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Journal of Integer Sequences, Vol. 17 (2014), Article 14.5.6

More Determinant Representations for Sequences


Alireza Moghaddamfar and Hadiseh Tajbakhsh
Department of Mathematics
K. N. Toosi University of Technology
P. O. Box 16315-1618
Tehran, Iran
and
Research Institute for Fundamental Sciences (RIFS)
Tabriz, Iran

Abstract:

In this paper, we will find some new families of infinite (integer) matrices whose entries satisfy a non-homogeneous recurrence relation and such that the sequence of their leading principal minors is a subsequence of the Fibonacci, Lucas, Jacobsthal, or Pell sequences.


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(Concerned with sequences A000032 A000045 A000129 A001045.)


Received December 3 2013; revised version received March 2 2014. Published in Journal of Integer Sequences, March 26 2014.


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