Çetinalp, Esra KırmızıDeveci, ÖmürYılmaz, Nazmiye2023-09-132023-09-132023Çetinalp, E.K., Deveci, Ö., Yılmaz, N. (2023). A study on the k-step generalized balancing sequences. Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science,3 (1); 93-1042810-2029https://doi.org/10.31926/but.mif.2023.3.65.1.7https://hdl.handle.net/11492/7525In this paper, firstly, we define the k-step generalized Balancing sequences and study the Binet formula of these sequences. Also, we find families of super-diagonal matrices such that the permanents of these matrices are the elements of the k-step generalized Balancing sequences. Finally, we examine the periods of the k-step Balancing sequences in the〉 semi-direct product pre-sented by (formula presented) for the generating pair (x, y).enBalancing SequenceGroupsPeriodPresentationArticle3193104info:eu-repo/semantics/openAccess2-s2.0-8516420034110.31926/but.mif.2023.3.65.1.7Q4