Some Infinite Matrices Whose Leading Principal Minors Are Well-known Sequences
Number Theory
2017-05-16 v1
Abstract
There are scattered results in the literature showing that the leading principal minors of certain infinite integer matrices form the Fibonacci and Lucas sequences. In this article, among other results, we have obtained new families of infinite matrices such that the leading principal minors of them form a famous integer (sub)sequence, such as Fibonacci, Lucas, Pell and Jacobsthal (sub)sequences.
Keywords
Cite
@article{arxiv.1705.04912,
title = {Some Infinite Matrices Whose Leading Principal Minors Are Well-known Sequences},
author = {A. R. Moghaddamfar and S. Rahbariyan and S. Navid Salehy and S. Nima Salehy},
journal= {arXiv preprint arXiv:1705.04912},
year = {2017}
}
Comments
20 pages, Utilitas Mathematica, 2017