|
|
A259874
|
|
Array read by antidiagonals upwards: Davenport-Schinzel numbers T(n,k), n >= 1, k >= 1.
|
|
6
|
|
|
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 5, 4, 1, 1, 5, 7, 8, 5, 1, 1, 6, 9, 12, 10, 6, 1, 1, 7, 11, 17, 16, 14, 7, 1, 1, 8, 13, 22, 22, 23, 16, 8, 1, 1, 9, 15, 27, 29, 34, 28, 20, 9, 1, 1, 10, 17, 32
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,5
|
|
COMMENTS
|
Named after the English mathematician Harold Davenport (1907-1969) and the Polish mathematician Andrzej Schinzel (1937-2021). - Amiram Eldar, Jun 06 2021
|
|
REFERENCES
|
R. G. Stanton and P. H. Dirksen, Davenport-Schinzel sequences, Ars. Combin., 1 (1976), 43-51.
|
|
LINKS
|
R. G. Stanton and P. H. Dirksen, Davenport-Schinzel sequences, Ars. Combin., Vol. 1 (1976), pp. 43-51. [Annotated scanned copy, different annotations from one above]
|
|
EXAMPLE
|
First few antidiagonals:
1;
1, 1;
1, 2, 1;
1, 3, 3, 1;
1, 4, 5, 4, 1;
1, 5, 7, 8, 5, 1;
1, 6, 9, 12, 10, 6, 1;
1, 7, 11, 17, 16, 14, 7, 1;
1, 8, 13, 22, 22, 23, 16, 8, 1;
...
First few rows:
1, 1, 1, 1, 1, 1, ...
1, 2, 3, 4, 5, 6, 7, 8, ...
1, 3, 5, 8, 10, 14, 16, 20, 22, 26, ...
1, 4, 7, 12, 16, 23, 28, 35, 40, 47, ...
1, 5, 9, 17, 22, 34, 41, 53, 61, 73, ...
...
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|