>[!abstract]
>In number theory, Khinchin's constant is a mathematical constant related to the simple continued fraction expansions of many real numbers. In particular Aleksandr Yakovlevich Khinchin proved that for almost all real numbers $x$, the coefficients ai of the continued fraction expansion of $x$ have a finite geometric mean that is independent of the value of $x$. It is known as Khinchin's constant and denoted by K0 = 2.68545200106530644530 (sequence A002210 in the OEIS) (Wikipedia, 2025).
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