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Pascal’s Triangle and Lucas’s Theorem Cover

Pascal’s Triangle and Lucas’s Theorem

By: Rafał ZiobroORCID  
Open Access
|Dec 2024

Abstract

In this article we construct formally the Pascal’s triangle using Mizar proof assistant. Using the same techniques, we show some similar constructions based on integer sequences. We also prove Lucas’s theorem providing useful registrations of clusters to enable more automation in calculations.

DOI: https://doi.org/10.2478/forma-2024-0020 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 235 - 245
Accepted on: Dec 24, 2024
Published on: Dec 31, 2024
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2024 Rafał Ziobro, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.