# Determinant Representations of Sequences: A Survey

A. R. Moghaddamfar; S. Navid Salehy; S. Nima Salehy

Special Matrices (2014)

- Volume: 2, Issue: 1, page 46-60
- ISSN: 2300-7451

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topA. R. Moghaddamfar, S. Navid Salehy, and S. Nima Salehy. "Determinant Representations of Sequences: A Survey." Special Matrices 2.1 (2014): 46-60. <http://eudml.org/doc/267229>.

@article{A2014,

abstract = {This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices. Some of these matrices are constructed by homogeneous or nonhomogeneous recurrence relations, and others are constructed by convolution of two sequences. In this article, we will illustrate the idea of these methods by constructing some integer matrices of this type.},

author = {A. R. Moghaddamfar, S. Navid Salehy, S. Nima Salehy},

journal = {Special Matrices},

keywords = {determinant; generalized Pascal triangle; (Quasi) Toeplitz matrix; (Quasi) Pascal-like matrix; Fibonacci (Lucas; Jacobsthal and Pell) sequence; (quasi) Toeplitz matrix; (quasi) Pascal-like matrix; Fibonacci (Lucas, Jacobsthal and Pell) sequence},

language = {eng},

number = {1},

pages = {46-60},

title = {Determinant Representations of Sequences: A Survey},

url = {http://eudml.org/doc/267229},

volume = {2},

year = {2014},

}

TY - JOUR

AU - A. R. Moghaddamfar

AU - S. Navid Salehy

AU - S. Nima Salehy

TI - Determinant Representations of Sequences: A Survey

JO - Special Matrices

PY - 2014

VL - 2

IS - 1

SP - 46

EP - 60

AB - This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices. Some of these matrices are constructed by homogeneous or nonhomogeneous recurrence relations, and others are constructed by convolution of two sequences. In this article, we will illustrate the idea of these methods by constructing some integer matrices of this type.

LA - eng

KW - determinant; generalized Pascal triangle; (Quasi) Toeplitz matrix; (Quasi) Pascal-like matrix; Fibonacci (Lucas; Jacobsthal and Pell) sequence; (quasi) Toeplitz matrix; (quasi) Pascal-like matrix; Fibonacci (Lucas, Jacobsthal and Pell) sequence

UR - http://eudml.org/doc/267229

ER -

## References

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