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%I #3 Mar 31 2012 12:35:22
%S 0,25,47,0,15,26,0,5,12,0,1,14,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,
%T 10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0
%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 10.
%C Pattern 0 0 10 starts at n=17 and continues through at least n=53.
%e Maximal zeros solution for n=19
%e ....................2
%e ...................0.0
%e ..................0.2.0
%e .................2.0.0.2
%e ................0.0.2.0.0
%e ...............0.2.0.0.2.0
%e ..............2.0.0.2.0.0.2
%e .............0.0.2.0.0.2.0.0
%e ............0.2.0.0.2.0.0.2.0
%e ...........2.0.0.2.0.0.2.0.0.2
%e ..........0.0.2.0.0.2.0.0.2.0.0
%e .........0.2.0.0.2.0.0.2.0.0.2.0
%e ........2.0.0.2.0.0.2.0.0.2.0.0.2
%e .......0.0.2.0.0.2.0.0.2.0.0.2.0.0
%e ......0.2.0.0.2.0.0.2.0.0.2.0.0.2.0
%e .....2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2
%e ....0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0
%e ...0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0
%e ..2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2
%K nonn
%O 5,2
%A _R. H. Hardin_ Jan 04 2009
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