Definition:Sequence of Partial Quotients

Definition
Let $k$ be a field.

Let $(a_n)_{n\geq 0}$ be a continued fraction in $k$.

The sequence of partial quotients of $(a_n)_{n\geq 0}$ is just $(a_n)_{n\geq 0}$ itself.

That is, a continued fraction equals its sequence of partial quotients.

Also see

 * Definition:Partial Quotient
 * Definition:Sequence of Complete Quotients