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A017684 Denominator of sum of -10 th powers of divisors of n. 1
1, 1024, 59049, 1048576, 9765625, 30233088, 282475249, 1073741824, 3486784401, 200000000, 25937424601, 10319560704, 137858491849, 144627327488, 23066015625, 1099511627776, 2015993900449, 3570467226624 (list; graph; refs; listen; history; text; 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.

LINKS

Table of n, a(n) for n=1..18.

CROSSREFS

Cf. A017683.

Sequence in context: A182682 A195250 A016901 * A008454 A030629 A056587

Adjacent sequences:  A017681 A017682 A017683 * A017685 A017686 A017687

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 24 08:47 EDT 2013. Contains 225617 sequences.