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%I #3 Mar 31 2012 12:35:22
%S 1,4,10,22,40,361,2821,19057,110575,1423822,26284909,502358770,
%T 9341556682,253322462407,10114422061267,485429682957349,
%U 25616146962812161,1724462843271452173,157410261704230494205
%N Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,0 2,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 13 X 13 X 13 example
%e ...............1
%e ..............1.1
%e .............1.0.1
%e ............0.0.0.0
%e ...........1.0.1.1.1
%e ..........1.0.0.0.1.0
%e .........1.1.1.0.1.0.1
%e ........0.0.0.0.0.0.0.1
%e .......1.0.1.0.0.0.1.1.1
%e ......0.1.1.0.0.0.0.0.0.0
%e .....1.0.1.0.1.0.1.0.1.0.1
%e ....1.0.0.0.0.1.0.1.1.0.0.1
%e ...1.1.1.0.1.1.1.0.1.0.1.1.1
%K nonn
%O 2,2
%A _R. H. Hardin_ Jan 22 2009
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