A205255 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same

16, 40, 40, 112, 168, 112, 328, 752, 752, 328, 976, 3416, 5212, 3416, 976, 2920, 15568, 36304, 36304, 15568, 2920, 8752, 71000, 253072, 387328, 253072, 71000, 8752, 26248, 323856, 1764364, 4136296, 4136296, 1764364, 323856, 26248, 78736, 1477272

Offset

1,1

Comments

Table starts

....16......40......112........328..........976...........2920.............8752

....40.....168......752.......3416........15568..........71000...........323856

...112.....752.....5212......36304.......253072........1764364.........12301024

...328....3416....36304.....387328......4136296.......44183032........471988176

...976...15568...253072....4136296.....67731268.....1109832184......18189909484

..2920...71000..1764364...44183032...1109832184....27913330476.....702420750928

..8752..323856.12301024..471988176..18189909484...702420750928...27149753088796

.26248.1477272.85762192.5042151648.298154846440.17679917387408.1049837466171440

Links

R. H. Hardin, Table of n, a(n) for n = 1..420

Example

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

Crossrefs

Sequence in context: A185798 A253698 A185769 * A176869 A132161 A316562

Adjacent sequences: A205252 A205253 A205254 * A205256 A205257 A205258

Keyword

nonn,tabl

Author

R. H. Hardin Jan 24 2012

Status

approved