Here's a little ditty related to some stuff I've been working on. This problem has managed to crash Mathematica, confuse Matlab, destroy my attempts at a symbolic solution, and cause Wolfram Alpha to throw a temper tantrum. In short, it's a nasty little bugger and I was wondering if anyone else wanted to take a crack at it:

Lim

_{N→∞} N/(2^

^{⌊Log2N⌋})

+10 Math points to anyone who can either solve it or demonstrate that there's no elementary solution