Geodesic
Bi-Periodic Hyper-Fibonacci Numbers
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 603

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

In the present paper, we introduce and study a new generalization of hyper-Fibonacci numbers, called the bi-periodic hyper-Fibonacci numbers. Furthermore, we give a combinatorial interpretation using the weighted tilings approach and prove several identities relating these numbers. Moreover, we derive their generating function and new identities for the classical hyper-Fibonacci numbers.
Classification : 11B39, 05A15, 05A19
Keywords: hyper-Fibonacci numbers, bi-periodic Fibonacci numbers, bi-periodic hyper-Fibonacci numbers, generating function 
Nassima Belaggoun; Hacène Belbachir. Bi-Periodic Hyper-Fibonacci Numbers. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 4, p. 603 . http://geodesic.mathdoc.fr/item/KJM_2025_49_4_a7/
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     title = {Bi-Periodic {Hyper-Fibonacci} {Numbers}},
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