A204301 T(n,k)=Number of nXk 0..3 arrays with every element neighboring horizontally or vertically both a 0 and a 1, and 2 introduced before 3 in row major order

0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 16, 80, 16, 0, 0, 68, 160, 160, 68, 0, 0, 212, 2816, 5956, 2816, 212, 0, 0, 776, 19540, 56104, 56104, 19540, 776, 0, 0, 3076, 164112, 1972288, 6709692, 1972288, 164112, 3076, 0, 0, 11540, 1490212, 38262132, 277234340, 277234340

Offset

1,5

Comments

Table starts

.0....0.......0.........0............0...............0..................0

.0....4.......4........16...........68.............212................776

.0....4......80.......160.........2816...........19540.............164112

.0...16.....160......5956........56104.........1972288...........38262132

.0...68....2816.....56104......6709692.......277234340........17549848472

.0..212...19540...1972288....277234340.....47309058644......5589659640640

.0..776..164112..38262132..17549848472...5589659640640...2168622256129656

.0.3076.1490212.826746944.989144587700.870640738340900.749141388620048272

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

Some solutions for n=5 k=3
..2..0..1....0..0..2....0..0..0....1..1..1....0..0..0....1..0..1....0..1..1
..1..0..1....1..1..1....1..1..1....0..0..0....1..1..1....1..0..1....0..2..0
..1..3..0....1..0..0....2..1..0....1..0..1....0..0..1....1..1..1....1..1..0
..0..1..0....1..1..1....0..0..0....1..0..1....1..1..1....0..0..0....0..1..0
..0..1..0....0..0..0....1..1..1....1..0..0....0..0..0....2..1..1....0..1..3

Crossrefs

Sequence in context: A245198 A203285 A203542 * A204084 A096904 A308257

Adjacent sequences: A204298 A204299 A204300 * A204302 A204303 A204304

Keyword

nonn,tabl

Author

R. H. Hardin Jan 14 2012

Status

approved