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Search: id:A017711
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| A017711 |
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Numerator of sum of -24 th powers of divisors of n. |
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+0
2
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| 1, 16777217, 282429536482, 281474993487873, 59604644775390626, 2369190810383965297, 191581231380566414402, 4722366764344638701569, 79766443077154939399843, 500000029802322396083921, 9849732675807611094711842
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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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FORMULA
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Dirichlet generating function: zeta(s)*zeta(s+24) [for fraction A017711/A017712]. - Franklin T. Adams-Watters, Sep 11 2005.
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CROSSREFS
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Cf. A017712.
Sequence in context: A017328 A017448 A017580 this_sequence A013972 A036102 A143510
Adjacent sequences: A017708 A017709 A017710 this_sequence A017712 A017713 A017714
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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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