# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a353646 Showing 1-1 of 1 %I A353646 #15 May 07 2022 09:42:52 %S A353646 1,2,1,3,1,2,2,2,2,3,2,3,1,4,1,15,3,4,4,3,4,6,4,2,3,1,8,2,2,3,8,9,4,9, %T A353646 2,6,1,8,1,3,3,8,10,6,1,12,8,15,6,3,3,7,9,16,3,4,8,6,8,3,1,16,4,63,1, %U A353646 12,16,9,8,2,12,4,1,1,3,4,8,2,16,15,55,9,12,4,9,20,4,6,3,3,2,12,16,24,4,9,7,18,4,9 %N A353646 a(n) = phi(sigma(n)) / gcd(phi(n), phi(sigma(n))). %C A353646 Numerator of ratio A062401(n) / A000010(n), phi(sigma(n)) / phi(n). %H A353646 Antti Karttunen, Table of n, a(n) for n = 1..16384 %H A353646 Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537 %H A353646 Index entries for sequences related to sigma(n) %F A353646 a(n) = A062401(n) / A353643(n) = A062401(n) / gcd(A062401(n), A353636(n)). %t A353646 a[n_] := (phi = EulerPhi[DivisorSigma[1, n]])/GCD[EulerPhi[n], phi]; Array[a, 100] (* _Amiram Eldar_, May 06 2022 *) %o A353646 (PARI) A353646(n) = { my(ps=eulerphi(sigma(n))); (ps / gcd(eulerphi(n), ps)); }; %Y A353646 Cf. A000010, A000203, A062401, A353636, A353637, A353643, A353644 (denominators). %K A353646 nonn,frac %O A353646 1,2 %A A353646 _Antti Karttunen_, May 06 2022 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE