A183728 1/12 the number of (n+1) X 9 0..5 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease, and at least two adjacent blocks having the same increasing direction.

88331, 3528126, 130610844, 5355252106, 221403152762, 9546147995730, 460509744129719, 33429749952933774, 4646656755908387234, 935845545638421963156