Catalan numbers with applications /
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Main Authors: | |
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Corporate Authors: | |
Published: |
Oxford University Press,
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Publisher Address: | Oxford ; New York : |
Publication Dates: | 2009. |
Literature type: | eBook |
Language: | English |
Subjects: | |
Online Access: |
http://www.iresearchbook.cn/f/ebook/detail?id=064d3582c54d492fbe4c07f2e1b8c642 |
Carrier Form: | 1 online resource (xiv, 422 pages) : illustrations |
Bibliography: | Includes bibliographical references (pages 395-407) and index. |
ISBN: |
9780199715190 9780195334548 |
Index Number: | QA431 |
CLC: | O18 |
Contents: | 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. |