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%I #4 Mar 10 2013 10:30:47
%S 2,2,2,4,2,4,4,4,4,4,8,4,16,4,8,8,8,16,16,8,8,20,8,64,16,64,8,20,18,
%T 20,64,64,64,64,20,18,52,18,400,64,512,64,400,18,52,48,52,324,400,512,
%U 512,400,324,52,48,152,48,2704,324,8000,512,8000,324,2704,48,152,138,152
%N T(n,k)=Number of nXk 0..1 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 ...2...2.....4.....4.......8.......8.........20........18...........52
%C ...2...2.....4.....4.......8.......8.........20........18...........52
%C ...4...4....16....16......64......64........400.......324.........2704
%C ...4...4....16....16......64......64........400.......324.........2704
%C ...8...8....64....64.....512.....512.......8000......5832.......140608
%C ...8...8....64....64.....512.....512.......8000......5832.......140608
%C ..20..20...400...400....8000....8000.....323600....215892.....14843920
%C ..18..18...324...324....5832....5832.....215892....144930......9546228
%C ..52..52..2704..2704..140608..140608...14843920...9546228...1808243216
%C ..48..48..2304..2304..110592..110592....9734400...6503472...1052045568
%C .152.152.23104.23104.3511808.3511808.1138729280.685380312.407454282560
%C .138.138.19044.19044.2628072.2628072..631004724.419107674
%H R. H. Hardin, <a href="/A222959/b222959.txt">Table of n, a(n) for n = 1..199</a>
%e Some solutions for n=4 k=4
%e ..0..0..0..0....0..0..0..0....1..1..1..1....1..1..1..1....0..1..1..0
%e ..0..1..1..0....1..1..1..1....0..1..1..0....1..1..1..1....1..1..1..1
%e ..0..1..1..0....1..1..1..1....0..1..1..0....1..1..1..1....1..1..1..1
%e ..0..0..0..0....0..0..0..0....1..1..1..1....1..1..1..1....0..1..1..0
%Y Column 2 is A222955, column 4 is A222956, column 6 is A222957
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Mar 10 2013