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A186476
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Number of (n+1)X4 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors
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1
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1098, 701, 4686, 4810, 20224, 21760, 82632, 101108, 344804, 465884, 1445243, 2112183, 6085048, 9483898, 25738600, 42272077, 109291705, 187344208, 465619270, 826593388, 1989294067, 3634249423, 8519209648, 15933856258, 36556619512
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