The Ubiquity of Catalan Numbers I
This chapter presents a number of occurrences of Catalan numbers in a number of quite unexpected places and their relationships among them. They include mountain ranges (or Dyck paths), noncrossing handshakes at a round table, various classes of binary words, triangular arrays, and n-tuples of nonnegative integers.
Keywords: Dyck paths, Raney's lemma, binary word, mountain ranges, noncrossing handshakes, triangular arrays, n-tuples
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