374274

Appears in sequences

• Coordination sequence for 9-dimensional cubic lattice.at n=8A008418
• Number of points of L1 norm 8 in cubic lattice Z^n.at n=9A035602
• Coordination sequence for C_9 lattice.at n=4A035746
• a(n) = T(n,n), array T as in A050143.at n=9A050146
• 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=16A110110
• 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=46A110171
• Triangle G(n,k) read by rows: number of order-preserving partial transformations (of an n-element totally ordered set) of waist k (waist(alpha) = max(Im(alpha))).at n=54A111516
• T(n, k) = (n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2), triangle read by rows for 0 <= k <= n.at n=36A337617
• T(n,k) is the coordination number of the (n+1)-dimensional cubic lattice for radius k; triangle read by rows, n>=0, 0<=k<=n.at n=44A343599