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.

A007609 Values taken by the sigma function A000203, listed with multiplicity and in ascending order.

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%I A007609 #43 Apr 15 2020 02:23:56
%S A007609 1,3,4,6,7,8,12,12,13,14,15,18,18,20,24,24,24,28,30,31,31,32,32,36,38,
%T A007609 39,40,42,42,42,44,48,48,48,54,54,56,56,57,60,60,60,62,63,68,72,72,72,
%U A007609 72,72,74,78,80,80,84,84,84,90,90,90,91,93,96,96,96,96,98,98
%N A007609 Values taken by the sigma function A000203, listed with multiplicity and in ascending order.
%C A007609 A175192(a(n)) = 1, A054973(a(n)) >= 1. - _Jaroslav Krizek_, Mar 01 2010
%C A007609 a(n) is the median of the values of A000203(m) from m=1 to m=2n-1. (This needs confirmation as it relies on the assumption that A000203(n) is always bigger than the median of the values A000203(x) from x=1 to x=n.) - _Chayim Lowen_, May 27 2015
%H A007609 T. D. Noe, <a href="/A007609/b007609.txt">Table of n, a(n) for n = 1..10000</a>
%F A007609 a(n) = sigma(A085790(n)). - _Jinyuan Wang_, Apr 15 2020
%p A007609 sort(select(`<=`,map(numtheory:-sigma,[$1..1000]),1001)); # _Robert Israel_, Jun 04 2015
%t A007609 terms = 68; ClearAll[t]; t[k_] := t[k] = Sort[ Table[ DivisorSigma[1, n], {n, 1, k*terms}]][[1 ;; terms]]; t[k = 2]; While[t[k] != t[k-1], k++]; t[k] (* _Jean-François Alcover_, Nov 21 2012 *)
%t A007609 With[{nn=80},Take[Sort[DivisorSigma[1,Range[nn*100]]],nn]] (* _Harvey P. Dale_, Mar 09 2016 *)
%o A007609 (PARI) list(lim)=select(k->k<=lim,Set(apply(sigma,[1..lim\1]))) \\ _Charles R Greathouse IV_, Mar 09 2014
%Y A007609 Cf. A000203, A002191 (duplicates removed), A007368, A085790.
%K A007609 nonn,easy,nice
%O A007609 1,2
%A A007609 _Walter Nissen_