Khinchin's constant
= 2.684542001... (also written "Khintchine's constant") has the amazing property that it is the limiting value of the geometric mean of the partial quotients from a continued fraction expansion of almost all numbers. In other words, if a number x is expanded as
then as 
More information is available at Wikipedia, Wolfram MathWorld, the Online Encyclopedia of Integer Sequences, and Numberphile.
Compute Khinchin's constant. The test suite will check for a difference of
.
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