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%I #3 Mar 31 2012 12:35:22
%S 0,877,6567,0,8577,46236,0,21094,113156,0
%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 14.
%e Maximal zeros solution for n=12
%e .............0
%e ............0.2
%e ...........6.4.0
%e ..........0.0.0.0
%e .........0.0.0.0.2
%e ........0.0.0.0.4.2
%e .......2.0.0.2.4.0.0
%e ......2.4.4.0.0.0.0.0
%e .....0.0.0.2.0.2.0.0.0
%e ....0.0.0.0.0.4.0.0.0.6
%e ...2.4.0.0.0.0.4.0.0.4.0
%e ..0.0.6.0.0.0.2.2.0.0.2.0
%K nonn
%O 5,2
%A _R. H. Hardin_ Jan 04 2009
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