a(n) = n! * Sum_{k=0..n} k^3 / k!.

Terms

a(0) =0a(1) =1a(2) =10a(3) =57a(4) =292a(5) =1585a(6) =9726a(7) =68425a(8) =547912a(9) =4931937a(10) =49320370a(11) =542525401a(12) =6510306540a(13) =84633987217