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A017690
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Denominator of sum of -13th powers of divisors of n.
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3
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1, 8192, 1594323, 67108864, 1220703125, 1088391168, 96889010407, 549755813888, 2541865828329, 5000000000000, 34522712143931, 26748301344768, 302875106592253, 99214346656768, 648731689453125
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OFFSET
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1,2
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COMMENTS
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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. - Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001
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LINKS
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MATHEMATICA
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Table[Denominator[DivisorSigma[13, n]/n^13], {n, 1, 20}] (* G. C. Greubel, Nov 06 2018 *)
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PROG
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(PARI) vector(20, n, denominator(sigma(n, 13)/n^13)) \\ G. C. Greubel, Nov 06 2018
(Magma) [Denominator(DivisorSigma(13, n)/n^13): n in [1..20]]; // G. C. Greubel, Nov 06 2018
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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