zeck: Zeckendorf Representation
In numbers: Number-Theoretic Functions
zeck R Documentation
Zeckendorf Representation
Description
Generates the Zeckendorf representation of an integer as a sum of
Fibonacci numbers.
Usage
zeck(n)
Arguments
n
integer.
Details
According to Zeckendorfs theorem from 1972, each integer can be uniquely
represented as a sum of Fibonacci numbers such that no two of these are
consecutive in the Fibonacci sequence.
The computation is simply the greedy algorithm of finding the highest
Fibonacci number below n, subtracting it and iterating.
Value
List with components fibs the Fibonacci numbers that add sum up to
n, and inds their indices in the Fibonacci sequence.
Examples
zeck( 10) #=> 2 + 8 = 10
zeck( 100) #=> 3 + 8 + 89 = 100
zeck(1000) #=> 13 + 987 = 1000
numbers documentation built on Dec. 29, 2022, 4:07 p.m.
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| zeck | R Documentation |
Zeckendorf Representation
Description
Generates the Zeckendorf representation of an integer as a sum of Fibonacci numbers.
Usage
zeck(n)
Arguments
n |
integer. |
Details
According to Zeckendorfs theorem from 1972, each integer can be uniquely represented as a sum of Fibonacci numbers such that no two of these are consecutive in the Fibonacci sequence.
The computation is simply the greedy algorithm of finding the highest
Fibonacci number below n, subtracting it and iterating.
Value
List with components fibs the Fibonacci numbers that add sum up to
n, and inds their indices in the Fibonacci sequence.
Examples
zeck( 10) #=> 2 + 8 = 10 zeck( 100) #=> 3 + 8 + 89 = 100 zeck(1000) #=> 13 + 987 = 1000
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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