Trying to write a script to calculate a sum

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Michael Vaughan 2020-9-26

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https://ww2.mathworks.cn/matlabcentral/answers/600364-trying-to-write-a-script-to-calculate-a-sum

回答： Alan Stevens 2020-9-26

Can somebody show me how to write a script to calculate the following function of N? It just confuses me a bit because if N is an even number then it may very well be the the lower and upper index are not integers... I don't know what the best way to deal with this hurdle is, perhaps make the function go from a negative integer to a positive integer then make a necessary substitution??

I'm not sure.. But i'd love to see what you guys come up with. I'm slowly learning how to write basic programs, but this one is a bit out of my league, and I'd appreciate if somebody could show me how

p.s. how do I make the LaTeX formatting turn on??

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David Hill 2020-9-26

编辑：David Hill 2020-9-26

Works fine for N (odd). Where did you get the equation? Are you sure there is not another equation for N (even). The above equation does not work for N (even).

Michael Vaughan 2020-9-26

The equation is from a reputable source, a paper of https://en.wikipedia.org/wiki/Efstratia_Kalfagianni

It is implied that you take the sum as j increases by 1 at each iteration of the summation. Since the top and bottom index are opposites of eachother, this is well defined

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