Problem
Christmas Contest - Individual Round - Problem 15
Consider the sequence of numbers a_1,a_2,a_3, ..., which has a_1 = 1 and a_m = \dfrac{\sum_{i=1}^{m-1}i\cdot a_i}{a_{m-1}} for all positive integers m \ge 2. Find the biggest positive integer n such that a_n \le 2024.
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