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A123817
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Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.
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0
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1, 5, 9, 51, 131, 807, 2129, 13967, 39701, 265152, 781478, 5287858, 16094282, 110147280, 342365511, 2360643691
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