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%I #3 Mar 31 2012 12:35:22
%S 22,40,80,53,27,67,30,17,28,9,10,6,9,9,9,9,6,9,9,9,9,6,9,9,9,9,6,9,9,
%T 9,9,6,9,9,9,9,6,9,9,9,9,6,9,9,9,9,6
%N Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 5 X 5 X 5 subtriangle summing to 12.
%C Pattern 6 9 9 9 9 starts at n=16 and continues through at least n=51.
%e Maximal zeros solution for n=16
%e .................6
%e ................0.0
%e ...............0.0.0
%e ..............0.2.2.0
%e .............0.0.2.0.0
%e ............4.1.0.0.1.4
%e ...........0.1.0.2.0.1.0
%e ..........0.0.0.2.2.0.0.0
%e .........0.2.2.0.0.0.2.2.0
%e ........0.0.2.0.1.1.0.2.0.0
%e .......4.1.0.0.1.2.1.0.0.1.4
%e ......0.1.0.2.0.1.1.0.2.0.1.0
%e .....0.0.0.2.2.0.0.0.2.2.0.0.0
%e ....0.2.2.0.0.0.2.2.0.0.0.2.2.0
%e ...0.0.2.0.1.1.0.2.0.1.1.0.2.0.0
%e ..6.0.0.0.0.4.0.0.0.0.4.0.0.0.0.6
%K nonn
%O 5,1
%A _R. H. Hardin_ Jan 04 2009
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