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Search: id:A053826
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| 1, -17, -82, 16, -626, 1394, -2402, 0, 81, 10642, -14642, -1312, -28562, 40834, 51332, 0, -83522, -1377, -130322, -10016, 196964, 248914, -279842, 0, 625, 485554, 0, -38432, -707282, -872644, -923522, 0, 1200644, 1419874, 1503652, 1296, -1874162
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OFFSET
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1,2
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COMMENT
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sigma_4(n) is the sum of the 4th powers of the divisors of n (A001159).
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REFERENCES
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T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 39.
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FORMULA
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Dirichlet g.f.: 1/(zeta(x)zeta(x-4))
Multiplicative with a(p^1) = -1-p^4, a(p^2) = p^4, a(p^e) = 0 for e>=3. Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu) Jun 27, 2005.
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CROSSREFS
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Adjacent sequences: A053823 A053824 A053825 this_sequence A053827 A053828 A053829
Sequence in context: A100688 A044204 A044585 this_sequence A088687 A034678 A065960
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KEYWORD
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sign,mult
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 08 2000
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