a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5*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.

A333097

a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5*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) =6a(2) =76a(3) =1101a(4) =16876a(5) =266881a(6) =4305247a(7) =70414133a(8) =1163355884a(9) =19369868385a(10) =324486751951

External references