# Infinite sums and products 3 (11)

Calculus Level 5

$\large \dfrac1{1^2 \cdot 3^2} + \dfrac1{3^2 \cdot 5^2} + \dfrac1{5^2 \cdot 7^2} + \cdots$

If the value of the series above is equal to $\dfrac{\pi^A + B}{C}$, where $A,B$ and $C$ are integers, find the value of $A+B+C$.

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