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A183397 T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its knight-move neighbors 6
1, 2, 2, 4, 8, 4, 8, 8, 8, 8, 16, 8, 46, 8, 16, 32, 8, 69, 69, 8, 32, 64, 8, 227, 156, 227, 8, 64, 128, 32, 794, 451, 451, 794, 32, 128, 256, 128, 2701, 2595, 2145, 2595, 2701, 128, 256, 512, 288, 9816, 12150, 17689, 17689, 12150, 9816, 288, 512, 1024, 648, 34649, 58407 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same solutions for no element unequal to a strict majority of its neighbors, via xor with a 0101... checkerboard pattern

Table starts

...1...2......4.......8......16.......32.......64......128.......256......512

...2...8......8.......8.......8........8.......32......128.......288......648

...4...8.....46......69.....227......794.....2701.....9816.....34649...120536

...8...8.....69.....156.....451.....2595....12150....58407....280852..1405171

..16...8....227.....451....2145....17689...115241...776298...5449079.38642644

..32...8....794....2595...17689...233505..2051732.19639561.204306894

..64..32...2701...12150..115241..2051732.25401329

.128.128...9816...58407..776298.19639561

.256.288..34649..280852.5449079

.512.648.120536.1405171

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..97

EXAMPLE

Some solutions with a(1,1)=0 for 6X5

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

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

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

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

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

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

CROSSREFS

Sequence in context: A045777 A136534 A121175 * A339490 A281469 A302623

Adjacent sequences:  A183394 A183395 A183396 * A183398 A183399 A183400

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved

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Last modified September 20 05:24 EDT 2021. Contains 347577 sequences. (Running on oeis4.)