Problem

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Exercise

Consider a frame of bowling pins shown below, where each * represents a pin:

There are 5 rows and a total of 15 pins.

If we had only the top 4 rows, then there would be a total of 10 pins.

If we had only the top three rows, then there would be a total of six pins.

If we had only the top two rows, then there would be a total of three pins.

If we had only the top row, then there would be a total of one pin.

Write a recursive function that takes as input the number of rows n and outputs the total number of pins that would exist in a pyramid with n rows. Your program should allow for values of n that are larger than 5.

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Solutions For Problems in Chapter 11