Difference between revisions of "Signed Lah numbers"
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(Created page with "The signed Lah numbers $L(n,k)$ are defined by $$L(n,k)={{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ where ${{n-1} \choose {k-1}}$ denotes a binomial coefficient and $n!$ denot...") |
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The signed Lah numbers $L(n,k)$ are defined by | The signed Lah numbers $L(n,k)$ are defined by | ||
| − | $$L(n,k)={{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ | + | $$L'(n,k)=(-1)^n{{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ |
where ${{n-1} \choose {k-1}}$ denotes a [[binomial coefficient]] and $n!$ denotes the [[factorial]]. | where ${{n-1} \choose {k-1}}$ denotes a [[binomial coefficient]] and $n!$ denotes the [[factorial]]. | ||
=Properties= | =Properties= | ||
| + | |||
| + | =See also= | ||
| + | [[Unsigned Lah numbers]]<br /> | ||
=References= | =References= | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 01:46, 20 December 2017
The signed Lah numbers $L(n,k)$ are defined by $$L'(n,k)=(-1)^n{{n-1} \choose {k-1}} \dfrac{n!}{k!},$$ where ${{n-1} \choose {k-1}}$ denotes a binomial coefficient and $n!$ denotes the factorial.
