%I #3 Mar 31 2012 12:35:21
%S 462,3027,9998,20114,39391,39343,30768,18131,8308,5783,7858,5661,6349,
%T 7852,5661,5661,8702,5661,5661,7852,6349,5661,7852,5661,6349,7852,
%U 5661,5661,8702,5661,5661,7852,6349,5661,7852,5661,6349,7852,5661,5661,8702
%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 6.
%e Maximal zeros solution for n=14
%e ...............0
%e ..............0.0
%e .............0.3.3
%e ............3.0.0.0
%e ...........0.0.3.0.0
%e ..........0.3.0.0.3.3
%e .........3.0.0.3.0.0.0
%e ........0.0.3.0.0.3.0.0
%e .......0.3.0.0.3.0.0.3.3
%e ......3.0.0.3.0.0.3.0.0.0
%e .....0.0.3.0.0.3.0.0.3.0.0
%e ....0.3.0.0.3.0.0.3.0.0.3.3
%e ...3.0.0.3.0.0.3.0.0.3.0.0.0
%e ..0.0.3.0.0.3.0.0.3.0.0.3.0.0
%K nonn
%O 3,1
%A _R. H. Hardin_ Jan 04 2009