Pell identities via a quadratic field.

BINOMIAL coefficients; PELL'S equation; QUADRATIC fields; MATHEMATICAL sequences; IDENTITIES (Mathematics); MATHEMATICS education (Higher); YOUNG adults; HIGHER education

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. [ABSTRACT FROM PUBLISHER]

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