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A053822
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Dirichlet inverse of sigma_2 function (A001157).
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2
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1, -5, -10, 4, -26, 50, -50, 0, 9, 130, -122, -40, -170, 250, 260, 0, -290, -45, -362, -104, 500, 610, -530, 0, 25, 850, 0, -200, -842, -1300, -962, 0, 1220, 1450, 1300, 36, -1370, 1810, 1700, 0, -1682, -2500, -1850, -488, -234, 2650, -2210, 0, 49, -125, 2900, -680
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| sigma_2(n) is the sum of the squares of the divisors of n (A001157).
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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-2))
Multiplicative with a(p^1) = -1-p^2, a(p^2) = p^2, 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: A084341 A054513 A066200 * A137404 A110643 A010721
Adjacent sequences: A053819 A053820 A053821 * A053823 A053824 A053825
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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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