G.f. satisfies: A(x + A(x)*A(-x)) = x.

Terms

a(0) =1a(1) =1a(2) =2a(3) =8a(4) =32a(5) =178a(6) =944a(7) =6255a(8) =39366a(9) =293652a(10) =2090576a(11) =17085798a(12) =134136792a(13) =1182991528a(14) =10085875720a(15) =95087538324a(16) =871536657504