Somebody asked for a series that sums to an algebraic irrational a time ago. With easy rational summands, of course.
And here is the easy answer: Compute the MacLaurin series of sqrt(1+x). Terms are like 1*3*5*7/2*4*6*8 or the like. I hope x=1 is within the convergence radius (and if not,x=1/2 surely is!) Thus you get a nice series for sqrt(2). -- Hauke Reddmann <:-EX8 email@example.com PRIVATE EMAIL firstname.lastname@example.org BACKUP email@example.com SCIENCE ONLY