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Question Number 128566 by Dwaipayan Shikari last updated on 08/Jan/21

$$1+\frac{1}{2}{(\frac{1}{2}.\frac{1}{1!})}^2+\frac{1}{3}{(\frac{1.3}{2^2}.\frac{1}{2!})}^2+\frac{1}{4}{(\frac{1.3.5}{2^3}.\frac{1}{3!})}^2+...{=}_2{F}_1(\frac{1}{2},\frac{1}{2};2;1)=\frac{4}{\pi }$$

Commented by Dwaipayan Shikari last updated on 08/Jan/21

I've posted this question on brilliant https://brilliant.org/problems/in-search-of

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