Pell identities via a quadratic field |
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Authors: | Martin Griffiths |
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Institution: | Mathematical Institute , University of Oxford , 24-25 St Giles’, Oxford , OX1 3LB , United Kingdom |
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Abstract: | 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. |
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Keywords: | binomial coefficients Pell numbers quadratic fields |
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