cFrac(n, [terms])

n
Real number or [numerator, denominator]

[terms]
Maximum number of terms to return. If terms is not given, then returns the maximum terms it can calculate up to machine precision.

Description

Calculates the simple continued fraction representation of the given number n.

The result is given as a list, where the first term equals the constant term (a0) and the others the fraction terms (a1, a2, a3, ...).

n = a0 + 1/( a1 + 1/ (a2 + 1/(a3 + .... )))

Examples

cFrac(@pi)
cFrac(sqrt(2), 10)
cFrac(@e, 10)
cFrac(BesselI(1, 2)/BesselI(0, 2))
cFrac(3.245)
cFrac(2.25)

References

http://mathworld.wolfram.com/ContinuedFraction.html
http://en.wikipedia.org/wiki/Continued_fraction

Related Functions

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