Geodesic
New families of integer matrices whose leading principal minors form some well-known sequences
The electronic journal of linear algebra, Tome 22 (2011), pp. 598-619.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.].
Classification : 15A09, 15A36, 11C20
Keywords: Fibonacci sequence, Lucas sequence, pell sequence, Jacobsthal sequence, determinant, Toeplitz matrix, 7-matrix, generalized Pascal triangle, matrix factorization, recurrence relation 
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     title = {New families of integer matrices whose leading principal minors form some well-known sequences},
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Moghaddamfar, Ali Reza; Moghaddamfar, Kambiz; Tajbakhsh, Hadiseh. New families of integer matrices whose leading principal minors form some well-known sequences. The electronic journal of linear algebra, Tome 22 (2011), pp. 598-619. http://geodesic.mathdoc.fr/item/ELA_2011__22__a38/