Chudnovsky algorithm

The Chudnovsky algorithm implements rapid, high precision calculation of the following hypergeometric series:

${\frac {1}{\pi }}=12\sum _{k=0}^{\infty }{\frac {(-1)^{k}(6k)!(13591409+545140134k)}{(3k)!(k!)^{3}640320^{3k+3/2}}}.\!$

It is based on Ramanujan's formulae.

The algorithm was developed by the Chudnovsky brothers.

Rubbish