A183526 - OEIS

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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

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

(list; table; graph; refs; listen; history; text; internal format)

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

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

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

Adjacent sequences: A183523 A183524 A183525 * A183527 A183528 A183529

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 05 2011

STATUS

approved