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Research Article Open access CC BY 4.0

A Study on Generalized p-Oresme Numbers

Yüksel Soykan

Asian Journal of Advanced Research and Reports · pp. 1–25 · Published 7 Oct 2021

10.9734/ajarr/2021/v15i730410

Abstract

In this paper, we introduce the generalized p-Oresme sequences and we deal with, in detail, three special cases which we call them modified p-Oresme, p-Oresme-Lucas and p-Oresme sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

Oresme numbers Oresme-Lucas numbers generalized Fibonacci numbers modified p-Oresme numbers p-Oresme-Lucas numbers p-Oresme numbers

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