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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.
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
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