1462563

Appears in sequences

• Central Delannoy numbers: a(n) = Sum_{k=0..n} C(n,k)*C(n+k,k).at n=9A001850
• Crystal ball sequence for 9-dimensional cubic lattice.at n=9A008419
• a(n) = T([n/2],[(n+1)/2]), where T = Delannoy triangle (A008288).at n=18A026003
• Number triangle, equal to half of Delannoy square array A008288.at n=45A113139
• Gaussian column reduction of Hankel matrix for central Delannoy numbers.at n=45A118384
• a(n) = A001850(n^2), where A001850 forms the central Delannoy numbers.at n=3A228192
• Number of lattice paths from {9}^n to {0}^n using steps that decrement one or more components by one.at n=2A263071
• Triangle read by rows, T(n, k) = (-1)^(n-k)*binomial(n,k)*hypergeom([k - n, n + 1], k + 1, 2), for n >= 0 and 0 <= k <= n.at n=45A297898
• Triangular array read by rows: A063007 * A007318.at n=45A376467