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

%I #3 Mar 31 2012 12:35:23

%S 1,4,10,22,40,161,562,3058,15699,98124,620233,5239100,48386446,

%T 558536676,7037622489,106784846181

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

%e Maximal 9 X 9 X 9 example

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

%e ..........0.0

%e .........1.1.1

%e ........1.0.0.0

%e .......1.0.1.1.1

%e ......0.1.0.0.0.1

%e .....1.0.1.0.1.0.1

%e ....0.1.0.0.1.0.1.0

%e ...0.0.1.1.1.0.1.0.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009