Sequence builder 3n-1 from odd to odd

Current n: 5 (dec) 101 (bin) mod 8 = 5

Action Select New odd number (dec) New odd number (bin) New odd number mod 8 Movement
n * 4 - 1 19 (Alias for 5) 10011 3 Up  
n - (n-1)/3 (not possible)       Down
n + (n+1)/3 7 111 7 Up  
Submit   1  5  17     

Sequence: UDUDDU5
Parity sequence: UUDU5

Sequence executed:

Iteration Decimal Binary n mod 8 n mod 4
1. 5 101 5 1 - Up
2. 14 1110 6 2 - Down
3. 7 111 7 3 - Up  
4. 20 10100 4 0 - Down
5. 10 1010 2 2 - Down
6. 5 101 5 1 - Up