Ramanujan’s formula for ∏
In 1910, über-famous mathematician, Srinivasa Ramanujan identified a family of rapidly convergent infinite series for 
:
![\[\frac{1}{\pi}=\sum_{k=0}^{\infty}s(k)\frac{Ak+B}{C^k}\]](https://oopstart.com/wp-content/ql-cache/quicklatex.com-f94f3f1f6aacbc9c54aa29ad6de2da6e_l3.png "Rendered by QuickLaTeX.com")
where 
, 
, 
and 
had certain constraints. The most popular member was
![\[\frac{1}{\pi}=\frac{2\sqrt{2}}{99^2}\sum_{k=0}^{\infty}\frac{(4k)!}{k!^4}\frac{26390k+1103}{396^{4k}}\]](https://oopstart.com/wp-content/ql-cache/quicklatex.com-14ea5671f720c19e4608bb9110543ba4_l3.png "Rendered by QuickLaTeX.com")
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