G.f. satisfies A(x) = 1 + x*A(x)^5 / (1 + x*A(x)^6).

Terms

a(0) =1a(1) =1a(2) =4a(3) =20a(4) =107a(5) =577a(6) =3010a(7) =14429a(8) =56640a(9) =98020a(10) =-1297568a(11) =-21901213a(12) =-232421636a(13) =-2081040375a(14) =-16862259358a(15) =-126674303915a(16) =-887771735205