Now that's what i call a series!

Calculus Level 4

If ∑k=0∞k24k=mn\sum _{ k=0 }^{ \infty }{ \frac { { k }^{ 2 } }{ { 4 }^{ k } } }=\frac m n

where m,nm,n are positive, co-prime integers. Find m+nm+n

Aditya Tiwari by Aditya Tiwari
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