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

A333096

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

Terms

    a(0) =1a(1) =5a(2) =53a(3) =647a(4) =8373a(5) =111880a(6) =1525511a(7) =21093476a(8) =294663349a(9) =4148593604a(10) =58770091928a(11) =836722722951

External references