A162512 - OEIS

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A162512

Dirichlet inverse of A162511

1, -1, -1, 2, -1, 1, -1, -4, 2, 1, -1, -2, -1, 1, 1, 8, -1, -2, -1, -2, 1, 1, -1, 4, 2, 1, -4, -2, -1, -1, -1, -16, 1, 1, 1, 4, -1, 1, 1, 4, -1, -1, -1, -2, -2, 1, -1, -8, 2, -2, 1, -2, -1, 4, 1, 4, 1, 1, -1, 2, -1, 1, -2, 32, 1, -1, -1, -2, 1, -1, -1, -8, -1, 1, -2, -2, 1, -1, -1, -8, 8, 1 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	COMMENTS	`The absolute value of this sequence is A162510.` `The Moebius function (A008683) can be defined in terms of this sequence: A008683(n) is equal to a(n) if a(n) is odd and zero otherwise.`
	LINKS	`G. P. Michon, Multiplicative functions`
	FORMULA	`Multiplicative function with a(p^e)=-(-2)^(e-1) for any prime p and any positive exponent e.`
	EXAMPLE	`a(n)=n/2 when n is a power of 4 (A000302).` `a(n)=A008683(n) when n is a squarefree number (A005117).`
	CROSSREFS	`Cf. A008683, A076479, A162150, A162511` `Sequence in context: A066441 A173398 A104404 * A162510 A181876 A131505` `Adjacent sequences: A162509 A162510 A162511 * A162513 A162514 A162515`
	KEYWORD	`easy,mult,sign`
	AUTHOR	`Gerard P. Michon (g.michon(AT)att.net), Jul 05 2009, Jul 06 2009`

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Last modified February 13 09:25 EST 2012. Contains 205451 sequences.