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%I #3 Mar 31 2012 12:35:22
%S 1,7,19,37,82,477,3794,21306,111679,917243,11877917,168569675,
%T 2255808102,36229000672,799414704118,22475315426770
%N Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 2,2 3,1 4,1 4,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%C Same series for 1,0 1,1 2,0 2,1 3,0 3,1 3,2 4,1 polyhexes.
%e Maximal 9 X 9 X 9 example
%e ...........0
%e ..........1.1
%e .........0.1.0
%e ........1.1.1.0
%e .......0.1.0.0.0
%e ......0.0.0.0.1.1
%e .....1.0.1.0.0.1.0
%e ....1.1.1.1.0.1.1.1
%e ...0.0.1.0.0.0.0.1.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009
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