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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
9
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 05 2011
STATUS
approved