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A155253
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Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 2,2 3,1 4,1 polyhexes in any orientation on a planar nXnXn triangular grid.
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0
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1, 13, 37, 73, 378, 3421, 36342, 293256, 3406317, 59935388, 1419179921, 37034743264, 1162832741191, 48524067272860
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