Working Paper Article Version 1 This version is not peer-reviewed

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.

Subject Areas

Fibonacci numbers; Gaussian Fibonacci numbers; Lucas numbers; Pell numbers; Jacobsthal numbers; sum formulas

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