Fibonacci sequence
- noun
- /ˌfɪbəˈnɑːtʃi ˈsiːkwəns/
- Specialized
- If you observe the arrangement of leaves around a stem, you may notice that they follow a Fibonacci sequence pattern.
Examples
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I decided to throw in three parallel tasks calculating the Fibonacci sequence up to 50, and the IIS Express still wouldn't utilize more than 13% of my CPU.
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It's like the Fibonacci sequence except starting at 2.
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That first one's a Fibonacci sequence.
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So here I'm this is a Fibonacci sequence that I'm making with a simple equation program.
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It's easy to prove that the number of recursive calls to the function also follows a Fibonacci sequence.
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Apparently you are running an implementation of a naive algorithm for computing the Fibonacci sequence.
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This algorithm has an exponential complexity: computational complexity of Fibonacci Sequence (O(1.6^n)).
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In mathematics, the Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding ones.
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The Fibonacci sequence can be seen in nature, such as in the number of petals on flowers, which often corresponds to the series.
Surface Forms
Morphology
Fibonacci + sequence
The noun 'sequence' gives a clear cue that this is an ordered set, so a learner could guess it refers to a particular kind of sequence; however 'Fibonacci' is a proper name that does not encode the generative rule. The defining property (each number is the sum of the two preceding numbers) is not derivable from the constituents, so the expression is only partially transparent.
Etymology
Fibonacci sequence is named after a man called Fibonacci who, long ago in Italy, told a simple rabbit story to show how numbers grow. In his puzzle each month's rabbit pairs were the 'sum of the two before', so today the sequence is a list where each number equals the sum of the two earlier numbers.