Problem 57517. Easy Sequences 90: Triple Summation of a Combinatorial Function

Given a positive integer x, we are asked to evaluate the following triple summation:
The symbol is the combination function, nchoosek in Matlab. Therefore, we can write the function in Matlab as follows:
>> S = @(x) sum(arrayfun(@(y) sum(arrayfun(@(n) sum(arrayfun(@(k) ((-4)^k*nchoosek(n,k)/nchoosek(2*k,k)),0:n)),0:y)),0:x));
Hence, for , we have:
>> S(5)
>> ans =
-1.3302
Please round-off the output to the nearest 4 decimal places.
Solve

Solution Stats

100.0% Correct | 0.0% Incorrect
Last Solution submitted on Oct 13, 2024

Solution Comments

Show comments

Problem Recent Solvers2

Suggested Problems

More from this Author116

Community Treasure Hunt

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

Start Hunting!