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A017688 Denominator of sum of -12 th powers of divisors of n. 1
1, 4096, 531441, 16777216, 244140625, 1088391168, 13841287201, 68719476736, 282429536481, 500000000000, 3138428376721, 1486016741376, 23298085122481, 28346956187648, 129746337890625, 281474976710656 (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. A017687.

Sequence in context: A016806 A195660 A016902 * A008456 A030631 A016962

Adjacent sequences:  A017685 A017686 A017687 * A017689 A017690 A017691

KEYWORD

nonn,frac

AUTHOR

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

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Last modified February 13 23:23 EST 2012. Contains 205567 sequences.