# I don't want English solution

Calculus Level 5

$\large \sum_{n=1}^\infty\dfrac1{64n^2-1}$

If the series above equals to $$\dfrac1A - \dfrac{1}B\pi \cot\left(\dfrac AB \pi\right)$$ for positive integers $$A$$ and $$B$$, find the value of $$A+B$$.

×