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A154040 Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 4 X 4 X 4 subtriangle summing to 4. 0

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

%S 4,11,13,16,13,6,10,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,

%T 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4

%N Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 4 X 4 X 4 subtriangle summing to 4.

%C Value 4 starts at n=13 and continues through at least n=55.

%e Maximal zeros solution for n=13

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

%e .............1.1

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

%e ...........0.0.0.1

%e ..........1.0.1.0.0

%e .........0.0.1.1.0.0

%e ........1.1.0.0.0.1.1

%e .......0.1.0.0.1.0.1.0

%e ......0.0.0.1.1.0.0.0.1

%e .....1.0.1.0.0.1.0.1.0.0

%e ....0.0.1.1.0.0.0.1.1.0.0

%e ...1.1.0.0.0.1.1.0.0.0.1.1

%e ..0.1.0.0.1.0.1.0.0.1.0.1.0

%K nonn

%O 4,1

%A _R. H. Hardin_ Jan 04 2009

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