This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A080282 #18 Dec 07 2019 03:00:19 %S A080282 2,132,264,531,8636,69934,140437,282017,566329,1137266,2283785, %T A080282 4586151,37138783,74579724,149766223,603948755,2435489735,9821380043, %U A080282 19722666141,39605794500,159714719422,320728866517,320728866518 %N 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. %C A080282 log(320728866518) + log_10(320728866518) = 38.00000000000122913669... %e A080282 Interestingly, values of n that satisfy the criterion seem to start appearing in pairs if this sequence is extended further. %e A080282 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 A080282 Cf. A079490, A080052, A080279, A080280, A080281. %K A080282 nonn %O A080282 1,1 %A A080282 Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003 %E A080282 More terms from _Michel ten Voorde_ Jun 20 2003 %E A080282 Still more terms from Mark Hudson, Aug 26 2004