Geodesic
New families of Jacobsthal and Jacobsthal-Lucas numbers
Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 40-54

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we present new families of sequences that generalize the Jacobsthal and the Jacobsthal-Lucas numbers and establish some identities. We also give a generating function for a particular case of the sequences presented.
Keywords: Jacobsthal numbers, Jacobsthal-Lucas numbers, generating matrix, generating function.
Mots-clés : Binet formula 
@article{ADM_2015_20_1_a4,
     author = {Paula Catarino and Paulo Vasco and Helena Campos and Ana Paula Aires and Anabela Borges},
     title = {New families of {Jacobsthal} and {Jacobsthal-Lucas} numbers},
     journal = {Algebra and discrete mathematics},
     pages = {40--54},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a4/}
}
TY  - JOUR
AU  - Paula Catarino
AU  - Paulo Vasco
AU  - Helena Campos
AU  - Ana Paula Aires
AU  - Anabela Borges
TI  - New families of Jacobsthal and Jacobsthal-Lucas numbers
JO  - Algebra and discrete mathematics
PY  - 2015
SP  - 40
EP  - 54
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a4/
LA  - en
ID  - ADM_2015_20_1_a4
ER  - 
%0 Journal Article
%A Paula Catarino
%A Paulo Vasco
%A Helena Campos
%A Ana Paula Aires
%A Anabela Borges
%T New families of Jacobsthal and Jacobsthal-Lucas numbers
%J Algebra and discrete mathematics
%D 2015
%P 40-54
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a4/
%G en
%F ADM_2015_20_1_a4
Paula Catarino; Paulo Vasco; Helena Campos; Ana Paula Aires; Anabela Borges. New families of Jacobsthal and Jacobsthal-Lucas numbers. Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 40-54. http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a4/