A calculus problem by neelesh vij

Calculus Level 5

A=m=1n=1m2n4m(n4m+m4n) \large A = \displaystyle \sum_{m=1}^{\infty} \sum_{n=1}^{\infty} \dfrac{m^2n}{4^m (n4^m+m4^n)}

Find 81A81A.

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