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A017673
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Numerator of sum of -5 th powers of divisors of n.
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2
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1, 33, 244, 1057, 3126, 671, 16808, 33825, 59293, 51579, 161052, 64477, 371294, 69333, 254248, 1082401, 1419858, 652223, 2476100, 1652091, 4101152, 120789, 6436344, 687775, 9768751, 6126351, 14408200, 317251, 20511150, 349591, 28629152, 34636833, 13098896
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OFFSET
| 1,2
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COMMENTS
| Sum_{d|n} 1/d^k is equal to sigma_k(n)/n^k. So sequences A017665-A017712 also give the numerators and denominators of sigma_k(n)/n^k for k = 1..24. The power sums sigma_k(n) are in sequences A000203 (k=1), A001157-A001160 (k=2,3,4,5), A013954-A013972 for k = 6,7,...,24. - comment from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001.
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MATHEMATICA
| A017673[n_Integer] := Numerator[DivisorSigma[-5, n]]; Table[A017673[n], {n, 100}] (* From Vladimir Joseph Stephan Orlovsky, Jul 22 2011 *)
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CROSSREFS
| Cf. A017674.
Sequence in context: A178448 A088703 A034679 * A001160 A184059 A197347
Adjacent sequences: A017670 A017671 A017672 * A017674 A017675 A017676
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KEYWORD
| nonn,frac
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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