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

1,4

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)

Prog

(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); }

Crossrefs

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

Sequence in context: A298530 A243377 A245532 * A075564 A303670 A135041

Adjacent sequences: A324711 A324712 A324713 * A324715 A324716 A324717

Keyword

nonn

Author

Antti Karttunen, Mar 13 2019

Status

approved