A157658 a(1) = 0, a(n) = -mu(n) for n >= 2.

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

Offset: 1

Author

Jaroslav Krizek, Mar 03 2009

Keywords

• sign

Comments

Except for a(1) the same as A157657.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..5000
• Index entries for sequences computed from exponents in factorization of n

Crossrefs

Cf. A008683, A157657 (same except for a(0)).

Column k = 2 of A144734.

Programs

PARI

a(n)=if(n>1,-moebius(n),0) \\ Charles R Greathouse IV, Dec 19 2011

Scheme

(define (A157658 n) (if (= 1 n) 0 (- (A008683 n)))) ;; Antti Karttunen, Jul 26 2017

Formula

a(n) = A157657(n), n>1. -- R. J. Mathar, Mar 08 2009

Extensions

Added more terms, Joerg Arndt, Aug 25 2014