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A017696
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Denominator of sum of -16th powers of divisors of n.
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3
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1, 65536, 43046721, 4294967296, 152587890625, 1410554953728, 33232930569601, 281474976710656, 1853020188851841, 5000000000000000, 45949729863572161, 30814043149172736, 665416609183179841
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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[16, n]/n^16], {n, 1, 20}] (* G. C. Greubel, Nov 05 2018 *)
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PROG
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(PARI) vector(20, n, denominator(sigma(n, 16)/n^16)) \\ G. C. Greubel, Nov 05 2018
(Magma) [Denominator(DivisorSigma(16, n)/n^16): n in [1..20]]; // G. C. Greubel, Nov 05 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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