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| Title: | On the powers of the k-Fibonacci numbers | Authors: | Falcon, Sergio | UNESCO Clasification: | Investigación 12 Matemáticas 1202 Análisis y análisis funcional |
Keywords: | K-fibonacci numbers K-Lucas numbers Recurrence laws |
Issue Date: | 2016 | Journal: | Ars Combinatoria | Abstract: | In this paper we will find a combinatorial formula that relates the power of a k-Fibonacci number, Fp k, n, to the number Fk,an. From this formula and if p is odd, we will find a new formula that allows to express the k-Fibonacci number Fk,(nr+i)n as a combination of odd powers of Fk,n. If P is even, the formula is similar but for the even k-Lucas numbers Lk,2m. | URI: | http://hdl.handle.net/10553/42400 | ISSN: | 0381-7032 | Source: | Ars Combinatoria[ISSN 0381-7032],v. 127, p. 329-338 |
| Appears in Collections: | Artículos |
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