DLMF:26.8.E20 (Q7848)

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DLMF:26.8.E20
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    test
    s ⁡ ( n + 1 , k + 1 ) = n ! ⁢ ∑ j = k n ( - 1 ) n - j j ! ⁢ s ⁡ ( j , k ) , Stirling-number-first-kind-S 𝑛 1 𝑘 1 𝑛 superscript subscript 𝑗 𝑘 𝑛 superscript 1 𝑛 𝑗 𝑗 Stirling-number-first-kind-S 𝑗 𝑘 {\displaystyle{\displaystyle s\left(n+1,k+1\right)=n!\sum_{j=k}^{n}\frac{(-1)^% {n-j}}{j!}\,s\left(j,k\right),}}
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    DLMF id
    DLMF:26.8.E20
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