A Fun Combi Problem!

Discrete Mathematics Level pending

If \[a_{n}=\displaystyle\sum_{r=0}^n \dfrac{1}{n_{{\huge{C}}_{\huge{r}}}}\],then\[\displaystyle\sum_{r=0}^n \dfrac{r}{n_{{\huge{C}}_{\huge{r}}}}=\dfrac{n\times a_{n}}{c}\\ c=?\]

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