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A017680 Denominator of sum of -8 th powers of divisors of n. 1
1, 256, 6561, 65536, 390625, 839808, 5764801, 16777216, 43046721, 50000000, 214358881, 71663616, 815730721, 737894528, 2562890625, 4294967296, 6975757441, 11019960576, 16983563041, 12800000000 (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. A017679.

Sequence in context: A128698 A203284 A016900 * A001016 A050755 A046457

Adjacent sequences:  A017677 A017678 A017679 * A017681 A017682 A017683

KEYWORD

nonn,frac

AUTHOR

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

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.