A095999 Number of divisors of n that are < log(n).

0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 2, 3, 1, 3, 1, 3, 2

Offset

1,8

Links

Antti Karttunen, Table of n, a(n) for n = 1..65537

Mathematica

f[n_] := Length[ Select[ Divisors[ n], # < Log[ n] &]]; Table[ f[n], {n, 105}]

Prog

(PARI) a(n) = sumdiv(n, d, d<log(n)); \\ Michel Marcus, Jun 29 2015
(PARI) A095999(n) = sumdiv(n, d, exp(d)<n); \\ Antti Karttunen, May 19 2020

Crossrefs

Sequence in context: A160984 A346094 A082898 * A334948 A161238 A161062

Adjacent sequences: A095996 A095997 A095998 * A096000 A096001 A096002

Keyword

nonn

Author

Robert G. Wilson v, Jul 19 2004, based on a suggestion from Leroy Quet, Jun 18 2004

Status

approved