A183483 T(n,k)=Number of nXk 0..2 arrays with every element equal to either the sum mod 3 of its vertical neighbors or the sum mod 3 of its horizontal neighbors.

1, 3, 3, 5, 15, 5, 7, 39, 39, 7, 13, 135, 117, 135, 13, 23, 495, 587, 587, 495, 23, 37, 1647, 2925, 4015, 2925, 1647, 37, 63, 5751, 12131, 40073, 40073, 12131, 5751, 63, 109, 20223, 58333, 270549, 706473, 270549, 58333, 20223, 109, 183, 70119, 270611

Offset: 1

Author

R. H. Hardin Jan 05 2011

Keywords

• nonn
• tabl

Comments

Table starts

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

...3.....15......39.......135.........495........1647........5751.......20223

...5.....39.....117.......587........2925.......12131.......58333......270611

...7....135.....587......4015.......40073......270549.....1942323....15984991

..13....495....2925.....40073......706473.....7773025...107741253..1577932971

..23...1647...12131....270549.....7773025...116198719..2519745049.56697667073

..37...5751...58333...1942323...107741253..2519745049.84056287173

..63..20223..270611..15984991..1577932971.56697667073

.109..70119.1220877.119888365.20728674493

.183.244863.5724163.894632985

Examples

			Some solutions for 5X4
..2..2..0..0....0..0..2..2....1..1..0..0....0..0..0..0....1..2..1..2
..0..0..0..0....2..0..1..1....0..0..0..0....1..2..1..2....1..1..0..2
..2..0..1..0....2..0..2..2....2..0..0..0....1..1..1..2....0..0..0..0
..2..0..1..0....0..0..0..0....2..0..1..1....2..2..0..0....1..0..1..2
..0..0..0..0....0..0..2..2....0..0..0..0....2..2..2..0....1..0..1..2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Crossrefs

Column 1 is A003229