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Let \(a_{0}, a_{1}, a_{2}, \dots\) be a sequence of positive real numbers such that \(a_{2014} = 2014\), and \(a_{n} = 6a_{n-3}-4a_{n-1}-a_{n-2}\) for all integers \(n \geq 3.\) Find the sum of all possible values of \(a_{10000}.\)

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