Riordan array (1/(1 - x*c(x) - x^2*c(x)^2), x*c(x)) where c(x) is the g.f. of A000108.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =2a(5) =1a(6) =9a(7) =6a(8) =3a(9) =1a(10) =29a(11) =19a(12) =10a(13) =4a(14) =1a(15) =97a(16) =63a(17) =34a(18) =15a(19) =5a(20) =1a(21) =333a(22) =215a(23) =118a(24) =55a(25) =21a(26) =6a(27) =1a(28) =1165a(29) =749