StokicDusan / LucasSequence

Lucas Sequence L is a sequence of numbers such that L(n) = L(n-1) + L(n-2)

Welcome to LucasSequence

Lucas Sequence $L$ is a sequence of numbers such that $L(n) = L(n-1) + L(n-2)$

What does the script do?

The script prints numbers of the Lucas Sequence on the command line or just the last number given the number if iterations.

lucasSequence.py :

This script is ready to use script which uses three arguments. The arguments determine the values for $L(0)$ and $L(1)$ and how many iterations to go through, respectively.

lucas_sequence:

Function prints numbers divided by a space character.
Invoking the script runs this function.

lucas_sequence_timer:

Function prints numbers divided by a space character and the time taken for the calculation.

lucas_sequence_last:

Function prints the last number in the sequence.

lucas_sequence_last_timer:

Function prints the last number in the sequence and the time taken for the calculation.

Installing the dependencies

Used packages

This script require the time, math, sys and doctest package.

How to use it

1. Clone this repository:

$ git clone https://github.com/StokicDusan/LucasSequence
$ cd LucasSequence/

2. Launch:

In the command line simply invoke the script with three arguments:

$ python lucasSequence.py argv1 argv2 argv3 

• argv1, argv2:
  Any integer
• argv3:
  Any positive integer

⚠️ Note: Other inputs will result in an error

Invoking the script with no or less arguments will run testmod().

Examples

The following code block shows examples of calling the lucasSequence script from terminal.

$ python3 lucasSequence.py 0 0 6
0 0 0 0 0 0 

$ python3 lucasSequence.py 2 1 10
2 1 3 4 7 11 18 29 47 76 

$ python3 lucasSequence.py 1 1 12
1 1 2 3 5 8 13 21 34 55 89 144 

$ python3 lucasSequence.py 2308 4261 5
2308 4261 6569 10830 17399

$ python3 lucasSequence.py 5 -20 4
5 -20 -15 -35

Provide Feedback 👍

If you encounter any bugs or have suggestions, please file an issue in the Issues section of the project.