Catalan numbers with applications
Thomas Koshy (Author)
This title presents a comprehensive introduction to Catalan numbers. They crop up in chess, computer programming and even train tracks. In addition to lucid descriptions of the mathematics and history behind Catalan numbers, the author includes short biographies of the prominent mathematicians who have worked with the numbers
1 online resource (xiv, 422 pages) : illustrations
9780199715190, 9780199868766, 9786611980658, 019971519X, 019986876X, 6611980652
302001456
Binomial coefficients
The central binomial coefficient
The central binomial coefficient revisited
Binomial coefficients revisited
Catalan numbers
The ubiquity of Catalan numbers I
The ubiquity of Catalan numbers II
Trees and Catalan numbers
Lattice paths and Catalan numbers
Partitions and Catalan numbers
Algebra, sports, and Catalan numbers
Pascal's triangle and Catalan numbers
Divisibility properties
A Catalan triangle
A family of binary word
Tribinomial coefficients
Generalized Catalan numbers