|
| |
|
|
A043300
|
|
Denominator of L(n)=sum(k=1,n,k^n)/sum(k=1,n-1,k^n).
|
|
1
| |
|
|
1, 1, 49, 52, 20515, 7689, 1976849, 769072, 196573677, 1176564625, 2252928456427, 915495729492, 116920050750711, 202297407264253, 1206847874699507489, 1507470694179701824, 6945343389873635897155
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 2,3
|
|
|
COMMENTS
| L(n) has the amazing asymptotic development L(n)= e+ c(1)/n+c(2)/n^2+c(3)/n^3+... with c(1)=e(e+1)/2/(e-1) c(2)=e(11*e^3+3*e^2-51*e-11)/24/(e-1)^3 etc.where e =exp(1)
|
|
|
REFERENCES
| "A sequence convergent to Napier's Constant" by Alexandru Lupas from the University "Lucian Blaga" of Sibiu / e-mail: lupas(AT)jupiter.sibiu.ro
|
|
|
CROSSREFS
| Cf. A043299.
Sequence in context: A042199 A020276 A118073 * A140388 A044863 A162527
Adjacent sequences: A043297 A043298 A043299 * A043301 A043302 A043303
|
|
|
KEYWORD
| easy,frac,nonn
|
|
|
AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 04 2002
|
| |
|
|
