What are the next few numbers in the following sequence?

0.1, 0.2, 0.4, 0.7, 1.2, 2.0, 2.13, 2.34, 2.68, 3.23, 4.12, 4.264, ...

**Note:** the original problem erroneously listed the last term of the sequence as 4.263 - this has been fixed

The Fibonnaci sequence is defined by

f(n) = (phi^n - (1-phi)^n)/sqrt(5)

where phi = (1+sqrt(5))/2.

As 10 = phi^4.7849719668, every four or five terms there will be a new shift of decimal positions.

This would explain the fourier analysis by Larry.