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

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

%S 1,7,19,37,76,382,2724,16177,82034,576215,5993574,76883371,996696560,

%T 14175824222,255455613029

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

%e Maximal 10 X 10 X 10 example

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

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

%e ..........0.0.1

%e .........1.1.1.0

%e ........0.0.1.1.0

%e .......0.1.0.0.1.0

%e ......0.1.0.0.0.0.1

%e .....1.1.1.0.0.1.1.0

%e ....0.0.1.0.1.1.1.0.0

%e ...0.0.0.1.0.0.0.1.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009