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

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

%S 1,7,19,37,67,231,1339,8869,45413,237925,1625066,15388021,179623547,

%T 2180692829,28227148274,428766984919

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

%e Maximal 10 X 10 X 10 example

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

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

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

%e .........1.0.1.0

%e ........0.0.1.0.1

%e .......1.1.0.1.1.0

%e ......0.0.1.0.0.0.1

%e .....0.1.1.0.1.1.0.1

%e ....0.1.0.0.1.0.1.1.0

%e ...0.0.1.1.0.1.0.0.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009