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

Larcombe, P J; French, D R; Woodham, C A

Abstract

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.

Citation

Larcombe, P. J., French, D. R., & Woodham, C. A. (2002). A note on the asymptotic behaviour of a prime factor decomposition of the general Catalan-Larcombe-French number. Congressus numerantium, 156, 17-25

• Journal Article Type: Article
• Publication Date: 2002
• Deposit Date: Jun 10, 2015
• Publicly Available Date: Jun 10, 2015
• Electronic ISSN: 0384-9864
• Peer Reviewed: Peer Reviewed
• Volume: 156
• Pages: 17-25
• Keywords: combinatorics; graph theory; computing
• Public URL: http://researchrepository.napier.ac.uk/id/eprint/8299