Article
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Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers
Version 1
: Received: 23 February 2020 / Approved: 24 February 2020 / Online: 24 February 2020 (13:58:54 CET)
How to cite: Soykan, Y. Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers. Preprints 2020, 2020020352 Soykan, Y. Closed Formulas for the Sums of Squares of Generalized Fibonacci Numbers. Preprints 2020, 2020020352
Abstract
In this paper, closed forms of the summation formulas for generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas numbers.
Keywords
Fibonacci numbers; Gaussian Fibonacci numbers; Lucas numbers; Pell numbers; Jacobsthal numbers; sum formulas
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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