A205226 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order

8, 20, 20, 52, 52, 52, 132, 132, 132, 132, 340, 340, 328, 340, 340, 868, 868, 824, 824, 868, 868, 2228, 2228, 2072, 2144, 2072, 2228, 2228, 5700, 5700, 5176, 5424, 5424, 5176, 5700, 5700, 14612, 14612, 13032, 14072, 14220, 14072, 13032, 14612, 14612

Offset

1,1

Comments

Table starts

....8....20....52...132....340....868....2228....5700....14612....37412

...20....52...132...340....868...2228....5700...14612....37412....95860

...52...132...328...824...2072...5176...13032...32488....81816...203864

..132...340...824..2144...5424..14072...35928...92736...237864...612368

..340...868..2072..5424..14220..37308...98924..258612...690332..1801140

..868..2228..5176.14072..37308.104404..283148..789060..2163684..6011124

.2228..5700.13032.35928..98924.283148..811604.2316508..6722572.19126684

.5700.14612.32488.92736.258612.789060.2316508.7103748.21194932.64762620

Links

R. H. Hardin, Table of n, a(n) for n = 1..337

Example

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

Crossrefs

Sequence in context: A302241 A022700 A214457 * A205318 A100212 A349168

Adjacent sequences: A205223 A205224 A205225 * A205227 A205228 A205229

Keyword

nonn,tabl

Author

R. H. Hardin Jan 23 2012

Status

approved