A154048 - OEIS

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

%S 2,6,3,5,1,6,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,

%T 1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1,2,1,4,1

%N Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 4 X 4 X 4 subtriangle summing to 5.

%C Pattern 1 4 1 2 starts at n=10 and continues through at least n=60.

%e Maximal zeros solution for n=10

%e ...........1

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

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

%e ........0.1.1.0

%e .......1.0.1.0.1

%e ......1.1.0.0.1.1

%e .....0.0.0.2.0.0.0

%e ....0.1.1.0.0.1.1.0

%e ...1.0.1.0.1.0.1.0.1

%e ..1.1.0.0.1.1.0.0.1.1

%K nonn

%O 4,1

%A _R. H. Hardin_ Jan 04 2009