I recently answered the question which may be found here:
However, shortly after submitting the answer it is very clear that there are mathematical mistakes. The question is then, should I delete my answer?
The obvious and natural response is to just fix it, but at this stage, I feel like the reader already has more than a reasonable guideline to help them solve the problem. To fix it is for me to go back spend a fair bit of time recalculating a bunch of arbitrary coefficients for the reader.
I am very much an amateur at mathematics. If fixing this and even providing a complete solution should be fast, it is certainly not going to be for me. I am slow.
I hope this doesn't fly in the face of some of the great help and patience I've received so far, but I would rather delete my answer than sit for an hour (or more, like I said, I am slow) rearranging terms of a recurrence relation and making sure all my fractions add up when I gain no personal enjoyment out of it.