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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified February 17 12:14 EST 2020. Contains 331996 sequences. (Running on oeis4.)