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.
%I A353785 #7 May 08 2022 19:50:45 %S A353785 1,1,2,1,1,2,4,1,1,1,2,2,1,4,2,1,3,1,2,1,4,2,4,2,1,1,4,4,1,2,16,3,2,3, %T A353785 4,1,1,2,2,1,1,4,2,2,1,4,8,2,1,1,6,1,9,4,2,4,2,1,2,2,1,16,4,1,1,2,2,3, %U A353785 4,4,12,1,1,1,2,2,4,2,8,1,11,1,2,4,3,2,2,2,3,1,4,4,16,8,2,6,7,1,2,1,1,6,4,1,4 %N A353785 a(n) = A353783(n) / A080398(n). %H A353785 Michael De Vlieger, <a href="/A353785/b353785.txt">Table of n, a(n) for n = 1..10000</a> %H A353785 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %F A353785 a(n) = A353783(n) / A080398(n). %t A353785 Array[Apply[LCM, DivisorSigma[1, Power @@@ FactorInteger[#]]]/Apply[Times, FactorInteger[DivisorSigma[1, #]][[All, 1]]] &, 105] (* _Michael De Vlieger_, May 08 2022 *) %o A353785 (PARI) %o A353785 A080398(n) = factorback(factor(sigma(n))[, 1]); %o A353785 A353783(n) = { my(f=factor(n)~); lcm(vector(#f, i, sigma(f[1, i]^f[2, i]))); }; %o A353785 A353785(n) = (A353783(n) / A080398(n)); %Y A353785 Cf. A000203, A080398, A353783. %K A353785 nonn %O A353785 1,3 %A A353785 _Antti Karttunen_, May 08 2022