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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