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

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

Offset: 1

Author

Antti Karttunen, Mar 13 2019

Keywords

• nonn

Comments

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

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000 (based on Hans Havermann's factorization of A156552)
• Index entries for sequences related to binary expansion of n
• Index entries for sequences computed from indices in prime factorization
• Index entries for sequences related to sigma(n)

Crossrefs

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

Programs

PARI

A324714(n) = bitxor(A324712(n), A297106(n));

PARI

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