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A183526 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.

%I A183526 #7 Jul 22 2025 09:04:08
%S A183526 1,3,3,5,9,5,7,31,31,7,13,95,101,95,13,23,309,543,543,309,23,37,911,
%T A183526 2233,3507,2233,911,37,63,2803,10003,27609,27609,10003,2803,63,109,
%U A183526 8673,47685,201833,371691,201833,47685,8673,109,183,26619,215451,1521573,4406933
%N A183526 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 A183526 Table starts
%C A183526 ...1.....3.......5........7........13.........23.........37........63
%C A183526 ...3.....9......31.......95.......309........911.......2803......8673
%C A183526 ...5....31.....101......543......2233......10003......47685....215451
%C A183526 ...7....95.....543.....3507.....27609.....201833....1521573..11678037
%C A183526 ..13...309....2233....27609....371691....4406933...56562977.728459961
%C A183526 ..23...911...10003...201833...4406933...89738569.1908431611
%C A183526 ..37..2803...47685..1521573..56562977.1908431611
%C A183526 ..63..8673..215451.11678037.728459961
%C A183526 .109.26619..994397.89238523
%C A183526 .183.81959.4603823
%H A183526 R. H. Hardin, <a href="/A183526/b183526.txt">Table of n, a(n) for n = 1..83</a>
%e A183526 Some solutions for 4X3
%e A183526 ..1..2..1....0..2..0....2..2..0....2..1..2....1..0..0....2..0..1....0..2..2
%e A183526 ..0..1..2....1..0..1....0..0..0....2..2..2....0..1..0....2..0..1....1..2..1
%e A183526 ..2..1..0....2..2..2....2..1..1....1..0..1....0..0..0....0..2..0....2..1..0
%e A183526 ..1..2..1....1..2..2....1..2..0....0..2..0....2..2..0....2..0..0....1..0..1
%Y A183526 Column 1 is A003229
%K A183526 nonn,tabl
%O A183526 1,2
%A A183526 _R. H. Hardin_ Jan 05 2011