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 A328134 #9 Jan 18 2020 03:12:57 %S A328134 1,2,3,4,7,8,9,12,16,18,20,28,36,52,60,68,72,84,92,100,124,132,140, %T A328134 144,180,244,252,300,324,360,396,468,588,612,684,828,900,1116,1260, %U A328134 1332,1476,1548,1692,1764,2124,2196,2340,2412,2556,2628,2700,2772,2844,2988 %N A328134 Exponential highly abundant numbers: numbers m such that esigma(m) > esigma(k) for all k < m, where esigma(m) is the sum of exponential divisors of m (A051377). %C A328134 The exponential version of A002093. %H A328134 Amiram Eldar, <a href="/A328134/b328134.txt">Table of n, a(n) for n = 1..1000</a> %e A328134 The first 10 values of esigma(k) for k = 1 to 10 are 1, 2, 3, 6, 5, 6, 7, 10, 12, 10. The record values are reached for 1, 2, 3, 4, 7, 8, 9. %t A328134 f[p_, e_] := DivisorSum[e, p^# &]; esigma[1] = 1; esigma[n_] := Times @@ f @@@ FactorInteger[n]; s = {}; em = 0; Do[e = esigma[n]; If[e > em, em = e; AppendTo[s, n]], {n, 1, 3000}]; s %Y A328134 Cf. A002093, A051377, A285614 (unitary), A292983 (bi-unitary), A327634 (infinitary). %K A328134 nonn %O A328134 1,2 %A A328134 _Amiram Eldar_, Oct 04 2019