Catalan Tree & Parity of some sequences which are related to Catalan numbers
Volkan Yildiz
TL;DR
This paper investigates the parity of sequences related to Catalan numbers and introduces a combinatorial structure called the Catalan tree to explore its properties.
Contribution
It presents new results on the parity of certain Catalan-related sequences and introduces the Catalan tree as a novel combinatorial object.
Findings
Determined the parity of specific sequences linked to Catalan numbers
Defined and analyzed properties of the Catalan tree
Provided combinatorial insights into Catalan-related sequences
Abstract
In this paper we determine the parity of some sequences which are related to Catalan numbers. Also we introduce a combinatorical object called, \Catalan tree", and discuss its properties.
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Taxonomy
Topicssemigroups and automata theory · Advanced Combinatorial Mathematics · Advanced Mathematical Theories and Applications