Fibonacci numbers and words
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Giuseppe Pirillo
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Article
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1997
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Elsevier Science
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English
β 521 KB
Let 4> be the golden ratio (xf5 + 1)/2, f, the nth Fibonacci finite word and f the Fibonacci infinite word. Let r be a rational number greater than (2 + q~)/2 and u a non-empty word. If u" is a factor of f, then there exists n ~> 1 such that u is a conjugate of f. and, moreover, each occurrence of u