Sequence builder 3n-1 from odd to odd

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

Action Select New odd number (dec) New odd number (bin) New odd number mod 8 Movement
n * 4 - 1 3 (Alias for 1) 11 3 Up  
n - (n-1)/3 1 1 1 Down
n + (n+1)/3 (not possible)       Up  
Submit   1  5  17     

Sequence: UDU1
Parity sequence: UU1

Sequence executed:

Iteration Decimal Binary n mod 8 n mod 4
1. 1 1 1 1 - Up
2. 2 10 2 2 - Down
3. 1 1 1 1 - Up