%I #6 Nov 10 2024 13:01:35
%S 1,7,19,37,76,382,2724,16177,82034,576215,5993574,76883371,996696560,
%T 14175824222,255455613029
%N Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 4,2 5,3 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 10 X 10 X 10 example
%e ............0
%e ...........0.0
%e ..........0.0.1
%e .........1.1.1.0
%e ........0.0.1.1.0
%e .......0.1.0.0.1.0
%e ......0.1.0.0.0.0.1
%e .....1.1.1.0.0.1.1.0
%e ....0.0.1.0.1.1.1.0.0
%e ...0.0.0.1.0.0.0.1.0.0
%K nonn,more
%O 5,2
%A _R. H. Hardin_, Jan 22 2009