Rippon, Philip and Taylor, Harold
(2004).
*Fibonacci Quarterly*, 42(2) pp. 170–180.

URL: | http://www.engineering.sdstate.edu/~fib/fibpreviou... |
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## Abstract

The continued fraction for , where is a positive integer, has the periodic form

where is a palindrome and . The period is assumed to be

of minimal length. We give several new results concerning the intriguing question: How can we distinguish between those integers for which is even and

those for which is odd?

Item Type: | Journal Article |
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ISSN: | 0015-0517 |

Extra Information: | Some of the symbols may not have transferred correctly into this bibliographic record. |

Keywords: | continued fraction; square root; period; Euler-Muir theorem. |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Item ID: | 3631 |

Depositing User: | Philip Rippon |

Date Deposited: | 30 Jun 2006 |

Last Modified: | 14 Jan 2016 15:56 |

URI: | http://oro.open.ac.uk/id/eprint/3631 |

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