A222918 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 6, 0, 6, 18, 18, 6, 16, 136, 160, 136, 16, 16, 654, 2952, 2952, 654, 16, 40, 3972, 17518, 62336, 17518, 3972, 40, 280, 21778, 356398, 1309863, 1309863, 356398, 21778, 280, 768, 127226, 2118905, 27663713, 26742406, 27663713, 2118905, 127226, 768

Offset

1,5

Comments

Table starts

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

.....0........6.........18..........136...........654...........3972

.....0.......18........160.........2952.........17518.........356398

.....6......136.......2952........62336.......1309863.......27663713

....16......654......17518......1309863......26742406.....2133576918

....16.....3972.....356398.....27663713....2133576918...165904381397

....40....21778....2118905....590514107...43875762623.13105585711754

...280...127226...44960137..12759661261.3643286829221

...768...727214..272872198.278866376604

..1440..4237154.5911110630

..3808.24617576

.16352

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Column 1 is A222884

Sequence in context: A341483 A223033 A237444 * A280480 A223104 A222722

Adjacent sequences: A222915 A222916 A222917 * A222919 A222920 A222921

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2013

Status

approved