the Fibonacci sequence is a sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence...

In mathematics, the random Fibonacci sequence is a stochastic analogue of the Fibonacci sequence defined by the recurrence relation f n = f n − 1 ± f...

and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci. Fibonacci was born around 1170 to Guglielmo...

A Fibonacci word is a specific sequence of binary digits (or symbols from any two-letter alphabet). The Fibonacci word is formed by repeated concatenation...

In mathematics, the Fibonacci numbers form a sequence defined recursively by: F n = { 0 n = 0 1 n = 1 F n − 1 + F n − 2 n > 1 {\displaystyle...

A Fibonacci prime is a Fibonacci number that is prime, a type of integer sequence prime. The first Fibonacci primes are (sequence A005478 in the OEIS):...

The Fibonacci numbers are a sequence of integers, typically starting with 0, 1 and continuing 1, 2, 3, 5, 8, 13, ..., each new number being the sum of...

implementations for calculating fibonacci sequence, fibonacci uses regular recursion and fibonacci_mem uses memoization. fibonacci_mem is much more efficient...

generator. These are based on a generalisation of the Fibonacci sequence. The Fibonacci sequence may be described by the recurrence relation: S n = S n...

relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, ... (the Fibonacci sequence) is formed by starting with 0 and 1 and then...

The Fibonacci Sequence is a British chamber ensemble cofounded by horn player Stephen Stirling in 1984. Purposefully flexible, the ensemble is capable...

finance, Fibonacci retracement is a method of technical analysis for determining support and resistance levels. It is named after the Fibonacci sequence of...

golden spiral arms make with a line from the center of the spiral. Fibonacci sequence Golden angle Golden ratio Golden rectangle List of spirals Logarithmic...

For example, consider the recursive formulation for generating the Fibonacci sequence: Fi = Fi−1 + Fi−2, with base case F1 = F2 = 1. Then F43 = F42 + F41...

closely related Fibonacci sequence. Individual numbers in the Lucas sequence are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary...

to the Fibonacci number sequence, the sequence that is made by adding the previous two terms – 1, 2, 3, 5, 8, 13, 21... The Fibonacci sequence manifests...

In mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers. The polynomials...

subscript n refers to the nth element of the sequence; for example, the nth element of the Fibonacci sequence F {\displaystyle F} is generally denoted as...

The sequence of Lucas numbers (not to be confused with the generalized Lucas sequences, of which this is part) is like the Fibonacci sequence, in that...

the Fibonacci sequence can be represented as: a , b = ( 0 , 1 ) : ( b , a + b ) {\displaystyle a,b=(0,1):(b,a+b)} Because the Fibonacci sequence is a...

Such an array may be called a "Fibonacci Box". Note that q′, q, p, p′ is a generalized Fibonacci sequence. Taking column, row, and diagonal products...

philosophy of Erlang. A tail recursive algorithm that produces the Fibonacci sequence: %% The module declaration must match the file name "series.erl" -module(series)...

him to conclude that "The Fibonacci Summation Series is the basis of The Wave Principle". Numbers from the Fibonacci sequence surface repeatedly in Elliott...

numerical sequence. Although the resulting Fibonacci sequence dates back long before Leonardo, its inclusion in his book is why the sequence is named after...

feature can also be used to implement infinite sequences, e.g., the sequence of Fibonacci numbers. Java does not have an equivalent feature. Instead, generators...

pow(x;y) is x to the power y. A tacit jq program for generating the Fibonacci sequence would be: [0,1] | recurse( [last, add] ) | first Here, [0,1] is the...

linear recurrence sequence, linear-recursive sequence, linear-recurrent sequence, or a C-finite sequence. For example, the Fibonacci sequence 0 , 1 , 1 , 2...

a Fibonacci number sequence, where each subsequent number in the sequence is the sum of the prior two: ⎕CR 'Fibonacci' ⍝ Display function Fibonacci...

In computer science, the Fibonacci search technique is a method of searching a sorted array using a divide and conquer algorithm that narrows down possible...

representations may not be unique. For example, in the Fibonacci arithmetic system, based on the Fibonacci sequence, the number 17 can be encoded in six different...