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The k-Nacci Sequences in Some Special Modular Groups.
- Source :
-
Algebra Colloquium . Mar2014, Vol. 21 Issue 1, p59-66. 8p. - Publication Year :
- 2014
-
Abstract
- A k-nacci (k-step Fibonacci) 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 From the definition, it is clear that the period of the k-nacci sequence in a group depends on the chosen generating set and the order in which the assignments of x0, x1, x2, ..., xj-1 are made. In this paper we examine the periods of the k-nacci sequences in the groups 픐2, and ℜ2, where each term of the sequence is reduced modulo 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FIBONACCI sequence
*MODULAR groups
*SET theory
*ALGEBRA
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 21
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 93785552
- Full Text :
- https://doi.org/10.1142/S1005386714000042