Fibonacci数列关于整除的若干性质
What is the Fibonacci sequence? Learn about the Fibonacci sequence definition, the golden ratio in nature, the Fibonacci spiral, and Fibonacci...
Mathematics - Number Theory11B39It is shown that there are no non-trivial fifth-, seventh-, eleventh-, thirteenth- or seventeenth powers in the Fibonacci sequence. For eleventh, thirteenth- and seventeenth powers an alternative (to the usual exhaustive check of products of powers of fundamental ...
Consider thePisano Periodsderived from the Fibonacci sequence. A Pisano Period, named after Fibonacci himself, is a set of numbers that cyclically repeat themselves. The numbers are remainders obtained from the division of Fibonacci numbers and a positive real number. One can divide the sequence wi...
In number theory a very famous sequence of numbers is the Fibonacci sequence. It has the form 1, 1,2,3,5,8 ..., where each subsequent number in the sequence is formed by adding together the two previous numbers. The Fibonacci sequence has many interesting properties and connections with ...
Using The Fibonacci Number Sequence in Elliott Wave Trading The Number sequence Fibonacci introduced, as far back as the 13th Century has been found to have many uses in technical analysis of the financial markets today.R.N Elliott himself described"The Fibonacci Summation Series is the basis of...
How to Calculate the Fibonacci Sequence? Mathematical calculations can determine the Fibonacci sequence. According to this method, every number in the sequence is regarded as a term denoted by the expression Fn. The n indicates where the given number falls in the sequence, which starts at 0. Fo...
Noun1.Fibonacci sequence- a sequence of numbers in which each number equals the sum of the two preceding numbers sequence- serial arrangement in which things follow in logical order or a recurrent pattern; "the sequence of names was alphabetical"; "he invented a technique to determine the seque...
Known For: Noted Italian mathematician and number theorist; developed Fibonacci Numbers and theFibonacci Sequence Also Known As: Leonard of Pisa Born: 1170 in Pisa, Italy Father: Guglielmo Died: Between 1240 and 1250, most likely in Pisa
The first two equations are essentially stating that the term in the first position equals 0 and the term in the second position equals 1. The third equation is a recursive formula, which means that each number of the sequence is defined by using the preceding numbers. For example, to defin...