Sequence builder 3n-1 from odd to odd

Current n: 17 (dec) 10001 (bin) mod 8 = 1

Action Select New odd number (dec) New odd number (bin) New odd number mod 8 Movement
n * 4 - 1 67 (Alias for 17) 1000011 3 Up  
n - (n-1)/3 (not possible)       Down
n + (n+1)/3 23 10111 7 Up  
Submit   1  5  17     

Sequence: UDUDUDUDDUDUDUDDDDU17
Parity sequence: UUUUDUUUDDDU17

Sequence executed:

Iteration Decimal Binary n mod 8 n mod 4
1. 17 10001 1 1 - Up
2. 50 110010 2 2 - Down
3. 25 11001 1 1 - Up  
4. 74 1001010 2 2 - Down
5. 37 100101 5 1 - Up  
6. 110 1101110 6 2 - Down
7. 55 110111 7 3 - Up  
8. 164 10100100 4 0 - Down
9. 82 1010010 2 2 - Down
10. 41 101001 1 1 - Up  
11. 122 1111010 2 2 - Down
12. 61 111101 5 1 - Up  
13. 182 10110110 6 2 - Down
14. 91 1011011 3 3 - Up  
15. 272 100010000 0 0 - Down
16. 136 10001000 0 0 - Down
17. 68 1000100 4 0 - Down
18. 34 100010 2 2 - Down
19. 17 10001 1 1 - Up