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A089451 mu(prime(n)-1), where mu is the Moebius function. 7
1, -1, 0, 1, 1, 0, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 1, 0, -1, -1, 0, -1, 1, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, -1, -1, 0, 0, 0, 1, 1, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 0, -1, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Note that A049092 lists prime(n) such that a(n) = 0. Similarly, A078330 lists prime(n) such that a(n) = -1. See A088179 for prime(n) such that a(n) = 1. Also note that a(n) = A088144(n) mod prime(n).

LINKS

Table of n, a(n) for n=1..116.

Ed Pegg, Jr., Moebius Function (and squarefree numbers)

Eric Weisstein's World of Mathematics, Moebius Function

FORMULA

a(n)=A067460(n)-1 - Benoit Cloitre, Nov 04 2003

MATHEMATICA

Table[MoebiusMu[Prime[n]-1], {n, 150}]

PROG

(PARI) a(n)=moebius(prime(n)-1)

CROSSREFS

Cf. A089495 (mu(p+1) for prime p), A089496 (mu(p+1)+mu(p-1) for prime p), A089497 (mu(p+1)-mu(p-1) for prime p).

Sequence in context: A128432 A195198 A039966 * A145099 A070886 A041004

Adjacent sequences:  A089448 A089449 A089450 * A089452 A089453 A089454

KEYWORD

sign

AUTHOR

T. D. Noe, Nov 03 2003

STATUS

approved

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Last modified January 17 09:45 EST 2018. Contains 297815 sequences.