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A223716
T(n,k)=Number of nXk 0..1 arrays with row sums and column sums unimodal
6
2, 4, 4, 7, 16, 7, 11, 53, 53, 11, 16, 155, 333, 155, 16, 22, 418, 1805, 1805, 418, 22, 29, 1066, 8953, 18496, 8953, 1066, 29, 37, 2611, 41389, 170568, 170568, 41389, 2611, 37, 46, 6205, 180718, 1470857, 2961925, 1470857, 180718, 6205, 46, 56, 14408, 757748
OFFSET
1,1
COMMENTS
Table starts
..2.....4........7.........11............16.............22..............29
..4....16.......53........155...........418...........1066............2611
..7....53......333.......1805..........8953..........41389..........180718
.11...155.....1805......18496........170568........1470857........11966981
.16...418.....8953.....170568.......2961925.......47624032.......724836148
.22..1066....41389....1470857......47624032.....1443186250.....41246442844
.29..2611...180718...11966981.....724836148....41246442844...2224448741450
.37..6205...757748...93299973...10522589594..1127371554425.114653353884857
.46.14408..3072208..701423479..147121311988.29645620713939
.56.32852.12100344.5128436121.1993532014468
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..1..0..0....1..1..1..1....1..1..0..0....0..1..0..0....0..1..0..0
..1..1..0..1....0..1..1..1....0..1..0..1....1..0..0..1....0..1..1..1
..1..1..1..0....0..0..0..1....0..1..1..0....1..1..1..0....0..0..0..0
CROSSREFS
Column 1 is A000124
Sequence in context: A223620 A227679 A223782 * A188607 A188851 A188523
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Mar 26 2013
STATUS
approved