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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.
1
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
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
KEYWORD
nonn
AUTHOR
T. D. Noe, Jun 16 2010
STATUS
approved