Formula:8672

Digital Library of Mathematical Functions ID 26.15.E12

${\displaystyle{\displaystyle\sum_{k=0}^{n}r_{n-k}(B)(x-k+1)_{k}=x^{n},}}$

Symbols List

• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle B}}$: subset
• ${\displaystyle{\displaystyle r_{j}(B)}}$: number of rook positions
 

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