%I #5 Apr 26 2021 19:42:45
%S 1,7,19,43,239,1041,3863,18481,111137,720077,5291974,48305684
%N Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 4,1 5,1 6,0 6,1 polyhexes in any orientation on a planar n X n X n triangular grid.
%e Maximal 10 X 10 X 10 example
%e ............0
%e ...........1.1
%e ..........0.0.1
%e .........0.0.0.1
%e ........1.1.0.1.0
%e .......1.0.0.0.1.0
%e ......1.0.0.0.0.1.1
%e .....0.1.0.0.0.0.0.0
%e ....0.1.0.1.1.1.0.0.1
%e ...1.1.0.1.0.0.1.1.1.0
%K nonn
%O 6,2
%A _R. H. Hardin_ Jan 22 2009