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Search: id:A017684
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| A017684 |
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Denominator of sum of -10 th powers of divisors of n. |
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+0
2
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| 1, 1024, 59049, 1048576, 9765625, 30233088, 282475249, 1073741824, 3486784401, 200000000, 25937424601, 10319560704, 137858491849, 144627327488, 23066015625, 1099511627776, 2015993900449, 3570467226624
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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. A017683.
Sequence in context: A016781 A016805 A016901 this_sequence A008454 A030629 A056587
Adjacent sequences: A017681 A017682 A017683 this_sequence A017685 A017686 A017687
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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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