Interesting Sequence

Algebra Level 2

Consider the following sequence \[1, 1, \frac{1}{2}, 1, \frac{2}{3}, \frac{1}{3}, 1, \frac{3}{4}, \frac{1}{2}, \frac{1}{4}, \cdots,\] and let \(A_n\) denote the \(n^{\text{th}}\) term. What is the term \(A_{164}?\)

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