本帖最后由 uk702 于 2021-1-12 21:43 编辑
经编程搜索,a18=2018 共有 2612 个严格递增的解, a18=2021 也有 2387 个解。
下面是 2018 的前 10 个解和后10个解:
k = 18, [1, 2, 3, 5, 6, 7, 13, 20, 27, 47, 67, 114, 181, 295, 476, 771, 1247, 2018]
k = 18, [1, 2, 3, 5, 6, 8, 14, 20, 34, 54, 68, 122, 176, 298, 474, 772, 1246, 2018]
k = 18, [1, 2, 3, 5, 6, 8, 14, 20, 34, 54, 88, 122, 176, 298, 474, 772, 1246, 2018]
k = 18, [1, 2, 3, 5, 6, 8, 14, 22, 30, 52, 82, 134, 216, 350, 484, 834, 1184, 2018]
k = 18, [1, 2, 3, 5, 6, 8, 14, 22, 36, 50, 86, 136, 186, 322, 458, 780, 1238, 2018]
k = 18, [1, 2, 3, 5, 6, 8, 14, 22, 36, 58, 94, 152, 246, 398, 412, 810, 1208, 2018]
k = 18, [1, 2, 3, 5, 6, 9, 14, 20, 34, 54, 68, 122, 176, 298, 474, 772, 1246, 2018]
k = 18, [1, 2, 3, 5, 6, 9, 14, 20, 34, 54, 88, 122, 176, 298, 474, 772, 1246, 2018]
k = 18, [1, 2, 3, 5, 6, 9, 14, 23, 28, 51, 74, 125, 199, 324, 523, 847, 1171, 2018]
k = 18, [1, 2, 3, 5, 6, 9, 14, 23, 37, 51, 74, 125, 199, 324, 523, 847, 1171, 2018]
...
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 398, 631, 1008, 1010, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 398, 775, 1008, 1010, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 432, 576, 1008, 1010, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 466, 471, 937, 1081, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 615, 704, 1314, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 615, 992, 1026, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 631, 1008, 1010, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 699, 704, 1314, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 992, 1026, 2018]
k = 18, [1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1008, 1010, 2018]
a18=2021 有解如下:
k = 18, [1, 2, 3, 5, 6, 7, 12, 19, 25, 44, 69, 113, 182, 295, 477, 772, 1249, 2021]
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