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A053825
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Dirichlet inverse of sigma_3 function (A001158).
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4
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1, -9, -28, 8, -126, 252, -344, 0, 27, 1134, -1332, -224, -2198, 3096, 3528, 0, -4914, -243, -6860, -1008, 9632, 11988, -12168, 0, 125, 19782, 0, -2752, -24390, -31752, -29792, 0, 37296, 44226, 43344, 216, -50654, 61740, 61544, 0, -68922, -86688
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| sigma_3(n) is the sum of the cubes of the divisors of n (A001158).
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REFERENCES
| T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 39.
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FORMULA
| Dirichlet g.f.: 1/(zeta(x)zeta(x-3))
Multiplicative with a(p^1) = -1-p^3, a(p^2) = p^3, a(p^e) = 0 for e>=3. Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
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CROSSREFS
| Sequence in context: A124396 A020281 A075539 * A033479 A034116 A031454
Adjacent sequences: A053822 A053823 A053824 * A053826 A053827 A053828
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KEYWORD
| sign,mult
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000
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