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The Motzkin family. (English) Zbl 0756.05003

The paper makes a systematic study of the ways of expressing Motzkin numbers, central trinomial coefficients and Catalan numbers through the others. Generating functions are used in the proofs and are also used to obtain asymptotic formulae.

MSC:

05A15 Exact enumeration problems, generating functions
05A16 Asymptotic enumeration
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