Coding objects related to Catalan numbers
Antal Bege, Zolt\'an K\'asa
TL;DR
This paper introduces a binary sequence coding method for Catalan number problems, simplifying the proof of their equivalence and providing a new approach to related computational challenges.
Contribution
It presents a novel binary coding technique that unifies various Catalan number problems and simplifies their analysis.
Findings
Simplifies proofs of problem equivalences
Provides a new coding method for Catalan-related problems
Facilitates easier computation of Catalan number problems
Abstract
A coding method using binary sequences is presented for different computation problems related to Catalan numbers. This method proves in a very easy way the equivalence of these problems.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Analytic Number Theory Research