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GENERALIZED k-JACOBSTHAL AND k-JACOBSTHAL-LUCAS NUMBERS
Author(s) : Gospava B. Djordjević and Snežana S. Djordjević
Pages : [21] - [36]
Received : October 22, 2015; Revised November 23, 2015
Communicated by : Professor Haik G. Ghazaryan
Pages : [21] - [36]
Received : October 22, 2015; Revised November 23, 2015
Communicated by : Professor Haik G. Ghazaryan
Abstract
In this note, we consider the following numbers: .gif){kind=small}
generalized k-Jacobsthal numbers and 
generalized k-Jacobsthal-Lucas numbers. Also, we introduce the incomplete numbers 
and 
Next, we introduce and consider the sequences of numbers: 
l-th convolution of the sequence 
and 
s-th convolution of the sequence 
Keywords
incomplete numbers, generating function, recurrence relation, explicit formula, convolution.