Weird Number Pattern

0, 1, 2 : the next one always the adding one of the number before

1, 2, 3 : this one too

3, 4, 5 : and also this one

 So, the next number after 7 is 8, and 9.

What about the last one?

What about the 1st, 4th, and 7th number pattern?

0, 1, 3, 7

from 0 to 1 : $2^{0}$

from 1 to 3 : $2^{1}$

from 3 to 7 : $2^{2}$

So, the last one is $7 + 2^{3} = 15$

The answer is $\boxed{8, 9, 15}$