# Double the sum, double the fun!

Calculus Level 5

Evaluate the following:

$\sum_{a=1}^{\infty}\displaystyle\sum_{b=1}^{\infty} \dfrac{6a^2}{b^6+a^4b^2}$

If the answer can expressed in the form $$\dfrac{\pi^n}{m}$$ for positive integers $$n$$ and $$m$$, find the value of $$n + m$$.

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