A **Thue number** refers to a special type of number in the context of combinatorial number theory, particularly related to Thue sequences. A Thue number is defined as the largest integer \( n \) such that there exists a sequence of \( n \) integers where no three terms of the sequence can form an arithmetic progression. However, there are also different contexts and definitions regarding Thue numbers in relation to Diophantine equations and mathematical sequences.
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