Fibonacci sequence


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Related to Fibonacci sequence: Golden ratio, Pascal's triangle

Fibonacci sequence

n.
The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, ... , in which each successive number is equal to the sum of the two preceding numbers.
[After Leonardo Fibonacci (died c. 1250), Italian mathematician.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Fibonacci sequence

(ˌfɪbəˈnɑːtʃɪ) or

Fibonacci series

n
(Mathematics) the infinite sequence of numbers, 0, 1, 1, 2, 3, 5, 8, etc, in which each member (Fibonacci number) is the sum of the previous two
[named after Leonardo Fibonacci]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

Fibonacci sequence

The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, ... , in which each successive number is equal to the sum of the two preceding numbers. Many shapes occurring in nature, such as certain spirals, have proportions that can be described in terms of the Fibonacci sequence.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun 1. 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 sequence of base pairs in DNA"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
Fibonacciho posloupnost
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While Max is plugging away at identifying the patterns buried within the stock market (or, per his example, 'the wax and wane of caribou populations'), the film itself is densely populated with numerical patterns - the most prominent being the Fibonacci sequence and its associated golden ratio.
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We denote the n-th term of the Fibonacci sequence by [F.sub.n] and the Binet form of [F.sub.n] is [[alpha].sup.n] - [[beta].sup.n]/[alpha] - [beta], where [alpha] = 1 + [square root of 5]/2 and [beta] = 1 - [square root of 5]/2.
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where [x.sub.0] = a, [x.sub.-1] = b, [x.sub.-2] = c, [y.sub.0] = d, [y.sub.-1] = e, [y.sub.-2] = f and where fn is the Fibonacci Sequence with [f.sub.-2] = 1, [f.sub.-1] = 0.
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For such a case, considering its simple operation, a modified type of Fibonacci sequence is used in our key generation algorithm.
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Variable Fibonacci sequence. We now introduce a variable block size based on a Fibonacci sequence.
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where [([f.sub.n]).sub.n[member of]N] is the Fibonacci sequence defined by [f.sub.n+2] = [f.sub.n+1] + [f.sub.n], [f.sub.1] = [f.sub.2] = 1.
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A Lucas sequence is a generalisation of the Fibonacci sequence. In this case
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