%I #3 Mar 31 2012 12:35:22
%S 1,13,37,73,309,2413,28415,205131,1898471,29029014,631146446,
%T 14579044094,368315888227,12424744049760,572778669577292
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,1 3,2 4,3 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 11 X 11 X 11 example
%e .............0
%e ............1.1
%e ...........1.0.1
%e ..........0.0.1.0
%e .........0.1.0.1.0
%e ........1.1.0.0.0.1
%e .......1.0.0.1.1.0.1
%e ......0.1.1.0.0.1.1.0
%e .....1.0.0.0.0.0.0.0.1
%e ....1.0.1.1.0.0.1.1.0.1
%e ...0.1.1.0.0.0.0.0.1.1.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009