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Search: id:A043300
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| A043300 |
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Denominator of L(n)=sum(k=1,n,k^n)/sum(k=1,n-1,k^n). |
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+0
2
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| 1, 1, 49, 52, 20515, 7689, 1976849, 769072, 196573677, 1176564625, 2252928456427, 915495729492, 116920050750711, 202297407264253, 1206847874699507489, 1507470694179701824, 6945343389873635897155
(list; graph; listen)
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OFFSET
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2,3
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COMMENT
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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)
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REFERENCES
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"A sequence convergent to Napier's Constant" by Alexandru Lupas from the University "Lucian Blaga" of Sibiu / e-mail: lupas(AT)jupiter.sibiu.ro
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CROSSREFS
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Cf. A043299.
Sequence in context: A042199 A020276 A118073 this_sequence A140388 A044863 A162527
Adjacent sequences: A043297 A043298 A043299 this_sequence A043301 A043302 A043303
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KEYWORD
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easy,frac,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 04 2002
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