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Search: id:A017712
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A017712 Denominator of sum of -24 th powers of divisors of n. +0
72
1, 16777216, 282429536481, 281474976710656, 59604644775390625, 2369190669160808448, 191581231380566414401, 4722366482869645213696, 79766443076872509863361, 500000000000000000000000, 9849732675807611094711841 (list; graph; listen)
OFFSET

1,2

COMMENT

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. A017711.

Sequence in context: A017624 A016812 A016908 this_sequence A010812 A016968 A017040

Adjacent sequences: A017709 A017710 A017711 this_sequence A017713 A017714 A017715

KEYWORD

nonn,frac

AUTHOR

njas

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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