Powers of Two in Generalized Fibonacci Sequences
The k-generalized Fibonacci sequence \big(Fn(k)\big)n resembles the Fibonacci sequence in that it starts with 0,…,0,1 (k terms) and each term afterwards is the sum of the k preceding terms. In this paper, we are interested in finding powers of two that appear in k-generalized Fibonacci sequences; i.e., we study the Diophantine equation Fn(k)=2m in positive integers n,k,m with k≥ 2.
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| Autores principales: | , |
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| Formato: | Digital revista |
| Idioma: | English |
| Publicado: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2012
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| Acceso en línea: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262012000100005 |
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