Minimally Complex Sequences

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2, 1, -4, -15, -34, -63, -104, -159, -230, -319, -428, -559, -714, -895, -1104, -1343, -1614, -1919, -2260, -2639, -3058, -3519, -4024, -4575, -5174, -5823, -6524, -7279, -8090, -8959, -9888, ...

MCS62609 (alias MCS500940) : A₀ = 0; A_K+1 = A_K - K² + K + 1 (score: 5)

2, 1, -4, -17, -46, -107, -232, -485, -994, -2015, -4060, -8153, -16342, -32723, -65488, -131021, -262090, -524231, -1048516, -2097089, -4194238, -8388539, -16777144, -33554357, -67108786, ...

MCS497136 : A₀ = 1; A_K+1 = 2 A_K - 3 K (score: 5)

2, 1, -5, 6, 0, -11, 17, -6, -22, 45, -29, -38, 112, -103, -47, 262, -318, 9, 571, -898, 336, 1133, -2367, 1570, 1930, -5867, 5507, 2290, -13664, 16881, -927, -29618, 47426, -18735, -58309, ...

MCS812577 : A₀ = 0; A₁ = 1; A₂ = 1; A_N = - A_N-1 - A_N-2 + A_N-3 (score: 5)

2, 1, -5, -3, 26, 19, -181, -151, 1630, 1511, -17929, -18131, 233078, 253835, -3496169, -4061359, 59434874, 73104463, -1129262605, -1462089259, 23714514706, 32165963699, -545433838237, ...

MCS434201 : A₀ = -1; A₁ = 0; A_K+1 = - K A_K-1 + 1 (score: 5)

2, 1, -5, -8, 7, 31, 10, -83, -113, 136, 475, 67, -1358, -1559, 2515, 7192, -353, -21929, -20870, 44917, 107527, -27224, -349805, -268133, 781282, 1585681, -758165, -5515208, -3240713, 13304911, ...

MCS110227546 : A₀ = 2; A₁ = 1; A_N = A_N-1 - 3 A_N-2 (score: 7)

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

2, 1, -6, -23, -54, -103, -174, -271, -398, -559, -758, -999, -1286, -1623, -2014, -2463, -2974, -3551, -4198, -4919, -5718, -6599, -7566, -8623, -9774, -11023, -12374, -13831, -15398, -17079, ...

MCS500780 : A₀ = 1; A_K+1 = A_K - 2 K² + 1 (score: 5)

2, 1, -6, -25, -62, -123, -214, -341, -510, -727, -998, -1329, -1726, -2195, -2742, -3373, -4094, -4911, -5830, -6857, -7998, -9259, -10646, -12165, -13822, -15623, -17574, -19681, -21950, -24387, ...

MCS14161 : A_K = - K³ + 2 (score: 5)

2, 1, -6, -27, -78, -191, -430, -923, -1926, -3951, -8022, -16187, -32542, -65279, -130782, -261819, -523926, -1048175, -2096710, -4193819, -8388078, -16776639, -33553806, -67108187, -134216998, ...

MCS31313 : A₀ = 0; A_K+1 = 2 A_K - K² + 1 (score: 5)

2, 2, 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, ...

MCS62104 (alias MCS124002) : A₀ = 1; A_K+1 = - K A_K + 2 A_K (score: 4)

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

MCS6701452 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K - 1 (score: 5)

2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, ...

MCS436417 (alias MCS218208, MCS6982682) : A₀ = 0; A₁ = 0; A_N = - A_N-2 + 2 (score: 4)

2, 2, 0, 0, -1, -4, -5, -7, -11, -13, -16, -21, -24, -28, -34, -38, -43, -50, -55, -61, -69, -75, -82, -91, -98, -106, -116, -124, -133, -144, -153, -163, -175, -185, -196, -209, -220, -232, -246, ...

MCS6578444 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 - K + 1 (score: 5)

2, 2, 0, 0, -2, -2, -4, -4, -6, -6, -8, -8, -10, -10, -12, -12, -14, -14, -16, -16, -18, -18, -20, -20, -22, -22, -24, -24, -26, -26, -28, -28, -30, -30, -32, -32, -34, -34, -36, -36, -38, -38, ...

MCS13994010 : A₀ = 2; A₁ = 2; A_N = A_N-2 - 2 (score: 5)

2, 2, 0, 0, 10, 12, -56, -80, 522, 820, -5720, -9816, 74386, 137452, -1115760, -2199200, 18967954, 39585636, -360391088, -791712680, 7568212890, 17417679004, -174068896424, -418024296048, ...

MCS53569 : A₀ = 0; A₁ = 1; A_K+1 = - K A_K-1 + 2 K (score: 5)

2, 2, 0, 1, 0, -5, -4, -7, -18, -17, -24, -47, -46, -61, -108, -107, -138, -233, -232, -295, -486, -485, -612, -995, -994, -1249, -2016, -2015, -2526, -4061, -4060, -5083, -8154, -8153, -10200, ...

MCS3195532 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = 2 A_K-2 - K (score: 5)

2, 2, 0, 1, 1, -1, 0, 0, -2, -1, -1, -3, -2, -2, -4, -3, -3, -5, -4, -4, -6, -5, -5, -7, -6, -6, -8, -7, -7, -9, -8, -8, -10, -9, -9, -11, -10, -10, -12, -11, -11, -13, -12, -12, -14, -13, -13, ...

MCS1671436 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-3 - 1 (score: 4)

2, 2, 0, 1, 3, 0, -1, 4, 2, -4, 3, 7, -6, -3, 14, -2, -16, 17, 15, -32, 3, 48, -34, -44, 83, 11, -126, 73, 138, -198, -64, 337, -133, -400, 471, 268, -870, 204, 1139, -1073, -934, 2213, -138, ...

MCS6566156 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-2 + A_N-3 + 1 (score: 5)

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

MCS13913114 : A₀ = 2; A₁ = 2; A_K+1 = - A_K-1 + K + 1 (score: 5)

2, 2, 0, 2, 0, 6, 0, 30, 0, 210, 0, 1890, 0, 20790, 0, 270270, 0, 4054050, 0, 68918850, 0, 1309458150, 0, 27498621150, 0, 632468286450, 0, ...

MCS3420314 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 - A_K-1 (score: 5)

2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, ...

MCS196742 : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-3 (score: 4)

2, 2, 0, 2, 4, -2, 0, 10, -4, -10, 24, 2, -44, 46, 48, -134, 44, 230, -312, -142, 772, -482, -1056, 2026, 92, -4138, 3960, 4322, -12236, 3598, 20880, -28070, -13684, 69830, -42456, -97198, 182116, ...

MCS3170956 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-2 + 2 A_N-3 (score: 5)

2, 2, 0, 2, 6, 6, 4, 6, 10, 10, 8, 10, 14, 14, 12, 14, 18, 18, 16, 18, 22, 22, 20, 22, 26, 26, 24, 26, 30, 30, 28, 30, 34, 34, 32, 34, 38, 38, 36, 38, 42, 42, 40, 42, 46, 46, 44, 46, 50, 50, 48, ...

MCS6859802 : A₀ = 2; A₁ = 2; A_K+1 = - A_K-1 + 2 K (score: 5)

2, 2, 0, 2, -2, 4, -6, 10, -16, 26, -42, 68, -110, 178, -288, 466, -754, 1220, -1974, 3194, -5168, 8362, -13530, 21892, -35422, 57314, -92736, 150050, -242786, 392836, -635622, 1028458, -1664080, ...

MCS3459098 : A₀ = 2; A₁ = 2; A_N = - A_N-1 + A_N-2 (score: 4)

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

2, 2, 0, 2, -4, 18, -88, 530, -3708, 29666, -266992, 2669922, -29369140, 352429682, -4581585864, 64142202098, -962133031468, ...

MCS15697 (alias MCS250978) : A₀ = 0; A_K+1 = - K A_K + A_K + 2 (score: 5)

2, 2, 0, 2, -6, 26, -136, 842, -6030, 49082, -447768, 4526762, -50242150, 607432562, -7946865456, 111863548946, ...

MCS3417626 : A₀ = 2; A₁ = 2; A_K+1 = - K A_K + A_K-1 (score: 5)

2, 2, 0, 3, 0, 1, 3, -2, 4, 0, -1, 6, -5, 5, 2, -6, 12, -9, 4, 9, -17, 22, -12, -4, 27, -38, 35, -7, -30, 66, -72, 43, 24, -95, 139, -114, 20, 120, -233, 254, -133, -99, 354, -486, 388, -33, -452, ...

MCS6603020 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-1 + A_N-3 + 1 (score: 5)

2, 2, 0, 3, 3, 1, 4, 4, 2, 5, 5, 3, 6, 6, 4, 7, 7, 5, 8, 8, 6, 9, 9, 7, 10, 10, 8, 11, 11, 9, 12, 12, 10, 13, 13, 11, 14, 14, 12, 15, 15, 13, 16, 16, 14, 17, 17, 15, 18, 18, 16, 19, 19, 17, 20, ...

MCS3461894 : A₀ = 1; A₁ = 1; A_K+1 = - A_K - A_K-1 + K (score: 4)

2, 2, 0, 4, 0, 0, 8, -8, 8, 8, -24, 40, -24, -24, 104, -152, 104, 104, -408, 616, -408, -408, 1640, -2456, 1640, 1640, -6552, 9832, -6552, -6552, 26216, -39320, 26216, 26216, -104856, 157288, ...

MCS3244684 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-1 + 2 A_N-3 (score: 5)

2, 2, 0, 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, 0, ...

MCS98385 (alias MCS393542, MCS12593334) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = 2 A_N-3 (score: 4)

2, 2, 0, 4, -4, 20, -40, 160, -440, 1720, -5680, 22880, -85360, 359920, -1469600, 6508480, -28552480, 132688160, -618080320, 3006467200, -14749993280, 74879337280, -384629196160, ...

MCS3457178 : A₀ = 2; A₁ = 2; A_K+1 = - A_K + K A_K-1 (score: 5)

2, 2, 0, -1, 0, 5, 8, 7, -2, -7, -4, 15, 26, 21, -16, -37, -26, 49, 92, 71, -78, -163, -120, 179, 350, 265, -332, -673, -502, 693, 1376, 1035, -1354, -2719, -2036, 2743, 5474, 4109, -5448, -10909, ...

MCS6358412 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - 2 A_K-2 + K (score: 5)

2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, 1, 2, 2, 0, -1, -1, ...

MCS1638796 (alias MCS6555189) : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-3 + 1 (score: 4)

2, 2, 0, -1, -3, -2, -3, 0, -2, 2, -3, 3, -6, 5, -10, 10, -16, 19, -27, 34, -47, 60, -82, 106, -143, 187, -250, 329, -438, 578, -768, 1015, -1347, 1782, -2363, 3128, -4146, 5490, -7275, 9635, ...

MCS6693260 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 - A_N-3 - 1 (score: 5)

2, 2, 0, -1, -4, -6, -10, -13, -18, -22, -28, -33, -40, -46, -54, -61, -70, -78, -88, -97, -108, -118, -130, -141, -154, -166, -180, -193, -208, -222, -238, -253, -270, -286, -304, -321, -340, ...

MCS14051354 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 - K - 1 (score: 5)

2, 2, 0, -2, 0, 6, 0, -30, 0, 210, 0, -1890, 0, 20790, 0, -270270, 0, 4054050, 0, -68918850, 0, 1309458150, 0, -27498621150, 0, 632468286450, 0, ...

MCS3416282 : A₀ = 2; A₁ = 2; A_K+1 = - K A_K-1 + A_K-1 (score: 5)

2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, 0, 2, 2, 0, -2, -2, ...

MCS107616 (alias MCS196806, MCS3443738) : A₀ = 0; A₁ = 2; A_N = A_N-1 - A_N-2 (score: 4)

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

2, 2, 0, -2, -4, -2, 0, 6, 4, 6, -8, -2, -20, 14, -16, 54, -44, 86, -152, 174, -324, 478, -672, 1126, -1628, 2470, -3880, 5726, -8820, 13486, -20272, 31126, -47244, 71670, -109496, 166158, ...

MCS6325644 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 - 2 A_N-3 (score: 5)

2, 2, 0, -2, -6, -10, -16, -22, -30, -38, -48, -58, -70, -82, -96, -110, -126, -142, -160, -178, -198, -218, -240, -262, -286, -310, -336, -362, -390, -418, -448, -478, -510, -542, -576, -610, ...

MCS13723674 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 - 2 K (score: 5)

2, 2, 0, -2, -6, -22, -104, -602, -4110, -32278, -286392, -2831642, -30861670, -367508398, -4746747504, -66086956658, -986557602366, ...

MCS3421210 : A₀ = 2; A₁ = 2; A_K+1 = K A_K - A_K-1 (score: 5)

2, 2, 0, -3, 1, 21, 21, -119, -279, 801, 3601, -5199, -48399, 19201, 696801, 408801, -10739999, -17689599, 175630401, 511732801, -3000875199, -13747263999, 52271990401, 368459062401, ...

MCS861196 : A₀ = 1; A₁ = 2; A_K+1 = A_K - K A_K-1 + K (score: 5)

2, 2, 0, -3, -6, -7, -5, 0, 6, 10, 9, 2, -9, -19, -22, -14, 4, 25, 38, 33, 7, -32, -66, -74, -43, 22, 95, 137, 114, 18, -120, -235, -254, -135, 99, 352, 486, 386, 33, -454, -841, -875, -422, 418, ...

MCS6717836 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-1 - A_N-3 - 1 (score: 5)

2, 2, 0, -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, ...

MCS787142 (alias MCS3148557, MCS6297141) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = - 2 A_N-3 (score: 5)

2, 2, 0, -4, -4, 12, 32, -40, -264, 56, 2432, 1872, -24880, -47344, 276096, 938912, -3202528, -18225120, 36217856, 364270016, -323869248, -7609269568, -808015360, 166595915136, 185180268416, ...

MCS3440858 : A₀ = 2; A₁ = 2; A_K+1 = A_K - K A_K-1 (score: 5)

2, 2, 0, -4, -4, 12, 32, -40, -264, 56, 2432, 1872, -24880, -47344, 276096, 938912, -3202528, -18225120, 36217856, 364270016, -323869248, -7609269568, -808015360, 166595915136, 185180268416, ...

MCS860684 : A₀ = 1; A₁ = 2; A_K+1 = A_K - K A_K-1 + A_K-1 (score: 5)

2, 2, 0, -4, -8, -8, 0, 16, 32, 32, 0, -64, -128, -128, 0, 256, 512, 512, 0, -1024, -2048, -2048, 0, 4096, 8192, 8192, 0, -16384, -32768, -32768, 0, 65536, 131072, 131072, 0, -262144, -524288, ...

MCS13477 (alias MCS25093, MCS1725120, MCS6423948, MCS27601946)

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

E.g.f. sin(x)*exp(x) (A9545)

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

2, 2, 0, -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, ...

MCS496322 (alias MCS7069, MCS28329, MCS31397)

A₀ = 2; A_K+1 = A_K - 2 K (score: 4)

2, 2, 0, -5, -14, -28, -48, -75, -110, -154, -208, -273, -350, -440, -544, -663, -798, -950, -1120, -1309, -1518, -1748, -2000, -2275, -2574, -2898, -3248, -3625, -4030, -4464, -4928, -5423, ...

MCS1726144 : A₀ = 1; A₁ = 2; A_K+1 = 2 A_K - A_K-1 - K (score: 5)

2, 2, 0, -6, -18, -38, -68, -110, -166, -238, -328, -438, -570, -726, -908, -1118, -1358, -1630, -1936, -2278, -2658, -3078, -3540, -4046, -4598, -5198, -5848, -6550, -7306, -8118, -8988, -9918, ...

MCS496434 : A₀ = 2; A_K+1 = A_K - K² - K (score: 5)

2, 2, 0, -6, -20, -50, -112, -238, -492, -1002, -2024, -4070, -8164, -16354, -32736, -65502, -131036, -262106, -524248, -1048534, -2097108, -4194258, -8388560, -16777166, -33554380, -67108810, ...

MCS248496 : A₀ = 1; A_K+1 = 2 A_K - 2 K (score: 4)

2, 2, 0, -7, -23, -55, -114, -218, -396, -695, -1191, -2007, -3342, -5518, -9056, -14799, -24111, -39199, -63634, -103194, -167228, -270863, -438575, -709967, -1149118, -1859710, -3009504, ...

MCS860720 : A₀ = 1; A₁ = 2; A_K+1 = A_K + A_K-1 - K² (score: 5)

2, 2, 0, -8, -26, -58, -108, -180, -278, -406, -568, -768, -1010, -1298, -1636, -2028, -2478, -2990, -3568, -4216, -4938, -5738, -6620, -7588, -8646, -9798, -11048, -12400, -13858, -15426, -17108, ...

MCS495794 : A₀ = 2; A_K+1 = A_K - 2 K² (score: 5)

2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, ...

MCS6801 (alias MCS12929, MCS827489, MCS870592, MCS870593, MCS3309964, MCS13929494, MCS13929498)

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

1+sqrt(4/3)sin(Nπ/3) (A21823)

2, 2, 1, 0, 1, 4, 7, 6, 1, -4, -1, 10, 21, 16, -5, -26, -15, 28, 71, 50, -35, -120, -77, 94, 265, 180, -161, -502, -331, 352, 1035, 694, -671, -2036, -1353, 1378, 4109, 2744, -2717, -8178, -5447, ...

MCS24837 : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - 2 A_K-2 + K (score: 5)

2, 2, 1, 0, -1, -1, -1, 0, 0, 1, 0, 1, -1, 1, -2, 2, -3, 4, -5, 7, -9, 12, -16, 21, -28, 37, -49, 65, -86, 114, -151, 200, -265, 351, -465, 616, -816, 1081, -1432, 1897, -2513, 3329, -4410, 5842, ...

MCS1581452 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 - A_N-3 (score: 4)

2, 2, 1, 0, -2, -4, -7, -10, -14, -18, -23, -28, -34, -40, -47, -54, -62, -70, -79, -88, -98, -108, -119, -130, -142, -154, -167, -180, -194, -208, -223, -238, -254, -270, -287, -304, -322, -340, ...

MCS3434522 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 - K (score: 4)

2, 2, 1, 0, -2, -6, -12, -21, -35, -56, -87, -133, -201, -301, -448, -664, -981, -1446, -2128, -3128, -4594, -6743, -9893, -14510, -21277, -31195, -45731, -67035, -98258, -144018, -211083, ...

MCS6447372 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K + A_K-2 - K (score: 5)

2, 2, 1, 1, 0, 0, -1, -1, -2, -2, -3, -3, -4, -4, -5, -5, -6, -6, -7, -7, -8, -8, -9, -9, -10, -10, -11, -11, -12, -12, -13, -13, -14, -14, -15, -15, -16, -16, -17, -17, -18, -18, -19, -19, -20, ...

MCS3508250 : A₀ = 2; A₁ = 2; A_N = A_N-2 - 1 (score: 4)

2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...

MCS496226 : A₀ = 2; A_K+1 = - K A_K + A_K + K (score: 5)

2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, ...

MCS440512 (alias MCS1762054, MCS6435078, MCS6435084)

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

2, 2, 1, 1, 2, 4, 5, 5, 4, 4, 5, 7, 8, 8, 7, 7, 8, 10, 11, 11, 10, 10, 11, 13, 14, 14, 13, 13, 14, 16, 17, 17, 16, 16, 17, 19, 20, 20, 19, 19, 20, 22, 23, 23, 22, 22, 23, 25, 26, 26, 25, 25, 26, ...

MCS1589644 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 4)

2, 2, 1, 1, 3, 5, 4, 1, 1, 6, 10, 6, -2, -1, 12, 20, 7, -13, -7, 27, 42, 3, -45, -20, 68, 92, -20, -131, -42, 182, 205, -107, -353, -63, 496, 453, -395, -910, -18, 1346, 970, -1285, -2272, 360, ...

MCS1592417 : A₀ = 0; A₁ = 0; A₂ = 1; A_K+1 = - A_K-1 - A_K-2 + K (score: 5)

2, 2, 1, 1, 3, 6, 8, 8, 7, 7, 9, 12, 14, 14, 13, 13, 15, 18, 20, 20, 19, 19, 21, 24, 26, 26, 25, 25, 27, 30, 32, 32, 31, 31, 33, 36, 38, 38, 37, 37, 39, 42, 44, 44, 43, 43, 45, 48, 50, 50, 49, 49, ...

MCS13782042 : A₀ = 2; A₁ = 2; A_K+1 = A_K - A_K-1 + K (score: 5)

2, 2, 1, 1, 4, 8, 7, -1, -6, 6, 29, 29, -16, -60, -13, 123, 166, -62, -375, -231, 540, 1024, -33, -2057, -1966, 2174, 6133, 1813, -10424, -14020, 6859, 34931, 21246, -48582, -91039, 6161, 188276, ...

MCS26917 : A₀ = 0; A₁ = 1; A_K+1 = A_K - 2 A_K-1 + K (score: 5)

2, 2, 1, 1, -1, -3, -6, -11, -17, -26, -38, -54, -76, -105, -144, -196, -265, -357, -479, -641, -856, -1141, -1519, -2020, -2684, -3564, -4730, -6275, -8322, -11034, -14627, -19387, -25693, ...

MCS6398220 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = A_K-1 + A_K-2 - K (score: 5)

2, 2, 1, 2, 0, 3, -2, 6, -7, 14, -20, 35, -54, 90, -143, 234, -376, 611, -986, 1598, -2583, 4182, -6764, 10947, -17710, 28658, -46367, 75026, -121392, 196419, -317810, 514230, -832039, 1346270, ...

MCS13944858 : A₀ = 2; A₁ = 2; A_N = - A_N-1 + A_N-2 + 1 (score: 5)

2, 2, 1, 2, 0, 4, -5, 18, -42, 136, -387, 1350, -4268, 16188, -55497, 226618, -832470, 3625872, -14152007, 65265678, -268888152, 1305313540, -5646651213, 28716897858, -129872977922, 689205548568, ...

MCS3432602 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 - K (score: 5)

2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, ...

MCS393484 (alias MCS25182938) : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-3 (score: 3)

A simple period-3 sequence. (A130196)

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

MCS428417 (alias MCS434784, MCS3499201, MCS3511045)

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

2, 2, 1, 2, -1, 10, -43, 266, -1853, 14834, -133495, 1334962, -14684569, 176214842, -2290792931, 32071101050, -481066515733, ...

MCS500888 : A₀ = 1; A_K+1 = - K A_K + A_K + K + 1 (score: 5)

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, 22, -19, 23, -20, 24, -21, 25, ...

MCS6496524 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = - A_N-1 + A_N-2 + A_N-3 (score: 5)

2, 2, 1, 3, 1, 6, 0, 12, -5, 25, -21, 56, -66, 134, -187, 335, -507, 858, -1348, 2224, -3553, 5797, -9329, 15148, -24454, 39626, -64055, 103707, -167735, 271470, -439176, 710676, -1149821, ...

MCS13846554 : A₀ = 2; A₁ = 2; A_K+1 = - A_K + A_K-1 + K (score: 5)

2, 2, 1, 3, 2, 11, 9, 65, 62, 519, 557, 5189, 6126, 62267, 79637, 871737, 1194554, 13947791, 20307417, 251060237, 385840922, 5021204739, 8102659361, 110466504257, 186361165302, ...

MCS3506330 : A₀ = 2; A₁ = 2; A_K+1 = K A_K-1 - 1 (score: 5)

2, 2, 1, 3, 3, 1, 5, 5, 1, 9, 9, 1, 17, 17, 1, 33, 33, 1, 65, 65, 1, 129, 129, 1, 257, 257, 1, 513, 513, 1, 1025, 1025, 1, 2049, 2049, 1, 4097, 4097, 1, 8193, 8193, 1, 16385, 16385, 1, 32769, ...

MCS3342988 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = 2 A_N-3 - 1 (score: 5)

2, 2, 1, 3, 3, 2, 4, 4, 3, 5, 5, 4, 6, 6, 5, 7, 7, 6, 8, 8, 7, 9, 9, 8, 10, 10, 9, 11, 11, 10, 12, 12, 11, 13, 13, 12, 14, 14, 13, 15, 15, 14, 16, 16, 15, 17, 17, 16, 18, 18, 17, 19, 19, 18, 20, ...

MCS819334 (alias MCS6554669, MCS13947654, MCS26218678)

A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-3 + 1 (score: 5)

2, 2, 1, 3, 5, 3, 4, 9, 7, 4, 12, 14, 4, 11, 24, 8, 3, 33, 23, -11, 30, 55, -19, -2, 98, 8, -74, 117, 110, -162, 37, 303, -167, -233, 504, 101, -701, 440, 840, -1102, -360, 1983, -700, -2300, ...

MCS6369548 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K-1 + A_K-2 + K (score: 5)

2, 2, 1, 4, 2, 4, 6, 3, 9, 6, 7, 13, 5, 15, 12, 8, 23, 6, 20, 22, 4, 37, 7, 20, 41, -9, 55, 13, 6, 78, -35, 72, 38, -40, 146, -73, 69, 114, -149, 257, -103, -5, 304, -364, 403, -54, -264, 714, ...

MCS6504716 : A₀ = 1; A₁ = 2; A₂ = 2; A_K+1 = - A_K + A_K-2 + K (score: 5)

2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, 0, 2, 2, 1, -1, -1, ...

MCS819398 (alias MCS3277581) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = - A_N-3 + 1 (score: 5)

2, 2, 1, -1, -3, -4, -3, 0, 4, 7, 7, 3, -4, -11, -14, -10, 1, 15, 25, 24, 9, -16, -40, -49, -33, 7, 56, 89, 82, 26, -63, -145, -171, -108, 37, 208, 316, 279, 71, -245, -524, -595, -350, 174, 769, ...

MCS6273 (alias MCS803009, MCS803013, MCS1606028, MCS3212045, MCS6424086, MCS6424109, MCS6424117, MCS12848237, MCS25696470)

A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-1 - A_N-3 (score: 4)

2, 2, 1, -1, -4, -8, -13, -19, -26, -34, -43, -53, -64, -76, -89, -103, -118, -134, -151, -169, -188, -208, -229, -251, -274, -298, -323, -349, -376, -404, -433, -463, -494, -526, -559, -593, ...

MCS124098 (alias MCS125232, MCS502369, MCS1758400)

A₀ = 2; A_K+1 = A_K - K (score: 3)

2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, 1, -2, -2, -1, 2, 2, ...

MCS25191130 : A₀ = 2; A₁ = 2; A₂ = 1; A_N = - A_N-3 (score: 5)

2, 2, 1, -2, -8, -18, -33, -54, -82, -118, -163, -218, -284, -362, -453, -558, -678, -814, -967, -1138, -1328, -1538, -1769, -2022, -2298, -2598, -2923, -3274, -3652, -4058, -4493, -4958, -5454, ...

MCS3416858 : A₀ = 2; A₁ = 2; A_K+1 = A_K-1 - K² (score: 5)

2, 2, 1, -3, -12, -28, -53, -89, -138, -202, -283, -383, -504, -648, -817, -1013, -1238, -1494, -1783, -2107, -2468, -2868, -3309, -3793, -4322, -4898, -5523, -6199, -6928, -7712, -8553, -9453, ...

MCS123954 : A₀ = 2; A_K+1 = A_K - K² (score: 4)

2, 2, 1, -7, -34, -98, -223, -439, -782, -1294, -2023, -3023, -4354, -6082, -8279, -11023, -14398, -18494, -23407, -29239, -36098, -44098, -53359, -64007, -76174, -89998, -105623, -123199, ...

MCS123930 : A₀ = 2; A_K+1 = A_K - K³ (score: 5)

2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, ...

MCS3309965 : A₀ = 0; A₁ = 0; A₂ = 0; A_N = - A_N-3 + 2 (score: 5)

2, 2, 2, 0, 0, 2, 0, -2, 2, 2, -4, 0, 6, -4, -6, 10, 2, -16, 8, 18, -24, -10, 42, -14, -52, 56, 38, -108, 18, 146, -126, -128, 272, 2, -400, 270, 402, -670, -132, 1072, -538, -1204, 1610, 666, ...

MCS25366746 : A₀ = 2; A₁ = 2; A₂ = 2; A_N = - A_N-2 + A_N-3 (score: 5)

2, 2, 2, 0, 0, -2, 0, -2, 2, -2, 4, -4, 6, -8, 10, -14, 18, -24, 32, -42, 56, -74, 98, -130, 172, -228, 302, -400, 530, -702, 930, -1232, 1632, -2162, 2864, -3794, 5026, -6658, 8820, -11684, ...

MCS790726 (alias MCS25303258) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-2 - A_N-3 (score: 5)

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

MCS25434330 : A₀ = 2; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 5)

2, 2, 2, 0, 2, 0, 0, 2, -2, 2, 0, -2, 4, -4, 2, 2, -6, 8, -6, 0, 8, -14, 14, -6, -8, 22, -28, 20, 2, -30, 50, -48, 18, 32, -80, 98, -66, -14, 112, -178, 164, -52, -126, 290, -342, 216, 74, -416, ...

MCS25956570 : A₀ = 2; A₁ = 2; A₂ = 2; A_N = - A_N-1 + A_N-3 (score: 5)

2, 2, 2, 0, -1, -2, -5, -7, -9, -13, -16, -19, -24, -28, -32, -38, -43, -48, -55, -61, -67, -75, -82, -89, -98, -106, -114, -124, -133, -142, -153, -163, -173, -185, -196, -207, -220, -232, -244, ...

MCS25563354 : A₀ = 2; A₁ = 2; A₂ = 2; A_K+1 = A_K-2 - K (score: 5)

2, 2, 2, 0, -2, -4, -4, -2, 2, 6, 8, 6, 0, -8, -14, -14, -6, 8, 22, 28, 20, -2, -30, -50, -48, -18, 32, 80, 98, 66, -14, -112, -178, -164, -52, 126, 290, 342, 216, -74, -416, -632, -558, -142, ...

MCS803014 (alias MCS1606025, MCS25696474) : A₀ = 0; A₁ = 2; A₂ = 2; A_N = A_N-1 - A_N-3 (score: 5)

2, 2, 2, 0, -6, -18, -38, -68, -110, -166, -238, -328, -438, -570, -726, -908, -1118, -1358, -1630, -1936, -2278, -2658, -3078, -3540, -4046, -4598, -5198, -5848, -6550, -7306, -8118, -8988, ...

MCS496178 : A₀ = 2; A_K+1 = A_K - K² + K (score: 5)

2, 2, 2, 1, 0, -1, -1, 0, 2, 4, 5, 4, 1, -3, -6, -6, -2, 5, 12, 15, 11, 0, -14, -24, -23, -8, 17, 41, 50, 34, -6, -55, -88, -81, -25, 64, 146, 172, 109, -36, -207, -315, -278, -70, 246, 525, 596, ...

MCS823345 (alias MCS6586758, MCS6586764) : A₀ = 0; A₁ = 1; A₂ = 1; A_N = A_N-1 - A_N-3 + 1 (score: 5)

2, 2, 2, 1, 0, -2, -4, -7, -10, -14, -18, -23, -28, -34, -40, -47, -54, -62, -70, -79, -88, -98, -108, -119, -130, -142, -154, -167, -180, -194, -208, -223, -238, -254, -270, -287, -304, -322, ...

MCS1746560 (alias MCS13920282) : A₀ = 1; A₁ = 2; A_K+1 = A_K-1 - K + 2 (score: 5)

2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 3, -1, 4, -3, 6, -6, 10, -11, 17, -20, 29, -36, 50, -64, 87, -113, 152, -199, 266, -350, 466, -615, 817, -1080, 1433, -1896, 2514, -3328, 4411, -5841, 7740, -10251, ...

MCS25633 (alias MCS6562188) : A₀ = 0; A₁ = 1; A₂ = 2; A_N = A_N-2 - A_N-3 + 1 (score: 5)

2, 2, 2, 1, 1, 1, 0, 0, 0, -1, -1, -1, -2, -2, -2, -3, -3, -3, -4, -4, -4, -5, -5, -5, -6, -6, -6, -7, -7, -7, -8, -8, -8, -9, -9, -9, -10, -10, -10, -11, -11, -11, -12, -12, -12, -13, -13, -13, ...

MCS26743002 : A₀ = 2; A₁ = 2; A₂ = 2; A_N = A_N-3 - 1 (score: 5)

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

MCS794822 : A₀ = 0; A₁ = 2; A₂ = 2; A_K+1 = - A_K-2 + K (score: 5)

2, 2, 2, 1, -1, -5, -12, -24, -44, -77, -131, -219, -362, -594, -970, -1579, -2565, -4161, -6744, -10924, -17688, -28633, -46343, -74999, -121366, -196390, -317782, -514199, -832009, -1346237, ...

MCS861824 (alias MCS13933062) : A₀ = 1; A₁ = 2; A_K+1 = A_K + A_K-1 - K (score: 4)

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, ...

MCS442 (alias MCS15509, MCS30978, MCS248152, MCS854042, MCS1006210, MCS6295770, MCS6900762, MCS6919194)

A_N = 2 (score: 2)

Constant sequence (A7395)

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

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

MCS6209 (alias MCS6570380) : A₀ = 0; A₁ = 1; A₂ = 2; A_K+1 = - A_K-2 + K (score: 4)

2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, ...

MCS204833 (alias MCS27241, MCS409665, MCS865473, MCS1638662, MCS1638668, MCS1638669, MCS3277325, MCS3277337, MCS3519681, MCS6554678, MCS13109357, MCS26218714)

A₀ = 0; A₁ = 1; A₂ = 1; A_N = A_N-3 + 1 (score: 4)

2, 2, 2, 3, 3, 4, 5, 6, 8, 10, 13, 17, 22, 29, 38, 50, 66, 87, 115, 152, 201, 266, 352, 466, 617, 817, 1082, 1433, 1898, 2514, 3330, 4411, 5843, 7740, 10253, 13582, 17992, 23834, 31573, 41825, ...

MCS6693132 : A₀ = 1; A₁ = 2; A₂ = 2; A_N = A_N-2 + A_N-3 - 1 (score: 5)

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

MCS214209 (alias MCS6793, MCS877761, MCS1746112)

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

Three evens, one odd (A4524)

2, 2, 2, 3, 4, 5, 7, 10, 14, 20, 29, 42, 61, 89, 130, 190, 278, 407, 596, 873, 1279, 1874, 2746, 4024, 5897, 8642, 12665, 18561, 27202, 39866, 58426, 85627, 125492, 183917, 269543, 395034, 578950, ...

MCS6717702 (alias MCS6717708) : A₀ = 1; A₁ = 1; A₂ = 2; A_N = A_N-1 + A_N-3 - 1 (score: 5)

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Quick Index:
Sequences Beginning 2,0,...
Sequences Beginning 2,1,...
Sequences Beginning 2,2,0,... ; 2,2,1,... ; etc.
Sequences Beginning 2,2,4,... ; 2,2,5,... ; etc.
Sequences Beginning 2,3,0,... ; 2,3,1,... ; etc.
Sequences Beginning 2,3,4,... ; 2,3,5,... ; etc.
Sequences Beginning 2,4,...
Sequences Beginning 2,5,... ; 2,6,... and 2,7,...
Sequences Beginning 2,8,... ; 2,9,... ; etc.
Sequences Beginning 3,0,... ; 3,1,... ; etc.
Sequences Beginning 3,4,... ; 3,5,... ; etc.
Sequences Beginning 3,8,... ; 3,9,... ; etc.
Sequences Beginning 4,0,... ; 4,1,... ; etc.
Sequences Beginning 4,6,... ; 4,7,... ; etc.
Sequences Beginning 5,...
Sequences Beginning 6,... ; 7,... ; etc.

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