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本帖最后由 王守恩 于 2022-10-21 12:59 编辑
x+y+z+u+v+m=N的解组数，限制条件未知数取数不能取6的倍数
后面的答案对不上？
Table[(521 n^5 - 31860 n^3 + 502848 n)/186624*Floor[n/6 - Floor[(n - 1)/6]]
+ (217 n^5- 5 n^4 -13130n^3+4850n^2+181553n-173485)/77760*Floor[(n + 5)/6 -Floor[(n+4)/6]]
+ (434 n^5- 5 n^4 -25780n^3+9380n^2+251536n-348160)/155520*Floor[(n +4)/6-Floor[(n+3)/6]]
+ (434 n^5+5 n^4 -25780n^3- 9380n^2+251536n+348160)/155520*Floor[(n+2)/6-Floor[(n+1)/6]]
+ (217 n^5+5 n^4 -13130n^3- 4850n^2+181553n+173485)/77760*Floor[(n + 1)/6-Floor[n/6]]
+ (217 n^5 - 12810 n^3 + 97713 n)/77760*Floor[(n + 3)/6 - Floor[(n + 2)/6]] {n, 1, 60}]
{0, 0, 0, 0, 0, 1, 6, 21, 56, 126, 246, 432, 702, 1077, 1582, 2262, 3162, 4328, 5808,
7653, 9898, 12633, 15948, 19934, 24684, 30309, 36834, 44409, 53184, 63310, 74934,
88284, 103334, 120309, 139434, 160936, 185010, 212100, 242060, 275205, 311850,
352317, 396816, 446166, 499996, 558726, 622776, 692588, 768312, 851382, 941052,
1037862, 1142352, 1255119, 1376118, 1507743, 1648668, 1799568, 1961118, 2134120}
52 1037862
53 1142352
54 1255113
55 1376082
56 1507617
57 1648332
58 1798812
59 1959642
60 2131528 |
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发表于 2022-10-21 06:12
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