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

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

%S 1,7,19,70,328,1523,7988,53382,440756,4250070,49171805,677879590,

%T 10958762075

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

%e Maximal 12 X 12 X 12 example

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

%e .............0.1

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

%e ...........0.0.1.0

%e ..........0.0.0.1.0

%e .........0.1.0.0.1.0

%e ........0.1.0.0.0.0.0

%e .......1.1.0.0.0.1.1.1

%e ......1.0.0.1.1.1.0.0.0

%e .....1.0.0.0.0.0.0.0.0.0

%e ....0.0.1.1.1.0.0.0.1.1.1

%e ...1.1.1.0.0.0.1.1.1.0.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009