A178805 Numbers k such that ||k/log(k)|| reaches a new minimum, where ||x|| is the distance from x to the nearest integer.

2, 5, 9, 13, 17, 163, 53453, 110673, 715533, 1432276, 6517719, 11523158, 11985596, 24102781, 254977309, 451207448, 1219588338, 2048539023, 10066616717, 42116139191, 47657002570, 73831354169, 122478947521, 143949453227, 3040705645816, 3152420311977, 5624690531099, 14964977749017, 25999244327633, 92799025313425, 164330745650026, 604329910739082

Offset

1,1

Comments

The first 9 terms are from Kevin O'Bryant in a Math OverFlow comment. Closely related to A178806.

Added 15 more terms from Noam D. Elkies (second MathOverflow link). - T. D. Noe, Feb 12 2013

Links

Table of n, a(n) for n=1..32.

MathOverflow, Why Is 163/ln(163) a Near-Integer?

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

Mathematica

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

Crossrefs

Cf. A050499 (nearest integer to n/log(n)), A178806.

Sequence in context: A351628 A371730 A055025 * A088907 A130235 A267531

Adjacent sequences: A178802 A178803 A178804 * A178806 A178807 A178808

Keyword

nonn

Author

T. D. Noe, Jun 16 2010

Status

approved