G.f. satisfies: A(x) = Catalan(x + x^2 + x^3*A(x)) where Catalan(x) = (1-sqrt(1-4*x))/(2x) is the g.f. of A000108.

A162162

G.f. satisfies: A(x) = Catalan(x + x^2 + x^3*A(x)) where Catalan(x) = (1-sqrt(1-4*x))/(2x) is the g.f. of A000108.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =10a(4) =36a(5) =139a(6) =560a(7) =2328a(8) =9914a(9) =43027a(10) =189619a(11) =846267a(12) =3817105a(13) =17373048a(14) =79687447a(15) =367991891a(16) =1709477714a(17) =7983062151a(18) =37454903501a(19) =176470241003a(20) =834601583199

External references