Journal of Integer Sequences, Vol. 27 (2024), Article 24.4.6

On generalized Leonardo p-numbers


Kantaphon Kuhapatanakul and Pongpol Ruankong
Department of Mathematics
Faculty of Science
Kasetsart University
Bangkok 10900
Thailand

Abstract:

We introduce a generalization of Leonardo p-numbers, which extends the definition of Leonardo p-numbers given by Tan and Leung, and investigate some of their basic properties. Moreover, we give a companion matrix and derive some identities regarding the numbers.

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(Concerned with sequences A000045 A000930 A001595 A017819 A017830 A023435 A111314 A233522 A362255.)

Received October 2 2023; revised versions received October 9 2023; March 18 2024; March 21 2024. Published in Journal of Integer Sequences, April 11 2024.

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