24466267020
domain: N
Appears in sequences
- Catalan numbers with odd index: a(n) = binomial(4*n+2, 2*n+1)/(2*n+2).at n=10A024492
- a(n) = mu(n) * Catalan(n).at n=21A062627
- Quotient C[p(n),{p(n)+-1}/2]/p(n), where p(n)=n-th prime.at n=12A075891
- Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089851/A089853.at n=22A089848
- a(1) = 1; a(n) = floor {(n+1)(n+2)(n+3)...(n+k)}/{(n-1)(n-2)(n-3)...(n-k)} for the least value of k.at n=21A092935
- Expansion of 1 + 2x/(1 + sqrt(1 - 4x^2)).at n=43A097331
- G.f. is 1 + x*c(x), where c(x) is the g.f. of the Catalan numbers (A000108).at n=22A120588
- Catalan numbers (A000108) interpolated with 0's.at n=42A126120
- The matrix-vector product A133566 * A000108.at n=21A133603
- Catalan numbers at triangular positions: a(n) = A000108(n(n+1)/2).at n=6A135758
- Even Catalan numbers.at n=16A152670
- Number of Dyck paths of semilength n with a valley (DU) spanning the midpoint.at n=21A186031
- Catalan trisection: A000108(3*n), n >= 0.at n=7A187357
- a(n) = C(n) if n is odd, else C(n) - C(n/2); C(n) are Catalan numbers.at n=20A187916
- First terms of first rows of zigzag matrices as defined in A088961.at n=19A230585
- a(n) = binomial(2*(n+1),n) * gcd(n,2)/(2*(n+1)).at n=20A234040
- a(n) = Catalan(Fibonacci(n)).at n=8A273398
- Catalan numbersat n=21