A089451 - OEIS

This site is supported by donations to The OEIS Foundation.

A089451

mu(prime(n)-1), where mu is the Moebius function.

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; 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 (benoit7848c(AT)orange.fr), 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 (noe(AT)sspectra.com), Nov 03 2003`

Content is available under The OEIS End-User License Agreement .

Last modified February 15 16:49 EST 2012. Contains 205824 sequences.