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

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

%S 1,7,25,64,265,1577,11987,107928,1180991,15701569,264954393,

%T 5697447937,151647215266

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

%e Maximal 11 X 11 X 11 example

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

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

%e ...........0.1.1

%e ..........1.1.0.0

%e .........1.0.0.1.1

%e ........0.0.0.0.1.0

%e .......1.0.1.0.1.0.1

%e ......1.0.0.1.0.1.0.1

%e .....0.1.0.1.0.1.0.1.0

%e ....0.1.0.0.1.0.0.0.1.0

%e ...0.1.1.0.1.1.0.0.1.1.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009