@article{article_1444748, title={On the Non-Newtonian Padovan and Non-Newtonian Perrin Numbers}, journal={Sinop Üniversitesi Fen Bilimleri Dergisi}, volume={9}, pages={502–515}, year={2024}, DOI={10.33484/sinopfbd.1444748}, author={Dişkaya, Orhan}, keywords={Newtonyen olmayan hesap, Padovan sayıları, Binet formülü, üreteç fonksiyonları, binom toplamı}, abstract={In this work, we introduce a novel version of Padovan and Perrin numbers which we refer to as non-Newtonian Padovan and non-Newtonian Perrin numbers. Furthermore, we examine about a number of their properties. Additionally, we provide a variety of identities and formulas involving these new kinds, including the Binet-like formulas, the generating functions, the partial sum formulas, and the binomial sum formulas.}, number={2}, publisher={Sinop Üniversitesi}, organization={The author has no received any financial support for the research, authorship, or publication of this study.}