265729

Properties

Appears in sequences

• Central Delannoy numbers: a(n) = Sum_{k=0..n} C(n,k)*C(n+k,k).at n=8A001850
• Crystal ball sequence for 8-dimensional cubic lattice.at n=8A008417
• a(n) = T([n/2],[(n+1)/2]), where T = Delannoy triangle (A008288).at n=16A026003
• Convolution of A055854 with A011782.at n=9A055855
• Central Delannoy numbers that are primes.at n=2A092830
• A symmetric number triangle based on 2^n.at n=40A108477
• Number triangle, equal to half of Delannoy square array A008288.at n=36A113139
• Gaussian column reduction of Hankel matrix for central Delannoy numbers.at n=36A118384
• Smallest prime of the form LegendreP[2*n, k], k integer > 0.at n=3A219315
• Least prime divisor of the n-th central Delannoy number D(n) which does not divide any D(k) with k < n, or 1 if such a primitive prime divisor of D(n) does not exist.at n=7A242173
• Number of lattice paths from {8}^n to {0}^n using steps that decrement one or more components by one.at n=2A263063
• Left-hand half of triangle A297191.at n=44A297192
• 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=36A297898
• Square array read by descending antidiagonals: T(n, k) where column k is the expansion of 1/sqrt(1 - 2*(k+1)*x + ((k-1)*x)^2).at n=63A307883
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2*(2*k+1)*x + x^2).at n=53A335333
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} k^j * binomial(n,j)^k.at n=63A336187
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} 2^j * binomial(n,j)^k.at n=63A336203
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Sum_{j=0..n} binomial(k*n,n-j) * binomial(k*n+j,j).at n=53A341470
• Triangular array read by rows: A063007 * A007318.at n=36A376467
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = Sum_{j=0..n} binomial(n,j) * binomial(k*n+j,j).at n=53A387934