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A180988
T(n,k)=number of nXk binary matrices with rows in lexicographically nondecreasing order and columns in strictly increasing order
1
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, 0, 0, 21, 1027, 2051, 666, 84, 9, 0, 0, 7, 2429, 14610, 9646, 1506, 120, 10, 0, 0, 1, 4326, 86669, 140199, 37527, 3102, 165, 11, 0, 0, 0, 5848, 417934, 1820715, 1042746, 126889
OFFSET
1,1
COMMENTS
Table starts
..2...1.....0.......0.........0...........0.............0................0
..3...4.....3.......1.........0...........0.............0................0
..4..10....21......33........34..........21.............7................1
..5..20....85.....330......1027........2429..........4326.............5848
..6..35...260....2051.....14610.......86669........417934..........1644628
..7..56...666....9646....140199.....1820715......20114655........187187759
..8..84..1506...37527...1042746....27740695.....653629616......13274938582
..9.120..3102..126889...6452404...337921780...16343840487.....696496706166
.10.165..5940..384585..34637217..3474279349..336821069819...29455736927336
.11.220.10725.1066848.165746932.31178428721.5958448681626.1054259213026448
LINKS
EXAMPLE
All solutions for 3X3
..0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..1....0..0..1
..0..0..1....0..0..1....0..1..1....0..1..0....0..1..0....0..0..1....0..0..1
..0..1..0....0..1..1....1..0..1....0..1..0....0..1..1....0..1..0....0..1..1
...
..0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1
..0..1..1....0..1..0....0..1..0....0..1..0....0..1..0....0..1..1....0..1..1
..0..1..1....1..0..0....1..1..0....1..0..1....1..1..1....1..0..0....1..1..0
...
..0..0..1....0..0..1....0..1..1....0..1..1....0..1..1....0..1..1....0..1..1
..0..1..1....0..1..1....0..1..1....1..0..0....1..0..1....1..0..1....1..0..1
..1..0..1....1..1..1....1..0..1....1..0..1....1..1..0....1..0..1....1..1..1
CROSSREFS
Sequence in context: A058208 A070817 A231347 * A127474 A364015 A363158
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Sep 30 2010
STATUS
approved