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A017672 Denominator of sum of -4 th powers of divisors of n. +0
2
1, 16, 81, 256, 625, 648, 2401, 4096, 6561, 5000, 14641, 3456, 28561, 19208, 50625, 65536, 83521, 104976, 130321, 80000, 194481, 117128, 279841, 165888, 390625, 228488, 531441, 43904, 707281, 202500 (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. A017671.

Sequence in context: A041490 A096020 A016898 this_sequence A055013 A080150 A000583

Adjacent sequences: A017669 A017670 A017671 this_sequence A017673 A017674 A017675

KEYWORD

nonn,frac

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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