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

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Last modified August 4 22:06 EDT 2024. Contains 374934 sequences. (Running on oeis4.)