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.
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers1
Suggested Problems
-
39757 Solvers
-
Back to basics 18 - justification
196 Solvers
-
Duplicate each element of a vector.
596 Solvers
-
Piecewise linear interpolation
528 Solvers
-
32 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!