Some properties of a Padovan sequence
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.
Authors
- Peter J.-S. Shiue (ORCID: https://orcid.org/0000-0002-1832-9002)
- Anthony G. Shannon (ORCID: https://orcid.org/0000-0003-0116-0666)
- Christopher Saito (ORCID: https://orcid.org/0009-0002-4464-1785)
Institutions
- University of Nevada, Las Vegas (US)
- UNSW Sydney (AU)
Publication Details
- Journal
- Notes on Number Theory and Discrete Mathematics
- Published
- 2026-11-11
- DOI
- https://doi.org/10.7546/nntdm.2026.32.4.655-674
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00