

A259874


Array read by antidiagonals upwards: DavenportSchinzel numbers T(n,k), n >= 1, k >= 1.


4



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


REFERENCES

R. G. Stanton and P. H. Dirksen, DavenportSchinzel sequences, Ars. Combin., 1 (1976), 4351.


LINKS

Table of n, a(n) for n=1..59.
R. G. Stanton and P. H. Dirksen, DavenportSchinzel sequences, Ars. Combin., 1 (1976), 4351. [Annotated scanned copy]
R. G. Stanton and P. H. Dirksen, DavenportSchinzel sequences, Ars. Combin., 1 (1976), 4351. [Annotated scanned copy, different annotations from one above]


EXAMPLE

First few antidiagonals are:
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,
...
The first few rows are:
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

Rows and columns include A005004, A005005, A005006, A002004.
Sequence in context: A077028 A114225 A193515 * A256141 A072704 A038792
Adjacent sequences: A259871 A259872 A259873 * A259875 A259876 A259877


KEYWORD

nonn,tabl,more


AUTHOR

N. J. A. Sloane, Jul 09 2015


EXTENSIONS

More terms from Sean A. Irvine, Feb 21 2016


STATUS

approved



