MathDB
A 'polynomial tree', with 'a' as its leaves

Source: OMEC Ecuador National Olympiad Final Round 2023 N3 P3 day 1

November 5, 2024
algebrapolynomial

Problem Statement

We define a sequence of numbers ana_n such that a0=1a_0=1 and for all n≥0n\ge0: 2an+13+2an3=3an+12an+3an+1an22a_{n+1} ^3 + 2a_n ^3 = 3 a_{n +1} ^2 a_n + 3a_{n+1}a_n^2 Find the sum of all a2023a_{2023}'s possible values.
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