Research Output

A note on the asymptotic behaviour of a prime factor decomposition of the general Catalan-Larcombe-French number.

  The Catalan-Larcombe-French sequence has been studied in several previous papers [P. J. Larcombe and D. R. French, Congr. Numerantium 143, 33-64 (2000; Zbl 0971.05001) and ibid. 148, 65-91 (2001; Zbl 0999.05003)]. The second of these papers derived a formula for the exponent of 2 in the prime factorization of these numbers. The present paper computes an easily derived asymptotic for that exponent; it does not discuss results concerning any other prime factors.

  • Type:

    Article

  • Date:

    30 November 2001

  • Publication Status:

    Published

  • Publisher

    Winnipeg, Man. : Utilitas Mathematica Pub.

  • Library of Congress:

    QA Mathematics

  • Dewey Decimal Classification:

    510 Mathematics

Citation

Larcombe, P. J., French, D. R. & Woodham, C. A. (2001). A note on the asymptotic behaviour of a prime factor decomposition of the general Catalan-Larcombe-French number. Congressus numerantium. 156, 17-25. ISSN 0384-9864

Authors

Keywords

combinatorics; graph theory; computing;

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