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Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 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 1,4,10,19,34,64,213,1157,6478,33461,167462,890029,6064749,55393044,

%T 595987834,6995484146,87602949947

%N Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 4,2 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 ............1.1

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

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

%e .........1.0.1.0.1

%e ........0.0.1.0.0.0

%e .......1.0.1.0.0.0.1

%e ......1.0.1.0.0.0.0.1

%e .....1.0.0.1.1.1.1.0.1

%e ....1.0.0.0.0.0.0.0.0.1

%e ...0.1.1.1.1.0.1.1.1.1.0

%K nonn

%O 4,2

%A _R. H. Hardin_ Jan 22 2009