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.

1, 3, 3, 5, 9, 5, 7, 31, 31, 7, 13, 95, 101, 95, 13, 23, 309, 543, 543, 309, 23, 37, 911, 2233, 3507, 2233, 911, 37, 63, 2803, 10003, 27609, 27609, 10003, 2803, 63, 109, 8673, 47685, 201833, 371691, 201833, 47685, 8673, 109, 183, 26619, 215451, 1521573, 4406933

Offset: 1

Author

R. H. Hardin Jan 05 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

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

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

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

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

..23...911...10003...201833...4406933...89738569.1908431611

..37..2803...47685..1521573..56562977.1908431611

..63..8673..215451.11678037.728459961

.109.26619..994397.89238523

.183.81959.4603823

Examples

			Some solutions for 4X3
..1..2..1....0..2..0....2..2..0....2..1..2....1..0..0....2..0..1....0..2..2
..0..1..2....1..0..1....0..0..0....2..2..2....0..1..0....2..0..1....1..2..1
..2..1..0....2..2..2....2..1..1....1..0..1....0..0..0....0..2..0....2..1..0
..1..2..1....1..2..2....1..2..0....0..2..0....2..2..0....2..0..0....1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..83

Crossrefs

Column 1 is A003229