令 为 n 的底-
位数之和,且
为 Thue-Morse 序列,则
数字乘积
另请参阅
数字, 数字和使用 Wolfram|Alpha 探索
参考文献
Allouche, J.-P. "Series and Infinite Products Related to Binary Expansions of Integers." http://algo.inria.fr/seminars/sem92-93/allouche.ps.Allouche, J.-P. and Cohen, H. "Dirichlet Series and Curious Infinite Products." Bull. London Math. Soc. 17, 531-538, 1985.Shallit, J. O. "On Infinite Products Associated with Sums of Digits." J. Number Th. 21, 128-134, 1985.Wolfram|Alpha 参考
数字乘积请引用为
Weisstein, Eric W. "Digit Product." 来自 MathWorld-- Wolfram 网络资源. https://mathworld.net.cn/DigitProduct.html