IJPAM: Volume 21, No. 3 (2005)
ON THE -GENERALIZED LUCAS NUMBERS
Sheng-Liang Yang
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, P.R. CHINA
e-mail: slyang@lut.cn
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu, 730050, P.R. CHINA
e-mail: slyang@lut.cn
Abstract.In this paper, we study the determinants of the matrices obtained by sequences of the -generalized Lucas numbers. Furthermore, we consider the relationship between the -generalized Fibonacci numbers and the -generalized Lucas numbers.
Received: March 7, 2005
AMS Subject Classification: 11B39
Key Words and Phrases: Fibonacci numbers, Lucas numbers, -generalized Fibonacci numbers, -generalized Lucas numbers
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 3