Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}
Year: 2017
Type: article
Abstract: Recently, a new generalization of Pascal's triangle, the so-called hyperbolic Pascal triangles were introduced. The mathematical background goes back to the regular mosaics in the hyperbolic plane. In this article, we investigate the paths in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}$, in which the binary recursive sequences $f_{n}=αf_{n-1}\pm f_{n-2}$ are represented ($α\in\mathbb{N}^+$).
Authors: Németh, László, Szalay, László
Institutions: University of Sopron, J. Selye University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2581130853