Article
Construction of Nonlinear Expression for Recursive Number Sequences
Journal of Mathematical Research with Applications
(2015)
Abstract
A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [9]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order 2, we may transfer the identities of Lucas sequences to the latter.
Keywords
- Fibonacci numbers,
- Pell numbers,
- Jacobsthal numbers,
- Lucas numbers,
- linear recurrence relation,
- impulse response sequence
Disciplines
Publication Date
Fall September, 2015
DOI
10.3770
Publisher Statement
The Journal of Mathematical Research with Applications (JMRA) is an open access journal published by the China Society for Industrial and Applied Mathematics, http://jmre.dlut.edu.cn/en/ch/index.aspx.
Citation Information
Tian-Xiao He. "Construction of Nonlinear Expression for Recursive Number Sequences" Journal of Mathematical Research with Applications Vol. 35 Iss. 5 (2015) p. 473 - 483 ISSN: 2095-2651 Available at: http://works.bepress.com/tian_xiao_he/71/