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%I #3 Mar 31 2012 12:35:23
%S 1,4,10,22,40,161,562,3058,15699,98124,620233,5239100,48386446,
%T 558536676,7037622489,106784846181
%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,2 4,3 4,4 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 9 X 9 X 9 example
%e ...........0
%e ..........0.0
%e .........1.1.1
%e ........1.0.0.0
%e .......1.0.1.1.1
%e ......0.1.0.0.0.1
%e .....1.0.1.0.1.0.1
%e ....0.1.0.0.1.0.1.0
%e ...0.0.1.1.1.0.1.0.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009