A344864 a(n) = mu(d(n)).

1, -1, -1, -1, -1, 0, -1, 0, -1, 0, -1, 1, -1, 0, 0, -1, -1, 1, -1, 1, 0, 0, -1, 0, -1, 0, 0, 1, -1, 0, -1, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, -1, 1, 1, 0, -1, 1, -1, 1, 0, 1, -1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, -1, 0, 0, -1, 1, 0, 0, -1, 0, -1, 0, 1, 1, 0, 0, -1, 1, -1, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -1, 1, 1, 0

Offset

1

Comments

If p is prime, a(p) = mu(d(p)) = mu(2) = -1.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) = A008683(A000005(n)).

Example

a(6) = mu(d(6)) = mu(4) = 0.

Mathematica

Table[MoebiusMu[DivisorSigma[0, n]], {n, 100}]

Prog

(PARI) a(n) = moebius(numdiv(n)); \\ Amiram Eldar, May 28 2025

Crossrefs

Cf. A000005 (tau), A008683 (mu).

Sequence in context: A122895 A333248 A114592 * A140653 A391183 A342892

Adjacent sequences: A344861 A344862 A344863 * A344865 A344866 A344867

Keyword

sign,easy

Author

Wesley Ivan Hurt, May 31 2021

Status

approved