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A080282 Numbers n such that log(n) + log_10(n) is closer to its nearest integer than any value of log(k) + log_10(k) for 1 < = k < n. 1
2, 132, 264, 531, 8636, 69934, 140437, 282017, 566329, 1137266, 2283785, 4586151, 37138783, 74579724, 149766223, 603948755, 2435489735, 9821380043, 19722666141, 39605794500, 159714719422, 320728866517, 320728866518 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
log(320728866518) + log_10(320728866518) = 38.00000000000122913669...
LINKS
EXAMPLE
Interestingly, values of n that satisfy the criterion seem to start appearing in pairs if this sequence is extended further.
For example, the values 320728866517 and 320728866518 and later on the values 11169523543872502 and 11169523543872503. Many more of these n, n+1 pairs crop up in the sequence.
CROSSREFS
Sequence in context: A089662 A119778 A071606 * A131931 A020524 A157071
KEYWORD
nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
EXTENSIONS
More terms from Michel ten Voorde Jun 20 2003
Still more terms from Mark Hudson, Aug 26 2004
STATUS
approved

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Last modified April 23 08:33 EDT 2024. Contains 371905 sequences. (Running on oeis4.)