The purpose of this article is to obtain some new infinite families of Toeplitz matrices, 7-matrices and generalized Pascal triangles whose leading principal minors form the Fibonacci, Lucas, Pell and Jacobsthal sequences. We also present a new proof for Theorem 3.1 in [R. Bacher. Determinants of matrices related to the Pascal triangle. J. Théor. Nombres Bordeaux, 14:19–41, 2002.].

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Abstract The rise in inequality in the last two decades has affected most developed economies. The systemic nature of this inequality is the focus of this paper. A combination of product market internationalization, financial globalization and technological changes favoring large organizations created asymmetric pressure on the two ends of the distribution of market incomes, resulting in greatl...

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Development of energy efficient Wireless Sensor Network (WSN) routing protocol is nowadays main area of interest amongst researchers. This research is an effort in designing energy efficient Wireless Sensor Network (WSN) routing protocol under certain parameters consideration. Research report discusses various existing WSN routing protocols and propose a new WSN energy efficient routing protoco...

The original version of this Article contained errors in the spelling of the authors Catherine Faget-Agius, Jonathan Wirsich, Jean-Philippe Ranjeva, Raphaelle Richieri, Elisabeth Soulier, Sylviane Confort-Gouny, Pascal Auquier, Maxime Guye and Christophe Lançon which were incorrectly given as Faget-Agius Catherine, Wirsich Jonathan, Ranjeva Jean-Philippe, Richieri Raphaelle, Soulier Elisabeth, ...

Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Many theorems can be easily proved by Riordan arrays. In this paper we consider the Pascal matrix and define a new generalization of Fibonacci polynomials called p, q -Fibonacci polynomials. We obtain combinatorial identities and by using Riordanmethodwe get factorizations of Pascal matrix involvin...