%I #3 Mar 31 2012 12:35:49
%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,4,0,0,0,0,0,0,19,6,
%T 0,0,0,0,0,0,0,196,4,0,0,0,0,0,0,0,721,873,1,0,0,0,0,0,0,0,0,17630,
%U 2200,0,0,0,0,0,0,0,0,0,67264,194176,3489,0,0,0,0,0,0,0,0,0,0,3673129,1283875
%N T(n,k)=number of nXk binary matrices with rows and then columns in strictly increasing order as binary numbers
%C Table starts
%C .0.0.0....0.........0...............0.....................0
%C .0.0.0....0.........0...............0.....................0
%C .0.0.0....0.........0...............0.....................0
%C .0.0.1....0.........0...............0.....................0
%C .0.0.4...19.........0...............0.....................0
%C .0.0.6..196.......721...............0.....................0
%C .0.0.4..873.....17630...........67264.....................0
%C .0.0.1.2200....194176.........3673129..............16731459
%C .0.0.0.3489...1283875........91610331............1986193307
%C .0.0.0.3675...5754681......1408620622..........106664349231
%C .0.0.0.2646..18841145.....15031688395.........3595756291357
%C .0.0.0.1319..47481210....119897184624........85146473995739
%C .0.0.0..454..95722629....754355167375......1517858668914081
%C .0.0.0..105.158918058...3897928580882.....21458940104760027
%C .0.0.0...15.222078101..17056422818565....250470869515416956
%C .0.0.0....1.265522138..64708241443623...2489728914680959379
%C .0.0.0....0.274798153.216764641206495..21589512131961793054
%C .0.0.0....0.248033249.650403229942940.166424857870089951949
%H R. H. Hardin, <a href="/A180989/b180989.txt">Table of n, a(n) for n=1..365</a>
%e All solutions for 5X4
%e ..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
%e ..1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0
%e ..1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1
%e ..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..1
%e ..1..1..0..0....1..1..1..0....1..0..1..1....1..1..0..1....1..1..0..0
%e ...
%e ..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
%e ..1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..1
%e ..1..0..0..1....1..0..0..1....1..0..1..1....1..0..1..1....1..0..1..0
%e ..1..0..1..1....1..0..1..1....1..1..0..0....1..1..0..1....1..0..1..1
%e ..1..1..1..0....1..1..0..1....1..1..0..1....1..1..1..0....1..1..0..0
%e ...
%e ..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
%e ..1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1
%e ..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0
%e ..1..0..1..1....1..0..1..1....1..1..0..0....1..1..0..0....1..1..0..1
%e ..1..1..1..0....1..1..0..1....1..1..1..0....1..1..0..1....1..1..1..0
%e ...
%e ..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
%e ..1..0..0..1....1..0..0..1....1..0..0..1....1..0..1..1
%e ..1..0..1..1....1..0..1..1....1..0..1..1....1..1..0..0
%e ..1..1..0..0....1..1..0..0....1..1..0..1....1..1..0..1
%e ..1..1..1..0....1..1..0..1....1..1..1..0....1..1..1..0
%K nonn,tabl
%O 1,26
%A _R. H. Hardin_ Sep 30 2010