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I'm looking for a citable reference for the following identity involving the Stirling numbers of the second kind $S(n, k)$ stated in Equation (27): For $n \geq 2$,$$
\sum_{m=1}^n S(n, m) (-1)^m (m-1)! = 0.
$$
Thank you.
I'm looking for a citable reference for the following identity involving the Stirling numbers of the second kind $S(n, k)$ stated in Equation (27):
$$
\sum_{m=1}^n S(n, m) (-1)^m (m-1)! = 0.
$$
Thank you.
I'm looking for a citable reference for the following identity involving the Stirling numbers of the second kind $S(n, k)$ stated in Equation (27): For $n \geq 2$,$$
\sum_{m=1}^n S(n, m) (-1)^m (m-1)! = 0.
$$
Thank you.
