$\left|\begin{array}{cc}\underset{k=0}{\sum ^n}k& \underset{k=0}{\sum ^n}{.}^n{C}_k.k^2\\ \underset{k=0}{\sum ^n}{.}^n{C}_k.k& \underset{k=0}{\sum ^n}{.}^n{C}_k{.3}^k\end{array}\right|=0$ holds for some positive integer n, then $\underset{k=0}{\sum ^n}\frac{{.}^n{C}_k}{k+1}$ equals

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