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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
9
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
1,2
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A003229
Sequence in context: A303714 A098353 A073060 * A337562 A087343 A079586
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 05 2011
STATUS
approved