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.

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

Offset: 1

Author

R. H. Hardin Feb 23 2013

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 2 is A222284

Row 1 is A222283