G.f. satisfies: A(x - A(x) + A(x)^2) = x^3.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =8a(5) =24a(6) =70a(7) =213a(8) =661a(9) =2096a(10) =6744a(11) =21979a(12) =72372a(13) =240466a(14) =805176a(15) =2714323a(16) =9204564a(17) =31377860a(18) =107466778a(19) =369613444a(20) =1276043914a(21) =4420532404a(22) =15361787448a(23) =53536660741a(24) =187068856364a(25) =655243469070