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Search: id:A017676
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| A017676 |
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Denominator of sum of -6 th powers of divisors of n. |
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+0 2
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| 1, 64, 729, 4096, 15625, 23328, 117649, 262144, 531441, 100000, 1771561, 497664, 4826809, 3764768, 2278125, 16777216, 24137569, 34012224, 47045881, 32000000, 85766121, 56689952, 148035889
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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. A017675.
Sequence in context: A048392 A074471 A016899 this_sequence A055015 A001014 A050753
Adjacent sequences: A017673 A017674 A017675 this_sequence A017677 A017678 A017679
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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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