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.

A271442 a(n) is the smallest k such that sigma(2,x) = k has exactly n solutions, where sigma(2,x) is the sum of the squares of the divisors of x.

This page as a plain text file.
%I A271442 #6 Apr 20 2016 09:21:47
%S A271442 2,1,50,22100,6409000,32045000,1185665000,11856650000,628402450000,
%T A271442 1169065690000,16338463700000,81692318500000,875993015300000,
%U A271442 1388769414500000,8054862604100000,88701519427300000,443507597136500000,80548626041000000
%N A271442 a(n) is the smallest k such that sigma(2,x) = k has exactly n solutions, where sigma(2,x) is the sum of the squares of the divisors of x.
%C A271442 Does a(n) exist for every n?
%H A271442 Giovanni Resta, <a href="/A271442/a271442.txt">Table of solutions corresponding to a(n), for n=0..17</a>
%e A271442 a(3) = 22100 because there are exactly 3 values x (120, 130, and 141) such that sigma(2,x) = 22100, and this property does not hold for any number smaller than 22100.
%t A271442 t=Gather@ Sort@ DivisorSigma[2, Range@ 800000]; Join[{2}, Table[ Select[t, k == Length@ # &, 1][[1, 1]], {k, 8}]]
%Y A271442 Cf. A001157, A007368.
%K A271442 nonn
%O A271442 0,1
%A A271442 _Giovanni Resta_, Apr 20 2016