A373926 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

A373926

a(n) = Sum_{d|n} (-1)^phi(d) * mu(n/d).

-1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, -2, 2, 0, -2, 0, 2, 0, 2, -2, -2, 0, 2, 0, 0, 0, 0, -2, 2, 0, 2, 0, -2, 0, -2, 0, 2, 0, -2, 0, 2, 0, 2, -2, 0, 0, 2, 0, 0, 0, -2, -2, 2, 0, -2, 0, -2, 0, 2, 2, 2, 0, 0, 0, -2, 0, 2, -2, -2, 0, 2, 0, 2, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, 2, -2, 0, -2, 0, 2

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Möbius transform of (-1)^phi(n) (which equals -1 if 1 <= n <= 2, and 1 if n >= 3).

LINKS

Table of n, a(n) for n=1..89.

MATHEMATICA

Table[DivisorSum[n, (-1)^EulerPhi[#] MoebiusMu[n/#] &], {n, 100}]

CROSSREFS

Cf. A000010 (phi), A008683 (mu), A373925.

Sequence in context: A171958 A301735 A133625 * A176154 A274718 A028930

Adjacent sequences: A373923 A373924 A373925 * A373927 A373928 A373929

KEYWORD

sign

AUTHOR

Wesley Ivan Hurt, Jun 22 2024

STATUS

approved

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.