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...

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

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...

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

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...

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):...

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...

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...

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...

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

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...

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

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...

In the mathematical field of graph theory, the Fibonacci cubes or Fibonacci networks are a family of undirected graphs with rich recursive properties derived...

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

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...

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...

Lucas pseudoprimes and Fibonacci pseudoprimes are composite integers that pass certain tests which all primes and very few composite numbers pass: in...

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

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

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

array is an infinite matrix of positive integers derived from the Fibonacci sequence and named after Dutch mathematician Willem Abraham Wythoff. Every...

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...

founded the Fibonacci Association, which, also in 1963, began publishing The Fibonacci Quarterly, a journal that specializes in the Fibonacci sequence and its...