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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

%I #18 Dec 07 2019 03:00:19

%S 2,132,264,531,8636,69934,140437,282017,566329,1137266,2283785,

%T 4586151,37138783,74579724,149766223,603948755,2435489735,9821380043,

%U 19722666141,39605794500,159714719422,320728866517,320728866518

%N 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.

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

%e Interestingly, values of n that satisfy the criterion seem to start appearing in pairs if this sequence is extended further.

%e 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.

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

%K nonn

%O 1,1

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003

%E More terms from _Michel ten Voorde_ Jun 20 2003

%E Still more terms from Mark Hudson, Aug 26 2004

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Last modified May 26 11:45 EDT 2024. Contains 372824 sequences. (Running on oeis4.)