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If \( \left(1+x+x^{2}\right)^{n}=\left(a_{0}+a_{1} x+a_{2} x^{2}+\ldots+a_{2 n} x^{2 n}\right) \), then \( \left(a_{0}+a_{3}+a_{6}+\ldots\right) \) equals to
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