Number of (n+1)X(3+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases.

A234781

Number of (n+1)X(3+1) 0..3 arrays with no adjacent elements equal and with each 2X2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases.