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http://hdl.handle.net/10553/49164
| Title: | The k-Fibonacci sequence and the Pascal 2-triangle | Authors: | Falcón, Sergio Plaza, Ángel |
UNESCO Clasification: | 120504 Teoría elemental de los números | Keywords: | Golden Section Geometry Number Dodecahedron Mathematics, et al |
Issue Date: | 2007 | Project: | Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento | Journal: | Chaos, Solitons and Fractals | Abstract: | The general k-Fibonacci sequence {Fk, n}n = 0∞ were found by studying the recursive application of two geometrical transformations used in the well-known 4-triangle longest-edge (4TLE) partition. This sequence generalizes, between others, both the classical Fibonacci sequence and the Pell sequence. In this paper many properties of these numbers are deduced and related with the so-called Pascal 2-triangle. | URI: | http://hdl.handle.net/10553/49164 | ISSN: | 0960-0779 | DOI: | 10.1016/j.chaos.2006.10.022 | Source: | Chaos, Solitons and Fractals [ISSN 0960-0779], v. 33 (1), p. 38-49 |
| Appears in Collections: | Artículos |
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