Problem 57646. Easy Sequences 93: Recursive Polynomial Function

Created by Ramon Villamangca

Solve Later

For a natural number x and a polynomial function , we define a recursive function , as follows:
                ,  and
                ,  for .
For example, if  (or in Matlab array form, P = [1 2 1]):
                
                
                
                
                ...
                
                and so on...
We can see that  can grow very quickly. Therefore, we will instead calculate: , that is, is equal to the logarithm (base-e) of the absolute value of .
Given a polynomial array P, and an integer x, find the value of , rounded-off to 4 decimal places.
----------------------
NOTE: To encourage vectorization , FOR and WHILE loops are disabled. If you know the math, this problem can be solved in less than 15 lines of code. However, solutions up to 50 lines of code will still be accepted. The semicolon (;), shall be considered as an end-of-line character. 

Solve

Solution Stats

3 Solutions
2 Solvers

Last Solution submitted on Apr 29, 2023

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Ramon Villamangca on 7 Feb 2023

Update:
1. Up to 50 lines of code is acceptable solution.
2. Link to a website explaining recursive closed form is added.

Solution Comments

Show comments

Problem Recent Solvers2

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 57646. Easy Sequences 93: Recursive Polynomial Function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Problem 57646. Easy Sequences 93: Recursive Polynomial Function

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers2

Suggested Problems

More from this Author116

Problem Tags

Community Treasure Hunt

Players