Transformations of Pythagorean triples generated by generalized Fibonacci numbers

We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.

Authors

Institutions

Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2025-12-12
DOI
https://doi.org/10.7546/nntdm.2025.31.4.924-928
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Transformations of Pythagorean triples generated by generalized Fibonacci numbers

Jathan Austin
Notes on Number Theory and Discrete Mathematics
Mathematics and Applications
article

Transformations of Pythagorean triples generated by generalized Fibonacci numbers

Jathan Austin
article en

Abstract

We present matrices that transform Pythagorean triples arising from generalized Fibonacci sequences into other such triples. We also show that entries in the powers of such matrices can be expressed in terms of generalized Fibonacci sequences.

Notes on Number Theory and Discrete MathematicsVol. 31(4)
Salisbury University (US)
Openalex Percentile: Top 55%
Mathematics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.