Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-14T07:38:34.000Z Has data issue: false hasContentIssue false
  • English
  • Français

95.13 Some divisibility properties of Catalan numbers

Published online by Cambridge University Press:  23 January 2015

Thomas Koshy  and
Zhenguang Gao
Thomas Koshy
Affiliation:
Department of Mathematics, Framingham State University, Framingham, MA 01701-9101, USA
Zhenguang Gao
Affiliation:
Department of Computer Science, Framingham State University, Framingham, MA 01701-9101, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Information
The Mathematical Gazette , Volume 95 , Issue 532 , March 2011 , pp. 96 - 102
Copyright
Copyright © The Mathematical Association 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Cohen, D. I. A., Basic Techniques of Combinatorial Theory, Wiley, New York, 1978.Google Scholar
2. Häggmark, P., Pascal + Fermat → Gauss, Math. Gaz. 61 (1977) pp. 285–288.CrossRefGoogle Scholar
3. Koshy, T., Catalan Numbers with Applications, Oxford University Press, New York, 2009.Google Scholar
4. Larcombe, P. J., The 18th Century Chinese discovery of the Catalan numbers, Mathematical Spectrum 32 (1999) pp. 5–7.Google Scholar
5. Lobb, A., Deriving the nth Catalan number, Math. Gaz. 83 (1999), pp. 109–110.CrossRefGoogle Scholar
6. Koshy, T., Lobb's Generalisation of Catalan's parenthesisation problem, College Mathematics Journal 40 (2009) pp. 99–107.CrossRefGoogle Scholar
7. Dacic, R. M., Mersenne numbers and binomial coefficients, Mathematics Magazine 54 (1981) p. 32.CrossRefGoogle Scholar
8. Koshy, T. and Salmassi, M., Parity and primality of Catalan numbers, College Mathematics Journal 37 (2006) pp. 52–53.CrossRefGoogle Scholar