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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.
7
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
1,1
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is A000079.
Column 2 is A052548.
Sequence in context: A355467 A079890 A337973 * A180444 A065608 A184396
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 22 2013
STATUS
approved