How many ways are there to seat n couples around a circular table such that no couple sits next to each other?
I'm really not sure where to start with this one...I was able to find another question that is similar, but I'm not sure if the answer is the same since the question restricts the couples so they can't sit across from one another as opposed to next to each other like in my question. Here is the link to that question's page on stack exchange: https://math.stackexchange.com/questions/374367/problem-about-n-couples-sitting-at-a-round-table