id:A162511 - OEIS Search Results

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Multiplicative function with a(p^e)=(-1)^(e-1)

+0
6

1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, 1, -1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(A162644(n)) = +1; a(A162645(n)) = -1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 08 2009]`
	LINKS	`G. P. Michon, Multiplicative functions`
	FORMULA	`Multiplicative function with a(p^e)=(-1)^(e-1) for any prime p and any positive exponent e.` `a(n) = (-1)^(A001222(n)-A001221(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 08 2009]`
	EXAMPLE	`a(n)=1 when n is a squarefree number (A005117).`
	CROSSREFS	`CF. A076479, A162510, A162512` `CF. A002035, A072587, A036537, A162643, A046660. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 08 2009]` `Sequence in context: A155040 A033999 A057077 this_sequence A157895 A063747 A077008` `Adjacent sequences: A162508 A162509 A162510 this_sequence A162512 A162513 A162514`
	KEYWORD	`easy,mult,sign`
	AUTHOR	`Gerard P. Michon (g.michon(AT)att.net), Jul 05 2009`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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