Expansion of g.f. A(x) satisfying A(x)^2 = A( x*(1+x)*A(x) ).

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =5a(5) =11a(6) =27a(7) =69a(8) =183a(9) =481a(10) =1283a(11) =3453a(12) =9361a(13) =25651a(14) =70927a(15) =197721a(16) =555039a(17) =1567345a(18) =4449023a(19) =12686465a(20) =36323203a(21) =104381397a(22) =300958959a(23) =870378337a(24) =2524129349a(25) =7338679127a(26) =21386456807a(27) =62459196233a(28) =182776933033a(29) =535861013939