a(n) = A000217(A232097(n)) / n!.

Terms

a(0) =1a(1) =3a(2) =1a(3) =5a(4) =1a(5) =35a(6) =5a(7) =208a(8) =8073a(9) =36120a(10) =1133197a(11) =456667a(12) =13535367a(13) =2592766a(14) =3409144a(15) =24103053951a(16) =1417826703a(17) =486682892638