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A017675
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Numerator of sum of (-6)-th powers of divisors of n.
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2
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1, 65, 730, 4161, 15626, 23725, 117650, 266305, 532171, 101569, 1771562, 506255, 4826810, 3823625, 2281396, 17043521, 24137570, 34591115, 47045882, 32509893, 85884500, 57575765, 148035890, 97201325, 244156251, 12067025, 387952660, 244770825, 594823322
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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. - comment from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001.
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LINKS
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Table of n, a(n) for n=1..29.
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MATHEMATICA
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A017675[n_Integer] := Numerator[DivisorSigma[-6, n]]; Table[A017675[n], {n, 100}] (* From Vladimir Joseph Stephan Orlovsky, Jul 22 2011 *)
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CROSSREFS
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Cf. A017676.
Sequence in context: A200890 A088677 A034680 * A013954 A116277 A220389
Adjacent sequences: A017672 A017673 A017674 * A017676 A017677 A017678
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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