A STUDY ON THE SUMS OF SQUARES OF GENERALIZED TRIBONACCI NUMBERS: CLOSED FORM FORMULAS OF ∑_{k=0}ⁿkx^{k}W_{k}²

Autor:	Yüksel Soykan
Rok vydání:	2021
Předmět:	Combinatorics Narayana number Matematik Third order Recurrence relation Integer Sums of squares third order recurrence generalized Tribonacci numbers Padovan numbers Perrin numbers Narayana numbers Complex number Mathematics
Zdroj:	Volume: 5, Issue: 1 1-23 Journal of Scientific Perspectives
ISSN:	2587-3008
DOI:	10.26900/jsp.5.1.02
Popis:	In this paper, closed forms of the sum formulas Pn k=0 kxkWk 2; Pn k=0 kxkWk+2Wk and Pn k=0 kxkWk+1Wk for the squares of generalized Tribonacci numbers are presented. Here, fWmgm2Z is the generalized Tribonacci se- quence, n is a non-negative integer and x is a real or complex number. As special cases, we give summation formulas of Tribonacci, Tribonacci-Lucas, Padovan, Perrin numbers and the other third order recurrence relations. 2020 Mathematics Subject Classication. 11B39, 11B83.
Databáze:	OpenAIRE
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