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

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

%S 1,7,19,37,61,224,1849,11422,49981,224398,1780640,22690257,281350590,

%T 2951548767,34313995173,571260880157,12982237127311

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

%e Maximal 10 X 10 X 10 example

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

%e ...........0.1

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

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

%e ........0.1.0.1.0

%e .......0.0.0.1.0.0

%e ......0.1.1.0.0.1.0

%e .....1.1.0.0.1.0.1.1

%e ....1.0.1.1.0.1.1.0.0

%e ...0.0.1.0.0.0.0.1.1.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009