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Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 6.
0

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

%S 462,3027,9998,20114,39391,39343,30768,18131,8308,5783,7858,5661,6349,

%T 7852,5661,5661,8702,5661,5661,7852,6349,5661,7852,5661,6349,7852,

%U 5661,5661,8702,5661,5661,7852,6349,5661,7852,5661,6349,7852,5661,5661,8702

%N Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 3 X 3 X 3 subtriangle summing to 6.

%e Maximal zeros solution for n=14

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

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

%e .............0.3.3

%e ............3.0.0.0

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

%e ..........0.3.0.0.3.3

%e .........3.0.0.3.0.0.0

%e ........0.0.3.0.0.3.0.0

%e .......0.3.0.0.3.0.0.3.3

%e ......3.0.0.3.0.0.3.0.0.0

%e .....0.0.3.0.0.3.0.0.3.0.0

%e ....0.3.0.0.3.0.0.3.0.0.3.3

%e ...3.0.0.3.0.0.3.0.0.3.0.0.0

%e ..0.0.3.0.0.3.0.0.3.0.0.3.0.0

%K nonn

%O 3,1

%A _R. H. Hardin_ Jan 04 2009