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

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

%S 1,13,37,210,1580,9923,75893,791786,9986174,154732984

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

%e Maximal 12 X 12 X 12 example

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

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

%e ............1.0.0

%e ...........1.0.1.0

%e ..........1.0.1.0.0

%e .........1.0.1.0.1.1

%e ........0.0.1.0.0.0.1

%e .......0.1.1.0.0.1.0.1

%e ......0.0.0.0.0.0.1.0.1

%e .....1.1.1.1.1.0.0.1.0.1

%e ....1.0.0.0.0.0.1.0.1.0.0

%e ...0.0.1.1.1.1.1.0.0.1.1.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009