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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 9.
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%I #3 Mar 31 2012 12:35:22

%S 13,19,34,21,7,16,7,1,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

%T 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1

%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 9.

%C Value 1 starts at n=15 and continues through at least n=56.

%e Maximal zeros solution for n=15

%e ................1

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

%e ..............1.1.1

%e .............0.1.1.0

%e ............1.0.1.0.1

%e ...........1.1.0.0.1.1

%e ..........0.0.0.3.0.0.0

%e .........1.1.1.0.0.1.1.1

%e ........0.1.1.0.1.0.1.1.0

%e .......1.0.1.0.1.1.0.1.0.1

%e ......1.1.0.0.1.1.1.0.0.1.1

%e .....0.0.0.3.0.0.0.0.3.0.0.0

%e ....1.1.1.0.0.1.1.1.0.0.1.1.1

%e ...0.1.1.0.1.0.1.1.0.1.0.1.1.0

%e ..1.0.1.0.1.1.0.1.0.1.1.0.1.0.1

%K nonn

%O 5,1

%A _R. H. Hardin_ Jan 04 2009