T(n,k)=Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

A237412

T(n,k)=Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.