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A162511
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Multiplicative function with a(p^e)=(-1)^(e-1)
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5
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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; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(A162644(n)) = +1; a(A162645(n)) = -1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 08 2009]
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LINKS
| G. P. Michon, Multiplicative functions
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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]
a(n) = A076479(n) * A008836(n). - R. J. Mathar, Mar 30 2011
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EXAMPLE
| a(n)=1 when n is a squarefree number (A005117).
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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: A076479 A155040 A033999 * A157895 A063747 A077008
Adjacent sequences: A162508 A162509 A162510 * A162512 A162513 A162514
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KEYWORD
| easy,mult,sign
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AUTHOR
| Gerard P. Michon (g.michon(AT)att.net), Jul 05 2009
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