%I #3 Mar 31 2012 12:35:22
%S 1,13,37,210,1538,9864,106941,1433656,22817924,508623094,13424571091
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 4,0 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 11 X 11 X 11 example
%e .............0
%e ............1.1
%e ...........0.0.1
%e ..........0.0.0.1
%e .........1.0.0.0.1
%e ........1.0.0.0.0.0
%e .......1.0.1.0.1.0.1
%e ......1.0.0.1.0.1.0.1
%e .....0.1.0.0.1.0.1.0.1
%e ....0.0.0.1.0.1.0.1.0.1
%e ...1.1.1.1.0.1.0.1.0.1.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009