Question 174
The sequence $\{a_n\}$ satisfies $a_1 = a_2 = 1$ and
$$
a_{n+2} = \frac{1}{a_{n+1}} + a_n, \quad n = 1, 2, \dots
$$
Find $a_{2004}$.
$$
a_{n+2} = \frac{1}{a_{n+1}} + a_n, \quad n = 1, 2, \dots
$$
Find $a_{2004}$.
MathNet 2004 — Part 01 Question 174
Math Olympiad Vault · MathNet 2004 — Part 01