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A223747 T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.

%I A223747 #6 Jul 23 2025 04:27:29
%S A223747 3,3,3,9,3,9,9,9,9,9,39,9,81,9,39,43,39,81,81,39,43,195,43,1521,81,
%T A223747 1521,43,195,243,195,1849,1521,1521,1849,195,243,1209,243,38025,1849,
%U A223747 144495,1849,38025,243,1209,1539,1209,59049,38025,162583,162583,38025,59049
%N A223747 T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope.
%C A223747 Table starts
%C A223747 .....3.....3........9.......9.........39.......43.........195......243
%C A223747 .....3.....3........9.......9.........39.......43.........195......243
%C A223747 .....9.....9.......81......81.......1521.....1849.......38025....59049
%C A223747 .....9.....9.......81......81.......1521.....1849.......38025....59049
%C A223747 ....39....39.....1521....1521.....144495...162583....21793395.30730023
%C A223747 ....43....43.....1849....1849.....162583...169219....22836827.28688507
%C A223747 ...195...195....38025...38025...21793395.22836827.26606105175
%C A223747 ...243...243....59049...59049...30730023.28688507
%C A223747 ..1209..1209..1461681.1461681.6934356117
%C A223747 ..1539..1539..2368521.2368521
%C A223747 ..8007..8007.64112049
%C A223747 .10557.10557
%H A223747 R. H. Hardin, <a href="/A223747/b223747.txt">Table of n, a(n) for n = 1..97</a>
%e A223747 Some solutions for n=3 k=4
%e A223747 ..0..0..0..0....1..0..0..1....0..0..0..0....2..2..2..2....2..2..2..2
%e A223747 ..1..1..1..1....0..2..2..0....1..2..2..1....2..1..1..2....2..0..0..2
%e A223747 ..0..0..0..0....1..0..0..1....0..0..0..0....2..2..2..2....2..2..2..2
%Y A223747 Column 2 equals column 1 and column 4 equals column 3
%K A223747 nonn,tabl
%O A223747 1,1
%A A223747 _R. H. Hardin_ Mar 27 2013