A180989 T(n,k)=number of nXk binary matrices with rows and then columns in strictly increasing order as binary numbers

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, 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, 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

Offset

1,26

Comments

Table starts

.0.0.0....0.........0...............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...19.........0...............0.....................0

.0.0.6..196.......721...............0.....................0

.0.0.4..873.....17630...........67264.....................0

.0.0.1.2200....194176.........3673129..............16731459

.0.0.0.3489...1283875........91610331............1986193307

.0.0.0.3675...5754681......1408620622..........106664349231

.0.0.0.2646..18841145.....15031688395.........3595756291357

.0.0.0.1319..47481210....119897184624........85146473995739

.0.0.0..454..95722629....754355167375......1517858668914081

.0.0.0..105.158918058...3897928580882.....21458940104760027

.0.0.0...15.222078101..17056422818565....250470869515416956

.0.0.0....1.265522138..64708241443623...2489728914680959379

.0.0.0....0.274798153.216764641206495..21589512131961793054

.0.0.0....0.248033249.650403229942940.166424857870089951949

Links

R. H. Hardin, Table of n, a(n) for n=1..365

Example

All solutions for 5X4
..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
..1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0
..1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1
..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..1
..1..1..0..0....1..1..1..0....1..0..1..1....1..1..0..1....1..1..0..0
...
..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
..1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..0....1..0..0..1
..1..0..0..1....1..0..0..1....1..0..1..1....1..0..1..1....1..0..1..0
..1..0..1..1....1..0..1..1....1..1..0..0....1..1..0..1....1..0..1..1
..1..1..1..0....1..1..0..1....1..1..0..1....1..1..1..0....1..1..0..0
...
..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
..1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1....1..0..0..1
..1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0....1..0..1..0
..1..0..1..1....1..0..1..1....1..1..0..0....1..1..0..0....1..1..0..1
..1..1..1..0....1..1..0..1....1..1..1..0....1..1..0..1....1..1..1..0
...
..0..1..1..1....0..1..1..1....0..1..1..1....0..1..1..1
..1..0..0..1....1..0..0..1....1..0..0..1....1..0..1..1
..1..0..1..1....1..0..1..1....1..0..1..1....1..1..0..0
..1..1..0..0....1..1..0..0....1..1..0..1....1..1..0..1
..1..1..1..0....1..1..0..1....1..1..1..0....1..1..1..0

Crossrefs

Sequence in context: A308428 A308276 A340977 * A075444 A280492 A089371

Adjacent sequences: A180986 A180987 A180988 * A180990 A180991 A180992

Keyword

nonn,tabl

Author

R. H. Hardin Sep 30 2010

Status

approved