# 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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