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

Created by Ramon Villamangca

Difficulty:Rate

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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.

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Last Solution submitted on Oct 13, 2024

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

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

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Last 200 Solutions

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Problem Recent Solvers2

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