A372706 a(n) = Sum_{k=1..n} mu(n*k), where mu is the Moebius function A008683.

1, -1, 0, 0, 1, 0, 1, 0, 0, -1, 1, 0, 2, -3, -2, 0, 1, 0, 2, 0, -4, -3, 1, 0, 0, -4, 0, 0, 1, 6, 3, 0, -5, -5, -3, 0, 1, -5, -3, 0, 0, 9, 2, 0, 0, -6, 2, 0, 0, 0, -5, 0, 2, 0, -5, 0, -5, -5, 0, 0, 1, -7, 0, 0, -4, 12, 1, 0, -5, 10, 2, 0, 3, -8, 0, 0, -4, 14, 3, 0, 0, -8, 3, 0, -7, -8, -5, 0, 1, 0, -4, 0

Offset

1,13

Links

Table of n, a(n) for n=1..92.

Formula

If n is not squarefree, a(n) = 0.

Prog

(PARI) a(n) = sum(k=1, n, moebius(n*k));

Crossrefs

Cf. A002321, A008663, A013929, A372700.

Sequence in context: A343230 A019509 A071484 * A100219 A079757 A071493

Adjacent sequences: A372703 A372704 A372705 * A372707 A372708 A372709

Keyword

sign

Author

Seiichi Manyama, May 10 2024

Status

approved