell'' (A001105)

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

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

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

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

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

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

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

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

2, 8, 26, 80, 242, 728, 2186, 6560, 19682, 59048, 177146, 531440, 1594322, 4782968, 14348906, 43046720, 129140162, 387420488, 1162261466, 3486784400, 10460353202, 31381059608, 94143178826, ...

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

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

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

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

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

Horadam sequence W_n(2, 2; 0, 4)

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

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

Even semifactorials (A000165)

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

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

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

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

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

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

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

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

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

MCS3536 : A_K = K³ + 1 (score: 4)

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

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

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

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

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

MCS7067 : A_K = 3 K² - K (score: 5)

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

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

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

MCS3528 : A_K = K³ + K (score: 4)

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

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

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

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

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

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

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

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

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

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

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