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A017698 Denominator of sum of -17 th powers of divisors of n. +0
2
1, 131072, 129140163, 17179869184, 762939453125, 1410554953728, 232630513987207, 2251799813685248, 16677181699666569, 50000000000000000, 505447028499293771, 554652776685109248, 8650415919381337933 (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. A017697.

Sequence in context: A022533 A069392 A069278 this_sequence A010805 A138032 A017697

Adjacent sequences: A017695 A017696 A017697 this_sequence A017699 A017700 A017701

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 6 19:58 EST 2009. Contains 170429 sequences.


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