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.

A241480 Numbers k such that the GCD of the x's that satisfy sigma(x) = sigma(k) is not equal to 1.

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%I A241480 #14 Dec 19 2024 06:15:51
%S A241480 2,3,4,5,7,8,9,12,13,18,19,22,27,29,32,36,37,43,45,48,49,50,61,64,67,
%T A241480 68,72,73,75,80,81,82,91,98,100,101,104,106,109,116,121,122,128,129,
%U A241480 133,134,137,144,146,148,149,152,156,157,160,162,163,169,171,173
%N A241480 Numbers k such that the GCD of the x's that satisfy sigma(x) = sigma(k) is not equal to 1.
%C A241480 Apart from 1, all terms of A211656 belong here since the solutions to sigma(x)=sigma(n) form a singleton and thus their GCD is n itself.
%H A241480 Amiram Eldar, <a href="/A241480/b241480.txt">Table of n, a(n) for n = 1..10000</a>
%H A241480 Max Alekseyev, <a href="https://oeis.org/wiki/User:Max_Alekseyev/gpscripts">PARI/GP Scripts for Miscellaneous Math Problems</a> (invphi.gp).
%F A241480 Numbers k such that A241479(k) is not equal to 1.
%o A241480 (PARI) sigv(n) =  select(i->sigma(i) == n, vector(n, i, i));
%o A241480 isok(n) = (gcd(sigv(sigma(n))) != 1);
%o A241480 (PARI) is(k) = gcd(invsigma(sigma(k))) > 1; \\ _Amiram Eldar_, Dec 19 2024, using _Max Alekseyev_'s invphi.gp
%Y A241480 Cf. A000203, A211656, A241479.
%K A241480 nonn
%O A241480 1,1
%A A241480 _Michel Marcus_, Apr 23 2014