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A160897
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Sum_{d|n} Moebius(n/d)*d^(b-1)/phi(n) for b = 8.
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8
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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
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history;
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OFFSET
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1,2
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REFERENCES
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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.
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LINKS
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Enrique Pérez Herrero, Table of n, a(n) for n = 1..5000
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FORMULA
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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]
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MATHEMATICA
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A160897[n_]:=DivisorSum[n, MoebiusMu[n/# ]*#^(8 - 1)/EulerPhi[n] &] [From Enrique Pérez Herrero, Oct 27 2010]
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CROSSREFS
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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
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KEYWORD
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nonn,mult
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AUTHOR
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N. J. A. Sloane, Nov 19 2009
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EXTENSIONS
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Definition corrected by Enrique Pérez Herrero, Oct 27 2010
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STATUS
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approved
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