Expansion of g.f. A(x) satisfying A( x*A(x)^2 + A(x)^4 ) = A(x)^3.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =20a(5) =70a(6) =256a(7) =969a(8) =3762a(9) =14895a(10) =59916a(11) =244179a(12) =1006026a(13) =4183396a(14) =17534888a(15) =74007851a(16) =314256048a(17) =1341575769a(18) =5754629794a(19) =24789907450a(20) =107202369386a(21) =465209278326