288208
domain: N
Appears in sequences
- Triangle T(n,k), 0<=k<=n, defined by T(n,k) = 0 if k<0 or k>n, T(0,0) = 1, T(n,k) = T(n,k-1)+T(n-1,k-1)+T(n-1,k)+T(n-1,k+1).at n=35A122479
- Number of lattice paths from (0,0) to (n,n) that do not go below the x-axis or above the diagonal x=y and consist of steps U=(1,1), D=(1,-1), H=(1,0) and S=(0,1).at n=7A225042