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A101035 Dirichlet inverse of the gcd-sum function (A018804). +0
4
1, -3, -5, 1, -9, 15, -13, 1, 4, 27, -21, -5, -25, 39, 45, 1, -33, -12, -37, -9, 65, 63, -45, -5, 16, 75, 4, -13, -57, -135, -61, 1, 105, 99, 117, 4, -73, 111, 125, -9, -81, -195, -85, -21, -36, 135, -93, -5, 36, -48, 165, -25, -105, -12, 189, -13, 185, 171, -117, 45, -121, 183, -52, 1, 225, -315, -133, -33, 225, -351, -141, 4 (list; graph; listen)
OFFSET

1,2

LINKS

G. P. Michon, Multiplicative Functions.

FORMULA

Multiplicative function with a(p)=1-2p and a(p^e)=(p-1)^2 when e>1 [p prime].

EXAMPLE

a(4)=1, a(8)=1, a(16)=1, a(32)=1, etc. because of the multiplicative definition for powers of 2.

CROSSREFS

Cf. A018804, A055615, A046692, A023900, A007427, A053822, A053825, A053826.

Cf. A008683.

Sequence in context: A115335 A054586 A112752 this_sequence A026253 A138259 A077021

Adjacent sequences: A101032 A101033 A101034 this_sequence A101036 A101037 A101038

KEYWORD

easy,nice,sign,mult

AUTHOR

Gerard P. Michon (g.michon(AT)att.net), Nov 27 2004

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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