a(n) = A051201(n!).

Terms

a(0) =1a(1) =1a(2) =3a(3) =12a(4) =60a(5) =406a(6) =3120a(7) =26823a(8) =257022a(9) =2712926a(10) =31311886a(11) =392308000a(12) =5302926524a(13) =76924127104