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

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

%S 1,13,37,73,274,2707,30458,210247,1927098,30544775,732699440,

%T 16750707651,417262694530,14440304500005,706310189376904

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

%e Maximal 13 X 13 X 13 example

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

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

%e .............1.1.0

%e ............1.0.1.0

%e ...........0.1.0.0.0

%e ..........0.0.0.0.0.0

%e .........1.0.0.0.0.0.1

%e ........1.0.1.0.0.1.0.1

%e .......0.1.1.0.0.0.1.1.0

%e ......1.0.0.1.0.0.1.0.0.1

%e .....1.0.1.0.0.1.0.0.1.0.1

%e ....0.1.1.0.1.1.0.1.0.1.1.0

%e ...0.0.0.1.0.0.1.1.0.1.0.0.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009