This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

ContinuedFraction

 ContinuedFraction[x, n]generates a list of the first n terms in the continued fraction representation of x. generates a list of all terms that can be obtained given the precision of x.
• The continued fraction representation {a1, a2, a3, ...} corresponds to the expression a1+1/(a2+1/(a3+...)).
• x can be either an exact or an inexact number.
• For exact numbers, can be used if x is rational, or is a quadratic irrational.
• For quadratic irrationals, returns a result of the form {a1, a2, ..., {b1, b2, ...}}, corresponding to an infinite sequence of terms, starting with the ai, and followed by cyclic repetitions of the bi.  »
• Since the continued fraction representation for a rational number has only a limited number of terms, ContinuedFraction[x, n] may yield a list with less than n elements in this case.
• For terminating continued fractions, {..., k} is always equivalent to {..., k-1, 1}; ContinuedFraction returns the first of these forms.
20 terms in the continued fraction for :
 Out[1]=
 Scope   (2)
 Applications   (3)
New in 4