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A302225
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Number of 2Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
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4
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0, 3, 14, 45, 146, 537, 1934, 6861, 24386, 86913, 309638, 1102677, 3927050, 13986633, 49814510, 177416541, 631877618, 2250466449, 8015156630, 28546401765, 101669514458, 362101348953, 1289643083966, 4593131945709, 16358681988674
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