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%I #3 Mar 31 2012 12:35:22
%S 1,4,13,45,200,827,3807,19771,133675,1067815,10084717,113366836,
%T 1442256377
%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 3,1 4,0 5,0 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 8 X 8 X 8 example
%e ..........1
%e .........0.1
%e ........1.0.1
%e .......1.0.1.1
%e ......1.0.0.0.1
%e .....1.1.0.0.0.1
%e ....1.0.0.0.1.0.0
%e ...1.0.1.1.1.1.1.1
%K nonn
%O 5,2
%A _R. H. Hardin_ Jan 22 2009