this problem is INCOMPLETE as it does not specify the number of rods used for this instance of TOH.
So, the best we can do is to take the first version this problem which is from the temple of Kashi Vishwanath, which contains 3 rods.
$n$ represents the total number of disks and $S_n$ denotes the sequence of moving disks, each number represent the numbered $\text{n}^{\text{th}}$ disk that is moved as per the sequence. So,
\[\begin{array}{|c|ccccccccccccccc|} \hline n & S_n & & & & & & & & & & & & & & \\\hline 1 & 1 & & & & & & & & & & & & & & \\ 2 & 1 & 2 & 1 & & & & & & & & & & & & \\ 3 & 1 & 2 & 1 & 3 & 1 & 2 & 1 & & & & & & & & \\ 4 & 1 & 2 & 1 & 3 & 1 & 2 & 1 & 4 & 1 & 2 & 1 & 3 & 1 & 2 & 1 \\\hline \end{array}\]
from which we observe that the smallest disk marked by the digit $1$ makes $2^{(n-1)}$ moves in each case.
Hence, answer = $2^{16}$ as we have 17 disks in this case.