A154059 - OEIS

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

%S 5005,42379,161481,327971,465436,588412,315265,126740,40993,9833,4891,

%T 3523,2084,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,

%U 2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080,2080

%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 6.

%C Value 2080 starts at n=17 and continues through at least n=50.

%e Maximal zeros solution for n=17

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

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

%e ................0.0.3

%e ...............0.3.0.0

%e ..............3.0.0.0.0

%e .............0.0.0.0.3.0

%e ............0.0.0.3.0.0.0

%e ...........0.0.3.0.0.0.0.3

%e ..........0.3.0.0.0.0.3.0.0

%e .........3.0.0.0.0.3.0.0.0.0

%e ........0.0.0.0.3.0.0.0.0.3.0

%e .......0.0.0.3.0.0.0.0.3.0.0.0

%e ......0.0.3.0.0.0.0.3.0.0.0.0.3

%e .....0.3.0.0.0.0.3.0.0.0.0.3.0.0

%e ....3.0.0.0.0.3.0.0.0.0.3.0.0.0.0

%e ...0.0.0.0.3.0.0.0.0.3.0.0.0.0.3.0

%e ..0.0.0.3.0.0.0.0.3.0.0.0.0.3.0.0.0

%K nonn

%O 4,1

%A _R. H. Hardin_ Jan 04 2009