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A017673 Numerator of sum of -5 th powers of divisors of n. +0
2
1, 33, 244, 1057, 3126, 671, 16808, 33825, 59293, 51579, 161052, 64477, 371294, 69333, 254248, 1082401, 1419858, 652223, 2476100, 1652091, 4101152, 120789, 6436344, 687775, 9768751, 6126351 (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. A017674.

Adjacent sequences: A017670 A017671 A017672 this_sequence A017674 A017675 A017676

Sequence in context: A075040 A088703 A034679 this_sequence A001160 A061223 A119782

KEYWORD

nonn,frac

AUTHOR

njas

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Last modified October 11 13:47 EDT 2008. Contains 144830 sequences.


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