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%I #3 Mar 31 2012 12:35:49
%S 2,1,3,0,4,4,0,3,10,5,0,1,21,20,6,0,0,33,85,35,7,0,0,34,330,260,56,8,
%T 0,0,21,1027,2051,666,84,9,0,0,7,2429,14610,9646,1506,120,10,0,0,1,
%U 4326,86669,140199,37527,3102,165,11,0,0,0,5848,417934,1820715,1042746,126889
%N T(n,k)=number of nXk binary matrices with rows in lexicographically nondecreasing order and columns in strictly increasing order
%C Table starts
%C ..2...1.....0.......0.........0...........0.............0................0
%C ..3...4.....3.......1.........0...........0.............0................0
%C ..4..10....21......33........34..........21.............7................1
%C ..5..20....85.....330......1027........2429..........4326.............5848
%C ..6..35...260....2051.....14610.......86669........417934..........1644628
%C ..7..56...666....9646....140199.....1820715......20114655........187187759
%C ..8..84..1506...37527...1042746....27740695.....653629616......13274938582
%C ..9.120..3102..126889...6452404...337921780...16343840487.....696496706166
%C .10.165..5940..384585..34637217..3474279349..336821069819...29455736927336
%C .11.220.10725.1066848.165746932.31178428721.5958448681626.1054259213026448
%H R. H. Hardin, <a href="/A180988/b180988.txt">Table of n, a(n) for n=1..287</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..0..1....0..0..1
%e ..0..1..0....0..1..1....1..0..1....0..1..0....0..1..1....0..1..0....0..1..1
%e ...
%e ..0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1
%e ..0..1..1....0..1..0....0..1..0....0..1..0....0..1..0....0..1..1....0..1..1
%e ..0..1..1....1..0..0....1..1..0....1..0..1....1..1..1....1..0..0....1..1..0
%e ...
%e ..0..0..1....0..0..1....0..1..1....0..1..1....0..1..1....0..1..1....0..1..1
%e ..0..1..1....0..1..1....0..1..1....1..0..0....1..0..1....1..0..1....1..0..1
%e ..1..0..1....1..1..1....1..0..1....1..0..1....1..1..0....1..0..1....1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Sep 30 2010
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