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Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.
0

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

%S 42,191,108,203,80,166,44,95,35,82,35,88,35,82,35,88,35,82,35,88,35,

%T 82,35,88,35,82,35,88,35,82,35,88,35,82,35,88,35,82,35,88,35,82,35,88,

%U 35,82,35,88,35,82,35,88,35,82,35,88,35

%N Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.

%C Pattern 35 82 35 88 starts at n=12 and continues through at least n=60.

%e Maximal zeros solution for n=12

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

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

%e ...........0.2.0

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

%e .........2.0.1.0.2

%e ........0.0.1.1.0.0

%e .......0.2.0.0.0.2.0

%e ......0.0.0.1.1.0.0.0

%e .....2.0.1.0.1.0.1.0.2

%e ....0.0.1.1.0.0.1.1.0.0

%e ...0.2.0.0.0.2.0.0.0.2.0

%e ..0.0.0.1.1.0.0.1.1.0.0.0

%K nonn

%O 4,1

%A _R. H. Hardin_ Jan 04 2009