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A017676 Denominator of sum of -6 th powers of divisors of n. +0
2
1, 64, 729, 4096, 15625, 23328, 117649, 262144, 531441, 100000, 1771561, 497664, 4826809, 3764768, 2278125, 16777216, 24137569, 34012224, 47045881, 32000000, 85766121, 56689952, 148035889 (list; graph; listen)
OFFSET

1,2

COMMENT

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.

CROSSREFS

Cf. A017675.

Sequence in context: A048392 A074471 A016899 this_sequence A055015 A001014 A050753

Adjacent sequences: A017673 A017674 A017675 this_sequence A017677 A017678 A017679

KEYWORD

nonn,frac

AUTHOR

njas

page 1

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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