Signed Lah numbers
From specialfunctionswiki
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.