Expansion of g.f. A(x) satisfying A(x) = x + x^2 + (A(x)^3 + 2*A(x^3))/3.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =4a(6) =6a(7) =12a(8) =24a(9) =46a(10) =93a(11) =191a(12) =393a(13) =819a(14) =1724a(15) =3648a(16) =7772a(17) =16654a(18) =35850a(19) =77520a(20) =168289a(21) =366629a(22) =801328a(23) =1756620a(24) =3861157a(25) =8508247a(26) =18791480a(27) =41591566a(28) =92237598a(29) =204931918