A324730 Difference between the binary weight of A323243 and the binary weight of its Xor Moebius transform (negated).

0, 0, 0, 1, 0, -1, 0, 1, 2, 0, 0, 2, 0, 1, 1, -1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 3, 0, 2, -1, 2, -1, 1, 0, 5, 2, -2, 0, -1, 0, 2, 2, 4, 0, 1, 0, -3, -5, 3, 0, -3, -2, 2, 4, 1, 0, 0, 0, 2, -2, -1, -3, 4, 0, 1, 3, 0, 0, 2, 0, 7, 0, 4, -1, 4, 0, 2, 0, 2, 0, 1, 0, 7, 2, 0, 0, 2, 2, 3, 1, 4, 1, -1, 0, -2, 2, 2, 0, 1, 0, 0, 2

Offset

1,9

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)

Formula

a(n) = A324829(n) - A324729(n).

a(p) = 0 for all primes p.

Prog

(PARI)
A324712(n) = { my(v=0); fordiv(n, d, if(issquarefree(n/d), v=bitxor(v,
A323243(d)))); (v); }; \\ Needs also code from A323243.
A324729(n) = hammingweight(A323243(n)); \\ Needs also code from A323243.
A324829(n) = hammingweight(A324712(n));
A324730(n) = (A324829(n) - A324729(n));

Crossrefs

Cf. A000120, A323243, A324712, A324729, A324829.

Sequence in context: A351978 A219491 A305714 * A118683 A175800 A344981

Adjacent sequences: A324727 A324728 A324729 * A324731 A324732 A324733

Keyword

sign

Author

Antti Karttunen, Mar 17 2019

Status

approved