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A222360 T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..1 order 9
1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 5, 8, 5, 8, 5, 10, 9, 24, 24, 9, 10, 12, 42, 27, 73, 27, 42, 12, 34, 48, 176, 268, 268, 176, 48, 34, 43, 222, 404, 1315, 1054, 1315, 404, 222, 43, 101, 255, 2180, 5381, 7870, 7870, 5381, 2180, 255, 101, 127, 1237, 3751, 25239, 32456, 67171 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...1....1......1........4.........5..........10............12..............34

...1....1......1........8.........9..........42............48.............222

...1....1......5.......24........27.........176...........404............2180

...4....8.....24.......73.......268........1315..........5381...........25239

...5....9.....27......268......1054........7870.........32456..........324520

..10...42....176.....1315......7870.......67171........521808.........4792786

..12...48....404.....5381.....32456......521808.......4355033........73441550

..34..222...2180....25239....324520.....4792786......73441550......1211912419

..43..255...3751...113538...1448518....41877926.....636658142.....20792838201

.101.1237..21261...533356..13349337...391239171...11579446170....366814429936

.127.1435..44985..2402550..61168861..3537643712..105585657325...6611812189851

.331.6923.238441.11364630.582447092.33270643320.1957901435989.120877618591030

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..0....0..0..0..1....0..1..0..0....0..0..0..1

..0..0..0..0....1..0..0..0....0..0..0..0....1..1..1..1....0..0..0..1

..0..0..0..0....0..0..0..0....0..0..0..0....1..1..1..1....0..0..0..0

..0..1..0..0....1..0..0..0....0..0..0..1....1..1..1..1....0..0..0..0

CROSSREFS

Sequence in context: A176263 A110812 A151904 * A222371 A222479 A285788

Adjacent sequences:  A222357 A222358 A222359 * A222361 A222362 A222363

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 16 2013

STATUS

approved

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Last modified February 20 10:56 EST 2018. Contains 299385 sequences. (Running on oeis4.)