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Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton - MaRDI portal

Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton (Q2170788)

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scientific article; zbMATH DE number 7582306
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English
Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton
scientific article; zbMATH DE number 7582306

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    Congruence properties of combinatorial sequences via walnut and the Rowland-Yassawi-Zeilberger automaton (English)
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    6 September 2022
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    Summary: Certain famous combinatorial sequences, such as the Catalan numbers and the Motzkin numbers, when taken modulo a prime power, can be computed by finite automata. Many theorems about such sequences can therefore be proved using Walnut, which is an implementation of a decision procedure for proving various properties of automatic sequences. In this paper we explore some results (old and new) that can be proved using this method.
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