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

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

%S 1,7,25,55,249,2622,27709,246241,3322988,74905084,2082119083,

%T 63776107886,2604956304910,150599199628251,11318149143066683

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

%e Maximal 13 X 13 X 13 example

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

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

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

%e ............1.0.0.1

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

%e ..........1.1.0.0.1.1

%e .........0.0.1.0.1.0.0

%e ........0.1.0.0.0.0.1.0

%e .......1.1.0.1.1.1.0.1.1

%e ......0.1.0.0.0.1.0.0.1.0

%e .....1.0.1.0.1.0.1.0.1.0.1

%e ....0.1.0.0.0.1.0.0.0.0.1.0

%e ...0.1.1.1.0.1.1.1.0.1.1.1.0

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009