Explicit formulae for the continued fraction convergents of [image omitted]

• Autores: Peter Brazaitis
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 41, Nº. 1, 2010, págs. 126-131
• Idioma: inglés
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• Resumen

  • The formulae for the convergents of continued fractions are always given recursively rather than in explicit form. This article derives explicit formulae for the convergents of the continued fraction expansions for square roots.