부산대학교 도서관

There is ongoing research into combinatorial methods and approaches for linear and recurrent sequences. Using the notion of a board defined for the Fibonacci sequence, this work introduces the Padovan sequence combinatorial approach. Thus, mathematical theorems are introduced that refer to the study of the Padovan combinatorial model and some of its extensions, namely Tridovan, Tetradovan and its generalization (Z-dovan). Finally, we obtained a generalization of the Padovan combinatorial model, which was the main result of this research.
Author(s): Renata Passos Machado Vieira (corresponding author) [1,*]; Francisco Regis Vieira Alves [2]; Paula Maria Machado Cruz Catarino [3] 1. Introduction Research involving the combinatorial study of the Fibonacci sequence [...]