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

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

%S 1,13,37,73,270,3023,31666,204526,1765714,30617532,748500437,

%T 15766186082,363909913887,12760152079877,642694450893529

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

%C Same series for 1,0 2,0 2,1 2,2 3,0 4,1 polyhexes.

%e Maximal 11 X 11 X 11 example

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

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

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

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

%e .........0.1.0.1.1

%e ........0.0.0.0.1.0

%e .......0.1.0.1.0.1.1

%e ......0.1.1.1.0.1.0.0

%e .....1.0.0.0.1.0.0.0.1

%e ....0.1.1.1.0.0.1.1.1.0

%e ...0.1.0.1.0.0.0.1.0.1.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009