Infinity Staircase

You are climbing an infinity staircase, which (as its name suggests) has an infinite number of steps. You are currently standing at the $1$st step, and you would like to reach the $N$-th step. When standing at the $i$-th step, you can make one of the following three moves: - Move to step ${i+1}$ - Move to step ${i+2}$ - Move to step ${i+3}$ However, you can't make the same move twice in a row.