-208012

Appears in sequences

• An inverse Chebyshev transform of 1-x.at n=23A099363
• Expansion of 1-x*c(-x^2) where c(x) is the g.f. of A000108.at n=25A105523
• O.g.f. inverse of Catalan A000108 o.g.f.at n=13A115140
• Convolution of A115140 with itself.at n=13A115141
• a(n) = (-1)^[(n+1)/2] A000108([n/2]+1).at n=22A129996
• Expansion of (-1 + 2*x + sqrt( 1 - 4*x^2)) / (2*x) in powers of x.at n=25A210628
• Convolution inverse of A001700.at n=13A246432
• Dirichlet inverse of right-shifted Catalan numbers [as when started from A000108(0): 1, 1, 2, 5, 14, 42, etc.].at n=12A349450
• G.f.: A(x,y) = Sum_{n=-oo..+oo} (x*y)^(n*(n+1)/2) * C(x)^n, where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108), as a triangle of coefficients T(n,k) of x^n*y^k in A(x,y), read by rows n >= 0.at n=91A355343