%I
%S 0,14,8,0,29,0,0,33,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,
%T 0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0,27,0,0
%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 4.
%C Pattern 0 0 27 starts at n=11 and continues through at least n=60.
%e Maximal zeros solution for n=13
%e ..............0
%e .............0.2
%e ............2.0.0
%e ...........0.0.2.0
%e ..........0.2.0.0.2
%e .........2.0.0.2.0.0
%e ........0.0.2.0.0.2.0
%e .......0.2.0.0.2.0.0.2
%e ......2.0.0.2.0.0.2.0.0
%e .....0.0.2.0.0.2.0.0.2.0
%e ....0.2.0.0.2.0.0.2.0.0.2
%e ...2.0.0.2.0.0.2.0.0.2.0.0
%e ..0.0.2.0.0.2.0.0.2.0.0.2.0
%K nonn
%O 3,2
%A _R. H. Hardin_ Jan 04 2009
