Another Family of Fibonacci-like Sequences

P.R.J. Asveld

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    Abstract

    We consider the family of difference equations $H_n = H_{n-1} + H_{n-2} + \sum_{j=0}^k \gamma n^{(j)}$ with $H_0 = H_1 = 1$, $n^{(j)} = n(n-1)(n-2)\cdots(n-j+1)$ for $j\geq1$ and $n^{(0)} = 1$. We express $H_n$ in terms of the Fibonacci numbers and in the parameters $\gamma_1$, . . . , $\gamma_k$.
    Original languageEnglish
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Computer Science
    Number of pages5
    Publication statusPublished - 1986

    Publication series

    NameMemoranda Informatica
    PublisherUniversity of Twente, Department of Computer Science
    No.INF-86-06
    ISSN (Print)0924-3755

    Keywords

    • MSC-11B39
    • HMI-SLT: Speech and Language Technology

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