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Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,2 5,2 6,2 polyhexes in any orientation on a planar nXnXn triangular grid.
0

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

%S 1,7,19,64,199,919,4123,24600,145752,1212971,10549470,114622513

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,2 5,2 6,2 polyhexes in any orientation on a planar nXnXn triangular grid.

%e Maximal 11 X 11 X 11 example

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

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

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

%e ..........0.1.0.0

%e .........0.0.1.1.1

%e ........0.0.0.0.0.1

%e .......0.0.1.0.0.0.1

%e ......0.0.1.0.0.0.0.0

%e .....1.1.1.0.0.0.1.1.1

%e ....1.0.0.0.0.0.1.0.0.0

%e ...1.0.0.0.1.1.1.0.0.0.0

%K nonn

%O 6,2

%A _R. H. Hardin_ Jan 22 2009