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

1,2

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

Links

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

Example

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

Crossrefs

Column 1 is A003229

Sequence in context: A226921 A133190 A052898 * A218663 A095355 A336130

Adjacent sequences: A183480 A183481 A183482 * A183484 A183485 A183486

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2011

Status

approved