Write a script that asks for an Integer (n) and then computes the following base

Question

Write a script that asks for an Integer (n) and then computes the following based on the value of the Integer: While the value of n is greater than 1, replace the integer with half of Its value (n/2)lf the Integer is even. otherwise, replace the Integer with three times its value, plus 1 (3 * n+1). Make provision to count the number of values in (or the length of the sequence that results. Example calculation: If n = 10, the sequence of Integers is 5, 16, 8, 4, 2, 1 and so the length is 6. Make a plot of the length of the sequence that occurs as a function of the integers from 2 to 30. For in example, when n = 10, the length is 6 while for n = 15, the length is 17. Is there any pattern? Try larger numbers to see if any pattern occurs. Is there any integer for which the sequence does not terminate?

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