G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x)^5.

Terms

a(0) =1a(1) =1a(2) =3a(3) =13a(4) =63a(5) =328a(6) =1797a(7) =10210a(8) =59607a(9) =355409a(10) =2155166a(11) =13250055a(12) =82402013a(13) =517453773a(14) =3276534510a(15) =20897024350a(16) =134118458191a(17) =865574280977