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Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 14.
0

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

%S 0,877,6567,0,8577,46236,0,21094,113156,0

%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 14.

%e Maximal zeros solution for n=12

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

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

%e ...........6.4.0

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

%e .........0.0.0.0.2

%e ........0.0.0.0.4.2

%e .......2.0.0.2.4.0.0

%e ......2.4.4.0.0.0.0.0

%e .....0.0.0.2.0.2.0.0.0

%e ....0.0.0.0.0.4.0.0.0.6

%e ...2.4.0.0.0.0.4.0.0.4.0

%e ..0.0.6.0.0.0.2.2.0.0.2.0

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 04 2009