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Search: id:A166586
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| A166586 |
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Totally multiplicative sequence with a(p) = p-2 for prime p. |
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+0
17
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| 1, 0, 1, 0, 3, 0, 5, 0, 1, 0, 9, 0, 11, 0, 3, 0, 15, 0, 17, 0, 5, 0, 21, 0, 9, 0, 1, 0, 27, 0, 29, 0, 9, 0, 15, 0, 35, 0, 11, 0, 39, 0, 41, 0, 3, 0, 45, 0, 25, 0
(list; graph; listen)
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OFFSET
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1,5
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FORMULA
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Multiplicative with a(p^e) = (p-2)^e. If n = Product p(k)^e(k) then a(n) = Product (p(k)-2)^e(k). a(2k) = 0 for k >= 1.
a(n)=|Sum(d divides n, phi(n)*mu(n))|, where mu(n) is A008683, and phi(n) is A000010 [From Barbarel Tres Mil (barbarel3000(AT)yahoo.es), Nov 14 2009]
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MATHEMATICA
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A166586[n_Integer] := Abs[DivisorSum[n, MoebiusMu[ # ]*EulerPhi[ # ] &]] [From Barbarel Tres Mil (barbarel3000(AT)yahoo.es), Nov 14 2009]
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CROSSREFS
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Sequence in context: A136599 A131986 A002656 this_sequence A122274 A003966 A123931
Adjacent sequences: A166583 A166584 A166585 this_sequence A166587 A166588 A166589
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KEYWORD
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nonn,new
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AUTHOR
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Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Oct 17 2009
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