%I #3 Mar 31 2012 12:35:21
%S 4,14,23,19,11,38,9,12,11,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,
%T 7,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,7,4,7,10,7
%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.
%C Pattern 4 7 10 7 starts at n=13 and continues through at least n=60.
%e Maximal zeros solution for n=13
%e ..............2
%e .............0.0
%e ............0.1.0
%e ...........0.1.1.0
%e ..........2.0.0.0.2
%e .........0.0.1.1.0.0
%e ........0.1.0.1.0.1.0
%e .......0.1.1.0.0.1.1.0
%e ......2.0.0.0.2.0.0.0.2
%e .....0.0.1.1.0.0.1.1.0.0
%e ....0.1.0.1.0.1.0.1.0.1.0
%e ...0.1.1.0.0.1.1.0.0.1.1.0
%e ..2.0.0.0.2.0.0.0.2.0.0.0.2
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009