Select Change

In this challenge, there can be up to 30 different coins! Can you select a specific sum from a list of coins, without picking up 3 coins in a row?

Details
You will be given a list of numbers where the first number is the desired sum and the remaining numbers are the coins. Determine if the coins can be added together to reach the exact sum. However, you cannot select 3 coins in a row. (You also cannot use the same exact coin twice.)