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Results tagged with stirling-numbers
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user 474500
3
votes
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answer
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Sum of the Stirling numbers of the second kind multiplied by $k$ and falling factorials
I am looking for closed forms, or at least a good approximation for
$$f(n) = \sum_{k=1}^{k=n} \genfrac\{\}{0pt}{}{n}{k}(n)_kk$$
I know that
$$\sum_{k=1}^{k=n} \genfrac\{\}{0pt}{}{n}{k}(n)_k = n^n$$
I …
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