Abstract
We begin with a six-fold description of the Catalan numbers C n.
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Notes and References
M. Aigner (2001): Catalan and other numbers—a recurrent theme. In: Algebraic Combinatorics and Computer Science, Crapo and Senato, eds., 347–390. Springer, Berlin.
T.S. Chihara (1978): An Introduction to Orthogonal Polynomials. Gordon & Breach, New York.
J. Favard (1935): Sur les polynômes de Tchebicheff. C.R. Acad. Sci. Paris 200, 2052–2053.
P. Flajolet (1980): Combinatorial aspects of continued fractions. Discrete Math. 32, 125–161.
J. Riordan (1975): The distribution of crossings of chords joining pairs of 2n points on a circle. Math. Computation 29, 215–222.
S. Roman (1984): The Umbral Calculus. Academic Press, Orlando.
G.-C. Rota (1975): Finite Operator Calculus. Academic Press, New York.
L.W. Shapiro, S. Getu, W.-J. Woan, and L.C. Woodson (1991): The Riordan group. Discrete Appl. Math. 34, 229–239.
G. Szegő (1967): Orthogonal Polynomials, 2nd edition. Amer. Math. Soc. Coll. Publ., vol. 23. Amer. Math. Soc., New York.
J. Touchard (1952): Sur une problème de configurations et sur les fractions continues. Canad. J. Math. 4, 2–25.
G. Viennot (1984): Une théorie combinatoire des polynômes orthogonaux. Lecture notes, Univ. Quebec.
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(2007). The Catalan Connection. In: A Course in Enumeration. Graduate Texts in Mathematics, vol 238. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39035-0_8
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DOI: https://doi.org/10.1007/978-3-540-39035-0_8
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