-742900
domain: Z
Appears in sequences
- a(n) = mu(n) * Catalan(n).at n=13A062627
- Carlitz-Riordan q-Catalan numbers (recurrence version) for q = -1.at n=27A090192
- An inverse Chebyshev transform of 1-x.at n=25A099363
- Expansion of c(-x^2)(1+2x-sqrt(1+4x^2))/2, c(x) the g.f. of A000108.at n=26A106181
- Expansion of c(-x^2)(1+2x-sqrt(1+4x^2))/2, c(x) the g.f. of A000108.at n=27A106181
- O.g.f. inverse of Catalan A000108 o.g.f.at n=14A115140
- Convolution of A115140 with itself.at n=14A115141
- a(n) = (-1)^[(n+1)/2] A000108([n/2]+1).at n=25A129996
- a(n) = (-1)^n*Catalan(n).at n=13A168491
- Expansion of 1 - x - (1 - sqrt(1 + 4*x^4)) / (2*x) in powers of x.at n=55A182492
- Expansion of (-1 + 2*x + sqrt( 1 - 4*x^2)) / (2*x) in powers of x.at n=27A210628
- Convolution inverse of A001700.at n=14A246432
- Dirichlet inverse of Catalan numbers, when started from A000108(1): 1, 2, 5, 14, 42, ...at n=12A349449