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 A373369 #10 Jun 05 2024 14:49:53 %S A373369 0,1,1,2,1,1,1,3,2,1,1,1,1,1,2,4,1,1,1,3,2,1,1,1,2,1,3,1,1,1,1,5,2,1, %T A373369 2,2,1,1,2,1,1,3,1,3,1,1,1,1,2,3,2,1,1,1,2,1,2,1,1,4,1,1,1,6,2,1,1,3, %U A373369 2,1,1,1,1,1,1,1,2,3,1,1,4,1,1,2,2,1,2,1,1,1,2,3,2,1,2,1,1,1,1,2,1,1,1,1,3 %N A373369 a(n) = gcd(A001414(n), A059975(n)), where A001414 and A059975 are fully additive with a(p) = p and a(p) = p-1, respectively. %H A373369 Antti Karttunen, <a href="/A373369/b373369.txt">Table of n, a(n) for n = 1..65537</a> %o A373369 (PARI) %o A373369 A001414(n) = ((n=factor(n))[, 1]~*n[, 2]); %o A373369 A059975(n) = {my(f = factor(n)); sum(i = 1, #f~, f[i, 2]*(f[i, 1] - 1)); }; %o A373369 A373369(n) = gcd(A001414(n), A059975(n)); %Y A373369 Cf. A001414, A059975, A345452 (positions of even terms). %Y A373369 Cf. also A082299, A306709, A373362, A373363, A373364, A373365. %K A373369 nonn %O A373369 1,4 %A A373369 _Antti Karttunen_, Jun 05 2024