Working Paper Article Version 1 This version is not peer-reviewed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