Trying to write a script to calculate a sum

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Michael Vaughan
Michael Vaughan 2020년 9월 26일
답변: Alan Stevens 2020년 9월 26일
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
David Hill 2020년 9월 26일
편집: David Hill 2020년 9월 26일
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
Michael Vaughan 2020년 9월 26일
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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Alan Stevens
Alan Stevens 2020년 9월 26일
Simply let k = 2j and then you can write:
This will hold for both N even and N odd.

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