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A017710 Denominator of sum of -23 th powers of divisors of n. 1
1, 8388608, 94143178827, 70368744177664, 11920928955078125, 65810851921133568, 27368747340080916343, 590295810358705651712, 8862938119652501095929, 50000000000000000000000, 895430243255237372246531 (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. A017709.

Sequence in context: A098809 A011573 A022539 * A010811 A017709 A013971

Adjacent sequences:  A017707 A017708 A017709 * A017711 A017712 A017713

KEYWORD

nonn,frac

AUTHOR

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

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Last modified February 16 08:13 EST 2012. Contains 205893 sequences.