a(n) = A003696(n+1)/A001353(n+1).

Terms

a(0) =1a(1) =14a(2) =161a(3) =1792a(4) =19809a(5) =218638a(6) =2412353a(7) =26614784a(8) =293628097a(9) =3239445006a(10) =35739069409a(11) =394290020096