Fibonacci Numbers and Continued Fractions

Nicolai N. Vorobiew
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Nicolai N. Vorobiew: Russian Academy of Sciences

Chapter Chapter 3 in Fibonacci Numbers, 2002, pp 89-123 from Springer

Abstract: Abstract In this chapter we will be mostly concerned with expressions of the form 3.1 $$ {q_0} + {\frac{1}{{{q_1} + \frac{1}{{{q_2} + }}}}_{ \ddots + \frac{1}{{qn}}}} $$ where q 1, q 2,…,q n are positive integers, and q 0 is a nonnegative integer. Thus, in contrast to q 1, q 2,…,q n , the number q 0 may be equal to zero. In what follows we will always assume that q 0 has this somewhat special status, without mentioning it on each occasion.

Date: 2002
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DOI: 10.1007/978-3-0348-8107-4_4

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