A080282 - OEIS

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.

2, 132, 264, 531, 8636, 69934, 140437, 282017, 566329, 1137266, 2283785, 4586151, 37138783, 74579724, 149766223, 603948755, 2435489735, 9821380043, 19722666141, 39605794500, 159714719422, 320728866517, 320728866518

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OFFSET

1,1

COMMENTS

log(320728866518) + log_10(320728866518) = 38.00000000000122913669...

LINKS

Table of n, a(n) for n=1..23.

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

Cf. A079490, A080052, A080279, A080280, A080281.

Sequence in context: A089662 A119778 A071606 * A131931 A020524 A157071

Adjacent sequences: A080279 A080280 A080281 * A080283 A080284 A080285

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