Formula:8667

Digital Library of Mathematical Functions ID 26.15.E7

${\displaystyle{\displaystyle N(x,B)=\sum_{k=0}^{n}r_{k}(B)(n-k)!(x-1)^{k}.}}$

Symbols List

• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle x}}$: 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
• ${\displaystyle{\displaystyle N(x,B)}}$: generating function
 

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