On divisibility properties of certain fibonomial coefficients by a prime

Diego Marques, James A. Sellers, Pavel Trojovský

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Let (Fn)n≥o be the Fibonacci sequence. For 1 ≤ k ≤ m, the Fibonomial coefficient is defined as {equation presented}, for k > m. In this paper, we shall prove that if p is a prime number such that p ≡ -2 or 2 (mod 5), then p | {equation presented} for all a ≥ 1.

Original languageEnglish (US)
Pages (from-to)78-83
Number of pages6
JournalFibonacci Quarterly
Volume51
Issue number1
StatePublished - Feb 2013

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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  • Cite this

    Marques, D., Sellers, J. A., & Trojovský, P. (2013). On divisibility properties of certain fibonomial coefficients by a prime. Fibonacci Quarterly, 51(1), 78-83.