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Research Article Open access CC BY 4.0

Gaussian Generalized Tetranacci Numbers

Yüksel Soykan

Journal of Advances in Mathematics and Computer Science · pp. 1–21 · Published 27 Mar 2019

10.9734/jamcs/2019/v31i330112

Abstract

In this paper, we dene Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their properties. We present Binet's formulas, generating functions, and the summation formulas for Gaussian generalized Tetranacci numbers.Moreover, we give some identities connecting Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers. Furthermore, we present matrix formulation of Gaussian generalized Tetranacci numbers.

Tetranacci numbers Gaussian generalized Tetranacci numbers Gaussian Tetranacci numbers Gaussian Tetranacci-Lucas numbers.

Cited by 3

On Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers

Yüksel SOYKAN, Nejla ÖZMEN · Turkish Journal of Mathematics and Computer Science · 2021

Properties of Generalized (r,s,t,u)-Numbers

Yüksel Soykan · Earthline Journal of Mathematical Sciences · 2020

Generalized Tetranacci Hybrid Numbers

Yüksel Soykan, Erkan Taşdemir · Annales Mathematicae Silesianae · 2020

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