G.f. satisfies: A(x) = Sum_{n>=0} x^n*A(x)^Fibonacci(n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =22a(6) =58a(7) =164a(8) =497a(9) =1621a(10) =5749a(11) =22572a(12) =100753a(13) =528778a(14) =3376927a(15) =26917694a(16) =270793597a(17) =3438163325a(18) =54872573755