Mathstud likes series, as well as others. I enjoy a good one too. Here is one I thought was cool because of its familiar punchline.
Evaluate the sum:
Not that this is particularly difficult. I just liked it. Enjoy the holiday for those of you who celebrate the Fourth of July. Even if you're not American, take the time to enjoy anyway. Moo, you have Bastille Day coming up I think July 14th?. Do the French use it as an excuse to party as Americans do the fourth?.
If no one bites by tomorrow morning, I will post my attempt.
Actually I was trying a different approach too. I worked it out and posted it in the Definitely Integral thread. Actually your sum amounts to this integral:
and its easy to work this out. Check out wingless's solution.