DLMF:24.15.E8 (Q7565)

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DLMF:24.15.E8
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    test
    ∑ k = 0 n ( - 1 ) n + k ⁢ s ⁡ ( n + 1 , k + 1 ) ⁢ B k = n ! n + 1 . superscript subscript 𝑘 0 𝑛 superscript 1 𝑛 𝑘 Stirling-number-first-kind-S 𝑛 1 𝑘 1 Bernoulli-number-B 𝑘 𝑛 𝑛 1 {\displaystyle{\displaystyle\sum_{k=0}^{n}(-1)^{n+k}s\left(n+1,k+1\right)B_{k}% =\frac{n!}{n+1}.}}
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    DLMF:24.15.E8
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