1, 2, 2, 1, 2, 2, 4, 2, 8, 4, 32, 8, 256, ?, ?, ?, ...
I agree with Lisa's answersI got the same numbers but arrived at them in a different way:
Taking only the odd numbered positions in the sequence:
1, , 2, , 2, , 4, , 8, , 32, , 256, , ...
You see that after the first two positions, the next position is the product of the previous two: 8192, 2097152, 17179869184, ...
Taking only the even numbered positions in the sequence:
, 2, , 1, , 2, , 2, , 4, , 8, , ...
You see that after the first two positions, the next position is the product of the previous two (just like with the odd numbered positions): 32, 256, 8192, ...
No logs or fancy alternating +/ is required if you recognise that this sequence consists of two interleaved sequences.

Posted by Erik O.
on 20050621 15:28:13 