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%I #3 Mar 31 2012 12:35:22
%S 182,1408,988,2849,1206,2855,879,1266,284,262,114,119,51,61,51,61,51,
%T 51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,
%U 51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51
%N Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 4 X 4 X 4 subtriangle summing to 8.
%C Value 51 starts at n=20 and continues through at least n=60.
%e Maximal zeros solution for n=20
%e .....................4
%e ....................0.0
%e ...................0.4.0
%e ..................0.0.0.0
%e .................0.0.4.0.0
%e ................4.0.0.0.0.4
%e ...............0.0.0.4.0.0.0
%e ..............0.4.0.0.0.0.4.0
%e .............0.0.0.0.4.0.0.0.0
%e ............0.0.4.0.0.0.0.4.0.0
%e ...........4.0.0.0.0.4.0.0.0.0.4
%e ..........0.0.0.4.0.0.0.0.4.0.0.0
%e .........0.4.0.0.0.0.4.0.0.0.0.4.0
%e ........0.0.0.0.4.0.0.0.0.4.0.0.0.0
%e .......0.0.4.0.0.0.0.4.0.0.0.0.4.0.0
%e ......4.0.0.0.0.4.0.0.0.0.4.0.0.0.0.4
%e .....0.0.0.4.0.0.0.0.4.0.0.0.0.4.0.0.0
%e ....0.4.0.0.0.0.4.0.0.0.0.4.0.0.0.0.4.0
%e ...0.0.0.0.4.0.0.0.0.4.0.0.0.0.4.0.0.0.0
%e ..0.0.4.0.0.0.0.4.0.0.0.0.4.0.0.0.0.4.0.0
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009
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