Geodesic
Hessenberg matrices and integer sequences
Journal of integer sequences, Tome 13 (2010) no. 7
We consider a particular case of upper Hessenberg matrices, in which all subdiagonal elements are -1. We investigate three type of matrices related to polynomials, generalized Fibonacci numbers, and special compositions of natural numbers. We give the combinatorial meaning of the coefficients of the characteristic polynomials of these matrices.
Classification : 11B39, 11C20
Keywords: Hessenberg matrix, generalized Fibonacci number, Fibonacci polynomial, composition of a natural number 
@article{JIS_2010__13_7_a2,
     author = {Janji\'c,  Milan},
     title = {Hessenberg matrices and integer sequences},
     journal = {Journal of integer sequences},
     year = {2010},
     volume = {13},
     number = {7},
     zbl = {1270.11013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a2/}
}
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Janjić,  Milan. Hessenberg matrices and integer sequences. Journal of integer sequences, Tome 13 (2010) no. 7. http://geodesic.mathdoc.fr/item/JIS_2010__13_7_a2/