a(n) = Sum_{j=0..n} Sum_{i=0..j} L(i)*F(j) where L(i)=A000032(i) and F(j)=A000045(j).

Terms

a(0) =0a(1) =3a(2) =9a(3) =29a(4) =80a(5) =220a(6) =588a(7) =1563a(8) =4125a(9) =10857a(10) =28512a(11) =74792a(12) =196040a(13) =513619a(14) =1345281a(15) =3522981a(16) =9224880a(17) =24153636a(18) =63239220a(19) =165569195a(20) =433476725a(21) =1134874513a(22) =2971168704a(23) =7778667024a(24) =20364889680a(25) =53316094755a(26) =139583544633a(27) =365434781933