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.

A069057 Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.

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%I A069057 #30 Sep 03 2024 01:37:46
%S A069057 36,100,144,324,392,400,576,784,800,900,968,1296,1352,1575,1600,1936,
%T A069057 2304,2450,2500,2704,2916,3136,3600,3872,4356,4624,5184,5408,5776,
%U A069057 6050,6272,6400,7744,8100,8450,8464,9216,9248,10000,10404,10816,11552,11664
%N A069057 Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.
%C A069057 Many terms in the sequence are squares: 6^2,10^2,12^2,18^2,20^2,24^2,28^2,30^2,36^2,40^2,44^2,48^2,50^2...
%C A069057 Abundant numbers that are coprime to their abundance (intersection of A005101 and A014567) are all terms. Abundant numbers that are not coprime to their abundance are 4-abundant (i.e., terms of A023198, e.g., 64468800, 121726800, 168480000, ...). - _Waldemar Puszkarz_ and _Amiram Eldar_, Aug 15 2024
%H A069057 Amiram Eldar, <a href="/A069057/b069057.txt">Table of n, a(n) for n = 1..10000</a>
%t A069057 Select[Range[12000], Numerator[Total[1/Divisors@ #]] > 2 # &] (* _Michael De Vlieger_, May 04 2016 *)
%o A069057 (PARI) isok(n) = numerator(sigma(n)/n) > 2*n; \\ _Michel Marcus_, May 04 2016
%Y A069057 Cf. A005101, A014567, A017665, A023198.
%K A069057 easy,nonn
%O A069057 1,1
%A A069057 _Benoit Cloitre_, Apr 07 2002