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%I #3 Mar 31 2012 12:35:49
%S 2,1,1,0,3,0,0,3,3,0,0,1,15,1,0,0,0,31,31,0,0,0,0,34,234,34,0,0,0,0,
%T 21,925,925,21,0,0,0,0,7,2366,10706,2366,7,0,0,0,0,1,4305,77079,77079,
%U 4305,1,0,0,0,0,0,5845,400672,1411450,400672,5845,0,0,0,0,0,0,6059,1621242
%N T(n,k)=number of nXk binary matrices with rows and columns in lexicographically strictly increasing order
%C Table starts
%C .2.1..0....0........0..........0.............0...............0
%C .1.3..3....1........0..........0.............0...............0
%C .0.3.15...31.......34.........21.............7...............1
%C .0.1.31..234......925.......2366..........4305............5845
%C .0.0.34..925....10706......77079........400672.........1621242
%C .0.0.21.2366....77079....1411450......18068175.......179023089
%C .0.0..7.4305...400672...18068175.....539124281.....12176364503
%C .0.0..1.5845..1621242..179023089...12176364503....607445721710
%C .0.0..0.6059..5329869.1451615923..223274567811..24245093840300
%C .0.0..0.4830.14617117.9963573356.3463014573021.813139746187214
%H R. H. Hardin, <a href="/A180984/b180984.txt">Table of n, a(n) for n=1..312</a>
%e All solutions for 3X3
%e ..0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..1....0..0..1
%e ..0..0..1....0..0..1....0..1..1....0..1..0....0..1..0....0..1..0....0..1..0
%e ..0..1..0....0..1..1....1..0..1....0..1..1....1..0..0....1..1..0....1..0..1
%e ...
%e ..0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..1..1....0..1..1
%e ..0..1..0....0..1..1....0..1..1....0..1..1....0..1..1....1..0..0....1..0..1
%e ..1..1..1....1..0..0....1..1..0....1..0..1....1..1..1....1..0..1....1..1..0
%e ...
%e ..0..1..1
%e ..1..0..1
%e ..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Sep 30 2010
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