论文标题

$ n^{\ rm th} $十进制数字或$π$的二进制的公式和$π$

A formula for the $n^{\rm th}$ decimal digit or binary of $π$ and powers of $π$

论文作者

Plouffe, Simon

论文摘要

通过使用以Euler和Bernoulli数量已知的渐近公式,可以获得$π$在十进制或二进制中的nth数字的明确表达,也可以获得$ n^{\ rm th} $数字的$π^n $ $ n^{\ rm th} $。

By using an asymptotic formula known for the numbers of Euler and Bernoulli it is possible to obtain an explicit expression of the nth digit of $π$ in decimal or in binary, it also makes it possible to obtain the $n^{\rm th}$ digit of powers of $π^n$.

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