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The term "Euler sequence" can refer to different concepts depending on the context, but one of the most common uses is related to the Euler numbers or the sequence of Euler's totient function. 1. **Euler Numbers**: In combinatorial mathematics, Euler numbers (not to be confused with Eulerian numbers) are a sequence of integers that occur in the expansion of certain generating functions. They can be defined recursively and are used in various areas of mathematics, such as topology and number theory.