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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 5.
0

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

%S 252,1304,3408,5277,7873,6195,3852,2331,1803,1728,1968,1728,1728,1872,

%T 1728,1728,1864,1728,1728,1872,1728,1728,1968,1728,1728,1872,1728,

%U 1728,1864,1728,1728,1872,1728,1728,1968,1728,1728,1872,1728,1728,1864,1728

%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 5.

%C Pattern 1728 1968 1728 1728 1872 1728 1728 1864 1728 1728 1872 1728 starts at n=12 and continues through at least n=55.

%e Maximal zeros solution for n=12

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

%e ............0.2

%e ...........3.0.0

%e ..........0.1.1.1

%e .........0.1.0.2.1

%e ........1.1.2.0.0.1

%e .......2.1.0.0.3.0.0

%e ......0.0.1.2.0.0.2.2

%e .....1.1.1.1.0.2.0.1.0

%e ....0.2.1.0.1.1.1.1.0.1

%e ...2.0.0.1.2.0.1.0.2.1.1

%e ..2.0.1.2.0.0.2.1.0.1.1.0

%K nonn

%O 3,1

%A _R. H. Hardin_ Jan 04 2009