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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 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 August 18 14:30 EDT 2018. Contains 313832 sequences. (Running on oeis4.)