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If ∑k=0∞k24k=mn\sum _{ k=0 }^{ \infty }{ \frac { { k }^{ 2 } }{ { 4 }^{ k } } }=\frac m nk=0∑∞4kk2=nm
where m,nm,nm,n are positive, co-prime integers. Find m+nm+nm+n
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