Please using #include only. Thank you very much!

Write a program with a loop to ask the user for an integer greater than or equal to 2 and then pass the integer to a function which will produce and display on the console the ulam sequence^1. Do not accept a number less than 2. ^1 The ulam sequence begins with an integer. If it is even, divide by 2. If it is odd. multiply by 3 and add 1. Then apply the appropriate rule to the resulting integer. Continue in this way until the number produced is 1. This sequence will always, eventually produce a value of 1. Why