DLMF:26.8.E6 (Q7831)

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DLMF:26.8.E6
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    S ( n , k ) = 1 k ! j = 0 k ( - 1 ) k - j ( k j ) j n . Stirling-number-second-kind-S 𝑛 𝑘 1 𝑘 superscript subscript 𝑗 0 𝑘 superscript 1 𝑘 𝑗 binomial 𝑘 𝑗 superscript 𝑗 𝑛 {\displaystyle{\displaystyle S\left(n,k\right)=\frac{1}{k!}\sum_{j=0}^{k}(-1)^% {k-j}\genfrac{(}{)}{0.0pt}{}{k}{j}j^{n}.}}
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