DLMF:26.8.E29 (Q7857)

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DLMF:26.8.E29
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    k = 1 n ( - 1 ) n - k s ( n , k ) = n ! , superscript subscript 𝑘 1 𝑛 superscript 1 𝑛 𝑘 Stirling-number-first-kind-S 𝑛 𝑘 𝑛 {\displaystyle{\displaystyle\sum_{k=1}^{n}(-1)^{n-k}s\left(n,k\right)=n!,}}
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