a(n) = Sum_{k=0..n} q(n,k) * !k, where q(n,k) = number of partitions of n into k distinct parts and !k = subfactorial of k.

A331518

a(n) = Sum_{k=0..n} q(n,k) * !k, where q(n,k) = number of partitions of n into k distinct parts and !k = subfactorial of k.