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 A324713 #15 Mar 14 2019 17:52:04 %S A324713 0,3,7,2,15,12,31,6,0,31,63,26,127,48,6,6,255,20,511,50,3,114,1023,54, %T A324713 4,214,4,118,2047,10,4095,30,114,434,2,30,8191,768,20,118,16383,108, %U A324713 32767,194,8,1826,65535,110,12,45,504,386,131071,36,19,198,20,3348,262143,122,524287,6834,112,22,246,234,1048575,822,1794,120 %N A324713 a(n) = 2*A156552(n) XOR A323243(n). %C A324713 a(n) is also the cumulative XOR of (2*A297106(d) XOR A324712(d)) over the divisors d of n. %C A324713 It is conjectured that a(n) may obtain value zero only when n is a power of prime, and especially for n > 1, it must be a prime power present in A324201. %H A324713 Antti Karttunen, <a href="/A324713/b324713.txt">Table of n, a(n) for n = 1..10000</a> (based on Hans Havermann's factorization of A156552) %H A324713 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a> %H A324713 <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a> %H A324713 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a> %F A324713 a(n) = 2*A156552(n) XOR A323243(n). %F A324713 a(n) = XORsum_{d|n} (2*A297106(d) XOR A324712(d)). %o A324713 (PARI) A324713(n) = { my(x=0,s=0); fordiv(n,d,x = bitxor(x,A324712(d)); s = bitxor(s,A297106(d))); bitxor(x,2*s); }; %Y A324713 Cf. A003987, A156552, A297106, A323243, A323244, A324201, A324712, A324714. %K A324713 nonn %O A324713 1,2 %A A324713 _Antti Karttunen_, Mar 13 2019