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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =6a(5) =16a(6) =39a(7) =99a(8) =271a(9) =764a(10) =2157a(11) =6128a(12) =17658a(13) =51534a(14) =151635a(15) =448962a(16) =1337493a(17) =4008040a(18) =12072594a(19) =36524898a(20) =110943633a(21) =338218626a(22) =1034509917a(23) =3173811240a(24) =9763898994a(25) =30113782641a(26) =93094164244a(27) =288415278638a(28) =895332445053