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Paper   IPM / M / 11844
School of Mathematics
  Title:   New families of integer matrices whose leading principal minors form some well-known sequences
  Author(s):  A. R. Moghaddamfar (Joint with K. Moghaddamfar and H. Tajbakhsh)
  Status:   Published
  Journal: ELA
  Vol.:  22
  Year:  2011
  Pages:   598-619
  Supported by:  IPM
  Abstract:
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. Theorie Nombres Bordeaux, 14(2002), 19-41].


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