A father complained that his son's allowance of $5 per week
was too much. The son replied, "Okay, Dad. How about this?
You give me a penny for the first day of the month, 2 cents for
the next, 4 cents for the next, 8 cents for the next, and so on for
every day of the month." The father readily consented. Who was
the more clever? What would the son's allowance be on day 31?