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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.

%I A223592 #6 Jun 22 2022 11:54:35
%S A223592 2,4,4,8,6,8,16,10,10,16,32,18,32,18,32,64,34,44,44,34,64,128,66,192,
%T A223592 56,192,66,128,256,130,296,212,212,296,130,256,512,258,1744,316,1664,
%U A223592 316,1744,258,512,1024,514,2838,1788,2008,2008,1788,2838,514,1024,2048,1026
%N 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.
%C A223592 Table starts
%C A223592 ....2....4......8.....16.......32.......64........128........256........512
%C A223592 ....4....6.....10.....18.......34.......66........130........258........514
%C A223592 ....8...10.....32.....44......192......296.......1744.......2838......18736
%C A223592 ...16...18.....44.....56......212......316.......1788.......2878......18844
%C A223592 ...32...34....192....212.....1664.....2008......30512......38758.....812928
%C A223592 ...64...66....296....316.....2008.....2352......31192......39542.....804584
%C A223592 ..128..130...1744...1788....30512....31192....1123232.....998326...70377392
%C A223592 ..256..258...2838...2878....38758....39542.....998326.....929038...50098958
%C A223592 ..512..514..18736..18844...812928...804584...70377392...50098958.9405893184
%C A223592 .1024.1026..32016..32116..1167112..1161184...67719592...52979558.6185200888
%C A223592 .2048.2050.221344.221652.27692576.27446296.7247150528.4583585270
%C A223592 .4096.4098.388830.389110.42393166.42224950.7292561038
%H A223592 R. H. Hardin, <a href="/A223592/b223592.txt">Table of n, a(n) for n = 1..179</a>
%e A223592 Some solutions for n=3, k=4
%e A223592 ..1..0..1..1....0..0..0..0....0..0..0..0....1..0..0..1....1..1..0..1
%e A223592 ..0..0..1..0....1..1..1..1....0..1..1..0....0..0..0..0....1..1..0..1
%e A223592 ..1..0..1..1....1..1..1..1....0..0..0..0....1..0..0..1....1..1..0..1
%Y A223592 Column 1 is A000079.
%Y A223592 Column 2 is A052548.
%K A223592 nonn,tabl
%O A223592 1,1
%A A223592 _R. H. Hardin_, Mar 22 2013