Problem 57512. Easy Sequences 89: Double Summation of a Trigonometric Product

Given and angle A in radians and a positive integer x, evaluate the following product summation:
which 'directly' translates to Matlab as:
>> PS = @(A,x) sum(arrayfun(@(n) sum(arrayfun(@(m) prod(arrayfun(@(k) 2*sin(k*pi/m+A),0:m-1)),1:n)),1:x));
For example and :
>> x = 3; A = 1;
>> PS(A,x)
ans =
8.9683
Please present your answer rounded-off to nearest 4 decimal places.
Solve

Solution Stats

100.0% Correct | 0.0% Incorrect
Last Solution submitted on Nov 22, 2025

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