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

1,1

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

Formula

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

Prog

(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

Crossrefs

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

Column k = 2 of A144734.

Sequence in context: A288861 A030190 A353471 * A296211 A341642 A123506

Adjacent sequences: A157655 A157656 A157657 * A157659 A157660 A157661

Keyword

sign

Author

Jaroslav Krizek, Mar 03 2009

Extensions

Added more terms, Joerg Arndt, Aug 25 2014

Status

approved