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A208873
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Number of 2 X n 0..3 arrays with new values 0..3 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors.
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1
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2, 12, 136, 1798, 24472, 334618, 4578580, 62655190, 857412640, 11733394642, 160567489036, 2197311225838, 30069453572632, 411490201499818, 5631102858140740, 77059719245016070, 1054535937228511120
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