30 Jan
2013
30 Jan
'13
8:27 p.m.
While studying something apparently unrelated, I came upon a function f: N_0 -> N_0 (where N_0 denotes {0,1,2,3,...}) with this curious property: f(2n) + 2 = f(n)^2. Puzzle: Find a closed-form asymptotic expression for f(n). --Dan