%0 Journal Article %T Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices %J Journal of Mathematical Modeling %I University of Guilan %Z 2345-394X %A Hashemi, Mansoor %A Mehraban, Elahe %D 2022 %\ 01/01/2022 %V 10 %N 1 %P 161-172 %! Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices %K Pascal matrix %K $t$-extension of the $p$-Fibonacci matrix %K factorization of a matrix %R 10.22124/jmm.2021.18678.1597 %X In this paper, we consider the 2-generator $p$-groups of nilpotency class 2.  We  find the Fibonacci length and the period of the generalized order $k$--Pell sequences of these groups. %U https://jmm.guilan.ac.ir/article_4916_14f18658cbb403e3ee8c63d62fe81496.pdf