Riordan array (1/(1-x*C(x)^3), x*C(x)), C(x) the g.f. of A000108.

Terms

a(0) =1a(1) =1a(2) =1a(3) =4a(4) =2a(5) =1a(6) =16a(7) =7a(8) =3a(9) =1a(10) =65a(11) =27a(12) =11a(13) =4a(14) =1a(15) =267a(16) =108a(17) =43a(18) =16a(19) =5a(20) =1a(21) =1105a(22) =440a(23) =173a(24) =65a(25) =22a(26) =6a(27) =1a(28) =4597a(29) =1812