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A324712
Xor-Moebius transform of A323243, where A323243(n) = sigma(A156552(n)).
16
0, 1, 3, 5, 7, 4, 15, 12, 15, 11, 31, 15, 63, 28, 22, 16, 127, 7, 255, 28, 43, 46, 511, 24, 27, 106, 20, 39, 1023, 60, 2047, 56, 42, 206, 34, 44, 4095, 508, 172, 32, 8191, 24, 16383, 113, 57, 734, 32767, 56, 51, 9, 128, 213, 65535, 4, 67, 116, 748, 1768, 131071, 26, 262143, 3406, 20, 72, 70, 125, 524287, 389, 762, 22
OFFSET
1,3
COMMENTS
Properties of Xor-Moebius transform are explained in A295901.
FORMULA
a(n) = A297106(n) XOR A324714(n).
a(A000040(n)) = A000225(n).
PROG
(PARI) A324712(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v, A323243(d)))); (v); } \\ For A323243, see under that entry.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 12 2019
STATUS
approved