A223592 T(n,k) = Number of n X k 0..1 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope.

2, 4, 4, 8, 6, 8, 16, 10, 10, 16, 32, 18, 32, 18, 32, 64, 34, 44, 44, 34, 64, 128, 66, 192, 56, 192, 66, 128, 256, 130, 296, 212, 212, 296, 130, 256, 512, 258, 1744, 316, 1664, 316, 1744, 258, 512, 1024, 514, 2838, 1788, 2008, 2008, 1788, 2838, 514, 1024, 2048, 1026

Offset: 1

Author

R. H. Hardin, Mar 22 2013

Keywords

• nonn
• tabl

Comments

Table starts

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

....4....6.....10.....18.......34.......66........130........258........514

....8...10.....32.....44......192......296.......1744.......2838......18736

...16...18.....44.....56......212......316.......1788.......2878......18844

...32...34....192....212.....1664.....2008......30512......38758.....812928

...64...66....296....316.....2008.....2352......31192......39542.....804584

..128..130...1744...1788....30512....31192....1123232.....998326...70377392

..256..258...2838...2878....38758....39542.....998326.....929038...50098958

..512..514..18736..18844...812928...804584...70377392...50098958.9405893184

.1024.1026..32016..32116..1167112..1161184...67719592...52979558.6185200888

.2048.2050.221344.221652.27692576.27446296.7247150528.4583585270

.4096.4098.388830.389110.42393166.42224950.7292561038

Examples

			Some solutions for n=3, k=4
..1..0..1..1....0..0..0..0....0..0..0..0....1..0..0..1....1..1..0..1
..0..0..1..0....1..1..1..1....0..1..1..0....0..0..0..0....1..1..0..1
..1..0..1..1....1..1..1..1....0..0..0..0....1..0..0..1....1..1..0..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..179

Crossrefs

Column 1 is A000079.

Column 2 is A052548.