Consider the sequence:

$2,18,162,1458,13122,118098,...$

Create a program that asks the user to enter two numbers X and Y$,$ with X less than Y$.$ Then the program displays all of the numbers in the above sequence starting with the number in the sequence in position X and ending with the number in the sequence in position Y$.$

For example, if the user enters $3$ and $6,$ the program displays the numbers $162,1458,13122,$ and $118098.$

Note:$$

The inputs X and Y are position numbers in the sequence, not actual numbers in the sequence.$$ For example, X$=2$ means the number in the sequence in second position in the sequence $($in this case $18).$

The program outputs all of the numbers in the sequence in between the Xth and Yth positions in the sequence.$$ For example, X$=3$ and Y$=6$ means the program will output all of the numbers in the sequence starting at the third position and ending at the sixth position.