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A266868
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Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its west or northeast neighbor modulo 3 and the upper left element equal to 0.
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2
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2, 4, 17, 57, 207, 786, 3057, 12168, 49161, 200973, 830381, 3462433, 14543365, 61455313, 261051074, 1114132113, 4775036853, 20540793414, 88645205402, 383652117835, 1664756627492, 7241001588378, 31563853315709, 137860267982920
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