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Search: id:A017687
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| A017687 |
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Numerator of sum of -12 th powers of divisors of n. |
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+0
2
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| 1, 4097, 531442, 16781313, 244140626, 1088658937, 13841287202, 68736258049, 282430067923, 500122072361, 3138428376722, 1486382423891, 23298085122482, 28353876833297, 129746582562692, 281543712968705
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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. A017688.
Sequence in context: A017556 A044887 A031652 this_sequence A013960 A036090 A123094
Adjacent sequences: A017684 A017685 A017686 this_sequence A017688 A017689 A017690
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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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