Positive definite matrices and Catalan numbers, revisited
نویسندگان
چکیده
منابع مشابه
Catalan Numbers Revisited
/ _ _ \ We define the nth Catalan number to be C n = ~ z ~ l / ( n + 1). It is ~ / known that the number of well-formed orderings of n open and n closed parentheses is C~ [3, pp. 60, 63, 64]. Many proofs of this fact involve recurrence relations and generating functions. Other proofs use combinatorial reasoning to show that the number of well-formed orderings is (2 : ) _ (~a~ 1), and then verif...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1984-0728375-5