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

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

%S 1,7,19,37,100,478,3236,19635,120080,957011,10308520,134839273,

%T 1943304769,32282816021,657583832803,16484816876989

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

%e Maximal 12 X 12 X 12 example

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

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

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

%e ...........0.0.0.0

%e ..........0.1.0.1.0

%e .........0.1.0.0.1.0

%e ........1.1.0.0.0.1.1

%e .......0.0.1.0.0.1.0.0

%e ......1.0.0.1.0.1.0.0.1

%e .....0.1.0.0.0.0.0.0.1.0

%e ....0.0.1.1.1.0.1.1.1.0.0

%e ...0.0.1.0.0.0.0.0.0.1.0.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 22 2009