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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.
15
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 30 2012
STATUS
approved