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Search: id:A017679
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| A017679 |
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Numerator of sum of -8 th powers of divisors of n. |
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+0
2
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| 1, 257, 6562, 65793, 390626, 843217, 5764802, 16843009, 43053283, 50195441, 214358882, 71955611, 815730722, 740777057, 2563287812, 4311810305, 6975757442, 11064693731, 16983563042, 12850228209
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OFFSET
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1,2
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COMMENT
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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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CROSSREFS
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Cf. A017680.
Adjacent sequences: A017676 A017677 A017678 this_sequence A017680 A017681 A017682
Sequence in context: A031604 A125648 A034682 this_sequence A013956 A036086 A000542
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KEYWORD
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nonn,frac
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AUTHOR
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njas
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