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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 5 X 5 X 5 subtriangle summing to 8.
0

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

%S 990,3472,5217,7165,5966,5372,3621,1629,738,448,184,109,100,87,87,87,

%T 87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,

%U 87,87,87,87,87,87,87,87,87

%N Number of planar triangular n X n X n nonnegative integer grids with mirror symmetry about one altitude with every similarly oriented 5 X 5 X 5 subtriangle summing to 8.

%C Value 87 starts at n=18 and continues through at least n=52.

%e Maximal zeros solution for n=18

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

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

%e .................0.3.0

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

%e ...............0.0.3.0.0

%e ..............1.0.0.0.0.1

%e .............2.0.0.2.0.0.2

%e ............0.1.0.1.1.0.1.0

%e ...........0.2.0.0.1.0.0.2.0

%e ..........0.0.1.0.1.1.0.1.0.0

%e .........0.0.2.0.0.1.0.0.2.0.0

%e ........2.0.0.1.0.1.1.0.1.0.0.2

%e .......1.1.0.1.0.0.2.0.0.1.0.1.1

%e ......0.0.0.1.2.0.0.0.0.2.1.0.0.0

%e .....0.2.1.0.0.0.0.3.0.0.0.0.1.2.0

%e ....0.0.0.0.1.2.0.0.0.0.2.1.0.0.0.0

%e ...1.0.2.1.0.0.0.0.3.0.0.0.0.1.2.0.1

%e ..1.1.0.0.0.1.2.0.0.0.0.2.1.0.0.0.1.1

%K nonn

%O 5,1

%A _R. H. Hardin_ Jan 04 2009