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. K. Guy, Unsolved Problems in Number Theory, Springer, 1st edition, 1981. See section E20.
R. G. Stanton and P. H. Dirksen, Davenport-Schinzel sequences, Ars. Combin., 1 (1976), 43-51.
LINKS
Harold Davenport and Andrzej Schinzel, A combinatorial problem connected with differential equations, American Journal of Mathematics, Vol. 87, No. 3 (1965), pp. 684-694.
R. G. Stanton and P. H. Dirksen, Davenport-Schinzel sequences, Ars. Combin., Vol. 1 (1976), pp. 43-51. [Annotated scanned copy]
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
N. J. A. Sloane, Jul 09 2015
EXTENSIONS
More terms from Sean A. Irvine, Feb 21 2016
STATUS
approved