A205736 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.

81, 369, 360, 1764, 978, 1683, 8655, 3888, 3318, 7572, 43155, 17532, 14715, 9198, 35577, 218034, 80916, 80088, 39450, 34674, 160218, 1112664, 376314, 450339, 223560, 191766, 97380, 750426, 5722236, 1756446, 2565900, 1302228, 1421976

Offset

1,1

Comments

Table starts

......81.....369....1764.....8655.....43155......218034......1112664

.....360.....978....3888....17532.....80916......376314......1756446

....1683....3318...14715....80088....450339.....2565900.....14781282

....7572....9198...39450...223560...1302228.....7713324.....46226928

...35577...34674..191766..1421976..10821462....84974904....677890656

..160218...97380..526680..4116576..33070572...276139080...2333010360

..750426..370008.2500875.25898472.272838012..3069752670..34742828298

.3387924.1053624.6985128.76594212.848995332.10194154164.121870318920

Links

R. H. Hardin, Table of n, a(n) for n = 1..286

Example

Some solutions for n=4, k=3:
..2..1..0..2....0..1..2..1....1..2..2..0....0..1..1..0....2..1..1..1
..1..2..1..0....2..0..1..0....2..1..0..2....1..0..2..1....2..2..2..2
..1..1..1..1....2..0..1..0....2..2..2..2....1..1..1..1....2..2..2..2
..1..1..1..1....1..2..0..2....2..2..2..2....1..1..1..1....2..0..1..2
..2..2..0..0....1..2..2..2....1..1..2..1....1..2..2..2....1..2..2..1

Crossrefs

Column 1 is A205513.

Sequence in context: A236058 A205513 A017378 * A237850 A205917 A205909

Adjacent sequences: A205733 A205734 A205735 * A205737 A205738 A205739

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 30 2012

Status

approved