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%I
%S 1,13,37,184,1433,15532,213600,3754855,93144364,3159998575,
%T 143228568126,8737142545792,720729233703571
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 12 X 12 X 12 example
%e ..............0
%e .............1.1
%e ............0.0.1
%e ...........1.0.0.1
%e ..........1.0.0.0.0
%e .........0.1.0.0.1.1
%e ........1.0.1.0.1.0.0
%e .......0.1.0.0.1.0.1.0
%e ......0.0.1.1.0.0.1.0.1
%e .....1.1.0.0.0.1.1.0.0.1
%e ....1.0.0.0.1.0.0.0.1.0.1
%e ...1.0.1.1.1.0.1.1.1.0.1.0
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009
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