%I #3 Mar 31 2012 12:35:23
%S 1,4,10,22,40,135,924,5789,30931,175032,1467331,18452914,249998893,
%T 3424732727,53967206180,1112604199677,29667024358722,907210467221174
%N Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,0 2,2 3,0 3,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%C Same series for 0,0 1,0 2,0 2,1 2,2 3,0 3,2 polyhexes.
%e Maximal 10 X 10 X 10 example
%e ............1
%e ...........1.1
%e ..........1.0.1
%e .........0.1.1.1
%e ........0.0.0.0.0
%e .......0.1.1.1.0.0
%e ......1.0.1.0.1.0.1
%e .....1.1.0.1.1.0.1.1
%e ....1.0.1.0.1.0.1.0.1
%e ...1.1.1.0.0.0.0.1.1.1
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009
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