# Fibonacci numbers

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Related to Fibonacci numbers: Golden ratio

## Fibonacci numbers

A series of whole numbers in which each number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, etc. Fibonacci numbers are used in a variety of algorithms, including stock market analysis. They are used to speed up binary searches, whereby the search is divided into the two previous numbers. For example, 13 items are divided into 8 and 5 items, and 8 items are divided into 5 and 3.
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References in periodicals archive ?
Shiokawa, Transcendence of RogersRamanujan continued fraction and reciprocal sums of Fibonacci numbers, Proc.
As an aside, we should note that when s = 32, the truncated Fibonacci numbers do not neatly add up to m = 96.
For completeness, we should prove the three lemmas concerning Fibonacci numbers that were used in the proof that [c.sub.n][t.sub.2n+1] = [s.sub.4n-2].
Yang, "Melham's conjecture on odd power sums of Fibonacci numbers," Quaestiones Mathematicae, vol.
The k-th order generalized Fibonacci numbers form a sequence of positive integers [F.sub.n], where [F.sub.0] = [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and for n > 0 satisfy the recurrence [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]
Technically speaking, Silver is looking at a relatively blue sky scenario, with most of the moving average, and Fibonacci numbers broken.
Division of Science, Mathematics, and Engineering--USC Sumter Connections between Fibonacci Numbers and Lucas Numbers
But now, in this shallow age, the names we give to theories and concepts are just as important as their potential - the theories and formulae we recall from childhood maths all had great names - that's why we could remember them for exams: Fibonacci numbers, Fermat, Pythagoras, and Tribonacci sequences.
The Fibonacci numbers, that sequence beginning 1,1,2,3,5,8,13.
Fibonacci numbers and the Turing machine are among the numerical terms and concepts.
Among his topics are Fibonacci numbers, equi-angular lines, covering a cube minus one vertex, walking in the yard, turning a ladder over a finite field, the secret agent and the umbrella, and cutting cheaply using eigenvectors.
Campbell's GROWING PATTERNS: FIBONACCI NUMBERS IN NATURE (9781590787526, \$17.95) a survey including color photos by Sarah C.

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