DLMF:26.8.E30 (Q7858)

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DLMF:26.8.E30
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    j = k n s ( n + 1 , j + 1 ) n j - k = s ( n , k ) . superscript subscript 𝑗 𝑘 𝑛 Stirling-number-first-kind-S 𝑛 1 𝑗 1 superscript 𝑛 𝑗 𝑘 Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle\sum_{j=k}^{n}s\left(n+1,j+1\right)\,n^{j-k}=s% \left(n,k\right).}}
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