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%I #3 Mar 31 2012 12:35:22
%S 77,419,263,565,252,422,79,74,15,21,11,11,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
%T 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8
%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 6.
%C Value 8 starts at n=16 and continues through at least n=60.
%e Maximal zeros solution for n=16
%e .................3
%e ................0.0
%e ...............0.3.0
%e ..............0.0.0.0
%e .............0.0.3.0.0
%e ............3.0.0.0.0.3
%e ...........0.0.0.3.0.0.0
%e ..........0.3.0.0.0.0.3.0
%e .........0.0.0.0.3.0.0.0.0
%e ........0.0.3.0.0.0.0.3.0.0
%e .......3.0.0.0.0.3.0.0.0.0.3
%e ......0.0.0.3.0.0.0.0.3.0.0.0
%e .....0.3.0.0.0.0.3.0.0.0.0.3.0
%e ....0.0.0.0.3.0.0.0.0.3.0.0.0.0
%e ...0.0.3.0.0.0.0.3.0.0.0.0.3.0.0
%e ..3.0.0.0.0.3.0.0.0.0.3.0.0.0.0.3
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009