%I #5 Mar 31 2012 12:35:52

%S 1,3,3,5,9,5,7,31,31,7,13,95,101,95,13,23,309,543,543,309,23,37,911,

%T 2233,3507,2233,911,37,63,2803,10003,27609,27609,10003,2803,63,109,

%U 8673,47685,201833,371691,201833,47685,8673,109,183,26619,215451,1521573,4406933

%N T(n,k)=Number of nXk 0..2 arrays with each element equal to either the sum mod 3 of its horizontal and vertical neighbors or the sum mod 3 of its diagonal and antidiagonal neighbors

%C Table starts

%C ...1.....3.......5........7........13.........23.........37........63

%C ...3.....9......31.......95.......309........911.......2803......8673

%C ...5....31.....101......543......2233......10003......47685....215451

%C ...7....95.....543.....3507.....27609.....201833....1521573..11678037

%C ..13...309....2233....27609....371691....4406933...56562977.728459961

%C ..23...911...10003...201833...4406933...89738569.1908431611

%C ..37..2803...47685..1521573..56562977.1908431611

%C ..63..8673..215451.11678037.728459961

%C .109.26619..994397.89238523

%C .183.81959.4603823

%H R. H. Hardin, <a href="/A183526/b183526.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for 4X3

%e ..1..2..1....0..2..0....2..2..0....2..1..2....1..0..0....2..0..1....0..2..2

%e ..0..1..2....1..0..1....0..0..0....2..2..2....0..1..0....2..0..1....1..2..1

%e ..2..1..0....2..2..2....2..1..1....1..0..1....0..0..0....0..2..0....2..1..0

%e ..1..2..1....1..2..2....1..2..0....0..2..0....2..2..0....2..0..0....1..0..1

%Y Column 1 is A003229

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 05 2011