Some combinatorial and recurrence relations for shapes in a trellis

J. T. A. Christos, R. L. Ollerton, A. G. Shannon

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    Abstract

    ![CDATA[The first author in 2002 (when aged 10) raised a number of non-trivial questions, namely, in any representation of a trellis fence of a specified size: how many squares are there? How many symmetric crosses are there? How many rectangles are there? How many crosses, symmetric or asymmetric, are there? This paper outlines the salient features of the sub-problems in order to bring out the interplay of the combinatorial and number theoretic relations and to open up further related research.]]
    Original languageEnglish
    Title of host publicationCongressus Numerantium 200: Proceedings of the Twelfth International Conference on Fibonacci Numbers and Their Applications, San Francisco, Calif., 17-21 July 2006
    PublisherUtilitas Mathematica
    Pages245-254
    Number of pages10
    Publication statusPublished - 2010
    EventInternational Conference on Fibonacci Numbers and Their Applications -
    Duration: 17 Jul 2006 → …

    Publication series

    Name
    ISSN (Print)0384-9864

    Conference

    ConferenceInternational Conference on Fibonacci Numbers and Their Applications
    Period17/07/06 → …

    Keywords

    • combinatorial analysis
    • recurrent sequences (mathematics)

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