# On a result of Bunder involving horadam sequences: A new proof

Journal article

Larcombe, Peter J., Bagdasar, Ovidiu and Fennessey, Eric J. 2014. On a result of Bunder involving horadam sequences: A new proof.

*Fibonacci Quarterly.*Authors | Larcombe, Peter J., Bagdasar, Ovidiu and Fennessey, Eric J. |
---|---|

Abstract | This note offers a new proof of a 1975 result due to M. W. Bunder which has recently been proven (inductively), extended empirically and generalized in this journal. The proof methodology, while interesting, cannot be applied realistically beyond the original order two case of Bunder dealt with here. |

Keywords | Recurrent Sequences; Horadam sequence; Discrete mathematics |

Year | 2014 |

Journal | Fibonacci Quarterly |

Publisher | Fibonacci Association |

ISSN | 0015-0517 |

Web address (URL) | http://hdl.handle.net/10545/620891 |

http://creativecommons.org/licenses/by/4.0/ | |

hdl:10545/620891 | |

Publication dates | 02 May 2014 |

Publication process dates | |

Deposited | 17 Nov 2016, 12:38 |

Contributors | University of Derby |

File | File Access Level Open |

File | File Access Level Open |

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https://repository.derby.ac.uk/item/954q7/on-a-result-of-bunder-involving-horadam-sequences-a-new-proof

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Jarvis, Frazer A., Larcombe, Peter J. and Fennessey, Eric J. 2014. Some factorisation and divisibility properties of Catalan polynomials.*Bulletin of the Institute of Combinatorics and its Applications (ICA).*

##### Generalised Catalan polynomials and their properties

Larcombe, Peter J., Jarvis, Frazer A. and Fennessey, Eric J. 2014. Generalised Catalan polynomials and their properties.*Bulletin of the Institute of Combinatorics and its Applications (ICA).*

##### The Asymptotic Form of the Sum $\sum_{i=0}^{n} i^{p} { n+i \choose i }$: Two Proofs

Larcombe, Peter J., Kirschenhofer, Peter and Fennessey, Eric J. 2014. The Asymptotic Form of the Sum $\sum_{i=0}^{n} i^{p} { n+i \choose i }$: Two Proofs.*Utilitas Mathematica.*

##### On some functions involving the lcm and gcd of integer tuples

Bagdasar, Ovidiu 2014. On some functions involving the lcm and gcd of integer tuples.*Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics.*https://doi.org/10.5937/SPSUNP1402091B