On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences
Number Theory
2025-12-25 v4
Abstract
In this study, we apply "r" times the binomial transform to the Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, generating functions of these transforms are found using recurrence relations. Finally, we give the relationships of between iterated binomial transforms for Padovan and Perrin matrix sequences.
Keywords
Cite
@article{arxiv.1502.07919,
title = {On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences},
author = {Nazmiye Yilmaz and Necati Taskara},
journal= {arXiv preprint arXiv:1502.07919},
year = {2025}
}