|
Search: id:A043299
|
|
|
| A043299 |
|
Numerator of L(n)=sum(k=1,n,k^n)/sum(k=1,n-1,k^n). |
|
+0
2
|
|
| 5, 4, 177, 177, 67171, 24496, 6171153, 2363395, 596573677, 3534512316, 6710978680555, 2707656123529, 343695700251895, 591536420936128, 3512690883913201441, 4369893745689517617, 20060812748305815088963
(list; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
COMMENT
|
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. A043300.
Sequence in context: A093399 A123233 A128191 this_sequence A144776 A065937 A115144
Adjacent sequences: A043296 A043297 A043298 this_sequence A043300 A043301 A043302
|
|
KEYWORD
|
easy,frac,nonn
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 04 2002
|
|
|
Search completed in 0.002 seconds
|
