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%I
%S 1,7,25,55,208,1905,20926,172576,1900996,35023141,893053190,
%T 24012955958,788590457332,36088248750672
%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 3,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%C Same series for 1,1 2,1 2,2 3,0 3,1 3,2 polyhexes.
%e Maximal 11 X 11 X 11 example
%e .............0
%e ............1.1
%e ...........1.0.1
%e ..........0.0.0.1
%e .........1.0.0.0.0
%e ........1.0.0.0.1.1
%e .......0.1.1.1.0.0.1
%e ......0.0.0.0.0.0.1.0
%e .....1.1.1.0.1.0.1.0.1
%e ....1.0.0.0.0.1.0.0.0.1
%e ...0.1.0.1.1.1.0.1.1.1.0
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009
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