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Fibonacci sequence

In mathematics, 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 are known as Fibonacci numbers, commonly denoted Fn . The initial elements of the sequence are F1 = 1 and F2 = 1, though many authors also include a zeroth element F0 = 0. Starting from…

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Overview

History

Relation to the golden ratio

Matrix form

Combinatorial identities

Other identities

Generating functions

Reciprocal sums

Primes and divisibility

Generalizations

Applications

Works cited

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Fibonacci sequence

Nodes237
Edges236
Triples108
Avg. degree1.99
Density0.008439
Components1

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Fibonacci sequence

Top relations

related to India · 18
Fibonacci sequence → AD, BC, Bharata Muni, Counting, Fibonacci, Fm, Gopala, However, In, Indian, Knowledge, Natya Shastra, Pingala, Pingala's, Sanskrit, Singh, The Fibonacci, Virahanka
related to Other · 16
Fibonacci sequence → Brasch, Brock, Fibonacci, Golden, However, In, Joseph Schillinger, Mario Merz, Mirman, Music, Scrum, See, Since, The, This, To
related to External links · 15
Fibonacci sequence → BBC, EMS Press, Encyclopedia, Examples, Fibonacci, Fibonacci Sequences Mod, Golden Ratio, In Our Time, Mathematics, MathPagesScientists, Mathuklasan, Modern World, Sequence, Sir Ram, YouTube
see also · 10
Fibonacci sequence → Applications, Binary, Conference, Fibonacci, Fibonacci Numbers, Infinite, Mathematics, Organization, Randomized, The Fibonacci Association
related to Nature · 9
Fibonacci sequence → Alexander Braun, Aloe, Fibonacci, Field, In, Karl Friedrich Schimper, Kepler, Lindenmayer, Przemysław Prusinkiewicz
related to Divisibility properties · 6
Fibonacci sequence → Every, Fibonacci, In, That, This, Thus
related to Europe · 6
Fibonacci sequence → At, Calculation, Fibonacci, Liber Abaci, The Book, The Fibonacci
related to Generalizations · 6
Fibonacci sequence → All, Binet's, Fibonacci, In, Some, The Fibonacci
related to Periodicity modulo n · 6
Fibonacci sequence → Determining, Fibonacci, However, If, Pisano, The
related to Exponential · 5
Fibonacci sequence → Binet's, Combined, Evaluating, Fibonacci, The

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Important terminology

fibonacci displaystyle numbers sequence number varphi sum frac also -1 end sqrt two right formula begin left psi ratio one

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Fibonacci sequenceis asequence in which each element is the sum of the two elements that precede it0.90text
Fibonacci sequenceis apower series s0.90text
Fibonacci sequenceis aexample of a divisibility sequence0.90text
the Fibonacci search techniqueinstance ofApplications of Fibonacci numbers include computer algorithms0.80text
the Fibonacci heap data structureinstance ofApplications of Fibonacci numbers include computer algorithms0.80text
and graphs called Fibonacci cubes used for interconnecting parallelinstance ofApplications of Fibonacci numbers include computer algorithms0.80text
distributed systemsinstance ofApplications of Fibonacci numbers include computer algorithms0.80text
μ-law.Some Agile teams use a modified series called theinstance ofThe number series compands the original audio wave similar to logarithmic methods0.80text
Fibonacci sequencerelated to Divisibility propertiesEvery0.60section
Fibonacci sequencerelated to Divisibility propertiesThus0.60section
Fibonacci sequencerelated to Divisibility propertiesFibonacci0.60section
Fibonacci sequencerelated to Divisibility propertiesIn0.60section

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