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Calculus Level 4

n=0n2en\large \displaystyle\sum _{ n=0 }^{ \infty }{ \frac { n^2 }{ e^n } }

The value of above expression is in the form e(A+e)(eB)C,\dfrac { e(A+e) }{ { (e-B) }^{ C } } , where A,BA,B and C C are positive integers. Find A+B+CA+B+C.

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