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Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 5 X 5 X 5 subtriangle summing to 15.
0

%I #3 Mar 31 2012 12:35:22

%S 34,71,166,99,63,160,77,49,77,38,24,64,20,26,24,20,21,32,18,20

%N Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 5 X 5 X 5 subtriangle summing to 15.

%e Maximal zeros solution for n=20

%e .....................3

%e ....................3.3

%e ...................0.1.0

%e ..................0.0.0.0

%e .................0.1.3.1.0

%e ................0.0.3.3.0.0

%e ...............3.1.0.1.0.1.3

%e ..............3.3.0.0.0.0.3.3

%e .............0.1.0.1.3.1.0.1.0

%e ............0.0.0.0.3.3.0.0.0.0

%e ...........0.1.3.1.0.1.0.1.3.1.0

%e ..........0.0.3.3.0.0.0.0.3.3.0.0

%e .........3.1.0.1.0.1.3.1.0.1.0.1.3

%e ........3.3.0.0.0.0.3.3.0.0.0.0.3.3

%e .......0.1.0.1.3.1.0.1.0.1.3.1.0.1.0

%e ......0.0.0.0.3.3.0.0.0.0.3.3.0.0.0.0

%e .....0.1.3.1.0.1.0.1.3.1.0.1.0.1.3.1.0

%e ....0.0.3.3.0.0.0.0.3.3.0.0.0.0.3.3.0.0

%e ...3.1.0.1.0.1.3.1.0.1.0.1.3.1.0.1.0.1.3

%e ..3.3.0.0.0.0.3.3.0.0.0.0.3.3.0.0.0.0.3.3

%K nonn

%O 5,1

%A _R. H. Hardin_ Jan 04 2009