A222889 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 4, 0, 6, 22, 22, 6, 16, 184, 380, 184, 16, 16, 1222, 8986, 8986, 1222, 16, 40, 9918, 138026, 465938, 138026, 9918, 40, 280, 73038, 3581166, 24893100, 24893100, 3581166, 73038, 280, 768, 571736, 57340458, 1351294947, 2737507523, 1351294947

Offset

1,5

Comments

Table starts

....1........0...........0.............6.............16..............16

....0........4..........22...........184...........1222............9918

....0.......22.........380..........8986.........138026.........3581166

....6......184........8986........465938.......24893100......1351294947

...16.....1222......138026......24893100.....2737507523....518031070610

...16.....9918.....3581166....1351294947...518031070610.201317962199862

...40....73038....57340458...74202775749.57938967907855

..280...571736..1518623878.4110642829357

..768..4390202.24604366312

.1440.34351802

.3808

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

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

Crossrefs

Sequence in context: A194193 A265644 A296230 * A223114 A222832 A279871

Adjacent sequences: A222886 A222887 A222888 * A222890 A222891 A222892

Keyword

nonn,tabl

Author

R. H. Hardin Mar 08 2013

Status

approved