%I #3 Mar 31 2012 12:35:49
%S 1,1,1,0,1,1,0,1,2,1,0,0,1,2,1,0,0,1,2,3,1,0,0,0,1,3,3,1,0,0,0,1,3,5,
%T 4,1,0,0,0,0,1,5,6,4,1,0,0,0,0,1,3,8,8,5,1,0,0,0,0,0,1,6,12,10,5,1,0,
%U 0,0,0,0,1,4,12,18,13,6,1,0,0,0,0,0,0,1,8,20,24,15,6,1,0,0,0,0,0,0,1,4,18,32,33
%N T(n,k)=number of nXk binary matrices with floor((n*k)/2) 1's and rows in lexicographically nonincreasing order and columns in lexicographically strictly increasing order
%C Table starts
%C .1.1..0..0...0...0...0...0...0...0..0..0.0.0
%C .1.1..1..0...0...0...0...0...0...0..0..0.0.0
%C .1.2..1..1...0...0...0...0...0...0..0..0.0.0
%C .1.2..2..1...1...0...0...0...0...0..0..0.0.0
%C .1.3..3..3...1...1...0...0...0...0..0..0.0.0
%C .1.3..5..5...3...1...1...0...0...0..0..0.0.0
%C .1.4..6..8...6...4...1...1...0...0..0..0.0.0
%C .1.4..8.12..12...8...4...1...1...0..0..0.0.0
%C .1.5.10.18..20..18..10...5...1...1..0..0.0.0
%C .1.5.13.24..32..32..24..13...5...1..1..0.0.0
%C .1.6.15.33..49..58..49..33..15...6..1..1.0.0
%C .1.6.18.43..73..94..94..73..43..18..6..1.1.0
%C .1.7.21.55.102.151.169.151.102..55.21..7.1.1
%C .1.7.25.69.141.227.289.289.227.141.69.25.7.1
%H R. H. Hardin, <a href="/A180981/b180981.txt">Table of n, a(n) for n=1..365</a>
%e All solutions for 6X3
%e ..0..1..1....0..1..1....1..1..1....1..1..1....1..1..1
%e ..0..1..1....0..1..1....0..1..1....0..1..1....1..1..1
%e ..0..1..1....0..1..1....0..0..1....0..1..1....0..1..1
%e ..0..0..1....0..1..1....0..0..1....0..0..1....0..0..1
%e ..0..0..1....0..0..1....0..0..1....0..0..1....0..0..0
%e ..0..0..1....0..0..0....0..0..1....0..0..0....0..0..0
%K nonn,tabl
%O 1,9
%A _R. H. Hardin_ Sep 30 2010
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