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A268973
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Number of 3 X n 0..2 arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.
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1
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27, 336, 2016, 11664, 63792, 339480, 1770048, 9084744, 46050480, 231090264, 1150053408, 5683587048, 27921925008, 136471932792, 664055030016, 3218568401160, 15545839096944, 74855120204952, 359437016141280
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