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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/131232026-10-18T20:39:19Zopenairedrivercom_ebyu_10000col_ebyu_10001

On F3(k, n) -numbers of the Fibonacci typeÖzkan, EnginYilmaz, Nur ŞeymaWłoch, AndrzejGeneralized Fibonacci numbersGenerating functionNarayana’s numbersPadovan’s numbersPascal’s triangleIn this paper, we study a generalization of Narayana’s numbers and Padovan’s numbers. This generalization also includes a sequence whose elements are Fibonacci numbers repeated three times. We give combinatorial interpretations and a graph interpretation of these numbers. In addition, we examine matrix generators and determine connections with Pascal’s triangle. © 2021, The Author(s).Birkhauser2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13123https://doi.org/10.1007/s40590-021-00381-91405-213XenBoletin de la Sociedad Matematica Mexicanainfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13123