# Revival of Double Summation

Calculus Level 5

$\large\sum_{m=1}^{\infty} \sum_{n=1}^{\infty} \frac{1}{m[m(4m^2+4n^2-4m+1)-n(2m+2n-1)]}$ If the summation above equals to $$S$$, find the value of $$e^{\sqrt{\frac{S}{2} }}$$.

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