The k-Bronze Fibonacci sequence
P. Catarinopcatarin@utad.ptDepartment of MathematicsUniversity of Trás-os-Montes e Alto DouroQuinta de Prados, Vila Real, 5001-801, PortugalView full profile → , *S. RicardoCorresponding authorsricardo@utad.ptDepartment of MathematicsUniversity of Trás-os-Montes e Alto DouroQuinta de Prados, Vila Real, 5001-801, PortugalView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Jun 2022
- Accepted:
- 10 Oct 2022
- Published Online:
- 16 Sep 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-1721
- Pages:
- 1753–1764
Abstract
Keywords
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References
[1] Akbiyik, M., and Alo, J., On Third-Order Bronze Fibonacci Numbers, Mathematics, 9(20) : 2606 (2021).
[2] Catarino, P., On k-Pell hybrid numbers. J. Discrete Math. Sci. Cryptogr. 22(1), 83-89 (2019).
[3] Catarino, P., and Campos, H., From Fibonacci Sequence to More Recent Generalisations. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds). Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, 384, 259-269 (2022).
[4] Catarino, P., and Borges, A., On Leonardo numbers. Acta Mathematica Universitatis Comenianae 89(1), 75-86 (2019).
[5] Catarino, P., and Vasco, P., The Generalized order –m(k-Pell) numbers. Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica 20(1), 55-65 (2020).
[6] Catarino, P., and Almeida, R., A Note on Vietoris’ Number Sequence. Mediterranean Journal of Mathematics 19(41) (2022).
[7] Horadam, A. F., and Shannon, A. G., Generalization of identities of Catalan and others, Portugaliae Mathematica, 44, 137-148 (1987).
[8] Kartal, M. Y., Gaussian Bronze Fibonacci Numbers. Ejons International Journal on Mathematics, Engineering - Natural Sciences, 13, 19-25 (2020).
[9] Kizilates, C., A new generalization of Fibonacci hybrid and Lucas hybrid numbers. Chaos Solitons Fractals 130, 109449, 5pp (2020).
[10] Koshy, T., Fibonacci and Lucas Numbers with Applications, Wiley-Interscience, New York (2001).
[11] Melham, R.S., A Fibonacci Identity in the Spirit of Simson and Gelin-Cesáro. Fibonacci Quart., 41(2), 142-143 (2003).
[12] Nanhongkai, S., and Leerawat, U., On generating function for Dk-sequences in Pascal’s triangle, J. Discret. Math. Sci. Cryptogr., 21(7-8), 1529-1535 (2018).
[13] Shablya, Y.V., Kruchinin, D. V., and Shelupanov, A. A., New properties of a composition of ordinary generating functions for primes, J. Discret. Math. Sci. Cryptogr., 24(4), 917-930 (2021).
[14] Sloane N. J. A., The on-line encyclopedia of integer sequences. Available in http://oeis.org/
