On the Convolution of the k-Lucas Sequences
Sergio Falcon *
Department of Mathematics, University of Las Palmas de Gran Canaria, 35017-Las Palmas de Gran Canaria, Spain.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we study the iterated convolution of the k-Lucas sequences in a form similar to the iterated convolution of the k-Fibonacci sequences [1].
A particular case is for the self-convolution of these sequences. Moreover, the generating functions of all these convolved sequences, we find the recurrence relation between the terms of the resulting sequences.
Keywords: K-Fibonacci and k-Lucas numbers, convolution, generating function, recurrence relation