How to simplify $\sum_\limits{i=0}^n \frac {i} {(c-i-1)!}$

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Given some constants $c,n \in \mathbb N_0$ I'd like to find a way to simplify $\sum_\limits{i=0}^n \frac {i} {(c-i-1)!}$ (for $c > n+1$) but I can't find one.

May there is none existing... Or do you have an idea?