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Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 5 X 5 X 5 subtriangle summing to 5.
0

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

%S 11628,79753,235290,356994,326326,194107,148269,45493,15037,5541,2529,

%T 2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,

%U 2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511,2511

%N Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 5 X 5 X 5 subtriangle summing to 5.

%C Value 2511 starts at n=16 and continues through at least n=49.

%e Maximal zeros solution for n=16

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

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

%e ...............0.0.2

%e ..............0.2.0.0

%e .............1.0.0.0.0

%e ............1.0.0.0.1.0

%e ...........0.0.0.1.0.1.0

%e ..........0.0.0.1.1.0.0.0

%e .........0.0.2.0.0.0.0.0.2

%e ........0.2.0.0.0.0.0.2.0.0

%e .......1.0.0.0.0.1.1.0.0.0.0

%e ......1.0.0.0.1.0.1.0.0.0.1.0

%e .....0.0.0.1.0.1.0.0.0.1.0.1.0

%e ....0.0.0.1.1.0.0.0.0.1.1.0.0.0

%e ...0.0.2.0.0.0.0.0.2.0.0.0.0.0.2

%e ..0.2.0.0.0.0.0.2.0.0.0.0.0.2.0.0

%K nonn

%O 5,1

%A _R. H. Hardin_ Jan 04 2009