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%I #3 Mar 31 2012 12:35:22
%S 4,15,7,13,4,8,3,4,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
%T 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
%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 4 X 4 X 4 subtriangle summing to 8.
%C Value 2 starts at n=16 and continues through at least n=60.
%e Maximal zeros solution for n=16
%e .................2
%e ................0.0
%e ...............1.2.1
%e ..............1.0.0.1
%e .............0.2.0.2.0
%e ............2.0.1.1.0.2
%e ...........0.0.2.0.2.0.0
%e ..........1.2.1.0.0.1.2.1
%e .........1.0.0.1.2.1.0.0.1
%e ........0.2.0.2.0.0.2.0.2.0
%e .......2.0.1.1.0.2.0.1.1.0.2
%e ......0.0.2.0.2.0.0.2.0.2.0.0
%e .....1.2.1.0.0.1.2.1.0.0.1.2.1
%e ....1.0.0.1.2.1.0.0.1.2.1.0.0.1
%e ...0.2.0.2.0.0.2.0.2.0.0.2.0.2.0
%e ..2.0.1.1.0.2.0.1.1.0.2.0.1.1.0.2
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009
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