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%I #3 Mar 31 2012 12:35:21
%S 144,321,322,328,186,123,89,49,37,31,27,27,27,27,27,27,27,27,27,27,27,
%T 27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
%U 27,27,27,27,27,27,27,27,27,27,27,27
%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 5.
%C Value 27 starts at n=15 and continues through at least n=60.
%e Maximal zeros solution for n=15
%e ................2
%e ...............0.0
%e ..............0.2.0
%e .............0.0.0.0
%e ............0.0.1.0.0
%e ...........0.0.1.1.0.0
%e ..........2.0.0.0.0.0.2
%e .........0.0.0.1.1.0.0.0
%e ........0.2.0.0.0.0.0.2.0
%e .......0.0.0.0.1.1.0.0.0.0
%e ......0.0.1.0.0.1.0.0.1.0.0
%e .....0.0.1.1.0.0.0.0.1.1.0.0
%e ....2.0.0.0.0.0.2.0.0.0.0.0.2
%e ...0.0.0.1.1.0.0.0.0.1.1.0.0.0
%e ..0.2.0.0.0.0.0.2.0.0.0.0.0.2.0
%K nonn
%O 5,1
%A _R. H. Hardin_ Jan 04 2009