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A222509 T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order 12
1, 0, 0, 0, 0, 0, 3, 4, 4, 0, 4, 3, 4, 11, 0, 4, 10, 15, 35, 8, 0, 5, 32, 35, 84, 87, 44, 0, 20, 44, 170, 423, 497, 496, 144, 0, 27, 176, 441, 1753, 2066, 2862, 1335, 352, 0, 48, 326, 2192, 8489, 17674, 23678, 15420, 7552, 692, 0, 63, 888, 5416, 39873, 81537, 195968, 128889 (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.......4........3.........10..........32...........44..........176

.0.....4.......4.......15.........35.........170..........441.........2192

.0....11......35.......84........423........1753.........8489........39873

.0.....8......87......497.......2066.......17674........81537.......800040

.0....44.....496.....2862......23678......195968......1802656.....17117005

.0...144....1335....15420.....128889.....2220730.....19892241....385142640

.0...352....7552....86570....1529195....25587208....473772613...8962277166

.0...692...21382...484976....8569032...297738400...5455705052.212898244002

.0..2488..122942..2751326..102004630..3488244716.132847734428

.0..6476..348597.15597305..577797690.41065342664

.0.17095.2045395.89022483.6918500106

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..145

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 2 is A222284

Row 1 is A222283

Sequence in context: A213201 A245843 A188729 * A222488 A222500 A177935

Adjacent sequences:  A222506 A222507 A222508 * A222510 A222511 A222512

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 23 2013

STATUS

approved

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Last modified October 27 10:31 EDT 2021. Contains 348274 sequences. (Running on oeis4.)