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Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 2 X 2 X 2 subtriangle summing to 3.
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%I #3 Mar 31 2012 12:35:21

%S 1,2,10,2,3,11,3,2,12,2,3,11,3,2,12,2,3,11,3,2,12,2,3,11,3,2,12,2,3,

%T 11,3,2,12,2,3,11,3,2,12,2,3,11,3,2,12,2,3,11,3,2,12,2,3,11,3,2,12,2,3

%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 2 X 2 X 2 subtriangle summing to 3.

%C Pattern 2 3 11 3 2 12 starts at n=5 and continues through at least n=60.

%e Maximal zeros solution for n=11

%e ............3

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

%e ..........2.1.2

%e .........0.1.1.0

%e ........2.1.1.1.2

%e .......0.1.1.1.1.0

%e ......2.1.1.1.1.1.2

%e .....0.1.1.1.1.1.1.0

%e ....2.1.1.1.1.1.1.1.2

%e ...0.1.1.1.1.1.1.1.1.0

%e ..3.0.2.0.2.0.2.0.2.0.3

%K nonn

%O 2,2

%A _R. H. Hardin_ Jan 04 2009