%I #3 Mar 31 2012 12:35:22
%S 1,7,19,37,61,503,4407,23093,93285,817543,14192015,204195517,
%T 2243020429,32774055967,863753860919,27738606644581,798910205504069,
%U 24797177099870103
%N Number of ways to place zero or more nonadjacent 1,0 2,0 2,1 2,2 3,0 3,1 4,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%C Same series for 1,1 2,0 2,1 2,2 3,1 3,3 4,2 polyhexes.
%e Maximal 9 X 9 X 9 example
%e ...........0
%e ..........1.0
%e .........1.1.1
%e ........1.1.0.0
%e .......0.0.1.0.0
%e ......0.0.0.0.0.1
%e .....1.1.1.0.1.1.1
%e ....0.1.1.0.0.0.1.1
%e ...0.1.0.1.0.0.1.0.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009
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