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A160897 Sum_{d|n} Moebius(n/d)*d^(b-1)/phi(n) for b = 8. 8
1, 127, 1093, 8128, 19531, 138811, 137257, 520192, 796797, 2480437, 1948717, 8883904, 5229043, 17431639, 21347383, 33292288, 25646167, 101193219, 49659541, 158747968, 150021901, 247487059, 154764793, 568569856, 305171875, 664088461 (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_7(n)/J_1(n)=J_7(n)/phi(n)=A069092(n)/A000010(n), where J_k is the k-th Jordan Totient Function [From Enrique Pérez Herrero, Oct 27 2010]

MATHEMATICA

A160897[n_]:=DivisorSum[n, MoebiusMu[n/# ]*#^(8 - 1)/EulerPhi[n] &] [From Enrique Pérez Herrero, Oct 27 2010]

CROSSREFS

Cf. A000010, A007434, A059376, A059377, A059378, A069091, A069092, A069093, A069094, A069095, A001615, A160889, A160891, A160893, A160895, A160908, A160960, A160972, A161010, A161025, A161139, A161167, A161213, A065958, A065959, A065960 [From Enrique Pérez Herrero, Oct 27 2010]

Sequence in context: A196658 A077361 A225148 * A038994 A068023 A194257

Adjacent sequences:  A160894 A160895 A160896 * A160898 A160899 A160900

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Nov 19 2009

EXTENSIONS

Definition corrected by Enrique Pérez Herrero, Oct 27 2010

STATUS

approved

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Last modified November 26 03:51 EST 2014. Contains 250017 sequences.