- Title Pages
- Dedication
- Preface
- Symbols
- 1 Binomial Coefficients
- 2 The Central Binomial Coefficient
- 3 The Central Binomial Coefficient Revisited
- 4 Binomial Coefficients Revisited
- 5 Catalan Numbers
- 6 The Ubiquity of Catalan Numbers I
- 7 The Ubiquity of Catalan Numbers II
- 8 Tress and Catalan Numbers
- 9 Lattice Paths and Catalan Numbers
- 10 Partitions and Catalan Numbers
- 11 Algebra, Sports, and Catalan Numbers
- 12 Pascal' Triangle and Catalan Numbers
- 13 Divisibility Properties
- 14 A Catalan Triangle
- 15 A Family of Binary Words
- 16 Tribinomial Coefficients
- 17 Generalized Catalan Numbers
- Appendix A
- Appendix B The First 100 Catalan Numbers
- References
- Index of Mathematicians
- <i>Index</i>

# A Family of Binary Words

# A Family of Binary Words

- Chapter:
- (p.347) 15 A Family of Binary Words
- Source:
- Catalan Numbers with Applications
- Author(s):
### Thomas Koshy

- Publisher:
- Oxford University Press

This chapter generalizes the family of binary numbers studied in Chapter 5.

*Keywords:*
binary words, binomial coefficient, Catalan numbers, family

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .

- Title Pages
- Dedication
- Preface
- Symbols
- 1 Binomial Coefficients
- 2 The Central Binomial Coefficient
- 3 The Central Binomial Coefficient Revisited
- 4 Binomial Coefficients Revisited
- 5 Catalan Numbers
- 6 The Ubiquity of Catalan Numbers I
- 7 The Ubiquity of Catalan Numbers II
- 8 Tress and Catalan Numbers
- 9 Lattice Paths and Catalan Numbers
- 10 Partitions and Catalan Numbers
- 11 Algebra, Sports, and Catalan Numbers
- 12 Pascal' Triangle and Catalan Numbers
- 13 Divisibility Properties
- 14 A Catalan Triangle
- 15 A Family of Binary Words
- 16 Tribinomial Coefficients
- 17 Generalized Catalan Numbers
- Appendix A
- Appendix B The First 100 Catalan Numbers
- References
- Index of Mathematicians
- <i>Index</i>