

A178805


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


2



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


MATHEMATICA

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


CROSSREFS

Cf. A050499 (nearest integer to n/log(n)), A178806.
Sequence in context: A263086 A182814 A055025 * A088907 A130235 A267531
Adjacent sequences: A178802 A178803 A178804 * A178806 A178807 A178808


KEYWORD

nonn


AUTHOR

T. D. Noe, Jun 16 2010


STATUS

approved



