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%I #6 Apr 22 2021 13:51:25
%S 4,4,4,16,4,16,22,16,16,22,112,22,256,22,112,172,112,484,484,112,172,
%T 1064,172,12544,744,12544,172,1064,1742,1064,29584,25080,25080,29584,
%U 1064,1742,11664,1742,1132096,45000,6121472,45000,1132096,1742,11664
%N T(n,k) = Number of n X k 0..3 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 Table starts
%C ......4......4..........16........22............112.........172............1064
%C ......4......4..........16........22............112.........172............1064
%C .....16.....16.........256.......484..........12544.......29584.........1132096
%C .....22.....22.........484.......744..........25080.......45000.........2551604
%C ....112....112.......12544.....25080........6121472....16748672......9452644096
%C ....172....172.......29584.....45000.......16748672....32376064.....34078942048
%C ...1064...1064.....1132096...2551604.....9452644096.34078942048.449530294353728
%C ...1742...1742.....3034564...4923882....30528090112.73306891648
%C ..11664..11664...136048896.362643556.25629932950272
%C ..19976..19976...399040576.760921872
%C .138640.138640.19221049600
%C .243802.243802
%H R. H. Hardin, <a href="/A223824/b223824.txt">Table of n, a(n) for n = 1..97</a>
%e Some solutions for n=4, k=4
%e ..1..2..2..1....2..0..0..2....1..1..1..1....1..1..1..1....2..1..1..2
%e ..1..0..3..0....0..3..3..0....3..2..2..3....0..3..3..0....3..3..3..3
%e ..1..0..3..0....0..3..3..0....3..2..2..3....3..3..3..3....0..3..3..0
%e ..1..2..2..1....2..0..0..2....1..1..1..1....0..1..1..0....3..1..1..3
%Y Column 2 equals column 1.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 27 2013