Some Addition Formulas for Fibonacci, Pell and Jacobsthal Numbers
References
- [1] H.W. Gould, A history of the Fibonacci Q-matrix and a higher-dimensional problem, Fibonacci Quart. 19 (1981), no. 3, 250–257.
- [2] F. Koken and D. Bozkurt, On the Jacobsthal numbers by matrix methods, Int. J. Contemp. Math. Sci. 3 (2008), no. 13, 605–614.
- [3] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York, 2001.
- [4] T. Koshy, Pell and Pell-Lucas Numbers with Applications, Springer, New York, 2014.
- [5] P. Mana, Problem B-152: Fibonacci addition formula, Fibonacci Quart. 7 (1969), no. 3, 336.
- [6] OEIS Foundation Inc., The On-Line Encyclopedia of Integer Sequences, 2011, http://oeis.org.
Language: English
Page range: 55 - 65
Submitted on: Nov 21, 2018
Accepted on: May 1, 2019
Published on: Jul 18, 2019
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
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© 2019 Göksal Bilgici, Tuncay Deniz Şentürk, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.