Catalan Numbers with Applications

ISBN: 9780195334548 出版年：2009 页码：439 Koshy, Thomas Oxford University Press

1. Bionomial Coefficients 2. The Central Binomial Coefficient 3. The Central Binomial Coefficient Revisited 4. Binomial Coeffiecients Revisited 5. Catalan Numbers 6. The Ubiquity of Catalan Numbers I 7. The Ubiquity of Catalan Numbers II 8. Trees and Catalan Numbers 9. Lattice Paths and Catalan Numbers 10. Partitions and Catalan Numbers 11. Algebra, Sports, and Catalan Numbers 12. Catalan Numbers and Pascal's Triangle 13. Divisibilty Properties 14. A Catalan Triangle 15. A Family of Binary Words 16. Tribinomial Coefficients 17. Generalized Catalan Numbers