Another Family of Fibonacci-like Sequences

Peter R.J. Asveld

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    Abstract

    We consider the family of difference equations Hn = H{n-1} + H{n-2} + $\sum_{j=0}^k$ γjn{(j)} with H0 = H1 = 1, n(j) = n(n-1)(n-2)...(n-j+1) for j≥1 and n(0) = 1. We express Hn in terms of the Fibonacci numbers and in the parameters γ1, . . . ,γk.
    Original languageEnglish
    Pages (from-to)361-364
    Number of pages4
    JournalThe Fibonacci Quarterly
    Volume25
    Issue number4
    Publication statusPublished - 1987

    Keywords

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

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    Asveld, P. R. J. (1987). Another Family of Fibonacci-like Sequences. The Fibonacci Quarterly, 25(4), 361-364.