A154049 - OEIS

A154049

Number of planar triangular n X n X n nonnegative integer grids with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.

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

%S 2002,12641,36620,59041,74474,98432,43074,22005,15011,19336,14149,

%T 14176,14149,19306,14149,14176,14149,19306,14149,14176,14149,19306,

%U 14149,14176,14149,19306,14149,14176,14149,19306,14149,14176,14149,19306,14149,14176

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

%C Pattern 14149 14176 14149 19306 starts at n=14 and continues through at least n=50.

%e Maximal zeros solution for n=14

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

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

%e .............0.0.0

%e ............2.1.0.2

%e ...........0.0.0.2.0

%e ..........0.1.1.0.0.0

%e .........0.0.1.0.1.0.0

%e ........2.1.0.0.1.1.0.2

%e .......0.0.0.2.0.0.0.2.0

%e ......0.1.1.0.0.1.1.0.0.0

%e .....0.0.1.0.1.0.1.0.1.0.0

%e ....2.1.0.0.1.1.0.0.1.1.0.2

%e ...0.0.0.2.0.0.0.2.0.0.0.2.0

%e ..0.2.0.0.0.2.0.0.0.2.0.0.0.1

%K nonn

%O 4,1

%A _R. H. Hardin_ Jan 04 2009