A formula for the $n^{\rm th}$ decimal digit or binary of $\pi$ and powers of $\pi$
Number Theory
2022-03-04 v2
Abstract
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 in decimal or in binary, it also makes it possible to obtain the digit of powers of .
Cite
@article{arxiv.2201.12601,
title = {A formula for the $n^{\rm th}$ decimal digit or binary of $\pi$ and powers of $\pi$},
author = {Simon Plouffe},
journal= {arXiv preprint arXiv:2201.12601},
year = {2022}
}
Comments
Added a formula for n! much better than Stirling