This is documentation for Mathematica 5, 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. ContinuedFraction[x] generates a list of all terms that can be obtained given the precision of x. The continued fraction representation , , , ... corresponds to the expression . x can be either an exact or an inexact number. Example: ContinuedFraction[Pi, 4] . For exact numbers, ContinuedFraction[x] can be used if x is rational, or is a quadratic irrational. For quadratic irrationals, ContinuedFraction[x] returns a result of the form , , ... , , , ... , corresponding to an infinite sequence of terms, starting with the , and followed by cyclic repetitions of the . 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. FromContinuedFraction[list] reconstructs a number from the result of ContinuedFraction. See Section 3.2.4. Implementation Notes: see Section A.9.4. See also: FromContinuedFraction, IntegerDigits, Rationalize, Khinchin, RealDigits. New in Version 4.