%I #3 Mar 31 2012 12:35:21
%S 252,1304,3408,5277,7873,6195,3852,2331,1803,1728,1968,1728,1728,1872,
%T 1728,1728,1864,1728,1728,1872,1728,1728,1968,1728,1728,1872,1728,
%U 1728,1864,1728,1728,1872,1728,1728,1968,1728,1728,1872,1728,1728,1864,1728
%N Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 5.
%C Pattern 1728 1968 1728 1728 1872 1728 1728 1864 1728 1728 1872 1728 starts at n=12 and continues through at least n=55.
%e Maximal zeros solution for n=12
%e .............0
%e ............0.2
%e ...........3.0.0
%e ..........0.1.1.1
%e .........0.1.0.2.1
%e ........1.1.2.0.0.1
%e .......2.1.0.0.3.0.0
%e ......0.0.1.2.0.0.2.2
%e .....1.1.1.1.0.2.0.1.0
%e ....0.2.1.0.1.1.1.1.0.1
%e ...2.0.0.1.2.0.1.0.2.1.1
%e ..2.0.1.2.0.0.2.1.0.1.1.0
%K nonn
%O 3,1
%A _R. H. Hardin_ Jan 04 2009