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

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

%S 1,7,25,105,639,3603,22857,241966,2928219,43585143,850752020,

%T 19021431704,530984535190

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

%e Maximal 11 X 11 X 11 example

%e .............1

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

%e ...........1.1.0

%e ..........1.0.0.0

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

%e ........0.0.0.1.1.0

%e .......1.0.0.0.1.0.1

%e ......1.0.0.0.0.1.0.1

%e .....1.0.0.0.0.0.1.0.1

%e ....1.1.0.0.0.1.0.0.1.1

%e ...1.0.0.1.1.1.1.1.0.0.1

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009