DLMF:26.14.E8 (Q7959)

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DLMF:26.14.E8
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    n k = ( k + 1 ) n - 1 k + ( n - k ) n - 1 k - 1 , Eulerian-number 𝑛 𝑘 𝑘 1 Eulerian-number 𝑛 1 𝑘 𝑛 𝑘 Eulerian-number 𝑛 1 𝑘 1 {\displaystyle{\displaystyle\genfrac{<}{>}{0.0pt}{}{n}{k}=(k+1)\genfrac{<}{>}{% 0.0pt}{}{n-1}{k}+(n-k)\genfrac{<}{>}{0.0pt}{}{n-1}{k-1},}}
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