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%I
%S 112,744,469,1180,477,951,243,382,84,154,57,136,68,106,56,136,56,136,
%T 56,136,56,106,68,136,56,106,56,136,56,106,56,136,68,106,56,136,56,
%U 136,56,136,56,106,68,136,56,106,56,136,56,106,56,136,68,106,56,136,56
%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 7.
%e Maximal zeros solution for n=15
%e ................0
%e ...............0.0
%e ..............0.3.0
%e .............2.0.0.2
%e ............0.0.2.0.0
%e ...........1.0.1.1.0.1
%e ..........0.2.0.1.0.2.0
%e .........2.1.0.1.1.0.1.2
%e ........0.0.1.0.2.0.1.0.0
%e .......0.0.2.1.0.0.1.2.0.0
%e ......1.2.0.0.0.3.0.0.0.2.1
%e .....2.0.0.2.1.0.0.1.2.0.0.2
%e ....0.1.1.0.1.0.2.0.1.0.1.1.0
%e ...0.0.1.1.1.0.1.1.0.1.1.1.0.0
%e ..0.0.1.2.0.0.0.3.0.0.0.2.1.0.0
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009
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