a(n) is the n-th order Taylor polynomial (centered at 0) of c(x)^(2*n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4*x))/(2*x) is the o.g.f. of the Catalan numbers A000108.

A333094

a(n) is the n-th order Taylor polynomial (centered at 0) of c(x)^(2*n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4*x))/(2*x) is the o.g.f. of the Catalan numbers A000108.

Terms

    a(0) =1a(1) =3a(2) =19a(3) =144a(4) =1171a(5) =9878a(6) =85216a(7) =746371a(8) =6609043a(9) =59008563a(10) =530279894a(11) =4790262348a(12) =43458522976a(13) =395683988547

External references