DLMF:26.8.E36 (Q7864)

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DLMF:26.8.E36
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    k = 0 n ( - 1 ) n - k k ! S ( n , k ) = 1 . superscript subscript 𝑘 0 𝑛 superscript 1 𝑛 𝑘 𝑘 Stirling-number-second-kind-S 𝑛 𝑘 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}(-1)^{n-k}k!S\left(n,k\right)=1.}}
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