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%I #4 Mar 11 2013 16:28:55
%S 3,9,9,27,19,27,81,45,45,81,243,115,309,115,243,729,309,739,739,309,
%T 729,2187,859,8355,1365,8355,859,2187,6561,2445,25953,13997,13997,
%U 25953,2445,6561,19683,7075,347991,35571,878487,35571,347991,7075,19683,59049,20709
%N T(n,k)=Number of nXk 0..2 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 Table starts
%C ......3......9.......27.......81.......243.......729......2187......6561
%C ......9.....19.......45......115.......309.......859......2445......7075
%C .....27.....45......309......739......8355.....25953....347991...1229117
%C .....81....115......739.....1365.....13997.....35571....468409...1445055
%C ....243....309.....8355....13997....878487...2091169.212538795.603347801
%C ....729....859....25953....35571...2091169...3659139.405114337
%C ...2187...2445...347991...468409.212538795.405114337
%C ...6561...7075..1229117..1445055.603347801
%C ..19683..20709.18018549.21226859
%C ..59049..61099.67909529
%C .177147.181245
%C .531441
%H R. H. Hardin, <a href="/A223022/b223022.txt">Table of n, a(n) for n = 1..83</a>
%e Some solutions for n=3 k=4
%e ..1..0..0..1....1..1..1..1....0..1..2..0....1..1..2..1....2..2..1..1
%e ..0..0..0..0....0..2..2..0....0..2..0..1....1..0..1..1....1..1..0..0
%e ..2..1..1..2....0..0..0..0....0..1..2..0....0..0..1..0....2..2..1..1
%Y Column 1 is A000244
%Y Column 2 is A183624(n-1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 11 2013
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