New sequences

[Tautócrona]

Hi:

I was wondering which numbers could be the ones coming from the continued fractions of the 
primes. I got:

Simple continued fraction:
[0,2,3,5,...,19] = 0.4323320871859025970563837017
( 1/(2+1/(3+1/(5+...)...) )
General continued fraction I:
[0,2,3,5,...,43] = 0.5492171239377731435910913301
( 2/(3+5/(7+...)...) )
General continued fraction II:
[0,1,2,3...,41] = 0.3943175562539635133683360441
( 1/(2+3/(5+...)...) )

The first one is in the OEIS (it is A084255); the other two are not. I suggest we add them 
as new sequences, relate them to A084255 and specify on it that it's the _simple_ 
continued fraction (it only says "continued fraction").

I'd do it myself, but I don't know how to automate the calculus of the continued fraction 
in Pari-GP (it would be easier if I knew how to make forprime to run backwards) and doing 
it "by hand" is a bit nasty if we want to fill three or four lines of accurate digits in 
the OEIS.

Anyone doesn't mind to lend me a hand?

Regards. Jose Brox
http://espanol.groups.yahoo.com/group/Telecomunicacion/
ambroxius at terra.es
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