On the number of arithmetical operations for finding Fibonacci numbers
نویسندگان
چکیده
منابع مشابه
On the Fibonacci Numbers
The Fibonacci numbers are terms of the sequence defined in a quite simple recursive fashion. However, despite its simplicity, they have some curious properties which are worth attention. In this set of notes, we will look at some of the important features of these numbers. In the first half of the notes, our attention shall be paid to the relationship of the Fibonacci numbers and the Euclidean ...
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15 صفحه اولThe Number Field Q(/5) and the Fibonacci Numbers
where 0) = %(1 + V5) . It is well known that Z(OJ) is a Euclidean domain [6, pp. 214-15], and that the units of Z(oo) are given by ±0), where nEZ [6, p. 221]. The Binet formula _ _ Fn = (00 03)/((A) W) = (0D 0))/>/5, where 0) = %(1 v5) is the conjugate of 0), expresses the n Fibonacci number in terms of the unit 0). Simiarly, the n Lucas number is given by Ln = b) + 0)". Also, an elementary ind...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1989
ISSN: 0304-3975
DOI: 10.1016/0304-3975(89)90102-3