What are the easy ways of plotting solutions to heat equations?

I have been trying to plot a heat equation solution that contains a sum series sign and had a lot of trouble. I have been using the for loop and symsum so far. The plots are looking like a steady state solution which is not correct. I am sure that I am not able to evaluate the sum series correctly. Any ideas? Thanks!

[Matt Fig]

Your question is vague. Give some code that works so we can see what you are talking about. Also, describe what you expect to see as opposed to what the code produces....