|
Search: id:A017672
|
|
|
| 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).
|
|
|
Search completed in 0.002 seconds
|