A178806 Numbers n such that ||n/log(n)|| * log(n) reaches a new minimum, where ||x|| is the distance from x to the nearest integer.

2, 17, 163, 715533, 1432276, 6517719, 11523158, 11985596, 24102781, 254977309, 451207448, 1219588338, 2048539023, 10066616717, 42116139191, 47657002570, 73831354169, 122478947521, 143949453227, 3152420311977, 5624690531099, 14964977749017, 25999244327633, 92799025313425, 164330745650026, 604329910739082

Offset

1,1

Comments

The first 9 terms are from Will Jagy in a MathOverflow answer. Closely related to A178805.

Added 14 more terms from Noam D. Elkies (second MathOverflow link). - T. D. Noe, Feb 12 2013

Links

Table of n, a(n) for n=1..26.

MathOverflow, When is n/ln(n) close to an integer?

MathOverflow, When is n/ln(n) close to an integer?

Mathematica

mn=Infinity; n=2; Table[While[r=N[n/Log[n]]; diff=Log[n] Abs[r-Round[r]]; diff>=mn, n++ ]; mn=diff; Print[{n, mn}]; n, {9}]

Crossrefs

Cf. A050499 (nearest integer to n/log(n)).

Sequence in context: A112321 A362477 A276198 * A197864 A231616 A003419

Adjacent sequences: A178803 A178804 A178805 * A178807 A178808 A178809

Keyword

nonn

Author

T. D. Noe, Jun 16 2010

Status

approved