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A160895 Sum_{d|n} Moebius(n/d)*d^(b-1)/phi(n) for b = 7. 7
1, 63, 364, 2016, 3906, 22932, 19608, 64512, 88452, 246078, 177156, 733824, 402234, 1235304, 1421784, 2064384, 1508598, 5572476, 2613660, 7874496, 7137312, 11160828, 6728904, 23482368, 12206250, 25340742, 21493836, 39529728, 21243690 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

J. H. Kwak and J. Lee, Enumeration of graph coverings, surface branched coverings and related group theory, in Combinatorial and Computational Mathematics (Pohang, 2000), ed. S. Hong et al., World Scientific, Singapore 2001, pp. 97-161. See p. 134.

LINKS

Enrique Pérez Herrero, Table of n, a(n) for n = 1..5000

FORMULA

a(n)=J_6(n)/J_1(n)=J_6(n)/phi(n)=A069091(n)/A000010(n), where J_k is the k-th Jordan Totient Function [From Enrique Pérez Herrero, Oct 20 2010]

Multiplicative with a(p^e) = p^(5e-5)*(1+p+p^2+p^3+p^4+p^5). - R. J. Mathar, Jul 10 2011

MAPLE

A160895 := proc(n) a := 1 ; for f in ifactors(n)[2] do p := op(1, f) ; e := op(2, f) ; a := a*p^(5*e-5)*(1+p+p^2+p^3+p^4+p^5) ; end do; a; end proc: # R. J. Mathar, Jul 10 2011

MATHEMATICA

A160895[n_]:=DivisorSum[n, MoebiusMu[n/# ]*#^(7-1)/EulerPhi[n]&] [From Enrique Pérez Herrero, Oct 20 2010]

CROSSREFS

Cf. A000010, A007434, A059376, A059377, A059378, A069091, A069092, A069093, A069094, A069095, A001615, A160889, A160891, A160893, A160897, A160908, A160960, A160972, A161010, A161025, A161139, A161167, A161213, A065958, A065959, A065960 [From Enrique Pérez Herrero, Oct 20 2010]

Sequence in context: A204736 A160674 A034817 * A203556 A038993 A068022

Adjacent sequences:  A160892 A160893 A160894 * A160896 A160897 A160898

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Nov 19 2009

EXTENSIONS

Definition corrected by Enrique Pérez Herrero, Oct 20 2010

STATUS

approved

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Last modified October 31 14:42 EDT 2014. Contains 248868 sequences.