Sergio Falcon (2011)
Open Mathematics
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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.
Charalambous, Hara, Deno, Christa (2001)
The New York Journal of Mathematics [electronic only]
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Roland Bacher (2002)
Journal de théorie des nombres de Bordeaux
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The aim of this paper is to study determinants of matrices related to the Pascal triangle.
Baciu, Corina (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Almkvist, Gert, Krattenthaler, Christian, Petersson, Joakim (2003)
Experimental Mathematics
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Navarro, E., Jódar, L., Company, R. (1994)
International Journal of Mathematics and Mathematical Sciences
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Rocha, J.Leonel, Ramos, J.Sousa (2004)
International Journal of Mathematics and Mathematical Sciences
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Rufus Oldenburger (1940)
Compositio Mathematica
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Li, Hsuan-Chu, Chen, Young-Ming, Tan, Eng-Tjioe (2009)
Integers
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Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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