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Abstract
In this note, we study the Fibonacci and Lucas p-numbers. We introduce the Lucas p-matrix and companion matrices for the sums of the Fibonacci and Lucas p-numbers to derive some interesting identities of the Fibonacci and Lucas p-numbers.
Acknowledgements
The author is grateful to the anonymous referee for his/her helpful comments.
Disclosure statement
No potential conflict of interest was reported by the author.
Additional information
Funding
The work on this paper is supported by a research grant for new scholars from the Thailand Research Fund (TRF) [grant number MRG5680127]; Kasetsart University Research and Development Institute (KURDI), Thailand.