Identities for the Fibonacci powers

• Autores: Alex Cheng, Hongwei Chen
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 4, 2008, págs. 534-541
• Idioma: inglés
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• Resumen

  • Based on the generating functions, for any positive integers n and k, the identities in the Form [image omitted] are established and the explicit formula for ai(k) in terms of Fibonomial coefficients are presented. The corresponding results are extended to some other famous sequences including Lucas and Pell sequences as well.