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%I #3 Mar 31 2012 12:35:21
%S 3,30,17,20,88,16,18,110,28,14,82,12,28,76,12,12,86,12,12,76,28,12,76,
%T 12,28,76,12,12,86,12,12,76,28,12,76,12,28,76,12,12,86,12,12,76,28,12,
%U 76,12,28,76,12,12,86,12,12,76,28,12
%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 3 X 3 X 3 subtriangle summing to 6.
%C Pattern 12 28 76 12 12 86 12 12 76 28 12 76 starts at n=14 and continues through at least n=60.
%e Maximal zeros solution for n=14
%e ...............2
%e ..............2.2
%e .............0.0.0
%e ............0.2.2.0
%e ...........2.0.2.0.2
%e ..........2.2.0.0.2.2
%e .........0.0.0.4.0.0.0
%e ........0.2.2.0.0.2.2.0
%e .......2.0.2.0.2.0.2.0.2
%e ......2.2.0.0.2.2.0.0.2.2
%e .....0.0.0.4.0.0.0.4.0.0.0
%e ....0.2.2.0.0.2.2.0.0.2.2.0
%e ...2.0.2.0.2.0.2.0.2.0.2.0.2
%e ..2.2.0.0.2.2.0.0.2.2.0.0.2.2
%K nonn
%O 3,1
%A _R. H. Hardin_ Jan 04 2009
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