DLMF:26.8.E22 (Q7850)

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DLMF:26.8.E22
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    S ( n , k ) = k S ( n - 1 , k ) + S ( n - 1 , k - 1 ) , Stirling-number-second-kind-S 𝑛 𝑘 𝑘 Stirling-number-second-kind-S 𝑛 1 𝑘 Stirling-number-second-kind-S 𝑛 1 𝑘 1 {\displaystyle{\displaystyle S\left(n,k\right)=kS\left(n-1,k\right)+S\left(n-1% ,k-1\right),}}
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