Catalan numbers

By Gerry Leversha. Mathematical Gazette, 2017

692 citations recorded by the source corpus.

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Meixner-Type Results for Riordan Arrays and Associated Integer Sequences (2010, methodology): “The result again follows from the techniques of [1, 6].”
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms (2011, background): “While partly expository in nature, the note assumes a certain familiarity with integer sequences, generating functions, orthogonal polynomials [5, 12, 30], Riordan arrays [25, 29], production matrices [10, 23], and the Hankel transform of sequences [2, 7, 20].”
Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics (2019, background): “The result (7) should perhaps be compared with the realization of C(m) as the unweighted count of unlabelled ordered trees with m+1 vertices (see [50] for instance).”