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.

A330412 Integers m such that sigma(m) + sigma(8*m) = 18*m.

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%I A330412 #8 Feb 24 2020 04:24:32
%S A330412 34,568,147328,603971584,9663643648,39582416502784,
%T A330412 696341272098017608537735168,765635325572111542783369494684623699968,
%U A330412 3615610599582728119969414707766982030374842621310535527825408,3791242500068058721125048996612134914443116117566314438843154038784
%N A330412 Integers m such that sigma(m) + sigma(8*m) = 18*m.
%C A330412 This is the case h = 8 of the h-perfect numbers as defined in the Harborth link.
%H A330412 Heiko Harborth, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_41_from57to62.pdf">On h-perfect numbers</a>, Annales Mathematicae et Informaticae, 41 (2013) pp. 57-62.
%F A330412 a(n) = 2^A002236(n) * A050524(n).
%e A330412 34 is a term since sigma(34) + sigma(8*34) = 612, that is 18*34.
%o A330412 (PARI) isok(m) = sigma(m) + sigma(8*m) == 18*m;
%Y A330412 Cf. A000203, A000396, A002236, A050524, A136539, A281993, A330413.
%K A330412 nonn
%O A330412 1,1
%A A330412 _Jinyuan Wang_, Feb 12 2020