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

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

%S 1,7,25,55,244,1426,10764,97667,1037959,13184770,219939446,4610420436,

%T 119066459836

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

%e Maximal 10 X 10 X 10 example

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

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

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

%e .........1.1.1.1

%e ........0.0.0.0.1

%e .......1.0.1.1.0.0

%e ......0.1.0.1.0.1.0

%e .....0.1.0.1.0.1.1.0

%e ....0.1.0.1.0.0.0.1.0

%e ...0.1.1.0.1.0.0.0.1.1

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009