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楼主 |
发表于 2025-10-2 11:31:29
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- Table[a = b = c = Range[n, n + m]; k = MinimalBy[DeleteDuplicates[Permutations[b]], Total[ReverseSort[a*#]*c] &] // First; Total[ReverseSort[a*k]*c], {m, 0, 10}, {n, 30}]
复制代码
m=0: {1, 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},
m=1: {6, 30, 84, 180, 330, 546, 840, 1224, 1710, 2310, 3036, 3900, 4914, 6090, 7440, 8976, 10710, 12654, 14820, 17220, 19866, 22770, 25944, 29400, 33150, 37206, 41580, 46284, 51330, 56730},
m=2: {18, 72, 180, 360, 630, 1008, 1512, 2160, 2970, 3960, 5148, 6552, 8190, 10080, 12240, 14688, 17442, 20520, 23940, 27720, 31878, 36432, 41400, 46800, 52650, 58968, 65772, 73080, 80910, 89280},
m=3: {44, 146, 332, 626, 1052, 1634, 2396, 3362, 4556, 6002, 7724, 9746, 12092, 14786, 17852, 21314, 25196, 29522, 34316, 39602, 45404, 51746, 58652, 66146, 74252, 82994, 92396, 102482, 113276, 124802},
m=4: {89, 260, 550, 990, 1610, 2440, 3510, 4850, 6490, 8460, 10790, 13510, 16650, 20240, 24310, 28890, 34010, 39700, 45990, 52910, 60490, 68760, 77750, 87490, 98010, 109340, 121510, 134550, 148490, 163360},
m=5: {162, 426, 852, 1476, 2334, 3462, 4896, 6672, 8826, 11394, 14412, 17916, 21942, 26526, 31704, 37512, 43986, 51162, 59076, 67764, 77262, 87606, 98832, 110976, 124074, 138162, 153276, 169452, 186726, 205134},
m=6: {271, 660, 1257, 2105, 3247, 4725, 6580, 8855, 11592, 14833, 18620, 22995, 28000, 33677, 40068, 47215, 55160, 63945, 73612, 84203, 95760, 108325, 121940, 136647, 152488, 169505, 187740, 207235, 228032, 250173},
m=7: {428, 974, 1781, 2897, 4373, 6257, 8597, 11441, 14837, 18833, 23477, 28817, 34901, 41777, 49493, 58097, 67637, 78161, 89717, 102353, 116117, 131057, 147221, 164657, 183413, 203537, 225077, 248081, 272597, 298673},
m=8: {642, 1385, 2442, 3876, 5742, 8093, 10984, 14468, 18600, 23434, 29024, 35424, 42687, 50868, 60021, 70200, 81459, 93852, 107433, 122256, 138375, 155844, 174717, 195048, 216891, 240300, 265329, 292032, 320463, 350676},
m=9: {930, 1909, 3265, 5069, 7383, 10264, 13774, 17974, 22924, 28684, 35314, 42874, 51424, 61024, 71734, 83614, 96724, 111124, 126874, 144034, 162664, 182824, 204574, 227974, 253084, 279964, 308674, 339274, 371824, 406384},
第1项= 1, 6, 18, 44, 89, 162, 271, 428, 642, 930, 1304, 1781, 2377, 3111, 4002, ——A070735。
上面的数字串可以有同一个通项公式——a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) 。 |
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