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Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 3,2 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.
0

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

%S 1,7,19,37,82,304,1597,8409,37756,200483,1450289,12807392,119527765,

%T 1178177160

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 3,2 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.

%e Maximal 10 X 10 X 10 example

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

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

%e ..........0.0.0

%e .........0.0.0.0

%e ........0.1.1.1.0

%e .......1.1.0.0.0.0

%e ......1.0.1.0.0.0.1

%e .....1.0.0.0.1.0.1.0

%e ....0.0.0.0.0.1.1.0.0

%e ...0.0.0.1.1.1.0.0.0.0

%K nonn

%O 6,2

%A _R. H. Hardin_ Jan 22 2009