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

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

%S 1,4,10,19,34,64,439,3090,19210,101422,504509,4329846,55414347,

%T 830264641,12430929701,182359363367,3254398810400,78220337119222

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

%C Same series for 0,0 1,0 1,1 2,0 2,1 2,2 3,0 3,3 polyhexes.

%e Maximal 10 X 10 X 10 example

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

%e ...........1.1

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

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

%e ........0.0.1.0.0

%e .......0.0.0.1.0.0

%e ......1.0.0.0.1.0.1

%e .....1.0.1.1.1.1.0.1

%e ....1.0.0.0.0.0.0.0.1

%e ...1.1.1.1.0.0.1.1.1.1

%K nonn

%O 3,2

%A _R. H. Hardin_ Jan 22 2009