Narayana in Walnut

How to prove properties of Narayana’s cow sequence in Walnut

Bachelor Thesis (2025)
Author(s)

A.A. Mendels (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Contributor(s)

Robbert Fokkink – Mentor (TU Delft - Applied Probability)

Faculty
Electrical Engineering, Mathematics and Computer Science
More Info
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Publication Year
2025
Language
English
Graduation Date
28-08-2025
Awarding Institution
Delft University of Technology
Programme
['Applied Mathematics']
Faculty
Electrical Engineering, Mathematics and Computer Science
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Abstract

This thesis investigates properties of the Narayana sequence, a combinatorial sequence with recursive and morphic structure. We prove several known characteristics of the sequence. We then introduce the Walnut Prover, a tool for automating logical reasoning over automatic sequences. We describe its capabilities and limitations, and apply it to explore additional properties of the Narayana sequence.

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