A154082 - OEIS

A154082

Number of planar triangular n X n X n nonnegative integer grids symmetric both under 120 degree rotation and reflection with every similarly oriented 5 X 5 X 5 subtriangle summing to 10.

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

%S 0,25,47,0,15,26,0,5,12,0,1,14,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,

%T 10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0,0,10,0

%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 5 X 5 X 5 subtriangle summing to 10.

%C Pattern 0 0 10 starts at n=17 and continues through at least n=53.

%e Maximal zeros solution for n=19

%e ....................2

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

%e ..................0.2.0

%e .................2.0.0.2

%e ................0.0.2.0.0

%e ...............0.2.0.0.2.0

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

%e .............0.0.2.0.0.2.0.0

%e ............0.2.0.0.2.0.0.2.0

%e ...........2.0.0.2.0.0.2.0.0.2

%e ..........0.0.2.0.0.2.0.0.2.0.0

%e .........0.2.0.0.2.0.0.2.0.0.2.0

%e ........2.0.0.2.0.0.2.0.0.2.0.0.2

%e .......0.0.2.0.0.2.0.0.2.0.0.2.0.0

%e ......0.2.0.0.2.0.0.2.0.0.2.0.0.2.0

%e .....2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2

%e ....0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0

%e ...0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0

%e ..2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2.0.0.2

%K nonn

%O 5,2

%A _R. H. Hardin_ Jan 04 2009