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

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

%S 1,4,10,45,176,869,5649,44314,456024,5472215,82109824,1515983373,

%T 34737855825,992142189277

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

%e Maximal 12 X 12 X 12 example

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

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

%e ............1.0.0

%e ...........1.0.0.1

%e ..........1.0.1.0.1

%e .........0.0.0.1.0.1

%e ........1.0.1.0.1.0.1

%e .......1.0.1.0.0.1.0.0

%e ......1.0.1.0.0.0.0.0.1

%e .....1.0.1.0.1.1.1.1.0.1

%e ....0.0.0.0.0.0.0.0.0.0.1

%e ...0.1.1.1.1.0.1.1.1.1.0.1

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009