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数字块


u_(B,b)(n) 为序列 B 在基数-b 展开中数字块的数量。下表给出了序列 {u_(B)(n)} 对于多个块 B

BOEISu_(B,2)(n) for n=1, 2, ...
00A0569730, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, ...
01A0378000, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, ...
10A0332640, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, ...
11A0140810, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 3, 0, ...
000A0569740, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, ...
001A0569750, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, ...
010A0569760, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, ...
011A0569770, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, ...
100A0569780, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, ...
101A0569790, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, ...
110A0569800, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, ...
111A0140820, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, ...

另请参阅

数字和, Rudin-Shapiro 序列

使用 Wolfram|Alpha 探索

参考文献

Sloane, N. J. A. 序列 A014081, A014082, A033264, A037800, A056973, A056974, A056975, A056976, A056977, A056978, A056979, 和 A056980,收录于“整数数列线上大全”。

Wolfram|Alpha 参考

数字块

请引用为

Eric W. Weisstein "数字块。" 出自 MathWorld——Wolfram 网络资源。 https://mathworld.net.cn/DigitBlock.html

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