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2 articles for “Tribonacci Numbers”

• Published Subscription 16 Jan 2021

  New Recurrence Relations for Tribonacci Sequence and Generalized Tribonacci Sequence

  By Engin ÖZKAN, Songül ÇELİK, İnan DURUKAN

  Abstract: AbstractTribonacci numbers are placed on the corners of polygons clockwise with each corner receiving a term. Then, it is argued whether there is a relationship among the numbers in the same corners. It is shown to be able to find mth term corresponding to the corner Ak in an n-gon by a relation:where, is a Tribonaccisequence and is a Tribonacci- Lucas sequence. The relation is proved by using a binet …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 1–6 Read article →

• Published Subscription Original Research 10 Jan 2025

  Encoding-Decoding Algorithm Using the Catalan Transform of Weighted Tribonacci Sequence

  By Girma Wondale Gelagay, Zerfie Teshome Yigzie, bahar kuloglu

  Abstract: In order to improve information security, this paper presents a unique algorithm for encoding and decoding messages utilizing the Catalan Transform of a Weighted Tribonacci Sequence. Utilizing the Catalan and Tribonacci sequences, the methodology combines the concepts of number theory and combinatorics to create an effective encryption and decryption process. First, an array is created by mapping each character in the plaintext message to its corresponding ASCII value. The ASCII-weighted …

  Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 12–16 Read article →