A205520 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the number of clockwise edge increases in every 2X2 subblock differing from each horizontal or vertical neighbor

81, 360, 360, 1683, 2412, 1683, 7572, 17166, 17166, 7572, 35577, 122232, 205803, 122232, 35577, 160218, 864948, 2343348, 2343348, 864948, 160218, 750426, 6127554, 27630789, 44160240, 27630789, 6127554, 750426, 3387924, 43434216, 312856410

Offset

1,1

Comments

Table starts

......81.......360........1683..........7572...........35577............160218

.....360......2412.......17166........122232..........864948...........6127554

....1683.....17166......205803.......2343348........27630789.........312856410

....7572....122232.....2343348......44160240.......825828828.......15535355076

...35577....864948....27630789.....825828828.....25618992453......764670893556

..160218...6127554...312856410...15535355076....764670893556....37886453633808

..750426..43434216..3703472454..291860355624..23817299324910..1873315597879056

.3387924.307791390.41913844878.5480789967924.709372088422890.92643820648532838

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

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

Crossrefs

Sequence in context: A236997 A236065 A206676 * A236990 A236058 A205513

Adjacent sequences: A205517 A205518 A205519 * A205521 A205522 A205523

Keyword

nonn,tabl

Author

R. H. Hardin Jan 28 2012

Status

approved