If your allowance double every week, then it was 1/2 as much last week.
Since it is 2.56 now, it was (1/2)x(2.56) = 1.28 last week.
The week before, it was (1/2)x(1.28) = 0.64.
And, the week before that, it was (1/2)(0.64) = 0.32.
So, three weeks ago, it was 0.32.