G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x)^8.

Terms

a(0) =1a(1) =1a(2) =3a(3) =13a(4) =66a(5) =364a(6) =2116a(7) =12768a(8) =79222a(9) =502297a(10) =3240120a(11) =21196593a(12) =140295584a(13) =937787728a(14) =6321624862a(15) =42926227470a(16) =293350136170