{"status": "success", "data": {"description_md": "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 $a_n \\le 2024$.", "description_html": "<p>Consider the sequence of numbers <span class=\"katex--inline\">a_1,a_2,a_3, ...</span>, which has <span class=\"katex--inline\">a_1 = 1</span> and <span class=\"katex--inline\">a_m = \\dfrac{\\sum_{i=1}^{m-1}i\\cdot a_i}{a_{m-1}}</span> for all positive integers <span class=\"katex--inline\">m \\ge 2</span>. Find the biggest positive integer <span class=\"katex--inline\">n</span> such that <span class=\"katex--inline\">a_n \\le 2024</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Christmas Contest - Individual Round - Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_individual-p16", "prev": "/problem/christmas1_individual-p14"}}