More determinant representations for sequences
Journal of integer sequences, Tome 17 (2014) no. 5
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.
Classification :
11C20, 15B36, 10A35
Keywords: determinant, generalized Pascal triangle, Toeplitz matrix, matrix factorization, convolution matrix, lower Hessenberg matrix
Keywords: determinant, generalized Pascal triangle, Toeplitz matrix, matrix factorization, convolution matrix, lower Hessenberg matrix
@article{JIS_2014__17_5_a7,
author = {Moghaddamfar, Alireza and Tajbakhsh, Hadiseh},
title = {More determinant representations for sequences},
journal = {Journal of integer sequences},
year = {2014},
volume = {17},
number = {5},
zbl = {1353.11019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a7/}
}
Moghaddamfar, Alireza; Tajbakhsh, Hadiseh. More determinant representations for sequences. Journal of integer sequences, Tome 17 (2014) no. 5. http://geodesic.mathdoc.fr/item/JIS_2014__17_5_a7/