|
| |
|
|
A017676
|
|
Denominator of sum of -6 th powers of divisors of n.
|
|
2
| |
|
|
1, 64, 729, 4096, 15625, 23328, 117649, 262144, 531441, 100000, 1771561, 497664, 4826809, 3764768, 2278125, 16777216, 24137569, 34012224, 47045881, 32000000, 85766121, 56689952, 148035889, 95551488, 244140625, 11881376, 387420489, 240945152, 594823321
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| 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.
|
|
|
MATHEMATICA
| A017676[n_Integer] := Denominator[DivisorSigma[-6, n]]; A017676 /@ Range[100] (* From Vladimir Joseph Stephan Orlovsky, Jul 22 2011 *)
|
|
|
CROSSREFS
| Cf. A017675.
Sequence in context: A161860 A195249 A016899 * A055015 A001014 A050753
Adjacent sequences: A017673 A017674 A017675 * A017677 A017678 A017679
|
|
|
KEYWORD
| nonn,frac
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
|
| |
|
|
