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A017697 Numerator of sum of -17 th powers of divisors of n. 1
1, 131073, 129140164, 17180000257, 762939453126, 1410565726331, 232630513987208, 2251816993685505, 16677181828806733, 50000381469792099, 505447028499293772, 554657012677255537, 8650415919381337934 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

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. A017698.

Sequence in context: A017698 A010805 A138032 * A013965 A036095 A187939

Adjacent sequences:  A017694 A017695 A017696 * A017698 A017699 A017700

KEYWORD

nonn,frac

AUTHOR

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

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Last modified February 16 01:31 EST 2012. Contains 205860 sequences.