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A222953 T(n,k)=Number of nXk 0..3 arrays with no adjacent rows or columns having the same least squares slope fit to a straight line, with a single point array taken as having zero slope.

%I A222953 #6 Jul 23 2025 03:18:42
%S A222953 4,0,0,0,212,0,0,2256,2256,0,0,36302,125664,36302,0,0,455904,8579208,
%T A222953 8579208,455904,0,0,6471572,436075392,3084748094,436075392,6471572,0,
%U A222953 0,84040156,25670781880,690124074740,690124074740,25670781880,84040156,0,0
%N A222953 T(n,k)=Number of nXk 0..3 arrays with no adjacent rows or columns having the same least squares slope fit to a straight line, with a single point array taken as having zero slope.
%C A222953 Table starts
%C A222953 .4..........0.............0...............0...............0...............0
%C A222953 .0........212..........2256...........36302..........455904.........6471572
%C A222953 .0.......2256........125664.........8579208.......436075392.....25670781880
%C A222953 .0......36302.......8579208......3084748094....690124074740.194406198823968
%C A222953 .0.....455904.....436075392....690124074740.593420786763904
%C A222953 .0....6471572...25670781880.194406198823968
%C A222953 .0...84040156.1318401732192
%C A222953 .0.1156716696
%H A222953 R. H. Hardin, <a href="/A222953/b222953.txt">Table of n, a(n) for n = 1..49</a>
%e A222953 Some solutions for n=3 k=4
%e A222953 ..2..0..0..0....0..2..0..1....2..0..0..0....1..0..2..1....0..2..2..1
%e A222953 ..1..2..0..2....0..0..0..3....2..0..0..2....1..0..2..2....3..2..2..2
%e A222953 ..1..0..2..0....2..2..2..1....2..2..0..2....2..2..2..2....0..0..2..0
%K A222953 nonn,tabl
%O A222953 1,1
%A A222953 _R. H. Hardin_ Mar 10 2013