Bilgici G.Bilgici, G2023-05-092023-05-092014-10-152014.01.010096-3003https://hdl.handle.net/20.500.12597/12742We define a generalization of Lucas sequence by the recurrence relation lm=blm-1+lm-2 (if m is even) or l m=alm-1+lm-2 (if m is odd) with initial conditions l0=2 and l1=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). © 2014 Elsevier Inc. All rights reserved.falseBinet formula | Generalized Fibonacci sequence | Generalized Lucas sequence | Generating functionArticle10.1016/j.amc.2014.07.11110.1016/j.amc.2014.07.1112-s2.0-84906544779WOS:0003436139000465265382451873-5649