# Some Infinite Matrices Whose Leading Principal Minors Are Well-known Sequences

## TL;DR

This paper introduces new infinite matrices whose leading principal minors generate well-known integer sequences like Fibonacci, Lucas, Pell, and Jacobsthal, expanding the understanding of their structural properties.

## Contribution

The paper presents novel families of infinite matrices with principal minors that produce several famous integer sequences, broadening previous scattered results.

## Key findings

- Constructed new infinite matrices with specific sequence minors
- Established links between matrix minors and well-known sequences
- Extended known results to include Pell and Jacobsthal sequences

## 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.