本帖最后由 王守恩 于 2021-12-11 08:03 编辑
Table[NestList[Floor[(n + 1) #/n + 1] &, 1, 20], {n, 1, 9}]
\(1<\frac{x}{y}≤\frac{2}{1}\):{1, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095, 8191,16383, 32767,65535,131071,
\(1<\frac{x}{y}≤\frac{3}{2}\):{1, 2, 4, 7, 11, 17, 26, 40, 61, 92, 139,209, 314,472,709, 1064,1597, 2396,3595, 5393,
\(1<\frac{x}{y}≤\frac{4}{3}\):{1, 2, 3, 5, 7, 10, 14, 19, 26, 35, 47, 63, 85,114, 153, 205, 274, 366,489, 653, 871},
\(1<\frac{x}{y}≤\frac{5}{4}\):{1, 2, 3, 4, 6, 8, 11,14, 18, 23, 29, 37, 47, 59, 74, 93, 117, 147, 184, 231, 289},
\(1<\frac{x}{y}≤\frac{6}{5}\):{1, 2, 3, 4, 5, 7, 9, 11, 14, 17, 21, 26, 32, 39, 47, 57, 69, 83, 100, 121, 146},
\(1<\frac{x}{y}≤\frac{7}{6}\):{1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 26, 31, 37, 44,52, 61, 72, 85, 100},
\(1<\frac{x}{y}≤\frac{8}{7}\):{1, 2, 3, 4, 5, 6, 7, 9, 11, 13, 15, 18, 21, 25, 29, 34, 39, 45, 52, 60, 69},
\(1<\frac{x}{y}≤\frac{9}{8}\):{1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 19, 22, 25, 29, 33, 38, 43, 49, 56},
lihp2020网友!你能搞一个下面的通项公式吗?谢谢!
\(1<\frac{x}{y}≤\frac{5}{3}\):{1, 3, 6, 11, 19, 32, 54, 91,...
就这么些数字串,可是在《整数序列在线百科全书(OEIS)》找不到的。 |