"Wicked" Sets!

A set of positive integers is defined to be wicked if it contains no three consecutive integers. We count the empty set, which contains no elements at all, as a wicked set. Find the number of wicked subsets of the set { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } \{1,2,3,4,5,6,7,8,9,10\} .


The answer is 504.

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