%I #3 Mar 31 2012 12:35:22
%S 1,4,10,19,34,64,439,3090,19210,101422,504509,4329846,55414347,
%T 830264641,12430929701,182359363367,3254398810400,78220337119222
%N Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,0 2,2 3,0 3,3 polyhexes in any orientation on a planar nXnXn triangular grid.
%C Same series for 0,0 1,0 1,1 2,0 2,1 2,2 3,0 3,3 polyhexes.
%e Maximal 10 X 10 X 10 example
%e ............1
%e ...........1.1
%e ..........1.0.1
%e .........1.0.0.1
%e ........0.0.1.0.0
%e .......0.0.0.1.0.0
%e ......1.0.0.0.1.0.1
%e .....1.0.1.1.1.1.0.1
%e ....1.0.0.0.0.0.0.0.1
%e ...1.1.1.1.0.0.1.1.1.1
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009