Golden proportions for the generalized Tribonacci numbers

• Autores: Shah Devbhadra, Darshana Metha
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 6, 2009, págs. 837-842
• Idioma: inglés
• DOI: 10.1080/00207390902971940
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• Resumen

  • It is known that the ratios of consecutive terms of Fibonacci and Tribonacci sequences converge to the fixed ratio. In this article, we consider the generalized form of Tribonacci numbers and derive the 'golden proportion' for the whole family of this generalized sequence.