What question did this study set out to answer?

The aim is to investigate the order of the Padovan companion matrix under specific modular conditions.

April 15, 2026Open Access

On the Order of the Padovan Companion Matrix Modulo Prime Powers

The aim is to investigate the order of the Padovan companion matrix under specific modular conditions.
Characterization of Padovan sequences
Examination of finite fields
Mathematical analysis of matrix order modulo prime powers
Identified specific properties of Padovan matrices in finite fields
Established relationships between matrix order and prime powers
Demonstrated examples of matrix order behavior in different modular settings

Padovan sequence, finite fields, matrix order, lifting modulo prime powers

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Pietro Franesi (Mon,) studied this question.

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Pietro Franesi

Alma Mater Europaea

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