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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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Feb 23 2013
STATUS
approved

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Last modified April 23 00:33 EDT 2024. Contains 371906 sequences. (Running on oeis4.)