Archives of Current Research International

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

Archives of Current Research International, Volume 20, Issue 2, Page 58-69
DOI: 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.

Keywords:
  • Fibonacci numbers
  • Lucas numbers
  • Pell numbers
  • Jacobsthal numbers
  • sum formulas.

How to Cite

Soykan, Y. (2020). Closed Formulas for the Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0W3 Σ k and n k=1W3. Archives of Current Research International, 20(2), 58–69. https://doi.org/10.9734/acri/2020/v20i230177
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