The Fibonacci length of certain centro-polyhedral groups

On The Jacobsthal-Padovan p-Sequences in Groups

“…In the mid-eighties, Wilcox [16] extended the problem to abelian groups and Campbell et al [5] expanded the theory to some finite simple groups. Further, the concept extended to some special linear recurrence sequences by several authors; see for example, [2][3][4][6][7][8][9][10][11][12][13][14]. In this paper, we redefine the Padovan-Padovan p-sequence by means of the elements of the groups and then, we examine this sequence in the finite groups in detail.…”

Some properties of k-generalized Fibonacci numbers

“…Fibonacci numbers have a great importance in mathematics. It is one of the most popular sequences that have a lot of applications in many branch of mathematics as in diverse sciences [1,2,6,7,[10][11][12][13][16][17][18][19][20]. The Fibonacci numbers are given by the recurrence relation…”

Untitled

“…Padovan-Type Sequences via The Hurwitz Matrices 2 sequences by several authors; see for example, (Aydin and Smith 1994, Campbell and Campbell 2009, Deveci 2015, Deveci and Aküzüm 2015, Deveci and Avci 2015, Doostie and Hashemi 2006, Dikici and Smith 1997, Knox 1992, Ozkan et.al 2003, Tas and Karaduman 2014. In this paper, we define the Padovan-Hurwitz and the Pell-Padovan-Hurwitz orbits of groups then we study these sequences in finite groups.…”