# Gaussian Generalized Tetranacci Numbers

## TL;DR

This paper introduces Gaussian generalized Tetranacci numbers, explores their properties, and examines specific cases like Gaussian Tetranacci and Lucas numbers, expanding the understanding of these complex sequences.

## Contribution

It defines Gaussian generalized Tetranacci numbers and investigates their properties, including special cases such as Gaussian Tetranacci and Lucas numbers, which is a novel extension.

## Key findings

- Properties of Gaussian generalized Tetranacci numbers established
- Special cases like Gaussian Tetranacci-Lucas numbers analyzed
- New identities and relations derived for these sequences

## Abstract

In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their properties.