46016

Appears in sequences

• Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).at n=14A036893
• Number of (n+1) X (3+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=13A237632
• Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=37A328297
• G.f.: Sum_{k>=0} x^(k^2) * Product_{j=1..k} ((1 + x^j)/(1 - x^j))^2.at n=27A376854