On the bi-periodic Padovan sequences
Mathematica Moravica, Tome 27 (2023) no. 2.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this study, we define a new generalization of the Padovan numbers, which shall also be called the bi-periodic Padovan sequence. Also, we consider a generalized bi-periodic Padovan matrix sequence. Finally, we investigate the Binet formulas, generating functions, series and partial sum formulas for these sequences.
Mots-clés : Padovan sequence, Binet-like formula, generating function, biperiodic Padovan sequence, matrix. 
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Orhan Dişkaya; Hamza Menken. On the bi-periodic Padovan sequences. Mathematica Moravica, Tome 27 (2023) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2023_27_2_a6/