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Paper   IPM / M / 9543
School of Mathematics
  Title:   Evaluating some determinants of matrices with recursive entries
  Author(s):  A. R. Moghaddamfar (Joint with S. Navid Salehy and S. Nima Salehy)
  Status:   Published
  Journal: Bull. Korean Math. Soc.
  Vol.:  46
  Year:  2009
  Pages:   331-346
  Supported by:  IPM
Abstract. Let α = (α1, α2, …) and β = (β1, β2, …) be two sequences with α11 and k and n be natural numbers. We denote by Aα,β(k,±)(n) the matrix of order n with coefficients ai,j by setting a1,ii, ai,1i for 1 ≤ in and

j ≡ 2, 3, 4, …, k+1 mod 2k
jk+2,…, 2k+1 mod 2k,
for 2 ≤ i,jn. The aim of this paper is to study the determinants of such matrices related to certain sequences α and β, and some natural numbers k.

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