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Research Article Open access CC BY 4.0

On Summing Formulas for Horadam Numbers

Y¨ uksel Soykan, Y¨üksel Soykan

Asian Journal of Advanced Research and Reports · pp. 45–61 · Published 27 Jan 2020

10.9734/ajarr/2020/v8i130192

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.

Fibonacci numbers Lucas numbers Pell numbers Jacobsthal numbers sum formulas summing formulas.

References (9)

  1. 1 A Generalized Fibonacci Sequence [DOI]
  2. 2 Pell and Pell–Lucas Numbers with Applications [DOI]
  3. 3 Generating functions for powers of a certain generalised sequence of numbers [DOI]
  4. 4 Summing Formulas for Generalized Tribonacci Numbers [DOI]
  5. 5 On Summing Formulas For Generalized Fibonacci and Gaussian Generalized Fibonacci Numbers [DOI]
  6. 6 Sums of Tribonacci and Tribonacci-Lucas numbers [DOI]
  7. 7 Summation Formulas for Generalized Tetranacci Numbers [DOI]
  8. 8 Linear Summing Formulas of Generalized Pentanacci and Gaussian Generalized Pentanacci Numbers [DOI]
  9. 9 On Summing Formulas of Generalized Hexanacci and Gaussian Generalized Hexanacci Numbers [DOI]

Cited by 13

Generalized Fibonacci Numbers: Sum Formulas

Yüksel Soykan · Journal of Advances in Mathematics and Computer Science · 2020

On the three parameter family of the generalized k-Horadam sequences

K. Prasad, M. Kumari, Ritanjali Mohanty · Annali dell?Università di Ferrara · 2026

Properties Of 2-Fibonacci Sequence

Vipin Verma, Priyanka · Journal of Physics, Conference Series · 2022

On the Sums of Squares of Generalized Tribonacci Numbers: Closed Formulas of Σn k=0 xkW2

Y. Soykan · Archives of Current Research International · 2020

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