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Search: id:A017686
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| A017686 |
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Denominator of sum of -11 th powers of divisors of n. |
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+0
2
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| 1, 2048, 177147, 4194304, 48828125, 30233088, 1977326743, 8589934592, 31381059609, 50000000000, 285311670611, 185752092672, 1792160394037, 506195646208, 2883251953125, 17592186044416, 34271896307633
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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. A017685.
Sequence in context: A069272 A135290 A100629 this_sequence A008455 A079395 A096963
Adjacent sequences: A017683 A017684 A017685 this_sequence A017687 A017688 A017689
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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