A060575 Tower of Hanoi: using the optimal way to move an even number of disks from peg 0 to peg 2 or an odd number from peg 0 to peg 1, a(n) is the smallest disk on peg 2 after n moves (or 0 if there are no disks on peg 2).
0, 0, 2, 1, 1, 2, 0, 0, 4, 1, 1, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 1, 1, 4, 0, 0, 2, 1, 1, 2, 0, 0, 6, 1, 1, 6, 3, 3, 2, 1, 1, 2, 3, 3, 6, 1, 1, 6, 5, 5, 2, 1, 1, 2, 5, 5, 4, 1, 1, 4, 3, 3, 2, 1, 1, 2, 3, 3, 4, 1, 1, 4, 5, 5, 2, 1, 1, 2, 5, 5, 6, 1, 1, 6, 3, 3, 2, 1, 1, 2, 3, 3, 6, 1, 1, 6, 0, 0, 2, 1, 1, 2, 0, 0, 4
Offset: 0
Examples
Start by moving first disk from peg 0 to peg 1, second disk from peg 0 to peg 2, first disk from peg 1 to peg 2, etc. so sequence starts 0,0,2,1,...