Question 83
the string of real numbers $a_{0}, a_{1}, \ldots, a_{n}, \ldots$ satisfy the relationship
$$
a_{m+n} + a_{m-n} - m + n - 1 = \frac{1}{2}\left(a_{2m} + a_{2n}\right)
$$
for any natural numbers $m$ şi $n$, $m \geq n$. . If $a_{1} = 3$, find out $a_{2004}$.
$$
a_{m+n} + a_{m-n} - m + n - 1 = \frac{1}{2}\left(a_{2m} + a_{2n}\right)
$$
for any natural numbers $m$ şi $n$, $m \geq n$. . If $a_{1} = 3$, find out $a_{2004}$.