%I #3 Mar 31 2012 12:35:22
%S 990,3472,5217,7165,5966,5372,3621,1629,738,448,184,109,100,87,87,87,
%T 87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,
%U 87,87,87,87,87,87,87,87,87
%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 8.
%C Value 87 starts at n=18 and continues through at least n=52.
%e Maximal zeros solution for n=18
%e ...................0
%e ..................1.1
%e .................0.3.0
%e ................0.0.0.0
%e ...............0.0.3.0.0
%e ..............1.0.0.0.0.1
%e .............2.0.0.2.0.0.2
%e ............0.1.0.1.1.0.1.0
%e ...........0.2.0.0.1.0.0.2.0
%e ..........0.0.1.0.1.1.0.1.0.0
%e .........0.0.2.0.0.1.0.0.2.0.0
%e ........2.0.0.1.0.1.1.0.1.0.0.2
%e .......1.1.0.1.0.0.2.0.0.1.0.1.1
%e ......0.0.0.1.2.0.0.0.0.2.1.0.0.0
%e .....0.2.1.0.0.0.0.3.0.0.0.0.1.2.0
%e ....0.0.0.0.1.2.0.0.0.0.2.1.0.0.0.0
%e ...1.0.2.1.0.0.0.0.3.0.0.0.0.1.2.0.1
%e ..1.1.0.0.0.1.2.0.0.0.0.2.1.0.0.0.1.1
%K nonn
%O 5,1
%A _R. H. Hardin_ Jan 04 2009