Gauss Narayana-Lucas Sayıları Üzerine

Nusret Karaaslan; Merve Nur Fazlıoğlu

doi:10.29002/asujse.1020770

Research Article

On the Gaussian Narayana-Lucas Numbers

Year 2021, , 125 - 137, 30.12.2021

Nusret Karaaslan , Merve Nur Fazlıoğlu

https://doi.org/10.29002/asujse.1020770

Abstract

In this study, the Gauss Narayana-Lucas number sequence is introduced and examined. Firstly, the Gaussian Narayana-Lucas number sequence is defined by extending the Narayana-Lucas number sequence. Then, the generating function and the Binet formula of this number sequence were obtained. In addition, some sum formulas related to the Gaussian Narayana-Lucas number sequence and some matrices containing the terms of this sequence are examined. Finally, some relations were obtained between Gaussian Narayana and Gaussian Narayana-Lucas number sequences.

Keywords

Narayana numbers, Narayana-Lucas numbers, Gaussian Narayana-Lucas numbers, generating function, Binet formula

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