231660
domain: N
Appears in sequences
- a(n) = binomial(2n+1, n+1)*binomial(n+2, 2).at n=7A085373
- Triangle read by rows: T(n,k) = n!*(n+k-1)!/((n-k)!*(n-1)!*(k!)^2) for 0 <= k <= n, with T(0,0) = 1.at n=52A123160
- Coefficient of x^(2*n) in the expansion of (1 + x^3 + x^4)^n.at n=14A192441
- Triangle read by rows, T(n, k) = [x^k] p(n), where p(n) = hypergeom([1/2, -n - 1, -n], [2, 2], 4*x).at n=52A367023
- Triangle read by rows: T(n, k) is the number of walks of length 2*n on the N X N grid with unit steps in all four directions (NSWE) starting at (0, 0). k is the common value of the x- and the y-coordinate of the endpoint of the walk.at n=33A380119
- Expansion of (1/x) * Series_Reversion( x / (1 + x^2 * (1 + x))^2 ).at n=13A389631