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Search: id:A017695
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| A017695 |
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Numerator of sum of -16 th powers of divisors of n. |
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+0
2
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| 1, 65537, 43046722, 4295032833, 152587890626, 1410576509857, 33232930569602, 281479271743489, 1853020231898563, 5000076293978081, 45949729863572162, 30814514057170571, 665416609183179842
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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. A017696.
Adjacent sequences: A017692 A017693 A017694 this_sequence A017696 A017697 A017698
Sequence in context: A123388 A070816 A133864 this_sequence A013964 A036094 A133865
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KEYWORD
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nonn,frac
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AUTHOR
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njas
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