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 A353767 #8 May 10 2022 16:40:22 %S A353767 1,2,2,12,4,8,4,16,30,16,6,24,6,16,16,110,8,60,8,48,24,24,8,64,36,24, %T A353767 48,48,16,64,18,144,24,32,32,360,12,32,36,128,20,96,16,72,120,32,18, %U A353767 220,108,72,32,72,16,192,48,128,48,64,30,192,32,72,120,1092,48,96,24,96,48,128,36,480,32,48,108,96,48,144 %N A353767 a(n) = phi(sigma(A003961(n))), where A003961 is fully multiplicative with a(p) = nextprime(p). %H A353767 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a> %H A353767 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %F A353767 a(n) = A000010(A003973(n)) = A062401(A003961(n)) = A000010(A000203(A003961(n))). %F A353767 a(n) = A353790(n) / A326042(n). %t A353767 f[p_, e_] := NextPrime[p]^e; s[1] = 1; s[n_] := Times @@ f @@@ FactorInteger[n]; a[n_] := EulerPhi[DivisorSigma[1, s[n]]]; Array[a, 100] (* _Amiram Eldar_, May 10 2022 *) %o A353767 (PARI) %o A353767 A003961(n) = { my(f = factor(n)); for(i=1, #f~, f[i, 1] = nextprime(f[i, 1]+1)); factorback(f); }; %o A353767 A353767(n) = eulerphi(sigma(A003961(n))); %Y A353767 Cf. A000010, A000203, A003961, A003973, A062401, A326042, A353790. %K A353767 nonn %O A353767 1,2 %A A353767 _Antti Karttunen_, May 10 2022