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A note on modified third-order Jacobsthal numbers

  • Cerda-Morales, Gamaliel [1]
    1. [1] Pontificia Universidad Católica de Valparaíso

      Pontificia Universidad Católica de Valparaíso

      Valparaíso, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 2, 2020, págs. 409-420
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2020-02-0025
  • Títulos paralelos:
    • A note on Modified Third-order Jacobsthal Numbers
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  • Resumen
    • Modified third-order Jacobsthal sequence is defined in this study. Some properties involving this sequence, including the Binet-style formula and the generating function are also presented.

  • Referencias bibliográficas
    • P. Barry, “Triangle geometry and Jacobsthal numbers”, Bulletin - Irish Mathematical Society, 51, pp. 45-57, 2003. [On line]. Available: https://bit.ly/2SaAWbl
    • G. Cerda-Morales, “Identities for third order Jacobsthal quaternions”, Advances in applied clifford algebras, vol. 27, no. 2, pp. 1043–1053,...
    • G. Cerda-Morales, “On a generalization for Tribonacci Qquaternions”, Mediterranean journal of mathematics, vol. 14, no. 6, art. ID. 239, Nov....
    • G. Cerda-Morales, “Dual third-order Jacobsthal quaternions”, Proyecciones (Antofagasta. On line), vol. 37, no. 4, pp. 731–747, Nov. 2018,...
    • C. K. Cook and M. R. Bacon, “Some identities for Jacobsthal and Jacobsthal-Lucas numbers satisfying higher order recurrence relations”, Annales...
    • A. F. Horadam, “Jacobsthal and Pell curves”, The Fibonacci quarterly, vol. 26, no. 1, pp. 79-83, 1988. [On line]. Available: https://bit.ly/2YitKxI
    • A. F. Horadam, “Jacobsthal representation numbers”, The Fibonacci quarterly, vol. 43, no. 1, pp. 40-54, 1996. [On line].Available: https://bit.ly/3eWwoz8

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