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A324714 a(n) = A297106(n) XOR A324712(n). 5

%I #14 Mar 15 2019 05:14:16

%S 0,0,1,7,3,2,7,8,11,7,15,3,31,4,26,24,63,11,127,4,51,30,255,0,19,10,

%T 28,23,511,40,1023,40,26,14,58,52,2047,124,204,16,4095,48,8191,17,33,

%U 478,16383,8,35,17,64,21,32767,28,115,20,876,232,65535,50,131071,334,36,104,38,45,262143,5,506,62,524287,68,1048575,1786,59

%N a(n) = A297106(n) XOR A324712(n).

%C a(n) is also the XOR-Moebius transform of (A156552(d) XOR A323243(d)). See A295901 for the properties of that transform.

%H Antti Karttunen, <a href="/A324714/b324714.txt">Table of n, a(n) for n = 1..10000</a> (based on Hans Havermann's factorization of A156552)

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%o (PARI) A324714(n) = bitxor(A324712(n), A297106(n));

%o (PARI) A324714(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, bitxor(A323243(d),A156552(d))))); (v); }

%Y Cf. A156552, A295901, A297106, A323243, A324712, A324713.

%K nonn

%O 1,4

%A _Antti Karttunen_, Mar 13 2019

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Last modified August 24 09:00 EDT 2024. Contains 375409 sequences. (Running on oeis4.)