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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =8a(8) =5a(9) =1a(10) =1a(11) =22a(12) =19a(13) =7a(14) =1a(15) =1a(16) =64a(17) =67a(18) =34a(19) =9a(20) =1a(21) =1a(22) =196a(23) =232a(24) =144a(25) =53a(26) =11a(27) =1a(28) =1a(29) =625