Abstract
Number sequences have been the subject of several research studies. From the algebraic properties to the generating matrices and generating functions of these sequences, all these topics and many others have been studied by several researchers and a vast bibliography covers this type of sequences. When in 2013 the first author had an initial contact with this topic, she soon turned to other sequences of numbers and began a careful investigation with great enthusiasm. A group of researchers interested in these themes was formed, based on the most recent works on this subject of number sequences, they developed new generalisations of some of them, introducing the respective definitions, properties and some results concerning those sequences. In this paper we propose a tour of our work involving the number sequences we have been studying over the past eight years, either jointly or individually.
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Acknowledgements
The first author is member of the Research Centre CMAT-UTAD and also a collaborating member of the Research Centre CIDTFF. The second author is member of the Research Centre CIDTFF. This research was partially financed by Portuguese Funds through FCT -Fundação para a Ciência e a Tecnologia, within the Projects UIDB/00013/2020, UIDP/00013/2020 and UIDB/00194/2020.
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Catarino, P., Campos, H. (2022). 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, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_24
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