On a New One Parameter Generalization of Pell Numbers

[1] P. Catarino, On some identities and generating functions for k-Pell numbers, Int. J. Math. Anal. (Ruse) 7 (2013), no. 38, 1877–1884.10.12988/ijma.2013.35131Search in Google Scholar

[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.2013.37172Open DOISearch in Google Scholar

[3] R. Diestel, Graph Theory, Springer-Verlag, Heidelberg–New York, 2005.10.1007/978-3-642-14279-6_7Search in Google Scholar

[4] A.F. Horadam, Pell identities, Fibonacci Quart. 9 (1971), no. 3, 245–252, 263.Search in Google Scholar

[5] E.G. Kocer and N. Tuglu, The Binet formulas for the Pell and Pell-Lucas p-numbers, Ars Combin. 85 (2007), 3–17.Search in Google Scholar

[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.10.1155/2014/428020Search in Google Scholar

[7] H. Prodinger and R.F. Tichy, Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982), no. 1, 16–21.Search in Google Scholar

[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, 323–346.10.1007/s10440-010-9575-5Search in Google Scholar

[9] A. Włoch and I. Włoch, Generalized Pell numbers, graph representations and independent sets, Australas. J. Combin. 46 (2010), 211–215.Search in Google Scholar