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 A373843 #4 Jun 20 2024 11:12:25 %S A373843 1,2,1,1,5,1,1,1,1,1,1,4,1,1,3,4,1,1,19,4,1,1,1,1,1,1,1,4,1,6,1,1,3,2, %T A373843 5,1,1,1,1,2,1,14,1,4,1,2,47,1,1,1,1,4,1,1,5,14,1,2,1,1,1,1,1,1,5,2,1, %U A373843 4,1,1,1,1,1,1,3,4,1,3,79,1,3,1,1,1,5,1,1,2,1,1,1,4,1,2,1,1,1,1,1,1,1,6,1,1,21 %N A373843 a(n) = gcd(n, A003415(A276085(n))), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. %F A373843 a(n) = gcd(n, A373842(n)). %o A373843 (PARI) %o A373843 A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); %o A373843 A276085(n) = { my(f = factor(n)); sum(k=1, #f~, f[k, 2]*prod(i=1,primepi(f[k, 1]-1),prime(i))); }; %o A373843 A373843(n) = gcd(n, A003415(A276085(n))); %Y A373843 Cf. A003415, A276085, A373842. %Y A373843 Cf. also A327858 [= a(A276086(n))]. %K A373843 nonn %O A373843 1,2 %A A373843 _Antti Karttunen_, Jun 20 2024