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Search: id:A017688
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| A017688 |
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Denominator of sum of -12 th powers of divisors of n. |
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+0
2
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| 1, 4096, 531441, 16777216, 244140625, 1088391168, 13841287201, 68719476736, 282429536481, 500000000000, 3138428376721, 1486016741376, 23298085122481, 28346956187648, 129746337890625, 281474976710656
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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. A017687.
Sequence in context: A066390 A016806 A016902 this_sequence A008456 A030631 A016962
Adjacent sequences: A017685 A017686 A017687 this_sequence A017689 A017690 A017691
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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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