# A calculus problem by Vicky Vignesh

Calculus Level 5

$\large \sum_{n=1}^\infty ~ \dfrac{1}{n^2- n - 1}$

The series above can be expressed as $$\dfrac{\pi \tan\left(\frac{\sqrt A}B \pi \right)}{\sqrt A}$$ for positive integers $$A$$ and $$B$$, find $$A+B$$.

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