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Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 4.
0

%I #3 Mar 31 2012 12:35:21

%S 126,503,1046,1389,1898,1290,897,912,621,621,900,621,621,900,621,621,

%T 900,621,621,900,621,621,900,621,621,900,621,621,900,621,621,900,621,

%U 621,900,621,621,900,621,621,900,621,621,900,621,621,900,621,621,900,621,621,900

%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 4.

%C Pattern 621 621 900 starts at n=11 and continues through at least n=57.

%e Maximal zeros solution for n=11

%e ............0

%e ...........0.0

%e ..........0.2.2

%e .........2.0.0.0

%e ........0.0.2.0.0

%e .......0.2.0.0.2.2

%e ......2.0.0.2.0.0.0

%e .....0.0.2.0.0.2.0.0

%e ....0.2.0.0.2.0.0.2.2

%e ...2.0.0.2.0.0.2.0.0.0

%e ..0.0.2.0.0.2.0.0.2.0.0

%K nonn

%O 3,1

%A _R. H. Hardin_ Jan 04 2009