%I #3 Mar 31 2012 12:35:49
%S 1,1,1,0,1,0,0,1,1,0,0,1,5,1,0,0,0,8,8,0,0,0,0,9,50,9,0,0,0,0,6,181,
%T 181,6,0,0,0,0,3,438,1823,438,3,0,0,0,0,1,775,11700,11700,775,1,0,0,0,
%U 0,0,1039,58090,189359,58090,1039,0,0,0,0,0,0,1084,218120,2218249,2218249
%N T(n,k)=number of nXk binary matrices with floor((n*k)/2) 1's and rows and columns in lexicographically strictly increasing order
%C Table starts
%C .1.1.0....0.......0..........0............0..............0.................0
%C .1.1.1....1.......0..........0............0..............0.................0
%C .0.1.5....8.......9..........6............3..............1.................0
%C .0.1.8...50.....181........438..........775...........1039..............1084
%C .0.0.9..181....1823......11700........58090.........218120............707425
%C .0.0.6..438...11700.....189359......2218249.......20523612.........157471741
%C .0.0.3..775...58090....2218249.....61746973.....1247701323.......22218184979
%C .0.0.1.1039..218120...20523612...1247701323....57086318681.....2123810796163
%C .0.0.0.1084..707425..157471741..22218184979..2123810796163...174484293356777
%C .0.0.0..887.1835737.1032413434.315303186865.67142312629555.11201887329999615
%H R. H. Hardin, <a href="/A180977/b180977.txt">Table of n, a(n) for n=1..220</a>
%e All solutions for 3X4
%e ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..1..1....0..0..1..1
%e ..0..0..1..1....0..1..1..0....0..1..1..1....0..1..0..1....0..1..0..1
%e ..0..1..1..1....1..0..1..1....1..0..1..0....0..1..1..0....1..0..1..0
%e ...
%e ..0..0..1..1....0..0..1..1....0..0..1..1
%e ..0..1..0..1....0..1..0..0....0..1..0..1
%e ..1..0..0..1....1..1..0..1....1..1..0..0
%K nonn,tabl
%O 1,13
%A _R. H. Hardin_ Sep 30 2010