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http://hdl.handle.net/10553/49153
| Title: | The k-Fibonacci matrix and the Pascal matrix | Authors: | Falcon, Sergio | UNESCO Clasification: | 12 Matemáticas | Keywords: | Pascal matrix k-Fibonacci numbers Factorization of a matrix |
Issue Date: | 2011 | Journal: | Central European Journal of Mathematics | Abstract: | We define the k-Fibonacci matrix as an extension of the classical Fibonacci matrix and relationed with the k-Fibonacci numbers. Then we give two factorizations of the Pascal matrix involving the k-Fibonacci matrix and two new matrices, L and R. As a consequence we find some combinatorial formulas involving the k-Fibonacci numbers. | URI: | http://hdl.handle.net/10553/49153 | ISSN: | 1895-1074 | DOI: | 10.2478/s11533-011-0089-9 | Source: | Central European Journal of Mathematicsn [ISSN 1895-1074], v. 9 (6), p. 1403-1410 |
| Appears in Collections: | Artículos |
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