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- Fibonacci_number abstract "In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence:or (often, in modern usage):(sequence A000045 in OEIS).By definition, the first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relationwith seed valuesorThe Fibonacci sequence is named after Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics. By modern convention, the sequence begins either with F0 = 0 or with F1 = 1. The Liber Abaci began the sequence with F1 = 1, without an initial 0.Fibonacci numbers are closely related to Lucas numbers in that they are a complementary pair of Lucas sequences. They are intimately connected with the golden ratio; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... . Applications include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings, such as branching in trees, phyllotaxis (the arrangement of leaves on a stem), the fruit sprouts of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone.".
- Fibonacci_number thumbnail FibonacciBlocks.svg?width=300.
- Fibonacci_number wikiPageExternalLink kmath078.htm.
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- Fibonacci_number wikiPageRevisionID "606467443".
- Fibonacci_number hasPhotoCollection Fibonacci_number.
- Fibonacci_number id "p/f040020".
- Fibonacci_number name "Fibonacci Numbers".
- Fibonacci_number sequencenumber "A000045".
- Fibonacci_number title "Fibonacci numbers".
- Fibonacci_number subject Category:Articles_containing_proofs.
- Fibonacci_number subject Category:Fibonacci_numbers.
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- Fibonacci_number comment "In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence:or (often, in modern usage):(sequence A000045 in OEIS).By definition, the first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relationwith seed valuesorThe Fibonacci sequence is named after Fibonacci. ".
- Fibonacci_number label "Ciąg Fibonacciego".
- Fibonacci_number label "Fibonacci number".
- Fibonacci_number label "Fibonacci-Folge".
- Fibonacci_number label "Rij van Fibonacci".
- Fibonacci_number label "Sequência de Fibonacci".
- Fibonacci_number label "Successione di Fibonacci".
- Fibonacci_number label "Sucesión de Fibonacci".
- Fibonacci_number label "Suite de Fibonacci".
- Fibonacci_number label "Числа Фибоначчи".
- Fibonacci_number label "عدد فيبوناتشي".
- Fibonacci_number label "フィボナッチ数".
- Fibonacci_number label "斐波那契数列".
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- Fibonacci_number sameAs Sucesión_de_Fibonacci.
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- Fibonacci_number sameAs Bilangan_Fibonacci.
- Fibonacci_number sameAs Successione_di_Fibonacci.
- Fibonacci_number sameAs フィボナッチ数.
- Fibonacci_number sameAs 피보나치_수.
- Fibonacci_number sameAs Rij_van_Fibonacci.
- Fibonacci_number sameAs Ciąg_Fibonacciego.
- Fibonacci_number sameAs Sequência_de_Fibonacci.
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- Fibonacci_number wasDerivedFrom Fibonacci_number?oldid=606467443.
- Fibonacci_number depiction FibonacciBlocks.svg.
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