|
Search: id:A017697
|
|
|
| A017697 |
|
Numerator of sum of -17 th powers of divisors of n. |
|
+0
2
|
|
| 1, 131073, 129140164, 17180000257, 762939453126, 1410565726331, 232630513987208, 2251816993685505, 16677181828806733, 50000381469792099, 505447028499293772, 554657012677255537, 8650415919381337934
(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. A017698.
Sequence in context: A017698 A010805 A138032 this_sequence A013965 A036095 A068659
Adjacent sequences: A017694 A017695 A017696 this_sequence A017698 A017699 A017700
|
|
KEYWORD
|
nonn,frac
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
