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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.

A348414 Numbers with record values of the denominator of the harmonic mean of their divisors.

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%I A348414 #10 Oct 20 2021 07:16:29
%S A348414 1,2,4,8,16,36,64,100,128,144,256,324,400,512,576,900,1296,1600,1936,
%T A348414 2304,3600,5184,6400,8100,9216,10404,11664,14400,17424,20736,22500,
%U A348414 30276,32400,41616,46656,57600,76176,90000,108900,129600,166464,202500,230400,260100
%N A348414 Numbers with record values of the denominator of the harmonic mean of their divisors.
%C A348414 The corresponding record values are 1, 3, 7, 15, 31, 91, 127, 217, 255, 403, ... (see the link for more values).
%H A348414 Amiram Eldar, <a href="/A348414/b348414.txt">Table of n, a(n) for n = 1..200</a>
%H A348414 Amiram Eldar, <a href="/A348414/a348414.txt">Table of n, a(n), A099378(a(n)) for n = 1..200</a>
%e A348414 The first 4 terms of A099378 are 1, 3, 2 and 7. The record values, 1, 3 and 7, occur at 1, 2 and 4, the first 3 terms of this sequence.
%t A348414 d[n_] := Denominator[DivisorSigma[0, n]/DivisorSigma[-1, n]]; dm = 0; s = {}; Do[dn = d[n]; If[dn > dm, dm = dn; AppendTo[s, n]], {n, 1, 10^6}]; s
%Y A348414 Cf. A099377, A099378.
%K A348414 nonn
%O A348414 1,2
%A A348414 _Amiram Eldar_, Oct 17 2021