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Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.
0

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

%S 1,7,19,58,199,688,3581,19670,126183,979162,8439890,86791208,

%T 1020461563

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,1 5,2 6,3 polyhexes in any orientation on a planar nXnXn triangular grid.

%e Maximal 12 X 12 X 12 example

%e ..............1

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

%e ............1.0.1

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

%e ..........1.0.0.1.0

%e .........0.1.0.1.0.1

%e ........0.1.0.1.0.0.1

%e .......0.0.1.0.0.0.0.1

%e ......1.0.0.1.0.0.0.1.0

%e .....0.1.0.0.0.0.0.0.1.0

%e ....0.0.1.1.0.0.0.0.1.0.0

%e ...0.0.0.0.1.1.1.0.1.0.0.0

%K nonn

%O 6,2

%A _R. H. Hardin_ Jan 22 2009