In this paper we introduce a new kind of two-parameters generalization of Pell numbers. We give two distinct graph interpretations and prove some identities for these numbers. Moreover we define matrix generators and derive the generalized Cassini formula for the introduced numbers.
Citation
Urszula Bednarz, Malgorzata Wolowiec-Musial. A Two-Parameter Generalization of Pell Numbers in Graphs[J], Ars Combinatoria, Volume 129. 19-31. .