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%I #3 Mar 31 2012 12:35:35
%S 1,7,84,1072,73383,11347520,3274136129,2837230608103,5852047214414019
%N Number of nXnXn triangular nonnegative integer arrays with all sums of an element and its neighbors <= 6
%e Some solutions for n=4
%e .....0........2........3........4........0........3........0........0...
%e ....2.1......1.1......1.2......0.1......1.2......1.0......0.1......1.0..
%e ...1.0.1....2.0.1....0.0.0....0.0.0....0.0.0....1.0.0....1.0.0....2.1.0.
%e ..2.0.0.1..3.0.0.4..1.0.1.2..6.0.0.1..4.0.0.4..0.2.1.2..1.1.2.3..1.1.0.3
%e ------
%e .....3........2........1........1........3........0........2........2...
%e ....1.1......1.0......0.3......2.1......0.1......0.1......0.0......0.1..
%e ...1.0.0....3.0.0....1.0.2....1.0.0....0.0.2....0.0.2....0.0.1....0.1.0.
%e ..2.0.2.2..2.0.0.3..1.0.0.0..0.0.2.0..1.1.2.0..1.0.0.2..3.1.1.0..3.1.1.3
%K nonn
%O 0,2
%A _R. H. Hardin_ Oct 09 2009