Awesome

(to borrow a quote from Abstruse Goose): This is awesome served with a side dish of awesome.
Even for those who tried out Mathematica, this is a whole new world. Check it out!!!
I never believed it that most of Computer Programming was Magic but after checking out Wolfram Alpha I'm a convert.
Here's an engine that can churn out formula for n-th term of the series in seconds when it took me a while just to phrase the question. Amazing!