Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627372 | Applied Mathematics and Computation | 2014 | 13 Pages |
Abstract
We define a generalization of Lucas sequence by the recurrence relation lm=blm-1+lm-2lm=blm-1+lm-2 (if m is even) or lm=alm-1+lm-2lm=alm-1+lm-2 (if m is odd) with initial conditions l0=2l0=2 and l1=al1=a. We obtain some properties of the sequence {lm}m=0∞ and give some relations between this sequence and the generalized Fibonacci sequence {qm}m=0∞ which is defined in Edson and Yayenie (2009). Also, we give corresponding generalized Lucas sequence with the generalized Fibonacci sequence given in Yayenie (2011).
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Goksal Bilgici,