Browsing by Author "Acikel, Abdullah"

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    Intersection of Padovan and Tribonacci Sequences
    (Bulgarian Acad Science, 2023) Irmak, Nurettin; Acikel, Abdullah
    Assume that T-n is the n-th term of Tribonacci sequence and P-m is the m-th term of Padovan sequence. In this paper we solve the equation T-n = P-m completely.
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    Citation - Scopus: 1
    On K-Generalized Lucas Sequence With Its Triangle
    (Scientific And Technological Research Council Turkey, 2023) Acikel, Abdullah; Amrouche, Said; Belbachir, Hacene; Irmak, Nurettin
    In this paper, we investigate several identities of k -generalized Lucas numbers with k -generalized Fibonacci numbers. We also establish a link between generalized s -Lucas triangle and bi s nomial coefficients given by the coefficients of the development of a power of (1 + x + x2 + center dot center dot center dot + xs), with s is an element of N.