# Continued fractions given $$\pi$$

Calculus Level 4

$\cfrac1{6 + \cfrac{3^2}{6 + \cfrac{5^2}{6 + \cfrac{7^2}{6 + \cfrac{9^2}{6 + _ \ddots}}}}}$

The above represents the continued fractions of the number $$A \pi - B$$, where $$A$$ and $$B$$ are positive integers. Find $$A+B$$.

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