### Abstract

Let (F
_{n}
)
_{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

Original language | English (US) |
---|---|

Pages (from-to) | 78-83 |

Number of pages | 6 |

Journal | Fibonacci Quarterly |

Volume | 51 |

Issue number | 1 |

State | Published - Feb 1 2013 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

### Cite this

*Fibonacci Quarterly*,

*51*(1), 78-83.

}

*Fibonacci Quarterly*, vol. 51, no. 1, pp. 78-83.

**On divisibility properties of certain fibonomial coefficients by a prime.** / Marques, Diego; Sellers, James Allen; Trojovský, Pavel.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On divisibility properties of certain fibonomial coefficients by a prime

AU - Marques, Diego

AU - Sellers, James Allen

AU - Trojovský, Pavel

PY - 2013/2/1

Y1 - 2013/2/1

N2 - Let (F n ) 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

AB - Let (F n ) 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

UR - http://www.scopus.com/inward/record.url?scp=84874897604&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874897604&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 78

EP - 83

JO - Fibonacci Quarterly

JF - Fibonacci Quarterly

SN - 0015-0517

IS - 1

ER -