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

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

%S 1,4,13,28,70,418,3187,20380,144781,1561781,23475489,388651137,

%T 7313541265,177385458253,5624711721417,217536953984714

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

%e Maximal 11 X 11 X 11 example

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

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

%e ...........1.1.1

%e ..........0.0.1.1

%e .........1.1.0.0.0

%e ........0.1.0.1.1.0

%e .......0.1.1.0.1.1.1

%e ......1.0.1.0.0.0.1.0

%e .....1.1.0.0.1.1.0.0.1

%e ....0.1.0.1.1.1.0.1.1.1

%e ...0.1.1.0.1.0.0.1.1.0.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009