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

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

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