Families of linear recurrences for Catalan numbers

• Autores: N. Gauthier
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 1, 2011, págs. 131-139
• Idioma: inglés
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• Resumen

  • Four different families of linear recurrences are derived for Catalan numbers. The derivations rest on John Riordan's 1973 generalization of Catalan numbers to a set of polynomials. Elementary differential and integral calculus techniques are used and the results should be of interest to teachers and students of introductory courses in calculus and number theory.