A180984 T(n,k)=number of nXk binary matrices with rows and columns in lexicographically strictly increasing order

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, 21, 925, 925, 21, 0, 0, 0, 0, 7, 2366, 10706, 2366, 7, 0, 0, 0, 0, 1, 4305, 77079, 77079, 4305, 1, 0, 0, 0, 0, 0, 5845, 400672, 1411450, 400672, 5845, 0, 0, 0, 0, 0, 0, 6059, 1621242

Offset

1,1

Comments

Table starts

.2.1..0....0........0..........0.............0...............0

.1.3..3....1........0..........0.............0...............0

.0.3.15...31.......34.........21.............7...............1

.0.1.31..234......925.......2366..........4305............5845

.0.0.34..925....10706......77079........400672.........1621242

.0.0.21.2366....77079....1411450......18068175.......179023089

.0.0..7.4305...400672...18068175.....539124281.....12176364503

.0.0..1.5845..1621242..179023089...12176364503....607445721710

.0.0..0.6059..5329869.1451615923..223274567811..24245093840300

.0.0..0.4830.14617117.9963573356.3463014573021.813139746187214

Links

R. H. Hardin, Table of n, a(n) for n=1..312

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..1..0....0..1..0
..0..1..0....0..1..1....1..0..1....0..1..1....1..0..0....1..1..0....1..0..1
...
..0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..1..1....0..1..1
..0..1..0....0..1..1....0..1..1....0..1..1....0..1..1....1..0..0....1..0..1
..1..1..1....1..0..0....1..1..0....1..0..1....1..1..1....1..0..1....1..1..0
...
..0..1..1
..1..0..1
..1..1..1

Crossrefs

Sequence in context: A253587 A110962 A065715 * A051628 A163540 A127967

Adjacent sequences: A180981 A180982 A180983 * A180985 A180986 A180987

Keyword

nonn,tabl

Author

R. H. Hardin Sep 30 2010

Status

approved