%I #6 Nov 10 2024 13:01:27

%S 1,7,19,37,76,284,1948,12241,60886,350497,2915669,33310308,416154595,

%T 5212602941,75431474711,1382363604714,31384746574285

%N Number of ways to place zero or more nonadjacent 2,0 2,1 3,0 3,2 3,3 4,1 4,2 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.

%e Maximal 10 X 10 X 10 example

%e ............0

%e ...........0.0

%e ..........1.1.0

%e .........1.0.1.1

%e ........0.1.1.0.0

%e .......0.1.0.0.1.0

%e ......1.0.0.0.0.1.1

%e .....0.1.1.0.0.1.0.1

%e ....0.1.0.1.1.0.1.1.0

%e ...0.0.1.1.0.0.1.0.0.0

%K nonn,more,changed

%O 5,2

%A _R. H. Hardin_, Jan 22 2009