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http://hdl.handle.net/10553/49165
| Title: | On the Fibonacci k-numbers | Authors: | Falcón, Sergio Plaza, Ángel |
UNESCO Clasification: | 120504 Teoría elemental de los números | Keywords: | Golden Section Triangular Grids Mathematics |
Issue Date: | 2007 | Project: | Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento | Journal: | Chaos, Solitons and Fractals | Abstract: | We introduce a general Fibonacci sequence that generalizes, between others, both the classic Fibonacci sequence and the Pell sequence. These general kth Fibonacci numbers {Fk, n}n = 0 ∞ were found by studying the recursive application of two geometrical transformations used in the well-known four-triangle longest-edge (4TLE) partition. Many properties of these numbers are deduce directly from elementary matrix algebra. | URI: | http://hdl.handle.net/10553/49165 | ISSN: | 0960-0779 | DOI: | 10.1016/j.chaos.2006.09.022 | Source: | Chaos, Solitons and Fractals [ISSN 0960-0779], v. 32 (5), p. 1615-1624 |
| Appears in Collections: | Artículos |
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