%I #3 Mar 31 2012 12:35:35
%S 1,5,35,232,6052,285850,20417349,3439249710,1105607996796,
%T 654788462119153,783760670032822151
%N Number of nXnXn triangular nonnegative integer arrays with all sums of an element and its neighbors <= 4
%e Some solutions for n=4
%e .....1........4........0........0........0........2........0........1...
%e ....0.0......0.0......2.0......0.3......0.1......0.1......1.0......1.0..
%e ...0.0.1....0.0.0....1.0.0....1.0.0....2.0.0....1.0.1....0.0.2....1.0.1.
%e ..2.0.0.3..1.2.1.0..1.0.1.3..3.0.0.1..1.0.1.1..3.0.0.0..3.0.0.1..2.0.1.0
%e ------
%e .....2........0........1........1........2........0........1........1...
%e ....0.1......1.1......0.0......3.0......0.0......1.1......3.0......1.0..
%e ...0.0.0....0.0.0....2.1.0....0.0.0....0.0.0....1.0.0....0.0.0....1.0.0.
%e ..1.0.0.2..2.1.1.0..0.0.0.2..0.0.0.0..2.0.0.3..2.0.0.1..1.0.0.1..2.0.1.0
%K nonn
%O 0,2
%A _R. H. Hardin_ Oct 09 2009