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Number of nXnXn triangular nonnegative integer arrays with all sums of an element and its neighbors <= 4
0

%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