A329646 Inverse Möbius transform of A329643.

0, 0, 0, 1, 0, 2, 0, 3, 1, 2, 0, 9, 0, 2, 2, 9, 0, 7, 0, 10, 2, 2, 0, 27, 1, 2, 1, 21, 0, 17, 0, 15, 2, 2, 2, 36, 0, 2, 2, 36, 0, 23, 0, 23, 5, 2, 0, 61, 1, 4, 2, 51, 0, 23, 2, 51, 2, 2, 0, 70, 0, 2, 0, 45, 2, 42, 0, 87, 2, 25, 0, 90, 0, 2, 1, 261, 2, 44, 0, 70, 5, 2, 0, 117, 2, 2, 2, 97, 0, 55, 2, 231, 2, 2, 2, 143, 0, 7, 17, 49, 0, 100, 0, 189, 3

Offset

1,6

Comments

a(117) = -9 is the first negative term. Of the first 10000 terms, 1441 are negative and 1233 are zero.

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) = Sum_{d|n} A329643(d).

a(n) = A329645(n) - A323244(n).

For all n, a(A000040(n)) = 0, a(A006881(n)) = 2.

Prog

(PARI) A329646(n) = sumdiv(n, d, A329643(d));

Crossrefs

Cf. A006881, A323244, A329643, A329645.

Sequence in context: A275387 A051709 A318326 * A293813 A218585 A279507

Adjacent sequences: A329643 A329644 A329645 * A329647 A329648 A329649

Keyword

sign

Author

Antti Karttunen, Nov 21 2019

Status

approved