Expansion of g.f. A(x) satisfying A(x) = A( x^3 + 3*x^2*A(x)^2 )^(1/3), with A(0)=0, A'(0)=1.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =6a(6) =15a(7) =30a(8) =55a(9) =113a(10) =274a(11) =683a(12) =1596a(13) =3547a(14) =7990a(15) =18968a(16) =46530a(17) =113663a(18) =273392a(19) =656421a(20) =1598270a(21) =3951520a(22) =9827565a(23) =24411649a(24) =60599823a(25) =150978177a(26) =378293690a(27) =951828992a(28) =2398983638a(29) =6051008950