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%I #3 Mar 31 2012 12:35:22
%S 300,782,945,1120,906,954,767,352,274,247,240,284,240,240,240,240,284,
%T 240,240,240,240,284,240,240,240,240,284,240,240,240,240,284,240,240,
%U 240,240,284,240,240,240,240,284,240,240,240,240,284,240,240,240,240,284,240
%N Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 6.
%C Pattern 240 284 240 240 240 starts at n=15 and continues through at least n=59.
%e Maximal zeros solution for n=15
%e ................2
%e ...............0.0
%e ..............0.2.0
%e .............0.0.0.0
%e ............0.0.2.0.0
%e ...........2.0.0.0.0.2
%e ..........0.0.0.2.0.0.0
%e .........0.2.0.0.0.0.2.0
%e ........0.0.0.0.2.0.0.0.0
%e .......0.0.2.0.0.0.0.2.0.0
%e ......2.0.0.0.0.2.0.0.0.0.2
%e .....0.0.0.2.0.0.0.0.2.0.0.0
%e ....0.2.0.0.0.0.2.0.0.0.0.2.0
%e ...0.0.0.0.2.0.0.0.0.2.0.0.0.0
%e ..0.0.2.0.0.0.0.2.0.0.0.0.2.0.0
%K nonn
%O 5,1
%A _R. H. Hardin_ Jan 04 2009
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