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Research Article Open access CC BY 4.0

Closed Formulas for the Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0W3 Σ k and n k=1W3

Y¨üksel Soykan

Archives of Current Research International · pp. 58–69 · Published 15 Apr 2020

10.9734/acri/2020/v20i230177

Abstract

In this paper, closed forms of the sum formulas for the cubes of generalized Fibonacci numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers.

Fibonacci numbers Lucas numbers Pell numbers Jacobsthal numbers sum formulas.

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