Formula:8668

Digital Library of Mathematical Functions ID 26.15.E8

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

Symbols List

• ${\displaystyle{\displaystyle\equiv}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle k}}$: 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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