Work

Some properties of a Padovan sequence

Year: 2026

Type: article

Abstract: This paper explores a connection between third order Padovan sequences and generalized continued fractions by analogy with second order recursive sequences and ordinary two-dimensional continued fractions. It does this with a partial recurrence relation which is related to the original third order Padovan relation.

Source: Notes on Number Theory and Discrete Mathematics

DOI: 10.7546/nntdm.2026.32.4.655-674

Authors: Anthony G. Shannon, Peter J.-S. Shiue, Christopher Saito

Institutions: UNSW Sydney, University of Nevada, Las Vegas

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7225833012

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