Restricted Stirling and Lah number matrices and their inverses

John Engbers, David Galvin, Clifford Smyth

Given $R\subseteq \mathbb{N}$ let ${\left\{\genfrac{}{}{0ex}{}{n}{k}\right\}}_R$, ${\left[\genfrac{}{}{0ex}{}{n}{k}\right]}_R$, and $L(n,k{)}_R$ be the number of ways of partitioning the set $[n]$ into $k$ non-empty subsets, cycles and lis…