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

Terms

a(0) =1a(1) =1a(2) =3a(3) =9a(4) =33a(5) =125a(6) =501a(7) =2065a(8) =8739a(9) =37685a(10) =165107a(11) =732681a(12) =3286679a(13) =14878885a(14) =67889851a(15) =311896993a(16) =1441536321a(17) =6698017445a(18) =31269529601a(19) =146601334841a(20) =689945263873