A050501 a(n) = ceiling(n/log(n)).

3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18

Offset: 2

Author

N. J. A. Sloane, Dec 27 1999

Keywords

• nonn

Comments

Also, least k such that k*log(n) exceeds n. - Amarnath Murthy, Jun 17 2004

Links

• T. D. Noe, Table of n, a(n) for n = 2..10000

Crossrefs

See A050499 for more information.

Programs

Mathematica

Do[k = 1; While[k*Log[n] <= n, k++ ]; Print[k], {n, 2, 100}] (* Ryan Propper, Sep 17 2005 *)
Array[ Ceiling[#/Log@#] &, 80, 2] (* Robert G. Wilson v, Jan 15 2017 *)

Extensions

Edited by N. J. A. Sloane, Sep 15 2008 at the suggestion of R. J. Mathar