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%I #3 Mar 31 2012 12:35:22
%S 1,13,37,106,1005,10898,103861,1556609,33473058,935408536,32508382331,
%T 1526329950979,97248083092281,8153227821911786
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 2,1 3,0 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 10 X 10 X 10 example
%e ............0
%e ...........1.1
%e ..........1.1.0
%e .........1.0.0.1
%e ........0.0.0.1.1
%e .......1.1.1.0.1.0
%e ......1.1.0.0.1.0.1
%e .....0.0.0.1.0.0.0.1
%e ....1.1.0.0.1.1.0.1.1
%e ...0.1.1.1.0.1.1.0.1.0
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 22 2009