DLMF:26.13.E4

MaRDI QIDQ8642

• Label: DLMF:26.13.E4

Digital Library of Mathematical Functions ID 26.13.E4

${\displaystyle{\displaystyle d(n)=n!\sum_{j=0}^{n}(-1)^{j}\frac{1}{j!}=\left\lfloor\frac{n!+\mathrm{e}-2}{\mathrm{e}}\right\rfloor.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle d(n)}}$: derangement number
 

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