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 A019424 #29 Sep 08 2022 08:44:44 %S A019424 1,2667,3937,17490,19410,22578,24610,24910,25466,25910,26554,26818, %T A019424 27285,29342,29733,29762,31102,31535,32043,32997,33985,35585,36635, %U A019424 37985,39697,41393,41837,42347,44047,45637,45739,45937,46117,172011,253921,640737 %N A019424 Numbers whose sum of divisors is a sixth power. %H A019424 Marius A. Burtea, <a href="/A019424/b019424.txt">Table of n, a(n) for n = 1..2010</a> (terms 1..1000 from Donovan Johnson) %H A019424 Frits Beukers, Florian Luca and Frans Oort, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.119.05.373">Power Values of Divisor Sums</a>, The American Mathematical Monthly, Vol. 119, No. 5 (May 2012), pp. 373-380. %e A019424 sigma(2667) = 1+3+7+21+127+381+889+2667 = 4096 = 4^6. %e A019424 sigma(3937) = 1+31+127+3937 = 4096 = 4^6. %t A019424 Select[Range[700000],IntegerQ[Surd[DivisorSigma[1,#],6]]&] (* _Harvey P. Dale_, Apr 19 2019 *) %o A019424 (PARI) c=0; for(n=1, 306455560, if(ispower(sigma(n), 6), c++; write("b019424.txt", c " " n))) /* _Donovan Johnson_, Jun 13 2013 */ %o A019424 (Magma) [n:n in [1..100000]| IsPower(SumOfDivisors(n),6)]; // _Marius A. Burtea_, Apr 17 2019 %Y A019424 Cf. A000203, A006532, A019422, A019423, A020477, A048257, A048258. %K A019424 nonn %O A019424 1,2 %A A019424 _David W. Wilson_