cp's OEIS Frontend

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.

A211200 Indices of records in A207709.

This page as a plain text file.
%I A211200 #26 Mar 18 2014 05:35:29
%S A211200 1,11,113,7103,8778881,2302890927539,7289913993299309016859,
%T A211200 330513634706872709970497049176749987771,
%U A211200 52698433600606388974675914778280598904460888679269021907794061677149
%N A211200 Indices of records in A207709.
%C A211200 Least k such that (H(k) + exp(H(k))*log(H(k)))/sigma(k) >= n, where H(k) is the harmonic number sum_{i=1..k} 1/i.
%C A211200 a(10) has 119 digits and is too large to include.
%C A211200 Conjecture: the sequence contains only noncomposite numbers.
%e A211200 A207709(11) = 2 since A207709(113) = 3 is the next record value.
%t A211200 lst = {}; h = k = n = 0; Do[While[n <= max, k++; h = h + 1/k; n = (h + Exp@h*Log@h)/DivisorSigma[1, k]]; AppendTo[lst, k], {max, 2, 4}]; Prepend[lst, 1]
%Y A211200 Cf. A207709.
%K A211200 nonn
%O A211200 1,2
%A A211200 _Arkadiusz Wesolowski_, Apr 04 2012