|
| |
|
|
A180985
|
|
T(n,k)=number of nXk binary matrices with rows and columns in lexicographically nondecreasing order
|
|
7
|
|
|
|
2, 3, 3, 4, 7, 4, 5, 14, 14, 5, 6, 25, 45, 25, 6, 7, 41, 130, 130, 41, 7, 8, 63, 336, 650, 336, 63, 8, 9, 92, 785, 2942, 2942, 785, 92, 9, 10, 129, 1682, 11819, 24520, 11819, 1682, 129, 10, 11, 175, 3351, 42305, 183010, 183010, 42305, 3351, 175, 11, 12, 231, 6280, 136564
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
..2...3.....4.......5.........6...........7.............8................9
..3...7....14......25........41..........63............92..............129
..4..14....45.....130.......336.........785..........1682.............3351
..5..25...130.....650......2942.......11819.........42305...........136564
..6..41...336....2942.....24520......183010.......1202234..........6979061
..7..63...785...11819....183010.....2625117......33345183........371484319
..8..92..1682...42305...1202234....33345183.....836488618......18470742266
..9.129..3351..136564...6979061...371484319...18470742266.....818230288201
.10.175..6280..402910..36211867..3651371519..358194085968...31887670171373
.11.231.11176.1099694.170079565.32017940222.6148026957098.1096628939510047
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n=1..311
|
|
|
EXAMPLE
|
All solutions for 3X3
..0..0..0....0..0..0....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..1....0..0..1....0..1..1....0..0..0
..0..0..1....0..1..1....0..1..0....0..0..1....0..1..1....0..1..1....1..1..1
...
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..1
..0..0..1....0..1..1....0..0..1....0..1..1....0..1..1....0..1..0....0..1..0
..1..1..0....1..0..0....1..1..1....1..0..1....1..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..0..1....0..0..1....0..0..1....0..1..1....0..1..0....0..1..0....0..1..0
..0..1..0....0..0..1....0..1..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..0..1....0..0..1
..0..1..0....0..0..1....0..1..1....0..1..1....0..0..1....0..1..1....0..1..1
..1..1..1....1..1..0....1..0..0....1..1..0....1..1..1....1..0..1....1..1..1
...
..0..0..0....0..0..1....0..0..1....0..0..1....0..1..1....0..1..1....0..1..1
..1..1..1....1..1..0....1..1..0....1..1..1....0..1..1....0..1..1....0..1..1
..1..1..1....1..1..0....1..1..1....1..1..1....0..1..1....1..0..0....1..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..0....1..0..0....1..0..1....1..0..1....1..0..1
..1..1..1....1..0..0....1..0..1....1..1..1....1..1..0....1..0..1....1..1..1
...
..0..1..1....1..1..1
..1..1..1....1..1..1
..1..1..1....1..1..1
|
|
|
CROSSREFS
|
Sequence in context: A078467 A154217 A185738 * A049790 A222188 A184271
Adjacent sequences: A180982 A180983 A180984 * A180986 A180987 A180988
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
R. H. Hardin Sep 30 2010
|
|
|
STATUS
|
approved
|
| |
|
|
