Simple continued fraction

A simple or regular continued fraction is a continued fraction with numerators all equal to one, and denominators built from a sequence { a i } {\displaystyle \{a_{i}\}} of integer numbers. The sequence can be finite or infinite, resulting in a finite (or terminated) continued fraction like a 0 + 1 a 1 + 1 a 2 + 1 ⋱ + 1 a n {\displaystyle a_{0}+{\cfrac {1}{a_{1}+{\cfrac {1}{a_{2}+{\cfrac {1}{\ddots +{\cfrac {1}{a_{n}}}}}}}}}} or an infinite continued fraction like a 0 + 1 a 1 + 1 a 2 + 1 ⋱ .

Source: Wikipedia — Simple continued fraction (CC BY-SA 4.0)