864146
domain: N
Appears in sequences
- a(n) = 2 * Sum_{k=0..n-1} binomial(n-1, k)*binomial(n+k, k).at n=9A002003
- Coordination sequence for 9-dimensional cubic lattice.at n=9A008418
- Number of points of L1 norm 9 in cubic lattice Z^n.at n=9A035603
- Convolution of A055854 with A011782.at n=10A055855
- Number of symmetric Schroeder paths of length 2n (A Schroeder path of length 2n is a lattice path from (0,0) to (2n,0) consisting of U=(1,1), D=(1,-1) and H=(2,0) steps and never going below the x-axis).at n=17A110110
- Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n that start with exactly k (0,1) steps (or, equivalently, with exactly k (1,0) steps).at n=45A110171
- Row sums of A123160.at n=9A123164
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) is the coefficient of x^(k*n) in expansion of ( (1 + x)/(1 - x) )^n.at n=64A336521
- Square array read by ascending antidiagonals: T(n,k) = [x^(n*k)] ((1 + x)/(1 - x))^k for n, k >= 1.at n=44A363418