Barcucci, E.; Pinzani, R.; Sprugnoli, R. The Motzkin family. (English) Zbl 0756.05003 PU.M.A., Pure Math. Appl., Ser. A 2, No. 3-4, 249-279 (1991). 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. Reviewer: L.A.Székely (Albuquerque) Cited in 25 Documents MSC: 05A15 Exact enumeration problems, generating functions 05A16 Asymptotic enumeration Keywords:Motzkin numbers; trinomial coefficients; Catalan numbers; Generating functions PDFBibTeX XMLCite \textit{E. Barcucci} et al., PU.M.A., Pure Math. Appl., Ser. A 2, No. 3--4, 249--279 (1991; Zbl 0756.05003)