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%I #3 Mar 31 2012 12:35:22
%S 1,3,7,13,38,180,805,3814,25700,220335,2064779,23174247,331474649,
%T 5713874467,116010028877,2863484145009,86429492811884,
%U 3140385298427338,137283404960168681,7274093873738312075
%N Number of ways to place zero or more nonadjacent 1,1 2,0 2,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 10 X 10 X 10 example
%e ............0
%e ...........1.0
%e ..........0.1.1
%e .........0.1.0.0
%e ........1.0.0.1.0
%e .......0.1.1.0.1.1
%e ......0.1.0.0.1.0.0
%e .....1.0.0.1.0.0.1.0
%e ....0.1.1.0.1.1.0.1.1
%e ...0.1.0.0.1.0.0.1.0.0
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009