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 A339899 #9 Dec 28 2020 17:47:13 %S A339899 1,1,1,1,3,1,1,1,5,1,1,1,1,5,3,1,3,1,1,1,9,1,1,1,1,1,3,1,5,1,9,1,1,1, %T A339899 1,1,1,1,3,1,1,5,1,1,3,1,1,1,1,1,3,1,1,1,3,1,15,1,1,1,3,5,1,1,9,1,1,1, %U A339899 3,1,1,1,1,1,9,1,1,1,3,1,3,1,1,1,27,1,1,1,1,5,3,1,1,1,81,1,1,1,3,1,1,1,9,1,3,1 %N A339899 a(n) = gcd(A019565(2n)-1, A000265(phi(A019565(2n)))). %H A339899 Antti Karttunen, <a href="/A339899/b339899.txt">Table of n, a(n) for n = 0..16384</a> %H A339899 Antti Karttunen, <a href="/A339899/a339899.txt">Data supplement: n, a(n) computed for n = 0..65537</a> %F A339899 a(n) = gcd(A339809(2*n), A339971(n)), where A339971(n) = A053575(A019565(2n)). %F A339899 a(n) = gcd(A339971(n), A339898(n)). %F A339899 a(n) = A339971(n) / A339901(n). %F A339899 a(n) = A000265(A049559(A019565(2*n))). %o A339899 (PARI) %o A339899 A000265(n) = (n>>valuation(n,2)); %o A339899 A019565(n) = { my(m=1, p=1); while(n>0, p = nextprime(1+p); if(n%2, m *= p); n >>= 1); (m); }; %o A339899 A339899(n) = { my(x=A019565(2*n)); gcd((x-1),A000265(eulerphi(x))); }; %Y A339899 Cf. A000010, A000265, A049559, A053575, A019565, A339809, A339821, A339971, A339898, A339901. %K A339899 nonn %O A339899 0,5 %A A339899 _Antti Karttunen_, Dec 28 2020