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 A348696 #17 Oct 30 2021 10:42:25 %S A348696 135,224,496,936,1485,1488,1755,2295,2464,2565,2912,3105,3808,3915, %T A348696 4185,4256,4464,4680,4995,5152,5456,5535,5805,6345,6448,6496,6552, %U A348696 6860,6944,7155,7965,8235,8288,8432,9045,9184,9424,9585,9632,9855,10296,10528,10665,10976 %N A348696 Numbers m such that there is at least one smaller number k < m with the same harmonic mean of divisors as m. %C A348696 The corresponding values of k (the least in case there are more than one) are 84, 120, 140, 864, 924, 420, 1092, 1428, 1320, 1596, ... (see the link for more values). %C A348696 The least term m with more than one smaller number k with the same harmonic mean of divisors as m is m = a(1237) = A348697(1) = 321048 with k = 201096 and 296352. %H A348696 Amiram Eldar, <a href="/A348696/b348696.txt">Table of n, a(n) for n = 1..10000</a> %H A348696 Amiram Eldar, <a href="/A348696/a348696.txt">Table of n, a(n), least k for n=1..1000</a> %e A348696 135 is a term since the harmonic mean of divisors of 135 is 9/2, and it is also the harmonic mean of divisors of 84 which is smaller than 135. %t A348696 h = Table[DivisorSigma[0, n]/DivisorSigma[-1, n], {n, 1, 10000}]; i = Position[(t = Tally[h])[[;; , 2]], _?(# > 1 &)] // Flatten; Position[h, #][[2 ;; -1]] & /@ t[[i, 1]] // Flatten // Sort %Y A348696 Cf. A099377, A099378, A348697. %K A348696 nonn %O A348696 1,1 %A A348696 _Amiram Eldar_, Oct 30 2021