Geodesic
On Jacobsthal difference sequences
Paula M. M. C. Catarino1 ; Paula M. M. C. Catarino
1Department of MathematicsUniversity of Trás-os-Montes e Alto Douro, Portugal
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 267-276 
Paula M. M. C. Catarino; Paula M. M. C. Catarino. On Jacobsthal difference sequences. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 267-276. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a9/
@article{AMUC_2018_87_2_a9,
     author = {Paula M. M. C. Catarino and Paula M. M. C. Catarino},
     title = { On {Jacobsthal} difference sequences},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {267--276},
     year = {2018},
     volume = {87},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

The aim of this work is to introduce new difference sequences by the application of the concept of difference relation to the sequences of k-Jacobsthal and k-Jacobsthal-Lucas numbers. We have investigated algebraic properties of these sequences and in addition we have given Binet's identities and generating functions satisfied by each of these sequences.