Trying to write a script to calculate a sum

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??

[Ameer Hamza]

You can input the latex equation by eclosing the latex string in $$ on the same line. You can also use the Sigma button at the top of this textbox.

About your question: you should follow same method as answer by Alan to your other question here: https://www.mathworks.com/matlabcentral/answers/600322-need-help-programming-a-few-tricky-calculations?s_tid=srchtitle

[Michael Vaughan]

it's different though, because now my summation might be going from a non integer value to a non integer value, how do I get around that obstacle?

[David Hill]

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]

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

Answer 1

[Alan Stevens]

Simply let k = 2j and then you can write:

This will hold for both N even and N odd.