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arXiv · 1701.07074

Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}

László Németh·László Szalay
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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 ($α\in\mathbb{N}^+$).

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László Németh, László Szalay. 2017-01-21. Recurrence sequences in the hyperbolic Pascal triangle corresponding to the regular mosaic $\{4,5\}. https://arxiv.org/abs/1701.07074

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