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

%I #3 Mar 31 2012 12:35:22

%S 1,13,37,106,1005,10898,103861,1556609,33473058,935408536,32508382331,

%T 1526329950979,97248083092281,8153227821911786

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

%e Maximal 10 X 10 X 10 example

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

%e ...........1.1

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

%e .........1.0.0.1

%e ........0.0.0.1.1

%e .......1.1.1.0.1.0

%e ......1.1.0.0.1.0.1

%e .....0.0.0.1.0.0.0.1

%e ....1.1.0.0.1.1.0.1.1

%e ...0.1.1.1.0.1.1.0.1.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009