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

%I #5 Apr 26 2021 19:42:45

%S 1,7,19,43,239,1041,3863,18481,111137,720077,5291974,48305684

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

%e Maximal 10 X 10 X 10 example

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

%e ...........1.1

%e ..........0.0.1

%e .........0.0.0.1

%e ........1.1.0.1.0

%e .......1.0.0.0.1.0

%e ......1.0.0.0.0.1.1

%e .....0.1.0.0.0.0.0.0

%e ....0.1.0.1.1.1.0.0.1

%e ...1.1.0.1.0.0.1.1.1.0

%K nonn

%O 6,2

%A _R. H. Hardin_ Jan 22 2009