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

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

%S 1,7,19,37,133,535,2615,17587,119298,919700,8881748,102328225,

%T 1400493835,22807381469,434028590353

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

%e Maximal 10 X 10 X 10 example

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

%e ...........1.0

%e ..........0.1.1

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

%e ........0.0.0.1.0

%e .......0.1.0.0.1.0

%e ......1.1.0.0.0.0.0

%e .....0.1.1.0.0.0.1.0

%e ....0.1.0.0.1.1.1.1.1

%e ...0.1.0.0.0.0.0.1.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009