%I #3 Mar 31 2012 12:35:35
%S 1,9,165,3613,534687,215061366,191732812341,622888856402932
%N Number of nXnXn triangular nonnegative integer arrays with all sums of an element and its neighbors <= 8
%e Some solutions for n=4
%e .....1........2........4........0........2........4........4........6...
%e ....0.2......0.3......0.0......4.3......0.1......1.0......1.2......0.0..
%e ...1.2.2....1.1.2....1.0.2....0.0.0....0.1.2....2.1.2....0.0.1....2.0.0.
%e ..1.0.1.1..2.0.1.0..7.0.0.0..2.0.1.1..3.1.1.0..3.0.1.1..1.1.0.1..3.0.0.1
%e ------
%e .....0........0........3........3........1........0........3........8...
%e ....1.1......3.1......1.3......2.0......0.4......0.2......0.1......0.0..
%e ...3.1.2....0.0.2....0.1.0....0.2.1....0.1.0....1.3.0....1.0.3....0.0.0.
%e ..0.0.0.1..3.1.0.0..2.1.0.0..3.1.0.0..6.0.1.0..1.1.1.0..2.1.1.1..2.1.1.1
%K nonn
%O 0,2
%A _R. H. Hardin_ Oct 09 2009