Pell identities via a quadratic field

• Autores: Martin Griffiths
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 8, 2013, págs. 1268-1273
• Idioma: inglés
• DOI: 10.1080/0020739x.2013.790512
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• Resumen

  • In this article, we derive a number of identities involving both Pell numbers and binomial coefficients. We also consider briefly the potential for obtaining Pell identities involving trinomial coefficients and beyond. A key point is the simplicity of the derivations, and indeed this work can lead on to a number of interesting explorations for first-year undergraduates.