A222328 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order

1, 0, 0, 0, 0, 0, 3, 0, 0, 3, 4, 7, 4, 7, 4, 4, 0, 19, 19, 0, 4, 5, 32, 0, 52, 0, 32, 5, 20, 0, 84, 165, 165, 84, 0, 20, 27, 168, 212, 835, 674, 835, 212, 168, 27, 48, 0, 1366, 3307, 3770, 3770, 3307, 1366, 0, 48, 63, 948, 1302, 14419, 15100, 38238, 15100, 14419, 1302, 948

Offset

1,7

Comments

Table starts

...1....0......0.......3.........4...........4............5.............20

...0....0......0.......7.........0..........32............0............168

...0....0......4......19.........0..........84..........212...........1366

...3....7.....19......52.......165.........835.........3307..........14419

...4....0......0.....165.......674........3770........15100.........172590

...4...32.....84.....835......3770.......38238.......255304........2542901

...5....0....212....3307.....15100......255304......2284728.......37484794

..20..168...1366...14419....172590.....2542901.....37484794......620488671

..27....0...1302...66213....759758....20957580....318665044....10589084713

..48..948..11152..302731...6657106...204487984...5848569858...186293287066

..63....0..21206.1350601..30994294..1778907664..53774145449..3354992092851

.175.5279.132937.6283864.298933498.17205177010.993959061317.61359735913289

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

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

Crossrefs

Column 1 is A222283

Sequence in context: A111787 A200524 A308223 * A222402 A222522 A091921

Adjacent sequences: A222325 A222326 A222327 * A222329 A222330 A222331

Keyword

nonn,tabl

Author

R. H. Hardin Feb 15 2013

Status

approved