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

Author

Samuel Harkness, May 14 2023

Keywords

• nonn

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

Crossrefs

Cf. A362881.

Programs

C

/* See links */

MATLAB

See Links section.

Extensions

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

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