-58786

Appears in sequences

• a(n) = mu(n) * Catalan(n).at n=11A062627
• Carlitz-Riordan q-Catalan numbers (recurrence version) for q = -1.at n=23A090192
• An inverse Chebyshev transform of 1-x.at n=21A099363
• Expansion of c(-x^2)(1+2x-sqrt(1+4x^2))/2, c(x) the g.f. of A000108.at n=22A106181
• Expansion of c(-x^2)(1+2x-sqrt(1+4x^2))/2, c(x) the g.f. of A000108.at n=23A106181
• O.g.f. inverse of Catalan A000108 o.g.f.at n=12A115140
• Convolution of A115140 with itself.at n=12A115141
• a(n) = (-1)^[(n+1)/2] A000108([n/2]+1).at n=21A129996
• a(n) = (-1)^n*Catalan(n).at n=11A168491
• Expansion of 1 - x - (1 - sqrt(1 + 4*x^4)) / (2*x) in powers of x.at n=47A182492
• Composition of Catalan and Fibonacci numbers.at n=66A189675
• Expansion of (-1 + 2*x + sqrt( 1 - 4*x^2)) / (2*x) in powers of x.at n=23A210628
• Convolution inverse of A001700.at n=12A246432
• Dirichlet inverse of Catalan numbers, when started from A000108(1): 1, 2, 5, 14, 42, ...at n=10A349449
• 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=78A355343