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

Author

R. H. Hardin Feb 15 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A222283