%I #3 Mar 31 2012 12:35:22
%S 1,4,10,19,46,199,890,4075,20900,140127,1098924,9985570,103452546,
%T 1269141243,18318539114,311054175156,6154670827141
%N Number of ways to place zero or more nonadjacent 0,0 1,0 1,1 2,1 3,1 3,2 4,2 polyhexes in any orientation on a planar nXnXn triangular grid.
%e Maximal 9 X 9 X 9 example
%e ...........0
%e ..........0.0
%e .........0.1.1
%e ........1.1.1.0
%e .......1.1.0.0.1
%e ......0.0.0.0.1.1
%e .....1.1.0.0.0.1.0
%e ....0.1.1.1.0.1.1.0
%e ...0.0.0.1.1.0.1.0.0
%K nonn
%O 4,2
%A _R. H. Hardin_ Jan 22 2009