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 A353666 #11 May 07 2022 16:33:41 %S A353666 1,1,1,1,1,2,1,1,1,2,1,4,1,2,3,1,1,1,1,2,1,2,1,4,1,2,1,28,1,2,1,1,3,2, %T A353666 1,1,1,2,1,10,1,2,1,4,3,2,1,4,1,1,3,2,1,2,1,8,1,2,1,4,1,2,1,1,1,2,1,2, %U A353666 3,2,1,1,1,2,1,4,1,2,1,2,1,2,1,28,1,2,3,4,1,2,7,4,1,2,5,4,1,1,3,1,1,2,1,2,3 %N A353666 a(n) = gcd(n, A351546(n)). %H A353666 Antti Karttunen, <a href="/A353666/b353666.txt">Table of n, a(n) for n = 1..65537</a> %H A353666 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a> %H A353666 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %F A353666 a(n) = gcd(n, A351546(n)). %F A353666 a(n) = n / A353667(n) = A351546(n) / A353668(n). %o A353666 (PARI) %o A353666 A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; %o A353666 A351546(n) = { my(f=factor(sigma(n)), u=A003961(n)); prod(k=1, #f~, f[k, 1]^((0!=(u%f[k, 1]))*f[k, 2])); }; %o A353666 A353666(n) = gcd(n, A351546(n)); %Y A353666 Cf. A351546, A353667, A353668. %Y A353666 Differs from A353688 for the first time at n = 28, 30, 40, 60, 66, 84, 90, 102, 120, ... %K A353666 nonn %O A353666 1,6 %A A353666 _Antti Karttunen_, May 04 2022