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{{Use American English|date = March 2019}}
{{Short description|Sequence valued in polynomials}}
In [[mathematics]], a '''polynomial sequence''' is a [[sequence]] of [[polynomial]]s indexed by the nonnegative integers 0, 1, 2, 3, ..., in which each [[indexed family|index]] is [[equality (mathematics)|equal]] to the degree of the corresponding polynomial. Polynomial sequences are a topic of interest in [[enumerative combinatorics]] and [[algebraic combinatorics]], as well as [[applied mathematics]].
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