Construction of Nonlinear Expression for Recursive Number Sequences
Received:April 28, 2015  Revised:July 08, 2015
Key Words: Fibonacci numbers   Pell numbers   Jacobsthal numbers   Lucas numbers   linear recurrence relation   Horadam sequence   impulse response sequence  
Fund Project:
Author NameAffiliation
Tianxiao HE Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702-2900, USA 
Hits: 3000
Download times: 3742
      A type of nonlinear expressions of Lucas sequences are established inspired by Hsu [A nonlinear expression for Fibonacci numbers and its consequences. J. Math. Res. Appl., 2012, 32(6): 654--658]. Using the relationships between the Lucas sequence and other linear recurring sequences satisfying the same recurrence relation of order $2$, i.e., the Horadam sequences, we may transfer the identities of Lucas sequences to the latter.
View Full Text  View/Add Comment  Download reader