help needed for correspondent of Oct 9

[Gerald McGarvey]

Regarding the continued fraction for 1/(sqrt(e)-1), see page 14 of
"On the formation of continued fractions" by Leonhard Euler
translated by Jordan Bell from the Latin "De formatione fractionum continuarum"
http://arxiv.org/PS_cache/math/pdf/0508/0508227.pdf
http://arxiv.org/list/math.nt/0508

Euler devoted chapter 18 in 'Introductio in analysin infinitorum: volume I'
to continued fractions. This book is a masterpiece.

Online French translation - Introduction à l'analyse infinitésimale, Liver 
Premier:
http://visualiseur.bnf.fr/Visualiseur?Destination=Gallica&O=NUMM-3884
http://www.math.dartmouth.edu/~euler/pages/E101.html
(use the ' > ' button above the text to go to the next page)

English translation - Introduction to Analysis of the Infinite, Book I :
http://www.amazon.com/exec/obidos/tg/detail/-/0387968245/104-5408216-4171134?v=glance

This web page has a good overview and list of references:
http://mathworld.wolfram.com/ContinuedFraction.html
Eric W. Weisstein 'Continued Fraction' at MathWorld

The book 'Continued Fractions' by Khinchin is good and inexpensive.

- Gerald

At 08:58 PM 10/9/2005, David Harden wrote:
> >   The Inverse Symbolic Calculator suggests 1/(sqrt(e)-1).
> >   I calculated each to 1000 places; they agree that far, anyway.
>
>Ramanujan had some weird continued fraction identities; This (or something 
>very much like it) may have been one of them. Can anyone look up his work 
>for this continued fraction?
>
>---- David