On a New One Parameter Generalization of Pell Numbers
By:
References
- [1] P. Catarino, On some identities and generating functions for k-Pell numbers, Int. J. Math. Anal. (Ruse) 7 (2013), no. 38, 1877–1884.
- [2] P. Catarino and P. Vasco, Some basic properties and a two-by-two matrix involving the k-Pell numbers, Int. J. Math. Anal. (Ruse) 7 (2013), no. 45, 2209–2215.10.12988/ijma.2013.37172
- [3] R. Diestel, Graph Theory, Springer-Verlag, Heidelberg–New York, 2005.
- [4] A.F. Horadam, Pell identities, Fibonacci Quart. 9 (1971), no. 3, 245–252, 263.
- [5] E.G. Kocer and N. Tuglu, The Binet formulas for the Pell and Pell-Lucas p-numbers, Ars Combin. 85 (2007), 3–17.
- [6] K. Piejko and I. Włoch, On k-distance Pell numbers in 3-edge coloured graphs, J. Appl. Math. 2014, Art. ID 428020, 6 pp.
- [7] H. Prodinger and R.F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982), no. 1, 16–21.
- [8] S.Wagner and I. Gutman, Maxima and minima of the Hosoya index and the Merrifield-Simmons index: a survey of results and techniques, Acta Appl. Math. 112 (2010), no. 3, 323–346.
- [9] A. Włoch and I. Włoch, Generalized Pell numbers, graph representations and independent sets, Australas. J. Combin. 46 (2010), 211–215.
Language: English
Page range: 66 - 76
Submitted on: Feb 6, 2019
Accepted on: May 31, 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
Keywords:
Related subjects:
© 2019 Dorota Bród, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.