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

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

%S 1,7,25,55,208,1168,8750,74240,701683,8051955,120548805,2289918377,

%T 52736906771

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

%e Maximal 11 X 11 X 11 example

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

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

%e ...........0.0.0

%e ..........1.1.0.1

%e .........1.0.0.0.1

%e ........0.1.0.0.1.0

%e .......0.1.0.0.0.1.0

%e ......0.0.1.0.1.1.0.1

%e .....1.0.0.0.0.0.0.0.1

%e ....0.1.1.0.1.0.0.1.1.0

%e ...0.0.0.1.1.0.1.1.0.0.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009