Compositions of positive integers with 2 s and 3 s

Abstract: In this article, we consider compositions of positive integers with 2s and 3s. We see that these compositions lead us to results that involve Padovan numbers, and we give some tiling models of these compositions. Moreover, we examine some tiling models of the compositions related to the Padovan polynomials and prove some identities using the tiling model’s method. Next, we obtain various identities of the compositions of positive integers with 2s and 3s related to the Padovan numbers. The number of palindromic compositions of this type is determined, and some numerical arithmetic functions are defined. Finally, we provide a table that compares all of the results obtained from compositions of positive integers with 2s and 3s.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Compositions of positive integers with 2 s and 3 s ; volume:56 ; number:1 ; year:2023 ; extent:14 ; Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 14)

Contributors, Places and Time

• Creator: Dişkaya, Orhan ; Menken, Hamza

Further information

• DOI: 10.1515/dema-2022-0227
• URN: urn:nbn:de:101:1-2023071514090958100402
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 10:54 AM CEST