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

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

%S 1,7,19,37,100,521,3034,15439,84733,680192,6722018,71127189,839682580,

%T 12147844032

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 2,1 3,1 3,2 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 ..........1.0.0

%e .........0.1.1.1

%e ........1.0.1.1.1

%e .......1.0.0.0.0.1

%e ......1.1.0.0.0.0.0

%e .....0.1.1.0.1.1.1.0

%e ....0.0.1.0.0.0.1.1.0

%e ...0.0.1.0.0.0.0.1.1.1

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009