# Fibonacci numbers

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Related to Fibonacci numbers: Golden ratio

## Fi•bo•nac′ci num`bers

(ˌfi boʊˈnɑ tʃi)

n.pl.
the unending sequence 1, 1, 2, 3, 5, 8, 13, 21, … where each term is defined as the sum of its two predecessors. Also called Fibonac′ci se`quence.
[1890–95; after Leonardo Fibonacci, 13th-century Italian mathematician]
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References in periodicals archive ?
Santos has so far authored four books, all of which were bought by the Bank of Spain for use by their traders, based on the patterns of Elliott Wave Theory and Fibonacci numbers. These models focus on human psychology and predictable behavioral patterns.
Although he is most famous for the Fibonacci numbers -- which, it so happens, he didn't invent -- Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand.
The activities cover numbers as geometric shapes, combinatorics, Fibonacci numbers, Pascal's triangle, area, and selected warmup and challenging problems.
"This piece is governed by Fibonacci numbers (a series of numbers created by adding up the two numbers before it) and a golden section (a special number which can be found by looking at the ratio of two Fibonacci numbers).
The sequence of Fibonacci numbers is defined by the recurrence relation
Jane Forte shares a scaffolded mathematics assessment task based on the Fibonacci numbers. This work has resulted in students making connections and viewing the world a little differently with the assistance of mathematics.
Sundaram, "Secured Communication through Fibonacci Numbers and Unicode Symbols," International Journal of Scientific & Engineering Research, vol.
We investigate a non-adaptive sequence based on Fibonacci numbers, which results in a rapidly increasing block size and a number of steps of the same order as for a fixed block size when the restarting parameter is large.
Given the appearance of the Fibonacci numbers in the lists we might suspect a Fibonacci-like process in the coefficients.
Horadam, "A synthesis of certain polynomial sequences," Application of Fibonacci Numbers, vol.
The Fibonacci numbers satisfy the recurrence relation [F.sub.n] = [F.sub.n-1] + [F.sub.n-2] with the initial conditions [F.sub.0] = 0 and [F.sub.1] = 1.

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