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

%I #3 Mar 31 2012 12:35:23

%S 1,7,19,37,61,275,1793,9603,41441,206821,1678073,16665525,168175105,

%T 1702776291,20351416873,312390331791

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

%e Maximal 10 X 10 X 10 example

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

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

%e ..........1.0.1

%e .........0.1.1.0

%e ........1.1.0.0.0

%e .......1.0.1.0.0.0

%e ......0.0.0.0.1.0.1

%e .....1.0.1.1.0.1.1.0

%e ....0.1.1.0.0.0.0.1.1

%e ...1.1.0.1.0.0.0.1.0.1

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009