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A085639 Ramanujan sum c_5(n). +0
2
1, -1, -1, 0, 4, 1, -1, 0, 0, -4, -1, 0, -1, 1, -4, 0, -1, 0, -1, 0, 1, 1, -1, 0, -5, 1, 0, 0, -1, 4, -1, 0, 1, 1, -4, 0, -1, 1, 1, 0, -1, -1, -1, 0, 0, 1, -1, 0, 0, 5, 1, 0, -1, 0, -4, 0, 1, 1, -1, 0, -1, 1, 0, 0, -4, -1, -1, 0, 1, 4, -1, 0, -1, 1, 5, 0, 1, -1, -1, 0, 0, 1, -1, 0, -4, 1, 1, 0, -1 (list; graph; listen)
OFFSET

1,5

REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976.

FORMULA

a(n) = phi(n)*mu(n/gcd(n, 5)) / phi(n/gcd(n, 5)).

MATHEMATICA

a[n_] := EulerPhi[n] * MoebiusMu[n/GCD[n, 5]] / EulerPhi[n/GCD[n, 5]]; Table[ a[n], {n, 1, 105}]

PROGRAM

(PARI) a(n)=eulerphi(n)*moebius(n/gcd(n, 5))/eulerphi(n/gcd(n, 5))

CROSSREFS

Cf. A085384.

Sequence in context: A069018 A130636 A117414 this_sequence A135302 A128760 A057884

Adjacent sequences: A085636 A085637 A085638 this_sequence A085640 A085641 A085642

KEYWORD

sign,mult

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 15 2003

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com) and Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 17 2003

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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