%I #3 Mar 31 2012 12:35:22
%S 1,13,37,73,258,1871,22758,161452,1241904,16300245,324762872,
%T 7210518148,157052254320,4356147792581
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 4,1 4,2 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 ..........0.0.0.1
%e .........1.1.0.1.0
%e ........1.0.0.0.0.1
%e .......1.0.0.1.0.0.1
%e ......0.1.1.0.1.1.1.0
%e .....1.0.0.0.0.0.0.0.1
%e ....1.0.0.1.0.0.1.0.0.1
%e ...0.1.1.1.0.0.0.1.1.1.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009