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Search: id:A017682
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| A017682 |
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Denominator of sum of -9 th powers of divisors of n. |
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+0
2
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| 1, 512, 19683, 262144, 1953125, 93312, 40353607, 134217728, 387420489, 500000000, 2357947691, 1289945088, 10604499373, 2582630848, 1423828125, 68719476736, 118587876497, 7346640384, 322687697779
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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. A017681.
Sequence in context: A090007 A072369 A140251 this_sequence A001017 A050756 A056586
Adjacent sequences: A017679 A017680 A017681 this_sequence A017683 A017684 A017685
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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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