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.

A348847 Numbers k where the ratios A099378(k)/k reach a record value.

This page as a plain text file.
%I A348847 #24 Nov 02 2021 13:20:48
%S A348847 1,2,4,8,16,36,144,576,900,3600,14400,32400,129600,435600,6969600,
%T A348847 8643600,34574400,77792400,311169600,2498000400,2800526400,7779240000,
%U A348847 9992001600,22482003600
%N A348847 Numbers k where the ratios A099378(k)/k reach a record value.
%C A348847 Are there nonsquare terms in this sequence that are larger than 8?
%e A348847 The first 4 ratios A099378(k)/k, for k = 1 to 4, are 1, 3/2, 2/3 and 7/4. The record values occur at k = 1, 2 and 4, the first 3 terms of this sequence.
%t A348847 r[n_] := Denominator[DivisorSigma[0, n]/DivisorSigma[-1, n]]/n; s = {}; rm = 0; Do[If[(r1 = r[n]) > rm, rm = r1; AppendTo[s, n]], {n, 1, 5*10^5}]; s
%Y A348847 Cf. A099377, A099378, A348414.
%K A348847 nonn,more
%O A348847 1,2
%A A348847 _Amiram Eldar_, Nov 02 2021