# Combinatorial Summation!

Calculus Level 5

$\large{ \sum_{n=0}^{\infty} \dfrac{2^{n+1}}{(2n+1) \ {2n \choose n} }}$

If the summation above can be represented as $$\large{A \cdot \pi^B}$$, where $$A,B$$ are positive integers, then find the value of $$(A+B)^3$$?

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