A362909 a(n) is the smallest number k such that A362881(k) = n.

1, 3, 6, 10, 22, 31, 34, 37, 40, 121, 1035, 1078, 1121, 7607, 9453, 13667, 13729, 50040, 50123, 50206, 615964, 616448, 616932, 617416, 2828280, 2851232, 2874184, 2897136, 5350614, 5583250, 5594326, 17310256, 17312210, 17994974, 18008820, 19051432, 19069162

Offset

1,2

Comments

All positive integers will appear in A362881. Rémy Sigrist showed that as a consequence of Van der Waerden's theorem, A362881 is unbounded.

The present sequence is monotonically increasing since a progression of length n begins with a progression of length n-1 so a(n-1) < a(n).

Links

Kevin Ryde, Table of n, a(n) for n = 1..62

Samuel Harkness, MATLAB program for A362909

Kevin Ryde, C Code

Prog

(MATLAB) See Links section.
(C) /* See links */

Crossrefs

Cf. A362881.

Sequence in context: A220827 A063015 A372851 * A282515 A284202 A275189

Adjacent sequences: A362906 A362907 A362908 * A362910 A362911 A362912

Keyword

nonn,changed

Author

Samuel Harkness, May 14 2023

Extensions

a(25)-a(31) from Yang Haoran, May 17 2023

a(32)-a(37) from Kevin Ryde, May 22 2023

Status

approved