The Polytopic-k-Step Fibonacci Sequences in Finite Groups

The Polytopic-k-Step Fibonacci Sequences in Finite Groups

The Jacobsthal Sequences in Finite Groups

Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

K-nacci Sequences in Finite Triangle Groups

A k-nacci sequence in a finite group is a sequence of group elements x0, x1, x2, . . . , xn, . . . for which, given an initial seed set x0, x1, x2, . . . , xj−1 , each element is defined by xn x0x1 . . . xn−1, for j ≤ n < k, and xn xn−kxn−k 1 . . . xn−1, for n ≥ k. We also require that the initial elements of the sequence, x0, x1, x2, . . . , xj−1, generate the group, thus forcing the k-nacci s...

the jacobsthal sequences in finite groups

abstract in this paper, we study the generalized order- jacobsthal sequences modulo for and the generalized order-k jacobsthal-padovan sequence modulo for . also, we define the generalized order-k jacobsthal orbit of a k-generator group for and the generalized order-k jacobsthal-padovan orbit a k-generator group for . furthermore, we obtain the lengths of the periods of the generalized order-3 ...

The Generalized Order-k Lucas Sequences in Finite Groups

Ömür Deveci1, 2 and Erdal Karaduman1,2 1 Department of Mathematics, Faculty of Arts and Science, Kafkas University, 36100 Kars, Turkey 2 Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Turkey Correspondence should be addressed to Ömür Deveci, [email protected] Received 18 October 2011; Accepted 11 December 2011 Academic Editor: Reinaldo Martinez Palhares C...