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A017690
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Denominator of sum of -13 th powers of divisors of n.
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1
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1, 8192, 1594323, 67108864, 1220703125, 1088391168, 96889010407, 549755813888, 2541865828329, 5000000000000, 34522712143931, 26748301344768, 302875106592253, 99214346656768, 648731689453125
(list; graph; refs; listen; history; internal format)
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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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CROSSREFS
| Cf. A017689.
Sequence in context: A069414 A069274 A195661 * A010801 A138031 A035908
Adjacent sequences: A017687 A017688 A017689 * A017691 A017692 A017693
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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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