# It is simpler than it looks!

Calculus Level 5

$\sum _{ n=1 }^{ \infty }{ \frac { 1 }{ { n }^{ 2 }\left( \begin{matrix} 2n \\ n \end{matrix} \right) } } =\frac { A }{ B } \zeta \left( C \right)$

Here $$A,B,C$$ are positive integers such that $$A$$ and $$B$$ are co-prime. Find $$A+B+C$$

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