A205909 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock the same

81, 369, 369, 1764, 2943, 1764, 8655, 24045, 24045, 8655, 43155, 201324, 327501, 201324, 43155, 218034, 1712907, 4541781, 4541781, 1712907, 218034, 1112664, 14747754, 63696738, 103275303, 63696738, 14747754, 1112664, 5722236, 128014116

Offset

1,1

Comments

Table starts

......81........369.........1764...........8655............43155

.....369.......2943........24045.........201324..........1712907

....1764......24045.......327501........4541781.........63696738

....8655.....201324......4541781......103275303.......2360853939

...43155....1712907.....63696738.....2360853939......87381878025

..218034...14747754....900968550....54239297565....3239997622134

.1112664..128014116..12813949461..1250218771158..120298113709833

.5722236.1117395426.182896937223.28878115209258.4471201485225354

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Example

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

Crossrefs

Column 1 is A205737

Sequence in context: A205736 A237850 A205917 * A237843 A205737 A236035

Adjacent sequences: A205906 A205907 A205908 * A205910 A205911 A205912

Keyword

nonn,tabl

Author

R. H. Hardin Feb 01 2012

Status

approved