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%I #3 Mar 31 2012 12:35:22
%S 5005,42379,161481,327971,465436,588412,315265,126740,40993,9833,4891,
%T 3523,2084,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,
%U 2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080
%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 6.
%C Value 2080 starts at n=17 and continues through at least n=50.
%e Maximal zeros solution for n=17
%e ..................0
%e .................0.0
%e ................0.0.3
%e ...............0.3.0.0
%e ..............3.0.0.0.0
%e .............0.0.0.0.3.0
%e ............0.0.0.3.0.0.0
%e ...........0.0.3.0.0.0.0.3
%e ..........0.3.0.0.0.0.3.0.0
%e .........3.0.0.0.0.3.0.0.0.0
%e ........0.0.0.0.3.0.0.0.0.3.0
%e .......0.0.0.3.0.0.0.0.3.0.0.0
%e ......0.0.3.0.0.0.0.3.0.0.0.0.3
%e .....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
%e ...0.0.0.0.3.0.0.0.0.3.0.0.0.0.3.0
%e ..0.0.0.3.0.0.0.0.3.0.0.0.0.3.0.0.0
%K nonn
%O 4,1
%A _R. H. Hardin_ Jan 04 2009
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