Solve Tricky Sequence: 1,2,3,4,5,8,7,16,9

[Angthomas]

The sequence is 1,2,3,4,5,8,7,16,9

I am absolutely stumped and cannot fathom the answer. Normally I can see the logic, can anyone help with the rule?

Thank you

 

[agentredlum]

The sequence is 1,2,3,4,5,8,7,16,9

I am absolutely stumped and cannot fathom the answer. Normally I can see the logic, can anyone help with the rule?

Thank you

Can you provide more terms?

Alright, here's my guess...the next 6 terms are 32, 11, 64, 13, 128, 15

The sequence is the positive integers. The odd numbers remain unchanged, the even numbers are replaced by powers of 2

2 is replaced by 2^1

4 is replaced by 2^2

6 is replaced by 2^3

8 is replaced by 2^4 You get the idea?