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%I #3 Mar 31 2012 12:35:21
%S 2002,12641,36620,59041,74474,98432,43074,22005,15011,19336,14149,
%T 14176,14149,19306,14149,14176,14149,19306,14149,14176,14149,19306,
%U 14149,14176,14149,19306,14149,14176,14149,19306,14149,14176,14149,19306,14149,14176
%N Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.
%C Pattern 14149 14176 14149 19306 starts at n=14 and continues through at least n=50.
%e Maximal zeros solution for n=14
%e ...............0
%e ..............0.0
%e .............0.0.0
%e ............2.1.0.2
%e ...........0.0.0.2.0
%e ..........0.1.1.0.0.0
%e .........0.0.1.0.1.0.0
%e ........2.1.0.0.1.1.0.2
%e .......0.0.0.2.0.0.0.2.0
%e ......0.1.1.0.0.1.1.0.0.0
%e .....0.0.1.0.1.0.1.0.1.0.0
%e ....2.1.0.0.1.1.0.0.1.1.0.2
%e ...0.0.0.2.0.0.0.2.0.0.0.2.0
%e ..0.2.0.0.0.2.0.0.0.2.0.0.0.1
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009
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