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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =7a(6) =14a(7) =32a(8) =74a(9) =172a(10) =408a(11) =978a(12) =2349a(13) =5662a(14) =13737a(15) =33568a(16) =82596a(17) =204618a(18) =510208a(19) =1279544a(20) =3224828a(21) =8162144a(22) =20735397a(23) =52848816a(24) =135088609a(25) =346214873a(26) =889451320a(27) =2290164276a(28) =5908894762a(29) =15274778235