Matrix representations of the q-Jacobsthal numbers


  • Gamaliel Cerda Morales Pontificia Universidad Católica de Valparaiso.



q-Jacobsthal numbers, q-Jacobsthal-Lucas numbers, matrix methods, números de q-Jacobsthal, números de q-Jacobsthal-Lucas, métodos matriciales.


In this paper, we consider a q-Jacobsthal sequence {Jq,n},with initial conditions Jq0 = 0 and Jq1 = l. Then give a generating matrix for the terms of sequence {Jq,kn} for a positive integer k.With the aid of this matrix, we derive some new identities for the sequence.

Author Biography

Gamaliel Cerda Morales, Pontificia Universidad Católica de Valparaiso.

Instituto de Matemáticas.


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How to Cite

G. Cerda Morales, “Matrix representations of the q-Jacobsthal numbers”, Proyecciones (Antofagasta, On line), vol. 31, no. 4, pp. 345-354, Feb. 2013.




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